Handbook Of Numerical Methods For Hyperbolic Problems

Author : Remi Abgrall,Chi-Wang Shu
Publisher : Elsevier
Page : 666 pages
File Size : 47,8 Mb
Release : 2016-11-17
Category : Mathematics
ISBN : 9780444637956

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Handbook of Numerical Methods for Hyperbolic Problems by Remi Abgrall,Chi-Wang Shu Pdf

Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and readily understand their relative advantages and limitations. Provides detailed, cutting-edge background explanations of existing algorithms and their analysis Ideal for readers working on the theoretical aspects of algorithm development and its numerical analysis Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or readers involved in applications Written by leading subject experts in each field who provide breadth and depth of content coverage

Author : Remi Abgrall,Chi-Wang Shu
Publisher : Elsevier
Page : 610 pages
File Size : 45,9 Mb
Release : 2017-01-16
Category : Mathematics
ISBN : 9780444639110

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Handbook of Numerical Methods for Hyperbolic Problems by Remi Abgrall,Chi-Wang Shu Pdf

Handbook on Numerical Methods for Hyperbolic Problems: Applied and Modern Issues details the large amount of literature in the design, analysis, and application of various numerical algorithms for solving hyperbolic equations that has been produced in the last several decades. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and become familiar with their relative advantages and limitations. Provides detailed, cutting-edge background explanations of existing algorithms and their analysis Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or those involved in applications Written by leading subject experts in each field, the volumes provide breadth and depth of content coverage

Author : Randall J. LeVeque
Publisher : Cambridge University Press
Page : 582 pages
File Size : 53,7 Mb
Release : 2002-08-26
Category : Mathematics
ISBN : 0521009243

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Finite Volume Methods for Hyperbolic Problems by Randall J. LeVeque Pdf

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Author : Randall J. LeVeque
Publisher : Cambridge University Press
Page : 496 pages
File Size : 41,5 Mb
Release : 2002-08-26
Category : Mathematics
ISBN : 9781139434188

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Finite Volume Methods for Hyperbolic Problems by Randall J. LeVeque Pdf

This book, first published in 2002, contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. These equations describe a wide range of wave propagation and transport phenomena arising in nearly every scientific and engineering discipline. Several applications are described in a self-contained manner, along with much of the mathematical theory of hyperbolic problems. High-resolution versions of Godunov's method are developed, in which Riemann problems are solved to determine the local wave structure and limiters are then applied to eliminate numerical oscillations. These methods were originally designed to capture shock waves accurately, but are also useful tools for studying linear wave-propagation problems, particularly in heterogenous material. The methods studied are implemented in the CLAWPACK software package and source code for all the examples presented can be found on the web, along with animations of many of the simulations. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.

Author : Elena Vázquez-Cendón,Arturo Hidalgo,Pilar Garcia Navarro,Luis Cea
Publisher : CRC Press
Page : 434 pages
File Size : 46,5 Mb
Release : 2012-11-05
Category : Mathematics
ISBN : 9780203562338

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Numerical Methods for Hyperbolic Equations by Elena Vázquez-Cendón,Arturo Hidalgo,Pilar Garcia Navarro,Luis Cea Pdf

Numerical Methods for Hyperbolic Equations is a collection of 49 articles presented at the International Conference on Numerical Methods for Hyperbolic Equations: Theory and Applications (Santiago de Compostela, Spain, 4-8 July 2011). The conference was organized to honour Professor Eleuterio Toro in the month of his 65th birthday. The topics cover

Author : Elena Vázquez-Cendón
Publisher : CRC Press
Page : 144 pages
File Size : 49,9 Mb
Release : 2011-05-23
Category : Mathematics
ISBN : 9780203590621

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Lecture Notes on Numerical Methods for Hyperbolic Equations by Elena Vázquez-Cendón Pdf

This volume contains the lecture notes of the Short Course on Numerical Methods for Hyperbolic Equations (Faculty of Mathematics, University of Santiago de Compostela, Spain, 2-4 July 2011). The course was organized in recognition of Prof. Eleuterio Toro‘s contribution to education and training on numerical methods for partial differential equation

Author : Sylvie Benzoni-Gavage,Denis Serre
Publisher : Springer Science & Business Media
Page : 1123 pages
File Size : 51,9 Mb
Release : 2008-01-12
Category : Mathematics
ISBN : 9783540757122

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Hyperbolic Problems: Theory, Numerics, Applications by Sylvie Benzoni-Gavage,Denis Serre Pdf

This volume contains papers that were presented at HYP2006, the eleventh international Conference on Hyperbolic Problems: Theory, Numerics and Applications. This biennial series of conferences has become one of the most important international events in Applied Mathematics. As computers became more and more powerful, the interplay between theory, modeling, and numerical algorithms gained considerable impact, and the scope of HYP conferences expanded accordingly.

Author : Giacomo Albi,Walter Boscheri,Mattia Zanella
Publisher : Springer Nature
Page : 241 pages
File Size : 44,5 Mb
Release : 2023-06-02
Category : Mathematics
ISBN : 9783031298752

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Advances in Numerical Methods for Hyperbolic Balance Laws and Related Problems by Giacomo Albi,Walter Boscheri,Mattia Zanella Pdf

A broad range of phenomena in science and technology can be described by non-linear partial differential equations characterized by systems of conservation laws with source terms. Well known examples are hyperbolic systems with source terms, kinetic equations, and convection-reaction-diffusion equations. This book collects research advances in numerical methods for hyperbolic balance laws and kinetic equations together with related modelling aspects. All the contributions are based on the talks of the speakers of the Young Researchers’ Conference “Numerical Aspects of Hyperbolic Balance Laws and Related Problems”, hosted at the University of Verona, Italy, in December 2021.

Author : Philippe G. Ciarlet,Jacques-Louis Lions,R. Glowinski
Publisher : Elsevier
Page : 827 pages
File Size : 44,7 Mb
Release : 1990
Category : Mathematics
ISBN : 9780444530479

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Numerical Methods for Non-Newtonian Fluids by Philippe G. Ciarlet,Jacques-Louis Lions,R. Glowinski Pdf

Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and readily understand their relative advantages and limitations.

Author : Thomas Y. Hou,Eitan Tadmor
Publisher : Springer Science & Business Media
Page : 946 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642557118

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Hyperbolic Problems: Theory, Numerics, Applications by Thomas Y. Hou,Eitan Tadmor Pdf

The International Conference on "Hyperbolic Problems: Theory, Numerics and Applications'' was held in CalTech on March 25-30, 2002. The conference was the ninth meeting in the bi-annual international series which became one of the highest quality and most successful conference series in Applied mathematics. This volume contains more than 90 contributions presented in this conference, including plenary presentations by A. Bressan, P. Degond, R. LeVeque, T.-P. Liu, B. Perthame, C.-W. Shu, B. Sjögreen and S. Ukai. Reflecting the objective of series, the contributions in this volume keep the traditional blend of theory, numerics and applications. The Hyp2002 meeting placed a particular emphasize on fundamental theory and numerical analysis, on multi-scale analysis, modeling and simulations, and on geophysical applications and free boundary problems arising from materials science and multi-component fluid dynamics. The volume should appeal to researchers, students and practitioners with general interest in time-dependent problems governed by hyperbolic equations.

Author : María Luz Muñoz-Ruiz,Carlos Parés,Giovanni Russo
Publisher : Springer Nature
Page : 269 pages
File Size : 42,5 Mb
Release : 2021-05-25
Category : Mathematics
ISBN : 9783030728502

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Recent Advances in Numerical Methods for Hyperbolic PDE Systems by María Luz Muñoz-Ruiz,Carlos Parés,Giovanni Russo Pdf

The present volume contains selected papers issued from the sixth edition of the International Conference "Numerical methods for hyperbolic problems" that took place in 2019 in Málaga (Spain). NumHyp conferences, which began in 2009, focus on recent developments and new directions in the field of numerical methods for hyperbolic partial differential equations (PDEs) and their applications. The 11 chapters of the book cover several state-of-the-art numerical techniques and applications, including the design of numerical methods with good properties (well-balanced, asymptotic-preserving, high-order accurate, domain invariant preserving, uncertainty quantification, etc.), applications to models issued from different fields (Euler equations of gas dynamics, Navier-Stokes equations, multilayer shallow-water systems, ideal magnetohydrodynamics or fluid models to simulate multiphase flow, sediment transport, turbulent deflagrations, etc.), and the development of new nonlinear dispersive shallow-water models. The volume is addressed to PhD students and researchers in Applied Mathematics, Fluid Mechanics, or Engineering whose investigation focuses on or uses numerical methods for hyperbolic systems. It may also be a useful tool for practitioners who look for state-of-the-art methods for flow simulation.

Author : Philipp Öffner
Publisher : Springer Nature
Page : 486 pages
File Size : 49,7 Mb
Release : 2023-09-17
Category : Mathematics
ISBN : 9783658426200

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Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws by Philipp Öffner Pdf

The book focuses on stability and approximation results concerning recent numerical methods for the numerical solution of hyperbolic conservation laws. The work begins with a detailed and thorough introduction of hyperbolic conservation/balance laws and their numerical treatment. In the main part, recent results in such context are presented focusing on the investigation of approximation properties of discontinuous Galerkin and flux reconstruction methods, the construction of (entropy) stable numerical methods and the extension of existing (entropy) stability results for both semidiscrete and fully discrete schemes, and development of new high-order methods.

Author : Heinrich Freistühler,Gerald Warnecke
Publisher : Birkhäuser
Page : 471 pages
File Size : 43,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034883726

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Hyperbolic Problems: Theory, Numerics, Applications by Heinrich Freistühler,Gerald Warnecke Pdf

Hyperbolic partial differential equations describe phenomena of material or wave transport in physics, biology and engineering, especially in the field of fluid mechanics. The mathematical theory of hyperbolic equations has recently made considerable progress. Accurate and efficient numerical schemes for computation have been and are being further developed. This two-volume set of conference proceedings contains about 100 refereed and carefully selected papers. The books are intended for researchers and graduate students in mathematics, science and engineering interested in the most recent results in theory and practice of hyperbolic problems. Applications touched in these proceedings concern one-phase and multiphase fluid flow, phase transitions, shallow water dynamics, elasticity, extended thermodynamics, electromagnetism, classical and relativistic magnetohydrodynamics, cosmology. Contributions to the abstract theory of hyperbolic systems deal with viscous and relaxation approximations, front tracking and wellposedness, stability of shock profiles and multi-shock patterns, traveling fronts for transport equations. Numerically oriented articles study finite difference, finite volume, and finite element schemes, adaptive, multiresolution, and artificial dissipation methods.

Author : Randall LeVeque
Publisher : Unknown
Page : 578 pages
File Size : 53,9 Mb
Release : 2002
Category : Electronic
ISBN : OCLC:1137348855

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Finite Volume Methods for Hyperbolic Problems by Randall LeVeque Pdf

This book contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. These equations describe a wide range of wave propagation and transport phenomena arising in nearly every scientific and engineering discipline. Several applications are described in a self-contained manner, along with much of the mathematical theory of hyperbolic problems. High-resolution versions of Godunov's method are developed, in which Riemann problems are solved to determine the local wave structure and limiters are then applied to eliminate numerical oscillations. These methods were originally designed to capture shock waves accurately, but are also useful tools for studying linear wave-propagation problems, particularly in heterogenous material. The methods studied are implemented in the CLAWPACK software package and source code for all the examples presented can be found on the web, along with animations of many of the simulations. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.

Author : Björn E. Engquist,Bertil Gustafsson
Publisher : Unknown
Page : 1024 pages
File Size : 47,8 Mb
Release : 1991
Category : Differential equations, Hyperbolic
ISBN : OCLC:1281748675

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Hyperbolic Problems by Björn E. Engquist,Bertil Gustafsson Pdf