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Autor Martin Stynes |
Documentos disponibles escritos por este autor (3)



BAIL 2008 - Boundary and Interior Layers / SpringerLink (Online service) ; Alan Hegarty ; Natalia Kopteva ; Eugene O'Riordan ; Martin Stynes (2009)
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Título : BAIL 2008 - Boundary and Interior Layers : Proceedings of the International Conference on Boundary and Interior Layers - Computational and Asymptotic Methods, Limerick, July 2008 Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Alan Hegarty ; Natalia Kopteva ; Eugene O'Riordan ; Martin Stynes Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2009 Colección: Lecture Notes in Computational Science and Engineering, ISSN 1439-7358 num. 69 Número de páginas: XVI, 312 p. 65 illus., 15 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-642-00605-0 Idioma : Inglés (eng) Palabras clave: Mathematics Computer mathematics Numerical analysis Mathematical models Applied Engineering Modeling and Industrial Computational Analysis Appl.Mathematics/Computational Methods of Clasificación: 51 Matemáticas Resumen: These Proceedings contain a selection of the lectures given at the conference BAIL 2008: Boundary and Interior Layers – Computational and Asymptotic Methods, which was held from 28th July to 1st August 2008 at the University of Limerick, Ireland. The ?rst three BAIL conferences (1980, 1982, 1984) were organised by Professor John Miller in Trinity College Dublin, Ireland. The next seven were held in Novosibirsk (1986), Shanghai (1988), Colorado (1992), Beijing (1994), Perth (2002),Toulouse(2004),and Got ¨ tingen(2006).With BAIL 2008the series returned to Ireland. BAIL 2010 is planned for Zaragoza. The BAIL conferences strive to bring together mathematicians and engineers whose research involves layer phenomena,as these two groups often pursue largely independent paths. BAIL 2008, at which both communities were well represented, succeeded in this regard. The lectures given were evenly divided between app- cations and theory, exposing all conference participants to a broad spectrum of research into problems exhibiting solutions with layers. The Proceedings give a good overview of current research into the theory, app- cation and solution (by both numerical and asymptotic methods) of problems that involve boundaryand interior layers. In addition to invited and contributed lectures, the conference included four mini-symposia devoted to stabilized ?nite element methods, asymptotic scaling of wall-bounded ?ows, systems of singularly p- turbed differential equations, and problems with industrial applications (supported by MACSI, the Mathematics Applications Consortium for Science and Industry). These titles exemplify the mix of interests among the participants Nota de contenido: Invited paper -- High-Reynolds-Number Asymptotics of Turbulent Boundary Layers -- A Deterministic Multiscale Approach for Simulating Dilute Polymeric Fluids -- Temperature Factor Effect on Separated Flow Features in Supersonic Gas Flow -- Recent Results on Local Projection Stabilization for Convection-Diffusion and Flow Problems -- Contributed papers -- Numerical Simulation of the Towing Tank Problem Using High Order Schemes -- Nonlinear Singular Kelvin Modes in a Columnar Vortex -- High Order Schemes for Reaction-Diffusion Singularly Perturbed Systems -- A Patched Mesh Method for Singularly Perturbed Eeaction-Diffusion Equations -- Singularly Perturbed Reaction-Diffusion Problem with a Boundary Turning Point -- Examination of the Performance of Robust Numerical Methods for Singularly Perturbed Quasilinear Problems with Interior Layers -- Glycolysis as a Source of "External osmoles":The Vasa Recta Transient Model -- A System of Singularly Perturbed Semilinear Equations -- On Finite Element Methods for 3D Time-Dependent Convection-Diffusion-Reaction Equations with Small Diffusion -- On the Application of Local Projection Methods to Convection#x2013;Diffusion#x2013;Reaction Problems -- A Locally Adapting Parameter Design for the Divergence Stabilization of FEM Discretizations of the Navier-Stokes Equations -- Distributed and Boundary Control of Singularly Perturbed Advection-Diffusion-Reaction Problems -- Antisymmetric Aspects of a Perturbed Channel Flow -- Turbulence Receptivity of Longitudinal Vortex-Dominated Flows -- A Thermally Induced Singularity in a Wake -- A Schwarz Technique for a System of Reaction Diffusion Equations with Differing Parameters -- On Numerical Simulation of an Aeroelastic Problem Nearby the Flutter Boundary -- A Parameter-Uniform Finite Difference Method for a Singularly Perturbed Initial Value Problem: a Special Case -- Boundary Shock Problems and Singularly Perturbed Riccati Equations -- Electrochemical Pickling -- Energy Norm A-Posteriori Error Estimates for a Discontinuous Galerkin Scheme Applied to Elliptic Problems with an Interface En línea: http://dx.doi.org/10.1007/978-3-642-00605-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34062 BAIL 2008 - Boundary and Interior Layers : Proceedings of the International Conference on Boundary and Interior Layers - Computational and Asymptotic Methods, Limerick, July 2008 [documento electrónico] / SpringerLink (Online service) ; Alan Hegarty ; Natalia Kopteva ; Eugene O'Riordan ; Martin Stynes . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2009 . - XVI, 312 p. 65 illus., 15 illus. in color : online resource. - (Lecture Notes in Computational Science and Engineering, ISSN 1439-7358; 69) .
ISBN : 978-3-642-00605-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer mathematics Numerical analysis Mathematical models Applied Engineering Modeling and Industrial Computational Analysis Appl.Mathematics/Computational Methods of Clasificación: 51 Matemáticas Resumen: These Proceedings contain a selection of the lectures given at the conference BAIL 2008: Boundary and Interior Layers – Computational and Asymptotic Methods, which was held from 28th July to 1st August 2008 at the University of Limerick, Ireland. The ?rst three BAIL conferences (1980, 1982, 1984) were organised by Professor John Miller in Trinity College Dublin, Ireland. The next seven were held in Novosibirsk (1986), Shanghai (1988), Colorado (1992), Beijing (1994), Perth (2002),Toulouse(2004),and Got ¨ tingen(2006).With BAIL 2008the series returned to Ireland. BAIL 2010 is planned for Zaragoza. The BAIL conferences strive to bring together mathematicians and engineers whose research involves layer phenomena,as these two groups often pursue largely independent paths. BAIL 2008, at which both communities were well represented, succeeded in this regard. The lectures given were evenly divided between app- cations and theory, exposing all conference participants to a broad spectrum of research into problems exhibiting solutions with layers. The Proceedings give a good overview of current research into the theory, app- cation and solution (by both numerical and asymptotic methods) of problems that involve boundaryand interior layers. In addition to invited and contributed lectures, the conference included four mini-symposia devoted to stabilized ?nite element methods, asymptotic scaling of wall-bounded ?ows, systems of singularly p- turbed differential equations, and problems with industrial applications (supported by MACSI, the Mathematics Applications Consortium for Science and Industry). These titles exemplify the mix of interests among the participants Nota de contenido: Invited paper -- High-Reynolds-Number Asymptotics of Turbulent Boundary Layers -- A Deterministic Multiscale Approach for Simulating Dilute Polymeric Fluids -- Temperature Factor Effect on Separated Flow Features in Supersonic Gas Flow -- Recent Results on Local Projection Stabilization for Convection-Diffusion and Flow Problems -- Contributed papers -- Numerical Simulation of the Towing Tank Problem Using High Order Schemes -- Nonlinear Singular Kelvin Modes in a Columnar Vortex -- High Order Schemes for Reaction-Diffusion Singularly Perturbed Systems -- A Patched Mesh Method for Singularly Perturbed Eeaction-Diffusion Equations -- Singularly Perturbed Reaction-Diffusion Problem with a Boundary Turning Point -- Examination of the Performance of Robust Numerical Methods for Singularly Perturbed Quasilinear Problems with Interior Layers -- Glycolysis as a Source of "External osmoles":The Vasa Recta Transient Model -- A System of Singularly Perturbed Semilinear Equations -- On Finite Element Methods for 3D Time-Dependent Convection-Diffusion-Reaction Equations with Small Diffusion -- On the Application of Local Projection Methods to Convection#x2013;Diffusion#x2013;Reaction Problems -- A Locally Adapting Parameter Design for the Divergence Stabilization of FEM Discretizations of the Navier-Stokes Equations -- Distributed and Boundary Control of Singularly Perturbed Advection-Diffusion-Reaction Problems -- Antisymmetric Aspects of a Perturbed Channel Flow -- Turbulence Receptivity of Longitudinal Vortex-Dominated Flows -- A Thermally Induced Singularity in a Wake -- A Schwarz Technique for a System of Reaction Diffusion Equations with Differing Parameters -- On Numerical Simulation of an Aeroelastic Problem Nearby the Flutter Boundary -- A Parameter-Uniform Finite Difference Method for a Singularly Perturbed Initial Value Problem: a Special Case -- Boundary Shock Problems and Singularly Perturbed Riccati Equations -- Electrochemical Pickling -- Energy Norm A-Posteriori Error Estimates for a Discontinuous Galerkin Scheme Applied to Elliptic Problems with an Interface En línea: http://dx.doi.org/10.1007/978-3-642-00605-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34062 Ejemplares
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Título : Numerical Treatment of Partial Differential Equations : Translated and revised by Martin Stynes Tipo de documento: documento electrónico Autores: Christian Grossmann ; SpringerLink (Online service) ; Hans-Görg Roos ; Martin Stynes Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2007 Colección: Universitext, ISSN 0172-5939 Número de páginas: XII, 596 p. 86 illus Il.: online resource ISBN/ISSN/DL: 978-3-540-71584-9 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Partial differential equations Numerical Differential Equations Clasificación: 51 Matemáticas Resumen: Many well-known models in the natural sciences and engineering, and today even in economics, depend on partial di?erential equations. Thus the e?cient numerical solution of such equations plays an ever-increasing role in state-- the-art technology. This demand and the computational power available from current computer hardware have together stimulated the rapid development of numerical methods for partial di?erential equations—a development that encompasses convergence analyses and implementational aspects of software packages. In 1988 we started work on the ?rst German edition of our book, which appeared in 1992. Our aim was to give students a textbook that contained the basic concepts and ideas behind most numerical methods for partial di?er- tial equations. The success of this ?rst edition and the second edition in 1994 encouraged us, ten years later, to write an almost completely new version, taking into account comments from colleagues and students and drawing on the enormous progress made in the numerical analysis of partial di?erential equations in recent times. The present English version slightly improves the third German edition of 2005: we have corrected some minor errors and added additional material and references Nota de contenido: Partial Differential Equations: Basics and Explicit Representation of Solutions -- Finite Difference Methods -- Weak Solutions, Elliptic Problems and Sobolev Spaces -- The Finite Element Method -- Finite Element Methods for Unsteady Problems -- Singular Perturbations -- Numerical Methods for Variational Inequalities and Optimal Control -- Numerical Methods for Discretized Problems En línea: http://dx.doi.org/10.1007/978-3-540-71584-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34662 Numerical Treatment of Partial Differential Equations : Translated and revised by Martin Stynes [documento electrónico] / Christian Grossmann ; SpringerLink (Online service) ; Hans-Görg Roos ; Martin Stynes . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2007 . - XII, 596 p. 86 illus : online resource. - (Universitext, ISSN 0172-5939) .
ISBN : 978-3-540-71584-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Partial differential equations Numerical Differential Equations Clasificación: 51 Matemáticas Resumen: Many well-known models in the natural sciences and engineering, and today even in economics, depend on partial di?erential equations. Thus the e?cient numerical solution of such equations plays an ever-increasing role in state-- the-art technology. This demand and the computational power available from current computer hardware have together stimulated the rapid development of numerical methods for partial di?erential equations—a development that encompasses convergence analyses and implementational aspects of software packages. In 1988 we started work on the ?rst German edition of our book, which appeared in 1992. Our aim was to give students a textbook that contained the basic concepts and ideas behind most numerical methods for partial di?er- tial equations. The success of this ?rst edition and the second edition in 1994 encouraged us, ten years later, to write an almost completely new version, taking into account comments from colleagues and students and drawing on the enormous progress made in the numerical analysis of partial di?erential equations in recent times. The present English version slightly improves the third German edition of 2005: we have corrected some minor errors and added additional material and references Nota de contenido: Partial Differential Equations: Basics and Explicit Representation of Solutions -- Finite Difference Methods -- Weak Solutions, Elliptic Problems and Sobolev Spaces -- The Finite Element Method -- Finite Element Methods for Unsteady Problems -- Singular Perturbations -- Numerical Methods for Variational Inequalities and Optimal Control -- Numerical Methods for Discretized Problems En línea: http://dx.doi.org/10.1007/978-3-540-71584-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34662 Ejemplares
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Título : Robust Numerical Methods for Singularly Perturbed Differential Equations : Convection-Diffusion-Reaction and Flow Problems Tipo de documento: documento electrónico Autores: Hans-Görg Roos ; SpringerLink (Online service) ; Martin Stynes ; Lutz Tobiska Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2008 Colección: Springer Series in Computational Mathematics, ISSN 0179-3632 num. 24 Número de páginas: XIV, 604 p. 41 illus Il.: online resource ISBN/ISSN/DL: 978-3-540-34467-4 Idioma : Inglés (eng) Palabras clave: Mathematics Chemistry, Physical and theoretical Mathematical analysis Analysis (Mathematics) Numerical Biomathematics Statistics Applied mathematics Engineering Appl.Mathematics/Computational Methods of Computational Biology for Life Sciences, Medicine, Health Sciences Theoretical Chemistry Clasificación: 51 Matemáticas Resumen: This considerably extended and completely revised second edition incorporates many new developments in the thriving field of numerical methods for singularly perturbed differential equations. It provides a thorough foundation for the numerical analysis and solution of these problems, which model many physical phenomena whose solutions exhibit layers. The book focuses on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics. It offers a comprehensive overview of suitable numerical methods while emphasizing those with realistic error estimates. The book should be useful for scientists requiring effective numerical methods for singularly perturbed differential equations Nota de contenido: Ordinary Differential Equations -- The Analytical Behaviour of Solutions -- Numerical Methods for Second-Order Boundary Value Problems -- Parabolic Initial-Boundary Value Problems in One Space Dimension -- Analytical Behaviour of Solutions -- Finite Difference Methods -- Finite Element Methods -- Two Adaptive Methods -- Elliptic and Parabolic Problems in Several Space Dimensions -- Analytical Behaviour of Solutions -- Finite Difference Methods -- Finite Element Methods -- Time-Dependent Problems -- The Incompressible Navier-Stokes Equations -- Existence and Uniqueness Results -- Upwind Finite Element Method -- Higher-Order Methods of Streamline Diffusion Type -- Local Projection Stabilization for Equal-Order Interpolation -- Local Projection Method for Inf-Sup Stable Elements -- Mass Conservation for Coupled Flow-Transport Problems -- Adaptive Error Control En línea: http://dx.doi.org/10.1007/978-3-540-34467-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34311 Robust Numerical Methods for Singularly Perturbed Differential Equations : Convection-Diffusion-Reaction and Flow Problems [documento electrónico] / Hans-Görg Roos ; SpringerLink (Online service) ; Martin Stynes ; Lutz Tobiska . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2008 . - XIV, 604 p. 41 illus : online resource. - (Springer Series in Computational Mathematics, ISSN 0179-3632; 24) .
ISBN : 978-3-540-34467-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Chemistry, Physical and theoretical Mathematical analysis Analysis (Mathematics) Numerical Biomathematics Statistics Applied mathematics Engineering Appl.Mathematics/Computational Methods of Computational Biology for Life Sciences, Medicine, Health Sciences Theoretical Chemistry Clasificación: 51 Matemáticas Resumen: This considerably extended and completely revised second edition incorporates many new developments in the thriving field of numerical methods for singularly perturbed differential equations. It provides a thorough foundation for the numerical analysis and solution of these problems, which model many physical phenomena whose solutions exhibit layers. The book focuses on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics. It offers a comprehensive overview of suitable numerical methods while emphasizing those with realistic error estimates. The book should be useful for scientists requiring effective numerical methods for singularly perturbed differential equations Nota de contenido: Ordinary Differential Equations -- The Analytical Behaviour of Solutions -- Numerical Methods for Second-Order Boundary Value Problems -- Parabolic Initial-Boundary Value Problems in One Space Dimension -- Analytical Behaviour of Solutions -- Finite Difference Methods -- Finite Element Methods -- Two Adaptive Methods -- Elliptic and Parabolic Problems in Several Space Dimensions -- Analytical Behaviour of Solutions -- Finite Difference Methods -- Finite Element Methods -- Time-Dependent Problems -- The Incompressible Navier-Stokes Equations -- Existence and Uniqueness Results -- Upwind Finite Element Method -- Higher-Order Methods of Streamline Diffusion Type -- Local Projection Stabilization for Equal-Order Interpolation -- Local Projection Method for Inf-Sup Stable Elements -- Mass Conservation for Coupled Flow-Transport Problems -- Adaptive Error Control En línea: http://dx.doi.org/10.1007/978-3-540-34467-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34311 Ejemplares
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