Wave Propagation Schemes Operator Splitting And Front Tracking For Hyperbolic Conservation Laws
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Wave Propagation Schemes Operator Splitting And Front Tracking For Hyperbolic Conservation Laws
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Author : Universitetet i Oslo. Institute for Informatics
language : en
Publisher:
Release Date : 1996
Wave Propagation Schemes Operator Splitting And Front Tracking For Hyperbolic Conservation Laws written by Universitetet i Oslo. Institute for Informatics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Conservation laws (Mathematics) categories.
Front Tracking For Hyperbolic Conservation Laws
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Author : Helge Holden
language : en
Publisher: Springer
Release Date : 2015-12-10
Front Tracking For Hyperbolic Conservation Laws written by Helge Holden and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-10 with Mathematics categories.
This is the second edition of a well-received book providing the fundamentals of the theory hyperbolic conservation laws. Several chapters have been rewritten, new material has been added, in particular, a chapter on space dependent flux functions and the detailed solution of the Riemann problem for the Euler equations. Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numerical method. The multidimensional scalar case and the case of systems on the line are treated in detail. A chapter on finite differences is included. From the reviews of the first edition: "It is already one of the few best digests on this topic. The present book is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style." D. Serre, MathSciNet "I have read the book with great pleasure, and I can recommend it to experts as well as students. It can also be used for reliable and very exciting basis for a one-semester graduate course." S. Noelle, Book review, German Math. Soc. "Making it an ideal first book for the theory of nonlinear partial differential equations...an excellent reference for a graduate course on nonlinear conservation laws." M. Laforest, Comp. Phys. Comm.
Wave Propagation Schemes Operator Splitting And Frond Tracking For Hyperbolic Conservation Laws
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Author : J. O. Langseth
language : en
Publisher:
Release Date : 1996
Wave Propagation Schemes Operator Splitting And Frond Tracking For Hyperbolic Conservation Laws written by J. O. Langseth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Hyperbolic Conservation Laws In Continuum Physics
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Author : Constantine M. Dafermos
language : en
Publisher: Springer
Release Date : 2016-05-26
Hyperbolic Conservation Laws In Continuum Physics written by Constantine M. Dafermos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-26 with Mathematics categories.
OLD TEXT 4th Edition to be replaced: This is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservation laws. It illustrates the essential role of continuum thermodynamics in providing motivation and direction for the development of the mathematical theory while also serving as the principal source of applications. The reader is expected to have a certain mathematical sophistication and to be familiar with (at least) the rudiments of analysis and the qualitative theory of partial differential equations, whereas prior exposure to continuum physics is not required. The target group of readers would consist of (a) experts in the mathematical theory of hyperbolic systems of conservation laws who wish to learn about the connection with classical physics; (b) specialists in continuum mechanics who may need analytical tools; (c) experts in numerical analysis who wish to learn the underlying mathematical theory; and (d) analysts and graduate students who seek introduction to the theory of hyperbolic systems of conservation laws. This new edition places increased emphasis on hyperbolic systems of balance laws with dissipative source, modeling relaxation phenomena. It also presents an account of recent developments on the Euler equations of compressible gas dynamics. Furthermore, the presentation of a number of topics in the previous edition has been revised, expanded and brought up to date, and has been enriched with new applications to elasticity and differential geometry. The bibliography, also expanded and updated, now comprises close to two thousand titles. From the reviews of the 3rd edition: "This is the third edition of the famous book by C.M. Dafermos. His masterly written book is, surely, the most complete exposition in the subject." Evgeniy Panov, Zentralblatt MATH "A monumental book encompassing all aspects of the mathematical theory of hyperbolic conservation laws, widely recognized as the "Bible" on the subject." Philippe G. LeFloch, Math. Reviews
Transactions Of The Fourth Army Conference On Applied Mathematics And Computing
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Author :
language : en
Publisher:
Release Date : 1987
Transactions Of The Fourth Army Conference On Applied Mathematics And Computing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Computable functions categories.
Godunov Methods
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Author : E.F. Toro
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Godunov Methods written by E.F. Toro and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This edited review book on Godunov methods contains 97 articles, all of which were presented at the international conference on Godunov Methods: Theory and Applications, held at Oxford in October 1999, to commemo rate the 70th birthday of the Russian mathematician Sergei K. Godunov. The meeting enjoyed the participation of 140 scientists from 20 countries; one of the participants commented: everyone is here, meaning that virtu ally everybody who had made a significant contribution to the general area of numerical methods for hyperbolic conservation laws, along the lines first proposed by Godunov in the fifties, was present at the meeting. Sadly, there were important absentees, who due to personal circumstance could not at tend this very exciting gathering. The central theme o{ the meeting, and of this book, was numerical methods for hyperbolic conservation laws fol lowing Godunov's key ideas contained in his celebrated paper of 1959. But Godunov's contributions to science are not restricted to Godunov's method.
Stochastic Processes Physics And Geometry New Interplays Ii
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Author : Sergio Albeverio
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Stochastic Processes Physics And Geometry New Interplays Ii written by Sergio Albeverio and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
The second of two volumes with selected treatments of the conference theme, Infinite Dimensional (Stochastic) Analysis and Quantum Physics, which positions scientists at the interface of mathematics and physics. The 57 papers discuss such topics as the valuation of bonds and options under floating interest rate, the loop group factorization of biorthogonal wavelet bases, asymptotic properties of the maximal sub-interval of a Poisson process, generalized configuration spaces for quantum systems, Sobolev spaces and the capacity theory of path spaces, representing coherent state in white noise calculus, and the analytic quantum information manifold. There is no index. The first volume contains contributions of invited speakers. Annotation copyrighted by Book News, Inc., Portland, OR
Bit
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Author :
language : en
Publisher:
Release Date : 1999
Bit written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Computers categories.
Computing Qualitatively Correct Approximations Of Balance Laws
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Author : Laurent Gosse
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-30
Computing Qualitatively Correct Approximations Of Balance Laws written by Laurent Gosse and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-30 with Mathematics categories.
Substantial effort has been drawn for years onto the development of (possibly high-order) numerical techniques for the scalar homogeneous conservation law, an equation which is strongly dissipative in L1 thanks to shock wave formation. Such a dissipation property is generally lost when considering hyperbolic systems of conservation laws, or simply inhomogeneous scalar balance laws involving accretive or space-dependent source terms, because of complex wave interactions. An overall weaker dissipation can reveal intrinsic numerical weaknesses through specific nonlinear mechanisms: Hugoniot curves being deformed by local averaging steps in Godunov-type schemes, low-order errors propagating along expanding characteristics after having hit a discontinuity, exponential amplification of truncation errors in the presence of accretive source terms... This book aims at presenting rigorous derivations of different, sometimes called well-balanced, numerical schemes which succeed in reconciling high accuracy with a stronger robustness even in the aforementioned accretive contexts. It is divided into two parts: one dealing with hyperbolic systems of balance laws, such as arising from quasi-one dimensional nozzle flow computations, multiphase WKB approximation of linear Schrödinger equations, or gravitational Navier-Stokes systems. Stability results for viscosity solutions of onedimensional balance laws are sketched. The other being entirely devoted to the treatment of weakly nonlinear kinetic equations in the discrete ordinate approximation, such as the ones of radiative transfer, chemotaxis dynamics, semiconductor conduction, spray dynamics or linearized Boltzmann models. “Caseology” is one of the main techniques used in these derivations. Lagrangian techniques for filtration equations are evoked too. Two-dimensional methods are studied in the context of non-degenerate semiconductor models.
Siam Journal On Scientific Computing
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Author :
language : en
Publisher:
Release Date : 2001
Siam Journal On Scientific Computing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematical statistics categories.