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Link de la búsquedaAdvanced Computational Methods in Science and Engineering / SpringerLink (Online service) ; Barry Koren ; Kees Vuik (2010)
Título : Advanced Computational Methods in Science and Engineering Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Barry Koren ; Kees Vuik Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2010 Colección: Lecture Notes in Computational Science and Engineering, ISSN 1439-7358 num. 71 Número de páginas: X, 498 p. 258 illus., 119 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-642-03344-5 Idioma : Inglés (eng) Palabras clave: Mathematics Computer mathematics Physics Applied Engineering Mechanical engineering Computational and Numerical Analysis Science Appl.Mathematics/Computational Methods of Clasificación: 51 Matemáticas Resumen: The aim of the present book is to show, in a broad and yet deep way, the state of the art in computational science and engineering. Examples of topics addressed are: fast and accurate numerical algorithms, model-order reduction, grid computing, immersed-boundary methods, and specific computational methods for simulating a wide variety of challenging problems, problems such as: fluid-structure interaction, turbulent flames, bone-fracture healing, micro-electro-mechanical systems, failure of composite materials, storm surges, particulate flows, and so on. The main benefit offered to readers of the book is a well-balanced, up-to-date overview over the field of computational science and engineering, through in-depth articles by specialists from the separate disciplines Nota de contenido: A Model-Order Reduction Approach to Parametric Electromagnetic Inversion -- Shifted-Laplacian Preconditioners for Heterogeneous Helmholtz Problems -- On Numerical Issues in Time Accurate Laminar Reacting Gas Flow Solvers -- Parallel Scientific Computing on Loosely Coupled Networks of Computers -- Data Assimilation Algorithms for Numerical Models -- Radial Basis Functions for Interface Interpolation and Mesh Deformation -- Least-Squares Spectral Element Methods in Computational Fluid Dynamics -- Finite-Volume Discretizations and Immersed Boundaries -- Large Eddy Simulation of Turbulent Non-Premixed Jet Flames with a High Order Numerical Method -- A Suite of Mathematical Models for Bone Ingrowth, Bone Fracture Healing and Intra-Osseous Wound Healing -- Numerical Modeling of the Electromechanical Interaction in MEMS -- Simulation of Progressive Failure in Composite Laminates -- Numerical Modeling of Wave Propagation, Breaking and Run-Up on a Beach -- Hybrid Navier-Stokes/DSMC Simulations of Gas Flows with Rarefied-Continuum Transitions -- Multi-Scale PDE-Based Design of Hierarchically Structured Porous Catalysts -- From Molecular Dynamics and Particle Simulations towards Constitutive Relations for Continuum Theory En línea: http://dx.doi.org/10.1007/978-3-642-03344-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33713 Advanced Computational Methods in Science and Engineering [documento electrónico] / SpringerLink (Online service) ; Barry Koren ; Kees Vuik . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2010 . - X, 498 p. 258 illus., 119 illus. in color : online resource. - (Lecture Notes in Computational Science and Engineering, ISSN 1439-7358; 71) .
ISBN : 978-3-642-03344-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer mathematics Physics Applied Engineering Mechanical engineering Computational and Numerical Analysis Science Appl.Mathematics/Computational Methods of Clasificación: 51 Matemáticas Resumen: The aim of the present book is to show, in a broad and yet deep way, the state of the art in computational science and engineering. Examples of topics addressed are: fast and accurate numerical algorithms, model-order reduction, grid computing, immersed-boundary methods, and specific computational methods for simulating a wide variety of challenging problems, problems such as: fluid-structure interaction, turbulent flames, bone-fracture healing, micro-electro-mechanical systems, failure of composite materials, storm surges, particulate flows, and so on. The main benefit offered to readers of the book is a well-balanced, up-to-date overview over the field of computational science and engineering, through in-depth articles by specialists from the separate disciplines Nota de contenido: A Model-Order Reduction Approach to Parametric Electromagnetic Inversion -- Shifted-Laplacian Preconditioners for Heterogeneous Helmholtz Problems -- On Numerical Issues in Time Accurate Laminar Reacting Gas Flow Solvers -- Parallel Scientific Computing on Loosely Coupled Networks of Computers -- Data Assimilation Algorithms for Numerical Models -- Radial Basis Functions for Interface Interpolation and Mesh Deformation -- Least-Squares Spectral Element Methods in Computational Fluid Dynamics -- Finite-Volume Discretizations and Immersed Boundaries -- Large Eddy Simulation of Turbulent Non-Premixed Jet Flames with a High Order Numerical Method -- A Suite of Mathematical Models for Bone Ingrowth, Bone Fracture Healing and Intra-Osseous Wound Healing -- Numerical Modeling of the Electromechanical Interaction in MEMS -- Simulation of Progressive Failure in Composite Laminates -- Numerical Modeling of Wave Propagation, Breaking and Run-Up on a Beach -- Hybrid Navier-Stokes/DSMC Simulations of Gas Flows with Rarefied-Continuum Transitions -- Multi-Scale PDE-Based Design of Hierarchically Structured Porous Catalysts -- From Molecular Dynamics and Particle Simulations towards Constitutive Relations for Continuum Theory En línea: http://dx.doi.org/10.1007/978-3-642-03344-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33713 Ejemplares
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Título : Control of Turbulent and Magnetohydrodynamic Channel Flows : Boundary Stabilization and State Estimation Tipo de documento: documento electrónico Autores: Rafael Vazquez ; SpringerLink (Online service) ; Miroslav Krstic Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2008 Colección: Systems&Control: Foundations&Applications Número de páginas: X, 212 p Il.: online resource ISBN/ISSN/DL: 978-0-8176-4699-8 Idioma : Inglés (eng) Palabras clave: Physics Partial differential equations System theory Continuum physics Thermodynamics Heat engineering transfer Mass Fluid mechanics Mechanical Classical Systems Theory, Control Engineering Dynamics Differential Equations Thermodynamics, and Transfer Clasificación: 51 Matemáticas Resumen: This monograph presents new constructive design methods for boundary stabilization and boundary estimation for several classes of benchmark problems in flow control, with potential applications to turbulence control, weather forecasting, and plasma control. The basis of the approach used in the work is the recently developed continuous backstepping method for parabolic partial differential equations, expanding the applicability of boundary controllers for flow systems from low Reynolds numbers to high Reynolds number conditions. Efforts in flow control over the last few years have led to a wide range of developments in many different directions, but most implementable developments thus far have been obtained using discretized versions of the plant models and finite-dimensional control techniques. In contrast, the design methods examined in this book are based on the “continuum” version of the backstepping approach, applied to the PDE model of the flow. The postponement of spatial discretization until the implementation stage offers a range of numerical and analytical advantages. Specific topics and features: * Introduction of control and state estimation designs for flows that include thermal convection and electric conductivity, namely, flows where instability may be driven by thermal gradients and external magnetic fields. * Application of a special "backstepping" approach where the boundary control design is combined with a particular Volterra transformation of the flow variables, which yields not only the stabilization of the flow, but also the explicit solvability of the closed-loop system. * Presentation of a result unprecedented in fluid dynamics and in the analysis of Navier–Stokes equations: closed-form expressions for the solutions of linearized Navier–Stokes equations under feedback. * Extension of the backstepping approach to eliminate one of the well-recognized root causes of transition to turbulence: the decoupling of the Orr–Sommerfeld and Squire systems. Control of Turbulent and Magnetohydrodynamic Channel Flows is an excellent reference for a broad, interdisciplinary engineering and mathematics audience: control theorists, fluid mechanicists, mechanical engineers, aerospace engineers, chemical engineers, electrical engineers, applied mathematicians, as well as research and graduate students in the above areas. The book may also be used as a supplementary text for graduate courses on control of distributed-parameter systems and on flow control. Nota de contenido: Thermal-Fluid Convection Loop: Boundary Stabilization -- Thermal-Fluid Convection Loop: Boundary Estimation and Output-Feedback Stabilization -- 2D Navier–Stokes Channel Flow: Boundary Stabilization -- 2D Navier–Stokes Channel Flow: Boundary Estimation -- 3D Magnetohydrodynamic Channel Flow: Boundary Stabilization -- 3D Magnetohydrodynamic Channel Flow: Boundary Estimation -- 2D Navier–Stokes Channel Flow: Stable Flow Transfer -- Open Problems En línea: http://dx.doi.org/10.1007/978-0-8176-4699-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34278 Control of Turbulent and Magnetohydrodynamic Channel Flows : Boundary Stabilization and State Estimation [documento electrónico] / Rafael Vazquez ; SpringerLink (Online service) ; Miroslav Krstic . - Boston, MA : Birkhäuser Boston, 2008 . - X, 212 p : online resource. - (Systems&Control: Foundations&Applications) .
ISBN : 978-0-8176-4699-8
Idioma : Inglés (eng)
Palabras clave: Physics Partial differential equations System theory Continuum physics Thermodynamics Heat engineering transfer Mass Fluid mechanics Mechanical Classical Systems Theory, Control Engineering Dynamics Differential Equations Thermodynamics, and Transfer Clasificación: 51 Matemáticas Resumen: This monograph presents new constructive design methods for boundary stabilization and boundary estimation for several classes of benchmark problems in flow control, with potential applications to turbulence control, weather forecasting, and plasma control. The basis of the approach used in the work is the recently developed continuous backstepping method for parabolic partial differential equations, expanding the applicability of boundary controllers for flow systems from low Reynolds numbers to high Reynolds number conditions. Efforts in flow control over the last few years have led to a wide range of developments in many different directions, but most implementable developments thus far have been obtained using discretized versions of the plant models and finite-dimensional control techniques. In contrast, the design methods examined in this book are based on the “continuum” version of the backstepping approach, applied to the PDE model of the flow. The postponement of spatial discretization until the implementation stage offers a range of numerical and analytical advantages. Specific topics and features: * Introduction of control and state estimation designs for flows that include thermal convection and electric conductivity, namely, flows where instability may be driven by thermal gradients and external magnetic fields. * Application of a special "backstepping" approach where the boundary control design is combined with a particular Volterra transformation of the flow variables, which yields not only the stabilization of the flow, but also the explicit solvability of the closed-loop system. * Presentation of a result unprecedented in fluid dynamics and in the analysis of Navier–Stokes equations: closed-form expressions for the solutions of linearized Navier–Stokes equations under feedback. * Extension of the backstepping approach to eliminate one of the well-recognized root causes of transition to turbulence: the decoupling of the Orr–Sommerfeld and Squire systems. Control of Turbulent and Magnetohydrodynamic Channel Flows is an excellent reference for a broad, interdisciplinary engineering and mathematics audience: control theorists, fluid mechanicists, mechanical engineers, aerospace engineers, chemical engineers, electrical engineers, applied mathematicians, as well as research and graduate students in the above areas. The book may also be used as a supplementary text for graduate courses on control of distributed-parameter systems and on flow control. Nota de contenido: Thermal-Fluid Convection Loop: Boundary Stabilization -- Thermal-Fluid Convection Loop: Boundary Estimation and Output-Feedback Stabilization -- 2D Navier–Stokes Channel Flow: Boundary Stabilization -- 2D Navier–Stokes Channel Flow: Boundary Estimation -- 3D Magnetohydrodynamic Channel Flow: Boundary Stabilization -- 3D Magnetohydrodynamic Channel Flow: Boundary Estimation -- 2D Navier–Stokes Channel Flow: Stable Flow Transfer -- Open Problems En línea: http://dx.doi.org/10.1007/978-0-8176-4699-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34278 Ejemplares
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Título : Delay Compensation for Nonlinear, Adaptive, and PDE Systems Tipo de documento: documento electrónico Autores: Miroslav Krstic ; SpringerLink (Online service) Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2009 Colección: Systems & Control: Foundations & Applications Número de páginas: XIV, 466 p. 52 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4877-0 Idioma : Inglés (eng) Palabras clave: Mathematics Differential equations Partial differential Applied mathematics Engineering System theory Mechanical engineering Control Applications of Systems Theory, Equations Ordinary Clasificación: 51 Matemáticas Resumen: Some of the most common dynamic phenomena that arise in engineering practice—actuator and sensor delays—fall outside the scope of standard finite-dimensional system theory. The first attempt at infinite-dimensional feedback design in the field of control systems—the Smith predictor—has remained limited to linear finite-dimensional plants over the last five decades. Shedding light on new opportunities in predictor feedback, this book significantly broadens the set of techniques available to a mathematician or engineer working on delay systems. The book is a collection of tools and techniques that make predictor feedback ideas applicable to nonlinear systems, systems modeled by PDEs, systems with highly uncertain or completely unknown input/output delays, and systems whose actuator or sensor dynamics are modeled by more general hyperbolic or parabolic PDEs, rather than by pure delay. Specific features and topics include: * A construction of explicit Lyapunov functionals, which can be used in control design or stability analysis, leading to a resolution of several long-standing problems in predictor feedback. * A detailed treatment of individual classes of problems—nonlinear ODEs, parabolic PDEs, first-order hyperbolic PDEs, second-order hyperbolic PDEs, known time-varying delays, unknown constant delays—will help the reader master the techniques presented. * Numerous examples ease a student new to delay systems into the topic. * Minimal prerequisites: the basics of function spaces and Lyapunov theory for ODEs. * The basics of Poincaré and Agmon inequalities, Lyapunov and input-to-state stability, parameter projection for adaptive control, and Bessel functions are summarized in appendices for the reader’s convenience. Delay Compensation for Nonlinear, Adaptive, and PDE Systems is an excellent reference for graduate students, researchers, and practitioners in mathematics, systems control, as well as chemical, mechanical, electrical, computer, aerospace, and civil/structural engineering. Parts of the book may be used in graduate courses on general distributed parameter systems, linear delay systems, PDEs, nonlinear control, state estimator and observers, adaptive control, robust control, or linear time-varying systems Nota de contenido: Linear Delay-ODE Cascades -- Basic Predictor Feedback -- Predictor Observers -- Inverse Optimal Redesign -- Robustness to Delay Mismatch -- Time-Varying Delay -- Adaptive Control -- Delay-Adaptive Full-State Predictor Feedback -- Delay-Adaptive Predictor with Estimation of Actuator State -- Trajectory Tracking Under Unknown Delay and ODE Parameters -- Nonlinear Systems -- Nonlinear Predictor Feedback -- Forward-Complete Systems -- Strict-Feedforward Systems -- Linearizable Strict-Feedforward Systems -- PDE-ODE Cascades -- ODEs with General Transport-Like Actuator Dynamics -- ODEs with Heat PDE Actuator Dynamics -- ODEs with Wave PDE Actuator Dynamics -- Observers for ODEs Involving PDE Sensor and Actuator Dynamics -- Delay-PDE and PDE-PDE Cascades -- Unstable Reaction-Diffusion PDE with Input Delay -- Antistable Wave PDE with Input Delay -- Other PDE-PDE Cascades En línea: http://dx.doi.org/10.1007/978-0-8176-4877-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33950 Delay Compensation for Nonlinear, Adaptive, and PDE Systems [documento electrónico] / Miroslav Krstic ; SpringerLink (Online service) . - Boston : Birkhäuser Boston, 2009 . - XIV, 466 p. 52 illus : online resource. - (Systems & Control: Foundations & Applications) .
ISBN : 978-0-8176-4877-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Differential equations Partial differential Applied mathematics Engineering System theory Mechanical engineering Control Applications of Systems Theory, Equations Ordinary Clasificación: 51 Matemáticas Resumen: Some of the most common dynamic phenomena that arise in engineering practice—actuator and sensor delays—fall outside the scope of standard finite-dimensional system theory. The first attempt at infinite-dimensional feedback design in the field of control systems—the Smith predictor—has remained limited to linear finite-dimensional plants over the last five decades. Shedding light on new opportunities in predictor feedback, this book significantly broadens the set of techniques available to a mathematician or engineer working on delay systems. The book is a collection of tools and techniques that make predictor feedback ideas applicable to nonlinear systems, systems modeled by PDEs, systems with highly uncertain or completely unknown input/output delays, and systems whose actuator or sensor dynamics are modeled by more general hyperbolic or parabolic PDEs, rather than by pure delay. Specific features and topics include: * A construction of explicit Lyapunov functionals, which can be used in control design or stability analysis, leading to a resolution of several long-standing problems in predictor feedback. * A detailed treatment of individual classes of problems—nonlinear ODEs, parabolic PDEs, first-order hyperbolic PDEs, second-order hyperbolic PDEs, known time-varying delays, unknown constant delays—will help the reader master the techniques presented. * Numerous examples ease a student new to delay systems into the topic. * Minimal prerequisites: the basics of function spaces and Lyapunov theory for ODEs. * The basics of Poincaré and Agmon inequalities, Lyapunov and input-to-state stability, parameter projection for adaptive control, and Bessel functions are summarized in appendices for the reader’s convenience. Delay Compensation for Nonlinear, Adaptive, and PDE Systems is an excellent reference for graduate students, researchers, and practitioners in mathematics, systems control, as well as chemical, mechanical, electrical, computer, aerospace, and civil/structural engineering. Parts of the book may be used in graduate courses on general distributed parameter systems, linear delay systems, PDEs, nonlinear control, state estimator and observers, adaptive control, robust control, or linear time-varying systems Nota de contenido: Linear Delay-ODE Cascades -- Basic Predictor Feedback -- Predictor Observers -- Inverse Optimal Redesign -- Robustness to Delay Mismatch -- Time-Varying Delay -- Adaptive Control -- Delay-Adaptive Full-State Predictor Feedback -- Delay-Adaptive Predictor with Estimation of Actuator State -- Trajectory Tracking Under Unknown Delay and ODE Parameters -- Nonlinear Systems -- Nonlinear Predictor Feedback -- Forward-Complete Systems -- Strict-Feedforward Systems -- Linearizable Strict-Feedforward Systems -- PDE-ODE Cascades -- ODEs with General Transport-Like Actuator Dynamics -- ODEs with Heat PDE Actuator Dynamics -- ODEs with Wave PDE Actuator Dynamics -- Observers for ODEs Involving PDE Sensor and Actuator Dynamics -- Delay-PDE and PDE-PDE Cascades -- Unstable Reaction-Diffusion PDE with Input Delay -- Antistable Wave PDE with Input Delay -- Other PDE-PDE Cascades En línea: http://dx.doi.org/10.1007/978-0-8176-4877-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33950 Ejemplares
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Título : Integral Methods in Science and Engineering, Volume 1 : Analytic Methods Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Christian Constanda ; María Eugenia Pérez Martínez Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2010 Número de páginas: XIV, 336 p. 8 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4899-2 Idioma : Inglés (eng) Palabras clave: Mathematics Integral equations Differential Partial differential Physics Applied mathematics Engineering Mechanical engineering Equations Appl.Mathematics/Computational Methods of Ordinary Mathematical in Clasificación: 51 Matemáticas Resumen: Mathematical models—including those based on ordinary, partial differential, integral, and integro-differential equations—are indispensable tools for studying the physical world and its natural manifestations. Because of the usefulness of these models, it is critical for practitioners to be able to find their solutions by analytic and/or computational means. This two-volume set is a collection of up-to-date research results that illustrate how a very important class of mathematical tools can be manipulated and applied to the study of real-life phenomena and processes occurring in specific problems of science and engineering. The two volumes contain 65 chapters, which are based on talks presented by reputable researchers in the field at the Tenth International Conference on Integral Methods in Science and Engineering. The chapters address a wide variety of methodologies, from the construction of boundary integral methods to the application of integration-based analytic and computational techniques in almost all aspects of today's technological world. Among the topics covered are deformable structures, traffic flow, acoustic wave propagation, spectral procedures, eutrophication of bodies of water, pollutant dispersion, spinal cord movement, submarine avalanches, and many others with an interdisciplinary flavor. Integral Methods in Science and Engineering, Volumes 1 and 2 are useful references for a broad audience of professionals, including pure and applied mathematicians, physicists, biologists, and mechanical, civil, and electrical engineers, as well as graduate students, who use integration as a fundamental technique in their research. Volume 1: ISBN 978-0-8176-4898-5 Volume 2: ISBN 978-0-8176-4896-1 Nota de contenido: Homogenization of the Integro-Differential Burgers Equation -- Geometric Versus Spectral Convergence for the Neumann Laplacian under Exterior Perturbations of the Domain -- Dyadic Elastic Scattering by Point Sources: Direct and Inverse Problems -- Two-Operator Boundary#x2013;Domain Integral Equations for a Variable-Coefficient BVP -- Solution of a Class of Nonlinear Matrix Differential Equations with Application to General Relativity -- The Bottom of the Spectrum in a Double-Contrast Periodic Model -- Fredholm Characterization of Wiener#x2013;Hopf#x2013;Hankel Integral Operators with Piecewise Almost Periodic Symbols -- Fractal Relaxed Problems in Elasticity -- Hyers#x2013;Ulam and Hyers#x2013;Ulam#x2013;Rassias Stability of Volterra Integral Equations with Delay -- Fredholm Index Formula for a Class of Matrix Wiener#x2013;Hopf Plus and Minus Hankel Operators with Symmetry -- Invertibility of Singular Integral Operators with Flip Through Explicit Operator Relations -- Contact Problems in Bending of Thermoelastic Plates -- On Burnett Coefficients in Periodic Media with Two Phases -- On Regular and Singular Perturbations of the Eigenelements of the Laplacian -- High-Frequency Vibrations of Systems with Concentrated Masses Along Planes -- On J. Ball#x2019;s Fundamental Existence Theory and Regularity of Weak Equilibria in Nonlinear Radial Hyperelasticity -- The Conformal Mapping Method for the Helmholtz Equation -- Integral Equation Method in a Problem on Acoustic Scattering by a Thin Cylindrical Screen with Dirichlet and Impedance Boundary Conditions on Opposite Sides of the Screen -- Existence of a Classical Solution and Nonexistence of a Weak Solution to the Dirichlet Problem for the Laplace Equation in a Plane Domain with Cracks -- On Different Quasimodes for the Homogenization of Steklov-Type Eigenvalue Problems -- Asymptotic Analysis of Spectral Problems in Thick Multi-Level Junctions -- Integral Approach to Sensitive Singular Perturbations -- Regularity of the Green Potential for the Laplacian with Robin Boundary Condition -- On the Dirichlet and Regularity Problems for the Bi-Laplacian in Lipschitz Domains -- Propagation of Waves in Networks of Thin Fibers -- Homogenization of a Convection#x2013;Diffusion Equation in a Thin Rod Structure -- Existence of Extremal Solutions of Singular Functional Cauchy and Cauchy#x2013;Nicoletti Problems -- Asymptotic Behavior of the Solution of an Elliptic Pseudo-Differential Equation Near a Cone -- Averaging Normal Forms for Partial Differential Equations with Applications to Perturbed Wave Equations -- Internal Boundary Variations and Discontinuous Transversality Conditions in Mechanics -- Regularization of Divergent Integrals in Boundary Integral Equations for Elastostatics En línea: http://dx.doi.org/10.1007/978-0-8176-4899-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33551 Integral Methods in Science and Engineering, Volume 1 : Analytic Methods [documento electrónico] / SpringerLink (Online service) ; Christian Constanda ; María Eugenia Pérez Martínez . - Boston : Birkhäuser Boston, 2010 . - XIV, 336 p. 8 illus : online resource.
ISBN : 978-0-8176-4899-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Integral equations Differential Partial differential Physics Applied mathematics Engineering Mechanical engineering Equations Appl.Mathematics/Computational Methods of Ordinary Mathematical in Clasificación: 51 Matemáticas Resumen: Mathematical models—including those based on ordinary, partial differential, integral, and integro-differential equations—are indispensable tools for studying the physical world and its natural manifestations. Because of the usefulness of these models, it is critical for practitioners to be able to find their solutions by analytic and/or computational means. This two-volume set is a collection of up-to-date research results that illustrate how a very important class of mathematical tools can be manipulated and applied to the study of real-life phenomena and processes occurring in specific problems of science and engineering. The two volumes contain 65 chapters, which are based on talks presented by reputable researchers in the field at the Tenth International Conference on Integral Methods in Science and Engineering. The chapters address a wide variety of methodologies, from the construction of boundary integral methods to the application of integration-based analytic and computational techniques in almost all aspects of today's technological world. Among the topics covered are deformable structures, traffic flow, acoustic wave propagation, spectral procedures, eutrophication of bodies of water, pollutant dispersion, spinal cord movement, submarine avalanches, and many others with an interdisciplinary flavor. Integral Methods in Science and Engineering, Volumes 1 and 2 are useful references for a broad audience of professionals, including pure and applied mathematicians, physicists, biologists, and mechanical, civil, and electrical engineers, as well as graduate students, who use integration as a fundamental technique in their research. Volume 1: ISBN 978-0-8176-4898-5 Volume 2: ISBN 978-0-8176-4896-1 Nota de contenido: Homogenization of the Integro-Differential Burgers Equation -- Geometric Versus Spectral Convergence for the Neumann Laplacian under Exterior Perturbations of the Domain -- Dyadic Elastic Scattering by Point Sources: Direct and Inverse Problems -- Two-Operator Boundary#x2013;Domain Integral Equations for a Variable-Coefficient BVP -- Solution of a Class of Nonlinear Matrix Differential Equations with Application to General Relativity -- The Bottom of the Spectrum in a Double-Contrast Periodic Model -- Fredholm Characterization of Wiener#x2013;Hopf#x2013;Hankel Integral Operators with Piecewise Almost Periodic Symbols -- Fractal Relaxed Problems in Elasticity -- Hyers#x2013;Ulam and Hyers#x2013;Ulam#x2013;Rassias Stability of Volterra Integral Equations with Delay -- Fredholm Index Formula for a Class of Matrix Wiener#x2013;Hopf Plus and Minus Hankel Operators with Symmetry -- Invertibility of Singular Integral Operators with Flip Through Explicit Operator Relations -- Contact Problems in Bending of Thermoelastic Plates -- On Burnett Coefficients in Periodic Media with Two Phases -- On Regular and Singular Perturbations of the Eigenelements of the Laplacian -- High-Frequency Vibrations of Systems with Concentrated Masses Along Planes -- On J. Ball#x2019;s Fundamental Existence Theory and Regularity of Weak Equilibria in Nonlinear Radial Hyperelasticity -- The Conformal Mapping Method for the Helmholtz Equation -- Integral Equation Method in a Problem on Acoustic Scattering by a Thin Cylindrical Screen with Dirichlet and Impedance Boundary Conditions on Opposite Sides of the Screen -- Existence of a Classical Solution and Nonexistence of a Weak Solution to the Dirichlet Problem for the Laplace Equation in a Plane Domain with Cracks -- On Different Quasimodes for the Homogenization of Steklov-Type Eigenvalue Problems -- Asymptotic Analysis of Spectral Problems in Thick Multi-Level Junctions -- Integral Approach to Sensitive Singular Perturbations -- Regularity of the Green Potential for the Laplacian with Robin Boundary Condition -- On the Dirichlet and Regularity Problems for the Bi-Laplacian in Lipschitz Domains -- Propagation of Waves in Networks of Thin Fibers -- Homogenization of a Convection#x2013;Diffusion Equation in a Thin Rod Structure -- Existence of Extremal Solutions of Singular Functional Cauchy and Cauchy#x2013;Nicoletti Problems -- Asymptotic Behavior of the Solution of an Elliptic Pseudo-Differential Equation Near a Cone -- Averaging Normal Forms for Partial Differential Equations with Applications to Perturbed Wave Equations -- Internal Boundary Variations and Discontinuous Transversality Conditions in Mechanics -- Regularization of Divergent Integrals in Boundary Integral Equations for Elastostatics En línea: http://dx.doi.org/10.1007/978-0-8176-4899-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33551 Ejemplares
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Título : Integral Methods in Science and Engineering, Volume 2 : Computational Aspects Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Christian Constanda ; María Eugenia Pérez Martínez Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2010 Número de páginas: XX, 372 p. 95 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4897-8 Idioma : Inglés (eng) Palabras clave: Mathematics Integral equations Differential Partial differential Physics Applied mathematics Engineering Mechanical engineering Equations Appl.Mathematics/Computational Methods of Ordinary Mathematical in Clasificación: 51 Matemáticas Resumen: Mathematical models—including those based on ordinary, partial differential, integral, and integro-differential equations—are indispensable tools for studying the physical world and its natural manifestations. Because of the usefulness of these models, it is critical for practitioners to be able to find their solutions by analytic and/or computational means. This two-volume set is a collection of up-to-date research results that illustrate how a very important class of mathematical tools can be manipulated and applied to the study of real-life phenomena and processes occurring in specific problems of science and engineering. The two volumes contain 65 chapters, which are based on talks presented by reputable researchers in the field at the Tenth International Conference on Integral Methods in Science and Engineering. The chapters address a wide variety of methodologies, from the construction of boundary integral methods to the application of integration-based analytic and computational techniques in almost all aspects of today's technological world. Among the topics covered are deformable structures, traffic flow, acoustic wave propagation, spectral procedures, eutrophication of bodies of water, pollutant dispersion, spinal cord movement, submarine avalanches, and many others with an interdisciplinary flavor. Integral Methods in Science and Engineering, Volumes 1 and 2 are useful references for a broad audience of professionals, including pure and applied mathematicians, physicists, biologists, and mechanical, civil, and electrical engineers, as well as graduate students, who use integration as a fundamental technique in their research. Volume 1: ISBN 978-0-8176-4898-5 Volume 2: ISBN 978-0-8176-4896-1 Nota de contenido: Error Bounds for Galerkin Approximations of Weakly Singular Integral Operators -- Construction of Solutions of the Hamburger#x2013;L#x00F6;wner Mixed Interpolation Problem for Nevanlinna Class Functions -- A Three-Dimensional Eutrophication Model: Analysis and Control -- An Analytical Solution for the Transient Two-Dimensional Advection#x2013;Diffusion Equation with Non-Fickian Closure in Cartesian Geometry by the Generalized Integral Transform Technique -- A Numerical Solution of the Dispersion Equation of Guided Wave Propagation in -Layered Media -- Discretization of Coefficient Control Problems with a Nonlinear Cost in the Gradient -- Optimal Control and Vanishing Viscosity for the Burgers Equation -- A High-Order Finite Volume Method for Nonconservative Problems and Its Application to Model Submarine Avalanches -- Convolution Quadrature Galerkin Method for the Exterior Neumann Problem of the Wave Equation -- Solution Estimates in Classical Bending of Plates -- Modified Newton#x2019;s Methods for Systems of Nonlinear Equations -- Classification of Some Penalty Methods -- A Closed-Form Formulation for Pollutant Dispersion in the Atmosphere -- High-Order Methods for Weakly Singular Volterra Integro-Differential Equations -- Numerical Solution of a Class of Integral Equations Arising in a Biological Laboratory Procedure -- A Mixed Two-Grid Method Applied to a Fredholm Equation of the Second Kind -- Homogenized Models of Radiation Transfer in Multiphase Media -- A Porous Finite Element Model of the Motion of the Spinal Cord -- Boundary Hybrid Galerkin Method for Elliptic and Wave Propagation Problems in #x211D; over Planar Structures -- Boundary Integral Solution of the Time-Fractional Diffusion Equation -- Boundary Element Collocation Method for Time-Fractional Diffusion Equations -- Wavelet-Based H#x00F6;lder Regularity Analysis in Condition Monitoring -- Integral Equation Technique for Finding the Current Distribution of Strip Antennas in a Gyrotropic Medium -- A Two-Grid Method for a Second Kind Integral Equation with Green#x2019;s Kernel -- A Brief Overview of Plate Finite Element Methods -- Influence of a Weak Aerodynamics/Structure Interaction on the Aerodynamical Global Optimization of Shape -- Multiscale Investigation of Solutions of the Wave Equation -- The Laplace Transform Method for the Albedo Boundary Conditions in Neutron Diffusion Eigenvalue Problems -- Solution of the Fokker#x2013;Planck Pencil Beam Equation for Electrons by the Laplace Transform Technique -- Nonlinear Functional Parabolic Equations -- Grid Computing for Multi-Spectral Tomographic Reconstruction of Chlorophyll Concentration in Ocean Water -- Long-Time Solution of the Wave Equation Using Nonlinear Dissipative Structures -- High-Performance Computing for Spectral Approximations -- An Analytical Solution for the General Perturbed Diffusion Equation by an Integral Transform Technique En línea: http://dx.doi.org/10.1007/978-0-8176-4897-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33550 Integral Methods in Science and Engineering, Volume 2 : Computational Aspects [documento electrónico] / SpringerLink (Online service) ; Christian Constanda ; María Eugenia Pérez Martínez . - Boston : Birkhäuser Boston, 2010 . - XX, 372 p. 95 illus : online resource.
ISBN : 978-0-8176-4897-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Integral equations Differential Partial differential Physics Applied mathematics Engineering Mechanical engineering Equations Appl.Mathematics/Computational Methods of Ordinary Mathematical in Clasificación: 51 Matemáticas Resumen: Mathematical models—including those based on ordinary, partial differential, integral, and integro-differential equations—are indispensable tools for studying the physical world and its natural manifestations. Because of the usefulness of these models, it is critical for practitioners to be able to find their solutions by analytic and/or computational means. This two-volume set is a collection of up-to-date research results that illustrate how a very important class of mathematical tools can be manipulated and applied to the study of real-life phenomena and processes occurring in specific problems of science and engineering. The two volumes contain 65 chapters, which are based on talks presented by reputable researchers in the field at the Tenth International Conference on Integral Methods in Science and Engineering. The chapters address a wide variety of methodologies, from the construction of boundary integral methods to the application of integration-based analytic and computational techniques in almost all aspects of today's technological world. Among the topics covered are deformable structures, traffic flow, acoustic wave propagation, spectral procedures, eutrophication of bodies of water, pollutant dispersion, spinal cord movement, submarine avalanches, and many others with an interdisciplinary flavor. Integral Methods in Science and Engineering, Volumes 1 and 2 are useful references for a broad audience of professionals, including pure and applied mathematicians, physicists, biologists, and mechanical, civil, and electrical engineers, as well as graduate students, who use integration as a fundamental technique in their research. Volume 1: ISBN 978-0-8176-4898-5 Volume 2: ISBN 978-0-8176-4896-1 Nota de contenido: Error Bounds for Galerkin Approximations of Weakly Singular Integral Operators -- Construction of Solutions of the Hamburger#x2013;L#x00F6;wner Mixed Interpolation Problem for Nevanlinna Class Functions -- A Three-Dimensional Eutrophication Model: Analysis and Control -- An Analytical Solution for the Transient Two-Dimensional Advection#x2013;Diffusion Equation with Non-Fickian Closure in Cartesian Geometry by the Generalized Integral Transform Technique -- A Numerical Solution of the Dispersion Equation of Guided Wave Propagation in -Layered Media -- Discretization of Coefficient Control Problems with a Nonlinear Cost in the Gradient -- Optimal Control and Vanishing Viscosity for the Burgers Equation -- A High-Order Finite Volume Method for Nonconservative Problems and Its Application to Model Submarine Avalanches -- Convolution Quadrature Galerkin Method for the Exterior Neumann Problem of the Wave Equation -- Solution Estimates in Classical Bending of Plates -- Modified Newton#x2019;s Methods for Systems of Nonlinear Equations -- Classification of Some Penalty Methods -- A Closed-Form Formulation for Pollutant Dispersion in the Atmosphere -- High-Order Methods for Weakly Singular Volterra Integro-Differential Equations -- Numerical Solution of a Class of Integral Equations Arising in a Biological Laboratory Procedure -- A Mixed Two-Grid Method Applied to a Fredholm Equation of the Second Kind -- Homogenized Models of Radiation Transfer in Multiphase Media -- A Porous Finite Element Model of the Motion of the Spinal Cord -- Boundary Hybrid Galerkin Method for Elliptic and Wave Propagation Problems in #x211D; over Planar Structures -- Boundary Integral Solution of the Time-Fractional Diffusion Equation -- Boundary Element Collocation Method for Time-Fractional Diffusion Equations -- Wavelet-Based H#x00F6;lder Regularity Analysis in Condition Monitoring -- Integral Equation Technique for Finding the Current Distribution of Strip Antennas in a Gyrotropic Medium -- A Two-Grid Method for a Second Kind Integral Equation with Green#x2019;s Kernel -- A Brief Overview of Plate Finite Element Methods -- Influence of a Weak Aerodynamics/Structure Interaction on the Aerodynamical Global Optimization of Shape -- Multiscale Investigation of Solutions of the Wave Equation -- The Laplace Transform Method for the Albedo Boundary Conditions in Neutron Diffusion Eigenvalue Problems -- Solution of the Fokker#x2013;Planck Pencil Beam Equation for Electrons by the Laplace Transform Technique -- Nonlinear Functional Parabolic Equations -- Grid Computing for Multi-Spectral Tomographic Reconstruction of Chlorophyll Concentration in Ocean Water -- Long-Time Solution of the Wave Equation Using Nonlinear Dissipative Structures -- High-Performance Computing for Spectral Approximations -- An Analytical Solution for the General Perturbed Diffusion Equation by an Integral Transform Technique En línea: http://dx.doi.org/10.1007/978-0-8176-4897-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33550 Ejemplares
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