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## Autor Christian Constanda |

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Título : Differential Equations : A Primer for Scientists and Engineers Tipo de documento: documento electrónico Autores: Christian Constanda ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Springer Undergraduate Texts in Mathematics and Technology, ISSN 1867-5506 Número de páginas: XV, 263 p. 30 illus Il.: online resource ISBN/ISSN/DL: 978-1-4614-7297-1 Idioma : Inglés ( eng)Palabras clave: Mathematics Difference equations Functional and Equations Clasificación: 51 Matemáticas Resumen: Differential Equations: A Primer for Scientists and Engineers is a textbook designed with the needs of today’s student in mind. It is the ideal textbook for a first course in elementary differential equations for future engineers and scientists, including mathematicians. This book is accessible to anyone who has a basic knowledge of precalculus algebra and differential and integral calculus. Its carefully crafted text adopts a concise, simple, no-frills approach to differential equations, which helps students acquire a solid experience in many classical solution techniques. With a lighter accent on the physical interpretation of the results, a more manageable page count than comparable texts, a highly readable style, and over 800 exercises designed to be solved without a calculating device, this book emphasizes the understanding and practice of essential topics in a succinct yet fully rigorous fashion. The book formally splits the "pure" and "applied" parts of the contents by placing the discussion of selected mathematical models in separate chapters. At the end of most of the 230 worked examples, the author provides the Mathematica® commands for verifying the results. The book can be used independently by the average student to learn the fundamentals of the subject, while those interested in pursuing more advanced material can regard it as an easily taken first step on the way to the next level. Additionally, practitioners who encounter differential equations in their professional work will find this text to be a convenient source of reference. Other Springer publications by Christian Constanda: Dude, Can you Count? ISBN: 978-1-84882-538-3; Stationary Oscillations of Elastic Plates, ISBN: 978-0-8176-8340-8. Christian Constanda, MS, PhD, DSc, is the holder of the Charles W. Oliphant Endowed Chair in Mathematical Sciences at the University of Tulsa, USA. He is also the Chairman of the International Consortium on Integral Methods in Science and Engineering (IMSE). Nota de contenido: 1. Introduction -- 2. First Order Equations -- 3. Mathematical Models with First-Order Equations -- 4. Linear Second-Order Equations -- 4. Higher-Order Equations -- 5. Mathematical Models with Second-Order Equations -- 6. Higher-Order Linear Equations -- 7. Systems of Differential Equations -- 8. The Laplace Transformation -- 9. Series Solutions -- A. Algebra Techniques -- B. Calculus Techniques -- C. Table of Laplace Transforms -- D. The Greek Alphabet En línea: http://dx.doi.org/10.1007/978-1-4614-7297-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32347 Differential Equations : A Primer for Scientists and Engineers [documento electrónico] / Christian Constanda ; SpringerLink (Online service) . - New York, NY : Springer New York : Imprint: Springer, 2013 . - XV, 263 p. 30 illus : online resource. - (Springer Undergraduate Texts in Mathematics and Technology, ISSN 1867-5506) .ISBN: 978-1-4614-7297-1

Idioma : Inglés (eng)

Palabras clave: Mathematics Difference equations Functional and Equations Clasificación: 51 Matemáticas Resumen: Differential Equations: A Primer for Scientists and Engineers is a textbook designed with the needs of today’s student in mind. It is the ideal textbook for a first course in elementary differential equations for future engineers and scientists, including mathematicians. This book is accessible to anyone who has a basic knowledge of precalculus algebra and differential and integral calculus. Its carefully crafted text adopts a concise, simple, no-frills approach to differential equations, which helps students acquire a solid experience in many classical solution techniques. With a lighter accent on the physical interpretation of the results, a more manageable page count than comparable texts, a highly readable style, and over 800 exercises designed to be solved without a calculating device, this book emphasizes the understanding and practice of essential topics in a succinct yet fully rigorous fashion. The book formally splits the "pure" and "applied" parts of the contents by placing the discussion of selected mathematical models in separate chapters. At the end of most of the 230 worked examples, the author provides the Mathematica® commands for verifying the results. The book can be used independently by the average student to learn the fundamentals of the subject, while those interested in pursuing more advanced material can regard it as an easily taken first step on the way to the next level. Additionally, practitioners who encounter differential equations in their professional work will find this text to be a convenient source of reference. Other Springer publications by Christian Constanda: Dude, Can you Count? ISBN: 978-1-84882-538-3; Stationary Oscillations of Elastic Plates, ISBN: 978-0-8176-8340-8. Christian Constanda, MS, PhD, DSc, is the holder of the Charles W. Oliphant Endowed Chair in Mathematical Sciences at the University of Tulsa, USA. He is also the Chairman of the International Consortium on Integral Methods in Science and Engineering (IMSE). Nota de contenido: 1. Introduction -- 2. First Order Equations -- 3. Mathematical Models with First-Order Equations -- 4. Linear Second-Order Equations -- 4. Higher-Order Equations -- 5. Mathematical Models with Second-Order Equations -- 6. Higher-Order Linear Equations -- 7. Systems of Differential Equations -- 8. The Laplace Transformation -- 9. Series Solutions -- A. Algebra Techniques -- B. Calculus Techniques -- C. Table of Laplace Transforms -- D. The Greek Alphabet En línea: http://dx.doi.org/10.1007/978-1-4614-7297-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32347 ## Ejemplares

Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar

Título : Dude, Can You Count? : Stories, Challenges, and Adventures in Mathematics Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Christian Constanda Editorial: London : Springer London Fecha de publicación: 2009 Número de páginas: XIX, 294 p. 25 illus Il.: online resource ISBN/ISSN/DL: 978-1-84882-539-0 Idioma : Inglés ( eng)Palabras clave: Mathematics Algebra Geometry Mathematical logic Popular works Mathematics, general Science, Logic and Foundations Clasificación: 51 Matemáticas Resumen: Imagine algebra class meets The Hitchhiker’s Guide to the Galaxy… Meet JJ, an unusual character with a unique vantage position from which he can measure and monitor humanity’s progress. Armed with a device that compels all around it to tell the truth, JJ offers a satirical evaluation of our attitudes to numeracy and logic, touching upon several aspects of life on Earth along the way, from the criminal justice system and people’s use of language to highway driving and modern art. A collection of mathematically-flavored stories and jokes, interlaced with puzzles, paradoxes and problems, fuse together in an entertaining, free-flowing narrative that will engage and amuse anyone with an interest in the issues confronting society today. JJ demonstrates how a lack of elementary mathematical knowledge can taint our work and general thinking and reflects upon the importance of what is arguably our most valuable weapon against ignorance: a sound mathematical education. What is JJ’s prognosis for our future? There’s only one way to find out... "Numbers, logic, human behavior and aliens: this unique book blends them all into a captivating narrative of serious talk and satire, where wit and scholarly details are counterpointed by instructive puzzles and mathematical fun. A ‘must read’ for anybody who appreciates humor and culture." Stanislav Potapenko, Department of Civil and Environmental Engineering, University of Waterloo, Canada "... a real delight. Constanda has managed to intertwine stories, puzzles, logic and some very rich mathematics concepts into a very readable, enjoyable novel... I believe this book should be in the personal library of every high school mathematics teacher." Tom Becvar, St Louis University High School, USA "…a highly readable, unique and fascinating combination of humor, mathematics and social commentary that is factual, educational and, more importantly, understandable. Given what is taking place in today’s society, J.J. Moon brings mathematics back to earth! I’ll never go through the car buying process again without thinking about SCAM 16!" Jerry Hoopert, VP / Chief Administrative Officer, Tulsa Teachers Credit Union, USA Nota de contenido: JJ and the MICQ -- The Mathematical Commandments -- The Public School System -- The School Mathematical Education -- Language, Grammar, and Punctuation -- Foreign Languages -- Foreign Countries and Foreigners -- Mathematics and the Public -- The Question of Calculus -- Political Correctness -- TV Advertising -- Highway Driving -- Units of Measurement -- Percentages and Living on Debt -- Modern Art -- Averages and Buying Cars -- The Public Media -- The Criminal Legal System -- Civil Litigation -- Statistics and Probability -- Academic Politics -- Antisocial Behavior -- Mathematicians Versus Engineers -- The Evolution of Knowledge -- The Virtues of Mathematics En línea: http://dx.doi.org/10.1007/978-1-84882-539-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33987 Dude, Can You Count? : Stories, Challenges, and Adventures in Mathematics [documento electrónico] / SpringerLink (Online service) ; Christian Constanda . - London : Springer London, 2009 . - XIX, 294 p. 25 illus : online resource.ISBN: 978-1-84882-539-0

Idioma : Inglés (eng)

Palabras clave: Mathematics Algebra Geometry Mathematical logic Popular works Mathematics, general Science, Logic and Foundations Clasificación: 51 Matemáticas Resumen: Imagine algebra class meets The Hitchhiker’s Guide to the Galaxy… Meet JJ, an unusual character with a unique vantage position from which he can measure and monitor humanity’s progress. Armed with a device that compels all around it to tell the truth, JJ offers a satirical evaluation of our attitudes to numeracy and logic, touching upon several aspects of life on Earth along the way, from the criminal justice system and people’s use of language to highway driving and modern art. A collection of mathematically-flavored stories and jokes, interlaced with puzzles, paradoxes and problems, fuse together in an entertaining, free-flowing narrative that will engage and amuse anyone with an interest in the issues confronting society today. JJ demonstrates how a lack of elementary mathematical knowledge can taint our work and general thinking and reflects upon the importance of what is arguably our most valuable weapon against ignorance: a sound mathematical education. What is JJ’s prognosis for our future? There’s only one way to find out... "Numbers, logic, human behavior and aliens: this unique book blends them all into a captivating narrative of serious talk and satire, where wit and scholarly details are counterpointed by instructive puzzles and mathematical fun. A ‘must read’ for anybody who appreciates humor and culture." Stanislav Potapenko, Department of Civil and Environmental Engineering, University of Waterloo, Canada "... a real delight. Constanda has managed to intertwine stories, puzzles, logic and some very rich mathematics concepts into a very readable, enjoyable novel... I believe this book should be in the personal library of every high school mathematics teacher." Tom Becvar, St Louis University High School, USA "…a highly readable, unique and fascinating combination of humor, mathematics and social commentary that is factual, educational and, more importantly, understandable. Given what is taking place in today’s society, J.J. Moon brings mathematics back to earth! I’ll never go through the car buying process again without thinking about SCAM 16!" Jerry Hoopert, VP / Chief Administrative Officer, Tulsa Teachers Credit Union, USA Nota de contenido: JJ and the MICQ -- The Mathematical Commandments -- The Public School System -- The School Mathematical Education -- Language, Grammar, and Punctuation -- Foreign Languages -- Foreign Countries and Foreigners -- Mathematics and the Public -- The Question of Calculus -- Political Correctness -- TV Advertising -- Highway Driving -- Units of Measurement -- Percentages and Living on Debt -- Modern Art -- Averages and Buying Cars -- The Public Media -- The Criminal Legal System -- Civil Litigation -- Statistics and Probability -- Academic Politics -- Antisocial Behavior -- Mathematicians Versus Engineers -- The Evolution of Knowledge -- The Virtues of Mathematics En línea: http://dx.doi.org/10.1007/978-1-84882-539-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33987 ## Ejemplares

Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Integral Methods in Science and Engineering / SpringerLink (Online service) ; Christian Constanda ; Harris, Paul J (2011)

Título : Integral Methods in Science and Engineering : Computational and Analytic Aspects Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Christian Constanda ; Harris, Paul J Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2011 Número de páginas: XXVI, 422 p. 98 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-8238-5 Idioma : Inglés ( eng)Palabras clave: Mathematics Integral equations Differential Partial differential Computer mathematics Applied Engineering Continuum mechanics Equations Appl.Mathematics/Computational Methods of Ordinary Mechanics and Materials Computational Numerical Analysis Clasificación: 51 Matemáticas Resumen: The systematic study of the physical world is largely based on the design of mathematical models using many different types of ordinary differential, partial differential, integral, and integro-differential equations. The solutions of these equations are therefore of great interest to practitioners and to science in general. With a wealth of cutting-edge research in the field, Integral Methods in Science and Engineering: Computational and Analytic Aspects provides a vivid picture of both the development of theoretical integral techniques and their use in specific science and engineering problems. The volume is an outgrowth of talks presented by world-renowned researchers at the Eleventh International Conference on Integral Methods in Science and Engineering held in Brighton, UK, July 12–14, 2010. The array of topics they address is immense, ranging from theoretical advances in boundary integral methods to applications of analytic and numerical quadrature techniques as diverse as integral equations, finite and boundary elements, conservation laws, hybrid approaches, and more. With ample coverage of theory and applications, this book will be a valuable resource for researchers in applied mathematics, physics, and mechanical and electrical engineering, for graduate students in these disciplines, and for various other professionals who use integration as an essential technique in their work Nota de contenido: Preface -- Collocation Method for Cauchy Integral Equations in L^2 -- On a New Definition of the Reynolds Number from the Interplay of Macroscopic and Microscopic Phenomenology -- A Self-Consistent Monte Carlo Validation Procedure for Hadron Cancer Therapy Simulation -- A General Analytical Solution of the Advection–Diffusion Equation for Fickian Closure -- A Novel Method for Simulating Spectral Nuclear Reactor Criticality by Spatially Dependent Volume Size Control -- Adaptive Particle Filter for Stable Distribution -- On the Analytical Solution of the Multi-Group Neutron Kinetic Diffusion Equations in One-Dimensional Cartesian Geometry by the Integral Transformation Technique -- Estimating the Validity of Statistical Energy Analysis Using Dynamic Energy Analysis -- Efficient Iterative Methods for Fast Solution of Integral Operators -- Analysis of Some Localized Boundary–Domain Integral Equations for Transmission Problems with Variable Coefficients -- Analysis of Segregated Boundary–Domain Integral Equations for Variable-Coefficient BVPs in Exterior Domains -- Thermoelastic Plates with Arc-Shaped Cracks -- Almost Periodicity in Semilinear Systems -- Bubble Behavior Near a Two-Fluid Interface -- Spectral Stiff Problems in Domains with Strongly Oscillating Boundary -- Spectra and Pseudospectra of the Convection–Diffusion Operator -- A Necessary and Sufficient Condition for the Existence of Absolute Minimizers for Energy Functionals with Scale Invariance -- Nonlinear Abel-Type Integral Equation Modeling in Creep Crack Propagation -- Some Thoughts on Methods for Evaluating a Class of Highly Oscillatory Integrals -- Numerical Experiments for Mammary Adenocarcinoma Cell Progression -- Limiting Cases of Subdiffusion -- A New Hybrid Method to Predict the Distribution of Vibro-Acoustic Energy in Complex Built-up Structures -- 2-D and 3-D Elastodynamic Contact Problems for Interface Cracks Under Harmonic Loading -- Asymptotic Behavior of Elliptic Quadric Algebraic Equations with Variable Coefficients and Aerodynamical Applications -- Artificial Neural Networks for Estimating Atmospheric Pollutant Sources -- A Theoretical Study of the Stratified Atmospheric Boundary Layer Through Perturbation Techniques -- Integro-Differential Equations for Stress Analysis at the Bridged Zone of an Interface Crack -- Design and Performance of Gas–Liquid Cylindrical Cyclone/Slug Damper System -- On the Quasimodes for compact Operators and Associated Evolution Problems -- Error Estimation by Means of Richardson Extrapolation with the Boundary Element Method in a Dirichlet Problem for the Laplace Equation -- Convergence of a Discretization Scheme Based on the Characteristics Method for a Fluid-Rigid System -- An Efficient Algorithm to Solve the GITT-Transformed 2-D Neutron Diffusion Equation -- Nonlinear Localized Dissipative Structures for Solving Wave Equations over Long Distances -- Semianalytical Approach to the Computation of the Laplace Transform of Source Functions -- Asymptotic Analysis of Singularities for Pseudodifferential Equations in Canonical Non-Smooth Domains -- Optimizing Water Quality in a River Section -- Boundary Integral Equations for Arbitrary Geometry Shells. On the Determination of the Albedo Boundary Conditions by Solving the One-Speed Neutron Transport Equation in Slab-Geometry with the LTSN Method. Numerical Solution of the Electric Field Integral Equation on Polyhedral Surfaces -- A High Frequency Problem of Scattering by Convex Polygons with Impedance Boundary Conditions -- Localized Segregated Boundary–Domain Integral Equation Formulation for Transmission Problems -- Distributional Solutions for Boundary Integral Methods in the Theory of Bending of Thermoelastic Plates. New Spaces: A Semi-linear Case -- Generalized Particle Filter: PDF with Undefined Statistical Moments -- Droplet Heating and Evaporation in the Presence of a Moving Boundary: Numerical Analysis Based on Analytical Solutions -- Solution of a Nonlinear Abel-type Integral Equation Modeling Crack Propagation Under Creep and Fatigue -- Some Thoughts on Methods for Evaluating a Class of Highly Oscillatory Integrals -- Domain Decomposition with Lagrange Multipliers for Hypersingular Integral Equations -- Numerical Integration Methods for Functions with Singularities by Partition Integration -- Multiple Trace Boundary Integral Formulation for Helmholtz Transmission Problems -- Limiting Cases of Subdiffusion.-New Trends in Inverse Scattering Theory -- Transient Mechanistic Model for Slug Damper/ (GLCC)Compact Separator System -- Exact 3-D Galerkin Integrals for Planar Cracks -- Interface Cracks Under Harmonic Loading: Effect of Crack Face Contact Interaction -- Localized Segregated Boundary–Domain Integral Equation Formulation for Mixed Type Boundary Value Problems -- On the Robustness of the GITT Solution for the 2-D Neutron Diffusion Equation in Cartesian Geometry -- Conditioning Numerical Models with Application to Petroleum Reservoir Chracterization -- Computation of the Spectrum for Some Elliptic Operators on Periodic Waveguides with Variable Density -- Numerical Simulation of Short Waves over Long Distances as Nonlinear Solitary Waves -- Pseudodifferential Equations in Domains with Boundary Singularities -- Optimizing Water Quality in a River Section -- Semi-analytical Approach to the Computation of the Laplace Transform of 3-D Source Functions -- Boundary Integral Equations for Shells of Arbitrary Geometry -- Solutions to Model Equations for Cancer Growth En línea: http://dx.doi.org/10.1007/978-0-8176-8238-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33108 Integral Methods in Science and Engineering : Computational and Analytic Aspects [documento electrónico] / SpringerLink (Online service) ; Christian Constanda ; Harris, Paul J . - Boston : Birkhäuser Boston, 2011 . - XXVI, 422 p. 98 illus : online resource.ISBN: 978-0-8176-8238-5

Idioma : Inglés (eng)

Palabras clave: Mathematics Integral equations Differential Partial differential Computer mathematics Applied Engineering Continuum mechanics Equations Appl.Mathematics/Computational Methods of Ordinary Mechanics and Materials Computational Numerical Analysis Clasificación: 51 Matemáticas Resumen: The systematic study of the physical world is largely based on the design of mathematical models using many different types of ordinary differential, partial differential, integral, and integro-differential equations. The solutions of these equations are therefore of great interest to practitioners and to science in general. With a wealth of cutting-edge research in the field, Integral Methods in Science and Engineering: Computational and Analytic Aspects provides a vivid picture of both the development of theoretical integral techniques and their use in specific science and engineering problems. The volume is an outgrowth of talks presented by world-renowned researchers at the Eleventh International Conference on Integral Methods in Science and Engineering held in Brighton, UK, July 12–14, 2010. The array of topics they address is immense, ranging from theoretical advances in boundary integral methods to applications of analytic and numerical quadrature techniques as diverse as integral equations, finite and boundary elements, conservation laws, hybrid approaches, and more. With ample coverage of theory and applications, this book will be a valuable resource for researchers in applied mathematics, physics, and mechanical and electrical engineering, for graduate students in these disciplines, and for various other professionals who use integration as an essential technique in their work Nota de contenido: Preface -- Collocation Method for Cauchy Integral Equations in L^2 -- On a New Definition of the Reynolds Number from the Interplay of Macroscopic and Microscopic Phenomenology -- A Self-Consistent Monte Carlo Validation Procedure for Hadron Cancer Therapy Simulation -- A General Analytical Solution of the Advection–Diffusion Equation for Fickian Closure -- A Novel Method for Simulating Spectral Nuclear Reactor Criticality by Spatially Dependent Volume Size Control -- Adaptive Particle Filter for Stable Distribution -- On the Analytical Solution of the Multi-Group Neutron Kinetic Diffusion Equations in One-Dimensional Cartesian Geometry by the Integral Transformation Technique -- Estimating the Validity of Statistical Energy Analysis Using Dynamic Energy Analysis -- Efficient Iterative Methods for Fast Solution of Integral Operators -- Analysis of Some Localized Boundary–Domain Integral Equations for Transmission Problems with Variable Coefficients -- Analysis of Segregated Boundary–Domain Integral Equations for Variable-Coefficient BVPs in Exterior Domains -- Thermoelastic Plates with Arc-Shaped Cracks -- Almost Periodicity in Semilinear Systems -- Bubble Behavior Near a Two-Fluid Interface -- Spectral Stiff Problems in Domains with Strongly Oscillating Boundary -- Spectra and Pseudospectra of the Convection–Diffusion Operator -- A Necessary and Sufficient Condition for the Existence of Absolute Minimizers for Energy Functionals with Scale Invariance -- Nonlinear Abel-Type Integral Equation Modeling in Creep Crack Propagation -- Some Thoughts on Methods for Evaluating a Class of Highly Oscillatory Integrals -- Numerical Experiments for Mammary Adenocarcinoma Cell Progression -- Limiting Cases of Subdiffusion -- A New Hybrid Method to Predict the Distribution of Vibro-Acoustic Energy in Complex Built-up Structures -- 2-D and 3-D Elastodynamic Contact Problems for Interface Cracks Under Harmonic Loading -- Asymptotic Behavior of Elliptic Quadric Algebraic Equations with Variable Coefficients and Aerodynamical Applications -- Artificial Neural Networks for Estimating Atmospheric Pollutant Sources -- A Theoretical Study of the Stratified Atmospheric Boundary Layer Through Perturbation Techniques -- Integro-Differential Equations for Stress Analysis at the Bridged Zone of an Interface Crack -- Design and Performance of Gas–Liquid Cylindrical Cyclone/Slug Damper System -- On the Quasimodes for compact Operators and Associated Evolution Problems -- Error Estimation by Means of Richardson Extrapolation with the Boundary Element Method in a Dirichlet Problem for the Laplace Equation -- Convergence of a Discretization Scheme Based on the Characteristics Method for a Fluid-Rigid System -- An Efficient Algorithm to Solve the GITT-Transformed 2-D Neutron Diffusion Equation -- Nonlinear Localized Dissipative Structures for Solving Wave Equations over Long Distances -- Semianalytical Approach to the Computation of the Laplace Transform of Source Functions -- Asymptotic Analysis of Singularities for Pseudodifferential Equations in Canonical Non-Smooth Domains -- Optimizing Water Quality in a River Section -- Boundary Integral Equations for Arbitrary Geometry Shells. On the Determination of the Albedo Boundary Conditions by Solving the One-Speed Neutron Transport Equation in Slab-Geometry with the LTSN Method. Numerical Solution of the Electric Field Integral Equation on Polyhedral Surfaces -- A High Frequency Problem of Scattering by Convex Polygons with Impedance Boundary Conditions -- Localized Segregated Boundary–Domain Integral Equation Formulation for Transmission Problems -- Distributional Solutions for Boundary Integral Methods in the Theory of Bending of Thermoelastic Plates. New Spaces: A Semi-linear Case -- Generalized Particle Filter: PDF with Undefined Statistical Moments -- Droplet Heating and Evaporation in the Presence of a Moving Boundary: Numerical Analysis Based on Analytical Solutions -- Solution of a Nonlinear Abel-type Integral Equation Modeling Crack Propagation Under Creep and Fatigue -- Some Thoughts on Methods for Evaluating a Class of Highly Oscillatory Integrals -- Domain Decomposition with Lagrange Multipliers for Hypersingular Integral Equations -- Numerical Integration Methods for Functions with Singularities by Partition Integration -- Multiple Trace Boundary Integral Formulation for Helmholtz Transmission Problems -- Limiting Cases of Subdiffusion.-New Trends in Inverse Scattering Theory -- Transient Mechanistic Model for Slug Damper/ (GLCC)Compact Separator System -- Exact 3-D Galerkin Integrals for Planar Cracks -- Interface Cracks Under Harmonic Loading: Effect of Crack Face Contact Interaction -- Localized Segregated Boundary–Domain Integral Equation Formulation for Mixed Type Boundary Value Problems -- On the Robustness of the GITT Solution for the 2-D Neutron Diffusion Equation in Cartesian Geometry -- Conditioning Numerical Models with Application to Petroleum Reservoir Chracterization -- Computation of the Spectrum for Some Elliptic Operators on Periodic Waveguides with Variable Density -- Numerical Simulation of Short Waves over Long Distances as Nonlinear Solitary Waves -- Pseudodifferential Equations in Domains with Boundary Singularities -- Optimizing Water Quality in a River Section -- Semi-analytical Approach to the Computation of the Laplace Transform of 3-D Source Functions -- Boundary Integral Equations for Shells of Arbitrary Geometry -- Solutions to Model Equations for Cancer Growth En línea: http://dx.doi.org/10.1007/978-0-8176-8238-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33108 ## Ejemplares

Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Integral Methods in Science and Engineering / SpringerLink (Online service) ; Christian Constanda ; Bodmann, Bardo E.J ; Velho, Haroldo F. de Campos (2013)

Título : Integral Methods in Science and Engineering : Progress in Numerical and Analytic Techniques Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Christian Constanda ; Bodmann, Bardo E.J ; Velho, Haroldo F. de Campos Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Birkhäuser Número de páginas: XIX, 401 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-7828-7 Idioma : Inglés ( eng)Palabras clave: Mathematics Integral equations Differential Partial differential Computer mathematics Applied Engineering Continuum mechanics Equations Appl.Mathematics/Computational Methods of Ordinary Mechanics and Materials Computational Numerical Analysis Clasificación: 51 Matemáticas Resumen: Advances in science and technology are driven by the development of rigorous mathematical foundations for the study of both theoretical and experimental models. With certain methodological variations, this type of study always comes down to the application of analytic or computational integration procedures, making such tools indispensible. With a wealth of cutting-edge research in the field, Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques provides a detailed portrait of both the construction of theoretical integral techniques and their application to specific problems in science and engineering. The chapters in this volume are based on talks given by well-known researchers at the Twelfth International Conference on Integral Methods in Science and Engineering, July 23–27, 2012, in Porto Alegre, Brazil. They address a broad range of topics, from problems of existence and uniqueness for singular integral equations on domain boundaries to numerical integration via finite and boundary elements, conservation laws, hybrid methods, and other quadrature-related approaches. The contributing authors bring their expertise to bear on a number of topical problems that have to date resisted solution, thereby offering help and guidance to fellow professionals worldwide. Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques will be a valuable resource for researchers in applied mathematics, physics, and mechanical and electrical engineering, for graduate students in these disciplines, and for various other professionals who use integration as an essential tool in their work Nota de contenido: 1 Multiphase Flow Splitting in Looped Pipelines -- 2 Green’s Function Decomposition Method for Transport Equation -- 3 Integral Neutron Transport and New Computational Methods: A Review -- 4 Scale Invariance and Some Limits in Transport Phenomenology: Existence of a Spontaneous Scale -- 5 On Coherent Structures from a Diffusion-Type Model -- 6 Numerical Simulation of the Dynamics of Molecular Markers Involved in Cell Polarization -- 7 Analytical Study of Computational Radiative Fluxes in a Heterogeneous Medium -- 8 A Novel Approach to the Hankel Transform Inversion of the Neutron Diffusion Problem Using the Parseval Identity -- 9 What Is Convergence Acceleration Anyway? -- 10 On the Fractal Pattern Phenomenology of Geological Fracture Signatures from a Scaling Law -- 11 Spectral Boundary Homogenization Problems in Perforated Domains with Robin Boundary Conditions and Large Parameters -- 12 A Finite Element Formulation of the Total Variation Method for Denoising a Set of Data -- 13 On the Convergence of the Multi-Group Isotropic Neutron LTSN Nodal Solution in Cartesian Geometry -- 14 Numerical Integration with Singularity by Taylor Series -- 15 Numerical Solutions of the 1D Convection–Diffusion–Reaction and the Burgers Equation Using Implicit Multi-Stage and Finite Element Methods -- 16 Analytical Reconstruction of Monoenergetic Neutron Angular Flux in Non-multiplying Slabs Using Diffusion Synthetic Approximation -- 17 On the Fractional Neutron Point Kinetics Equations -- 18 On a Closed Form Solution of the Point Kinetics Equations With a Modified Temperature Feedback -- 19 Eulerian Modeling of Radionuclides in Surficial Waters: The Case of Ilha Grande Bay (RJ, Brazil) -- 20 Fractional Calculus: Application in Modeling and Control -- 21 Modified Integral Equation Method for Stationary Plate Oscillations -- 22 Nonstandard Integral Equations for the Harmonic Oscillations of Thin Plates -- 23 A Genuine Analytical Solution for the SN Multi-Group Neutron Equation in Planar Geometry -- 24 Single-Phase Flow Instabilities: Effect of Pressure Waves in a Pump–Pipe–Plenum–Choke System -- 25 Two-Phase Flow Instabilities in Oil Wells: ESP Oscillatory Behavior and Casing-Heading -- 26 Validating a Closed Form Advection–Diffusion Solution by Experiments: Tritium Dispersion after Emission from the Brazilian Angra Dos Reis Nuclear Power Plant -- Index En línea: http://dx.doi.org/10.1007/978-1-4614-7828-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32368 Integral Methods in Science and Engineering : Progress in Numerical and Analytic Techniques [documento electrónico] / SpringerLink (Online service) ; Christian Constanda ; Bodmann, Bardo E.J ; Velho, Haroldo F. de Campos . - New York, NY : Springer New York : Imprint: Birkhäuser, 2013 . - XIX, 401 p : online resource.ISBN: 978-1-4614-7828-7

Idioma : Inglés (eng)

Palabras clave: Clasificación: 51 Matemáticas Resumen: Advances in science and technology are driven by the development of rigorous mathematical foundations for the study of both theoretical and experimental models. With certain methodological variations, this type of study always comes down to the application of analytic or computational integration procedures, making such tools indispensible. With a wealth of cutting-edge research in the field, Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques provides a detailed portrait of both the construction of theoretical integral techniques and their application to specific problems in science and engineering. The chapters in this volume are based on talks given by well-known researchers at the Twelfth International Conference on Integral Methods in Science and Engineering, July 23–27, 2012, in Porto Alegre, Brazil. They address a broad range of topics, from problems of existence and uniqueness for singular integral equations on domain boundaries to numerical integration via finite and boundary elements, conservation laws, hybrid methods, and other quadrature-related approaches. The contributing authors bring their expertise to bear on a number of topical problems that have to date resisted solution, thereby offering help and guidance to fellow professionals worldwide. Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques will be a valuable resource for researchers in applied mathematics, physics, and mechanical and electrical engineering, for graduate students in these disciplines, and for various other professionals who use integration as an essential tool in their work Nota de contenido: 1 Multiphase Flow Splitting in Looped Pipelines -- 2 Green’s Function Decomposition Method for Transport Equation -- 3 Integral Neutron Transport and New Computational Methods: A Review -- 4 Scale Invariance and Some Limits in Transport Phenomenology: Existence of a Spontaneous Scale -- 5 On Coherent Structures from a Diffusion-Type Model -- 6 Numerical Simulation of the Dynamics of Molecular Markers Involved in Cell Polarization -- 7 Analytical Study of Computational Radiative Fluxes in a Heterogeneous Medium -- 8 A Novel Approach to the Hankel Transform Inversion of the Neutron Diffusion Problem Using the Parseval Identity -- 9 What Is Convergence Acceleration Anyway? -- 10 On the Fractal Pattern Phenomenology of Geological Fracture Signatures from a Scaling Law -- 11 Spectral Boundary Homogenization Problems in Perforated Domains with Robin Boundary Conditions and Large Parameters -- 12 A Finite Element Formulation of the Total Variation Method for Denoising a Set of Data -- 13 On the Convergence of the Multi-Group Isotropic Neutron LTSN Nodal Solution in Cartesian Geometry -- 14 Numerical Integration with Singularity by Taylor Series -- 15 Numerical Solutions of the 1D Convection–Diffusion–Reaction and the Burgers Equation Using Implicit Multi-Stage and Finite Element Methods -- 16 Analytical Reconstruction of Monoenergetic Neutron Angular Flux in Non-multiplying Slabs Using Diffusion Synthetic Approximation -- 17 On the Fractional Neutron Point Kinetics Equations -- 18 On a Closed Form Solution of the Point Kinetics Equations With a Modified Temperature Feedback -- 19 Eulerian Modeling of Radionuclides in Surficial Waters: The Case of Ilha Grande Bay (RJ, Brazil) -- 20 Fractional Calculus: Application in Modeling and Control -- 21 Modified Integral Equation Method for Stationary Plate Oscillations -- 22 Nonstandard Integral Equations for the Harmonic Oscillations of Thin Plates -- 23 A Genuine Analytical Solution for the SN Multi-Group Neutron Equation in Planar Geometry -- 24 Single-Phase Flow Instabilities: Effect of Pressure Waves in a Pump–Pipe–Plenum–Choke System -- 25 Two-Phase Flow Instabilities in Oil Wells: ESP Oscillatory Behavior and Casing-Heading -- 26 Validating a Closed Form Advection–Diffusion Solution by Experiments: Tritium Dispersion after Emission from the Brazilian Angra Dos Reis Nuclear Power Plant -- Index En línea: http://dx.doi.org/10.1007/978-1-4614-7828-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32368 ## Ejemplares

Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Integral Methods in Science and Engineering / SpringerLink (Online service) ; Christian Constanda ; Potapenko, S (2008)

Título : Integral Methods in Science and Engineering : Techniques and Applications Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Christian Constanda ; Potapenko, S Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2008 Número de páginas: XVI, 298 p. 62 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4671-4 Idioma : Inglés ( eng)Palabras clave: Mathematics Integral equations Differential Partial differential Applied mathematics Engineering Computational intelligence Equations Appl.Mathematics/Computational Methods of Applications Intelligence Ordinary Clasificación: 51 Matemáticas Resumen: The physical world is studied by means of mathematical models, which consist of differential, integral, and integro-differential equations accompanied by a large assortment of initial and boundary conditions. In certain circumstances, such models yield exact analytic solutions. When they do not, they are solved numerically by means of various approximation schemes. Whether analytic or numerical, these solutions share a common feature: they are constructed by means of the powerful tool of integration—the focus of this self-contained book. An outgrowth of the Ninth International Conference on Integral Methods in Science and Engineering, this work illustrates the application of integral methods to diverse problems in mathematics, physics, biology, and engineering. The thirty two chapters of the book, written by scientists with established credentials in their fields, contain state-of-the-art information on current research in a variety of important practical disciplines. The problems examined arise in real-life processes and phenomena, and the solution techniques range from theoretical integral equations to finite and boundary elements. Specific topics covered include spectral computations, atmospheric pollutant dispersion, vibration of drilling masts, bending of thermoelastic plates, homogenization, equilibria in nonlinear elasticity, modeling of syringomyelia, fractional diffusion equations, operators on Lipschitz domains, systems with concentrated masses, transmission problems, equilibrium shape of axisymmetric vesicles, boundary layer theory, and many more. Integral Methods in Science and Engineering is a useful and practical guide to a variety of topics of interest to pure and applied mathematicians, physicists, biologists, and civil and mechanical engineers, at both the professional and graduate student level. Nota de contenido: Superconvergence of Projection Methods for Weakly Singular Integral Operators -- On Acceleration of Spectral Computations for Integral Operators with Weakly Singular Kernels -- Numerical Solution of Integral Equations in Solidification and Melting with Spherical Symmetry -- An Analytic Solution for the Steady-State Two-Dimensional Advection–Diffusion–Deposition Model by the GILTT Approach -- Analytic Two-Dimensional Atmospheric Pollutant Dispersion Simulation by Double GITT -- Transient Acoustic Radiation from a Thin Spherical Elastic Shell -- The Eigenfrequencies and Mode Shapes of Drilling Masts -- Layer Potentials in Dynamic Bending of Thermoelastic Plates -- Direct Methods in the Theory of Thermoelastic Plates -- The Dirichlet Problem for the Plane Deformation of a Thin Plate on an Elastic Foundation -- Some Remarks on Homogenization in Perforated Domains -- Dynamic Response of a Poroelastic Half-Space to Harmonic Line Tractions -- Convexity Conditions and Uniqueness and Regularity of Equilibria in Nonlinear Elasticity -- The Mathematical Modeling of Syringomyelia -- A System Iterative Method for Solving First-Kind, Degraded Identity Operator Equations -- Fast Numerical Integration Method Using Taylor Series -- Boundary Integral Solution of the Two-Dimensional Fractional Diffusion Equation -- About Traces, Extensions, and Co-Normal Derivative Operators on Lipschitz Domains -- On the Extension of Divergence-Free Vector Fields Across Lipschitz Interfaces -- Solutions of the Atmospheric Advection–Diffusion Equation by the Laplace Transformation -- On Quasimodes for Spectral Problems Arising in Vibrating Systems with Concentrated Masses -- Two-Sided Estimates for Local Minimizers in Compressible Elasticity -- Harmonic Oscillations in a Linear Theory of Antiplane Elasticity with Microstructure -- Exterior Dirichlet and Neumann Problems for the Helmholtz Equation as Limits of Transmission Problems -- Direct Boundary Element Method with Discretization of All Integral Operators -- Reciprocity in Elastomechanics: Development of Explicit Results for Mixed Boundary Value Problems -- Integral Equation Modeling of Electrostatic Interactions in Atomic Force Microscopy -- Integral Representation for the Solution of a Crack Problem Under Stretching Pressure in Plane Asymmetric Elasticity -- Euler–Bernoulli Beam with Energy Dissipation: Spectral Properties and Control -- Correct Equilibrium Shape Equation of Axisymmetric Vesicles -- Properties of Positive Solutions of the Falkner–Skan Equation Arising in Boundary Layer Theory -- Stabilization of a Four-Dimensional System under Real Noise Excitation En línea: http://dx.doi.org/10.1007/978-0-8176-4671-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34274 Integral Methods in Science and Engineering : Techniques and Applications [documento electrónico] / SpringerLink (Online service) ; Christian Constanda ; Potapenko, S . - Boston, MA : Birkhäuser Boston, 2008 . - XVI, 298 p. 62 illus : online resource.ISBN: 978-0-8176-4671-4

Idioma : Inglés (eng)

Palabras clave: Mathematics Integral equations Differential Partial differential Applied mathematics Engineering Computational intelligence Equations Appl.Mathematics/Computational Methods of Applications Intelligence Ordinary Clasificación: 51 Matemáticas Resumen: The physical world is studied by means of mathematical models, which consist of differential, integral, and integro-differential equations accompanied by a large assortment of initial and boundary conditions. In certain circumstances, such models yield exact analytic solutions. When they do not, they are solved numerically by means of various approximation schemes. Whether analytic or numerical, these solutions share a common feature: they are constructed by means of the powerful tool of integration—the focus of this self-contained book. An outgrowth of the Ninth International Conference on Integral Methods in Science and Engineering, this work illustrates the application of integral methods to diverse problems in mathematics, physics, biology, and engineering. The thirty two chapters of the book, written by scientists with established credentials in their fields, contain state-of-the-art information on current research in a variety of important practical disciplines. The problems examined arise in real-life processes and phenomena, and the solution techniques range from theoretical integral equations to finite and boundary elements. Specific topics covered include spectral computations, atmospheric pollutant dispersion, vibration of drilling masts, bending of thermoelastic plates, homogenization, equilibria in nonlinear elasticity, modeling of syringomyelia, fractional diffusion equations, operators on Lipschitz domains, systems with concentrated masses, transmission problems, equilibrium shape of axisymmetric vesicles, boundary layer theory, and many more. Integral Methods in Science and Engineering is a useful and practical guide to a variety of topics of interest to pure and applied mathematicians, physicists, biologists, and civil and mechanical engineers, at both the professional and graduate student level. Nota de contenido: Superconvergence of Projection Methods for Weakly Singular Integral Operators -- On Acceleration of Spectral Computations for Integral Operators with Weakly Singular Kernels -- Numerical Solution of Integral Equations in Solidification and Melting with Spherical Symmetry -- An Analytic Solution for the Steady-State Two-Dimensional Advection–Diffusion–Deposition Model by the GILTT Approach -- Analytic Two-Dimensional Atmospheric Pollutant Dispersion Simulation by Double GITT -- Transient Acoustic Radiation from a Thin Spherical Elastic Shell -- The Eigenfrequencies and Mode Shapes of Drilling Masts -- Layer Potentials in Dynamic Bending of Thermoelastic Plates -- Direct Methods in the Theory of Thermoelastic Plates -- The Dirichlet Problem for the Plane Deformation of a Thin Plate on an Elastic Foundation -- Some Remarks on Homogenization in Perforated Domains -- Dynamic Response of a Poroelastic Half-Space to Harmonic Line Tractions -- Convexity Conditions and Uniqueness and Regularity of Equilibria in Nonlinear Elasticity -- The Mathematical Modeling of Syringomyelia -- A System Iterative Method for Solving First-Kind, Degraded Identity Operator Equations -- Fast Numerical Integration Method Using Taylor Series -- Boundary Integral Solution of the Two-Dimensional Fractional Diffusion Equation -- About Traces, Extensions, and Co-Normal Derivative Operators on Lipschitz Domains -- On the Extension of Divergence-Free Vector Fields Across Lipschitz Interfaces -- Solutions of the Atmospheric Advection–Diffusion Equation by the Laplace Transformation -- On Quasimodes for Spectral Problems Arising in Vibrating Systems with Concentrated Masses -- Two-Sided Estimates for Local Minimizers in Compressible Elasticity -- Harmonic Oscillations in a Linear Theory of Antiplane Elasticity with Microstructure -- Exterior Dirichlet and Neumann Problems for the Helmholtz Equation as Limits of Transmission Problems -- Direct Boundary Element Method with Discretization of All Integral Operators -- Reciprocity in Elastomechanics: Development of Explicit Results for Mixed Boundary Value Problems -- Integral Equation Modeling of Electrostatic Interactions in Atomic Force Microscopy -- Integral Representation for the Solution of a Crack Problem Under Stretching Pressure in Plane Asymmetric Elasticity -- Euler–Bernoulli Beam with Energy Dissipation: Spectral Properties and Control -- Correct Equilibrium Shape Equation of Axisymmetric Vesicles -- Properties of Positive Solutions of the Falkner–Skan Equation Arising in Boundary Layer Theory -- Stabilization of a Four-Dimensional System under Real Noise Excitation En línea: http://dx.doi.org/10.1007/978-0-8176-4671-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34274 ## Ejemplares

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