Nonlinear Hyperbolic Equations Theory Computation Methods And Applications

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Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications

Josef Ballmann,Rolf Jeltsch
Nonlinear Hyperbolic Equations Theory Computation Methods and Applications Book PDF

Author : Josef Ballmann,Rolf Jeltsch
Publisher : Springer Science & Business Media
Page : 729 pages
File Size : 45,6 Mb
Release : 2013-03-08
Category : Technology & Engineering
ISBN : 9783322878694

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Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications by Josef Ballmann,Rolf Jeltsch Pdf

On the occasion of the International Conference on Nonlinear Hyperbolic Problems held in St. Etienne, France, 1986 it was decided to start a two years cycle of conferences on this very rapidly expanding branch of mathematics and it·s applications in Continuum Mechanics and Aerodynamics. The second conference toolc place in Aachen, FRG, March 14-18, 1988. The number of more than 200 participants from more than 20 countries all over the world and about 100 invited and contributed papers, well balanced between theory, numerical analysis and applications, do not leave any doubt that it was the right decision to start this cycle of conferences, of which the third will be organized in Sweden in 1990. ThiS volume contains sixty eight original papers presented at the conference, twenty two cif them dealing with the mathematical theory, e.g. existence, uniqueness, stability, behaviour of solutions, physical modelling by evolution equations. Twenty two articles in numerical analysis are concerned with stability and convergence to the physically relevant solutions such as schemes especially deviced for treating shoclcs, contact discontinuities and artificial boundaries. Twenty four papers contain multidimensional computational applications to nonlinear waves in solids, flow through porous media and compressible fluid flow including shoclcs, real gas effects, multiphase phenomena, chemical reactions etc. The editors and organizers of the Second International Conference on Hyperbolic Problems would lilce to thanlc the Scientific Committee for the generous support of recommending invited lectures and selecting the contributed papers of the conference.

Numerical Methods for Hyperbolic Equations

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

Author : Elena Vázquez-Cendón,Arturo Hidalgo,Pilar Garcia Navarro,Luis Cea
Publisher : CRC Press
Page : 436 pages
File Size : 48,7 Mb
Release : 2012-11-05
Category : Mathematics
ISBN : 9780415621502

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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 covered include: • Recent advances in the numerical computation of environmental conservation laws with source terms • Multiphase flow and porous media • Numerical methods in astrophysics • Seismology and geophysics modelling • High order methods for hyperbolic conservation laws • Numerical methods for reactive flows • Finite volume and discontinous Galerkin schemes for stiff source term problems • Methods and models for biomedical problems • Numerical methods for reactive flows The research interest of Eleuterio Toro, born in Chile on 16th July 1946, is reflected in Numerical Methods for Hyperbolic Equations, and focuses on: numerical methods for partial differential equations, with particular emphasis on methods for hyperbolic equations; design and application of new algorithms; hyperbolic partial differential equations as mathematical models of various types of processes; mathematical modelling and simulation of physico/chemical processes that include wave propagation phenomena; modelling of multiphase flows; application of models and methods to real problems. Eleuterio Toro received several honours and distinctions, including the honorary title OBE from Queen Elizabeth II (Buckingham Palace, London 2000); Distinguished Citizen of the City of Carahue (Chile, 2001); Life Fellow, Claire Hall, University of Cambridge (UK, 2003); Fellow of the Indian Society for Shock Wave Research (Bangalore, 2005); Doctor Honoris Causa (Universidad de Santiago de Chile, 2008); William Penney Fellow, University of Cambridge (UK, 2010); Doctor Honoris Causa (Universidad de la Frontera, Chile, 2012). Professor Toro is author of two books, editor of two books and author of more than 260 research works. In the last ten years he has been invited and keynote speaker in more than 100 scientific events. Professor Toro has held many visiting appointments round the world, which include several European countries, Japan, China and USA.

Some Problems on Nonlinear Hyperbolic Equations and Applications

Yuejun Peng,Bopeng Rao
Some Problems on Nonlinear Hyperbolic Equations and Applications Book PDF

Author : Yuejun Peng,Bopeng Rao
Publisher : World Scientific
Page : 464 pages
File Size : 46,5 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814322881

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Some Problems on Nonlinear Hyperbolic Equations and Applications by Yuejun Peng,Bopeng Rao Pdf

This volume is composed of two parts: Mathematical and Numerical Analysis for Strongly Nonlinear Plasma Models and Exact Controllability and Observability for Quasilinear Hyperbolic Systems and Applications. It presents recent progress and results obtained in the domains related to both subjects without attaching much importance to the details of proofs but rather to difficulties encountered, to open problems and possible ways to be exploited. It will be very useful for promoting further study on some important problems in the future.

Nonlinear Partial Differential Equations

Gui-Qiang Chen,Emmanuele DiBenedetto
Nonlinear Partial Differential Equations Book PDF

Author : Gui-Qiang Chen,Emmanuele DiBenedetto
Publisher : American Mathematical Soc.
Page : 323 pages
File Size : 53,6 Mb
Release : 1999
Category : Differential equations, Nonlinear
ISBN : 9780821811962

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Nonlinear Partial Differential Equations by Gui-Qiang Chen,Emmanuele DiBenedetto Pdf

This volume is a collection of original research papers and expository articles stemming from the scientific program of the Nonlinear PDE Emphasis Year held at Northwestern University (Evanston, IL) in March 1998. The book offers a cross-section of the most significant recent advances and current trends and directions in nonlinear partial differential equations and related topics. The book's contributions offer two perspectives. There are papers on general analytical treatment of the theory and papers on computational methods and applications originating from significant realistic mathematical models of natural phenomena. Also included are articles that bridge the gap between these two perspectives, seeking synergistic links between theory and modeling and computation. The volume offers direct insight into recent trends in PDEs. This volume is also available on the Web. Those who purchase the print edition can gain free access by going to www.ams.org/conm/.

Hyperbolic Problems: Theory, Numerics And Applications (In 2 Volumes)

Li Ta-tsien,Jiang Song
Hyperbolic Problems Theory Numerics And Applications In 2 Volumes Book PDF

Author : Li Ta-tsien,Jiang Song
Publisher : World Scientific
Page : 792 pages
File Size : 41,8 Mb
Release : 2012-09-28
Category : Mathematics
ISBN : 9789814417105

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Hyperbolic Problems: Theory, Numerics And Applications (In 2 Volumes) by Li Ta-tsien,Jiang Song Pdf

This two-volume book is devoted to mathematical theory, numerics and applications of hyperbolic problems. Hyperbolic problems have not only a long history but also extremely rich physical background. The development is highly stimulated by their applications to Physics, Biology, and Engineering Sciences; in particular, by the design of effective numerical algorithms. Due to recent rapid development of computers, more and more scientists use hyperbolic partial differential equations and related evolutionary equations as basic tools when proposing new mathematical models of various phenomena and related numerical algorithms.This book contains 80 original research and review papers which are written by leading researchers and promising young scientists, which cover a diverse range of multi-disciplinary topics addressing theoretical, modeling and computational issues arising under the umbrella of ';Hyperbolic Partial Differential Equations';. It is aimed at mathematicians, researchers in applied sciences and graduate students.

Numerical Approximation of Hyperbolic Systems of Conservation Laws

Edwige Godlewski,Pierre-Arnaud Raviart
Numerical Approximation of Hyperbolic Systems of Conservation Laws Book PDF

Author : Edwige Godlewski,Pierre-Arnaud Raviart
Publisher : Springer Science & Business Media
Page : 519 pages
File Size : 43,9 Mb
Release : 2013-11-21
Category : Mathematics
ISBN : 9781461207139

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Numerical Approximation of Hyperbolic Systems of Conservation Laws by Edwige Godlewski,Pierre-Arnaud Raviart Pdf

This work is devoted to the theory and approximation of nonlinear hyper bolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors, and we shall make frequent references to Godlewski and Raviart (1991) (hereafter noted G. R. ), though the present volume can be read independently. This earlier publication, apart from a first chap ter, especially covered the scalar case. Thus, we shall detail here neither the mathematical theory of multidimensional scalar conservation laws nor their approximation in the one-dimensional case by finite-difference con servative schemes, both of which were treated in G. R. , but we shall mostly consider systems. The theory for systems is in fact much more difficult and not at all completed. This explains why we shall mainly concentrate on some theoretical aspects that are needed in the applications, such as the solution of the Riemann problem, with occasional insights into more sophisticated problems. The present book is divided into six chapters, including an introductory chapter. For the reader's convenience, we shall resume in this Introduction the notions that are necessary for a self-sufficient understanding of this book -the main definitions of hyperbolicity, weak solutions, and entropy present the practical examples that will be thoroughly developed in the following chapters, and recall the main results concerning the scalar case.

Nonlinear Partial Differential Equations

W. F. Ames
Nonlinear Partial Differential Equations Book PDF

Author : W. F. Ames
Publisher : Academic Press
Page : 332 pages
File Size : 43,8 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483221502

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Nonlinear Partial Differential Equations by W. F. Ames Pdf

Nonlinear Partial Differential Equations: A Symposium on Methods of Solution is a collection of papers presented at the seminar on methods of solution for nonlinear partial differential equations, held at the University of Delaware, Newark, Delaware on December 27-29, 1965. The sessions are divided into four Symposia: Analytic Methods, Approximate Methods, Numerical Methods, and Applications. Separating 19 lectures into chapters, this book starts with a presentation of the methods of similarity analysis, particularly considering the merits, advantages and disadvantages of the methods. The subsequent chapters describe the fundamental ideas behind the methods for the solution of partial differential equation derived from the theory of dynamic programming and from finite systems of ordinary differential equations. These topics are followed by reviews of the principles to the lubrication approximation and compressible boundary-layer flow computation. The discussion then shifts to several applications of nonlinear partial differential equations, including in electrical problems, two-phase flow, hydrodynamics, and heat transfer. The remaining chapters cover other solution methods for partial differential equations, such as the synergetic approach. This book will prove useful to applied mathematicians, physicists, and engineers.

Hyperbolic Partial Differential Equations

Matthew Witten
Hyperbolic Partial Differential Equations Book PDF

Author : Matthew Witten
Publisher : Elsevier
Page : 253 pages
File Size : 53,6 Mb
Release : 2014-05-17
Category : Mathematics
ISBN : 9781483155630

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Hyperbolic Partial Differential Equations by Matthew Witten Pdf

Hyperbolic Partial Differential Equations, Volume 1: Population, Reactors, Tides and Waves: Theory and Applications covers three general areas of hyperbolic partial differential equation applications. These areas include problems related to the McKendrick/Von Foerster population equations, other hyperbolic form equations, and the numerical solution. This text is composed of 15 chapters and begins with surveys of age specific population interactions, populations models of diffusion, nonlinear age dependent population growth with harvesting, local and global stability for the nonlinear renewal equation in the Von Foerster model, and nonlinear age-dependent population dynamics. The next chapters deal with various applications of hyperbolic partial differential equations to such areas as age-structured fish populations, density dependent growth in a cell colony, boll-weevil-cotton crop modeling, age dependent predation and cannibalism, parasite populations, growth of microorganisms, and stochastic perturbations in the Von Foerster model. These topics are followed by discussions of bifurcation of time periodic solutions of the McKendrick equation; the periodic solution of nonlinear hyperbolic problems; and semigroup theory as applied to nonlinear age dependent population dynamics. Other chapters explore the stability of biochemical reaction tanks, an ADI model for the Laplace tidal equations, the Carleman equation, the nonequilibrium behavior of solids that transport heat by second sound, and the nonlinear hyperbolic partial differential equations and dynamic programming. The final chapters highlight two explicitly numerical applications: a predictor-convex corrector method and the Galerkin approximation in hyperbolic partial differential equations. This book will prove useful to practicing engineers, population researchers, physicists, and mathematicians.

Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations

Sergio Albeverio,Michael Demuth,Elmar Schrohe,Bert-Wolfgang Schulze
Nonlinear Hyperbolic Equations Spectral Theory and Wavelet Transformations Book PDF

Author : Sergio Albeverio,Michael Demuth,Elmar Schrohe,Bert-Wolfgang Schulze
Publisher : Birkhäuser
Page : 444 pages
File Size : 45,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034880732

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Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations by Sergio Albeverio,Michael Demuth,Elmar Schrohe,Bert-Wolfgang Schulze Pdf

This volume focuses on recent developments in non-linear and hyperbolic equations. It will be a most valuable resource for researchers in applied mathematics, the theory of wavelets, and in mathematical and theoretical physics. Nine up-to-date contributions have been written on invitation by experts in the respective fields. The book is the third volume of the subseries "Advances in Partial Differential Equations".

Partial Differential Equations of Hyperbolic Type and Applications

Giuseppe Geymonat
Partial Differential Equations of Hyperbolic Type and Applications Book PDF

Author : Giuseppe Geymonat
Publisher : World Scientific
Page : 196 pages
File Size : 55,5 Mb
Release : 1987
Category : Mathematics
ISBN : 9971502054

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Partial Differential Equations of Hyperbolic Type and Applications by Giuseppe Geymonat Pdf

This book introduces the general aspects of hyperbolic conservation laws and their numerical approximation using some of the most modern tools: spectral methods, unstructured meshes and ?-formulation. The applications of these methods are found in some significant examples such as the Euler equations. This book, a collection of articles by the best authors in the field, exposes the reader to the frontier of the research and many open problems.

Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

B. Cockburn,C. Johnson,C.-W. Shu,E. Tadmor
Advanced Numerical Approximation of Nonlinear Hyperbolic Equations Book PDF

Author : B. Cockburn,C. Johnson,C.-W. Shu,E. Tadmor
Publisher : Springer
Page : 446 pages
File Size : 40,6 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540498049

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Advanced Numerical Approximation of Nonlinear Hyperbolic Equations by B. Cockburn,C. Johnson,C.-W. Shu,E. Tadmor Pdf

This volume contains the texts of the four series of lectures presented by B.Cockburn, C.Johnson, C.W. Shu and E.Tadmor at a C.I.M.E. Summer School. It is aimed at providing a comprehensive and up-to-date presentation of numerical methods which are nowadays used to solve nonlinear partial differential equations of hyperbolic type, developing shock discontinuities. The most effective methodologies in the framework of finite elements, finite differences, finite volumes spectral methods and kinetic methods, are addressed, in particular high-order shock capturing techniques, discontinuous Galerkin methods, adaptive techniques based upon a-posteriori error analysis.

Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects

Andrea Donato,Francesco Oliveri
Nonlinear Hyperbolic Problems Theoretical Applied and Computational Aspects Book PDF

Author : Andrea Donato,Francesco Oliveri
Publisher : Notes on Numerical Fluid Mechanics and Multidisciplinary Design
Page : 630 pages
File Size : 49,8 Mb
Release : 1993
Category : Mathematics
ISBN : UOM:39015017430508

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Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects by Andrea Donato,Francesco Oliveri Pdf

This book contains original papers presented at the Fourth International Conference on Hyperbolic Problems which was held on April 3-8, 1992 in Taormina (Sicily), Italy. The aim of the Conferences in this cycle is to bring together scientists with interest in theo­ retical, applied and computational aspects of hyperbolic partial differential equations. The contributions, well balanced among these three aspects, deal with: mathematical theory of wave propagation, kinetic theory, existence, uniqueness and stabil­ ity of solutions, mathematical modeling of physical phenomena, stability and convergence of numerical schemes, multidimensional computational applications, etc. The papers are printed in the authors' alphabetic order following the idea both of mixing together topics of interest to different areas and of considering either theoretical results connected with applied problems or new applications with an essential mathemat­ ical approach. The Proceedings from the previous Conferences held in St. Etienne (1986), Aachen (1988) and Uppsala (1990) appeared respectively as: * Lecture Notes in Mathematics, 1270, P. Carasso, P. A. Raviart & D. Serre (Eds.), Springer-Verlag (1987) * Notes on Numerical Fluid Mechanics, 24, J. Ballmann & R. Jeltsch (Eds.), Vieweg (1989 ) * Third International Conference on Hyperbolic Problems, B. Engquist & B. Gustafs­ son (Eds.), Vol. I, II, Studentlitteratur, Uppsala University (1991). The organizers and the editors of the Conference would like to thank the Scientific Committee for the generous support, for suggesting the invited lectures, and for selecting the contributed papers.

Computational Methods for the Atmosphere and the Oceans

Roger Temam,Joe Tribbia
Computational Methods for the Atmosphere and the Oceans Book PDF

Author : Roger Temam,Joe Tribbia
Publisher : Elsevier
Page : 797 pages
File Size : 54,6 Mb
Release : 2009-06-16
Category : Computers
ISBN : 9780080931036

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Computational Methods for the Atmosphere and the Oceans by Roger Temam,Joe Tribbia Pdf

This book provides a survey of the frontiers of research in the numerical modeling and mathematical analysis used in the study of the atmosphere and oceans. The details of the current practices in global atmospheric and ocean models, the assimilation of observational data into such models and the numerical techniques used in theoretical analysis of the atmosphere and ocean are among the topics covered. • Truly interdisciplinary: scientific interactions between specialties of atmospheric and ocean sciences and applied and computational mathematics • Uses the approach of computational mathematicians, applied and numerical analysts and the tools appropriate for unsolved problems in the atmospheric and oceanic sciences• Contributions uniquely address central problems and provide a survey of the frontier of research

Hyperbolic Problems: Theory, Numerics, Applications

Heinrich Freistühler,Gerald Warnecke
Hyperbolic Problems Theory Numerics Applications Book PDF

Author : Heinrich Freistühler,Gerald Warnecke
Publisher : Birkhäuser
Page : 471 pages
File Size : 44,9 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.

Proceedings of the Fourth European Conference on Mathematics in Industry

U. Wacker,Walter Zulehner
Proceedings of the Fourth European Conference on Mathematics in Industry Book PDF

Author : U. Wacker,Walter Zulehner
Publisher : Springer Science & Business Media
Page : 407 pages
File Size : 52,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400907034

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Proceedings of the Fourth European Conference on Mathematics in Industry by U. Wacker,Walter Zulehner Pdf

The Fourth ECMI Conference on Industrial Mathematics took place at Strobl in Aus tria, May 29-June 2, 1989. The conference was devoted to the exchange of ideas, models and methods from various fields of industrial applications of mathematics. About 140 people from 21 countries attended the meeting. The aim was to bring together peo ple from industry and from university. In this respect the organizers were only partly successful!. The participance of about 20 people from industry shows that there is still much work to be done to increase the acceptance from this side. 72 speakers presented their results as invited or contributed lectures, or in the frame of 2 minisymposia. One minisymposium was organized by Heinz W. Engl and focused on steel processing, the other one, organized by Hansjorg Wacker, dealt with chemical engineering. These proceedings consist of 56 papers. The articles within each of the sections: Invited Lectures, Minisymposium Steel Processing, Minisymposium Chemical Engi neering, and Contributed Lectures are in alphabetical order of the first author. Exept for the contributions to the minisymposia, which clearly concentrate on the corre sponding topics, it is hard to find a reasonable classification of the papers . This, we believe, is typical for industrial mathematics and underlines the vast variety of fields where mathematics could be used to support problem solving. We would like to acknowlegde the valuable work of the referees of the articles who certainly helped to improve the quality of this volume.