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Nonlinear Hyperbolic Problems Theoretical Applied And Computational Aspects
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Book Synopsis Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects by : Andrea Donato
Download or read book Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects written by Andrea Donato and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Approximation of Hyperbolic Systems of Conservation Laws by : Edwige Godlewski
Download or read book Numerical Approximation of Hyperbolic Systems of Conservation Laws written by Edwige Godlewski and published by Springer Nature. This book was released on 2021-08-28 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic 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. Since the earlier work concentrated on the mathematical theory of multidimensional scalar conservation laws, this book will focus on systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems, with special attention to the system of gas dynamics. This new edition includes more examples such as MHD and shallow water, with an insight on multiphase flows. Additionally, the text includes source terms and well-balanced/asymptotic preserving schemes, introducing relaxation schemes and addressing problems related to resonance and discontinuous fluxes while adding details on the low Mach number situation.
Book Synopsis Error Estimates for Well-Balanced Schemes on Simple Balance Laws by : Debora Amadori
Download or read book Error Estimates for Well-Balanced Schemes on Simple Balance Laws written by Debora Amadori and published by Springer. This book was released on 2015-10-23 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents, in an attractive and self-contained form, techniques based on the L1 stability theory derived at the end of the 1990s by A. Bressan, T.-P. Liu and T. Yang that yield original error estimates for so-called well-balanced numerical schemes solving 1D hyperbolic systems of balance laws. Rigorous error estimates are presented for both scalar balance laws and a position-dependent relaxation system, in inertial approximation. Such estimates shed light on why those algorithms based on source terms handled like "local scatterers" can outperform other, more standard, numerical schemes. Two-dimensional Riemann problems for the linear wave equation are also solved, with discussion of the issues raised relating to the treatment of 2D balance laws. All of the material provided in this book is highly relevant for the understanding of well-balanced schemes and will contribute to future improvements.
Book Synopsis Hyperbolic Problems: Theory, Numerics, Applications - Proceedings Of The Fifth International Conference by : James Glimm
Download or read book Hyperbolic Problems: Theory, Numerics, Applications - Proceedings Of The Fifth International Conference written by James Glimm and published by World Scientific. This book was released on 1996-03-14 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intellectual center of this proceedings volume is the subject of conservation laws. Conservation laws are the most basic model of many continuum processes, and for this reason they govern the motion of fluids, solids, and plasma. They are basic to the understanding of more complex modeling issues, such as multiphase flow, chemically reacting flow, and non-equilibrium thermodynamics. Equations of this type also arise in novel and unexpected areas, such as the pattern recognition and image processing problem of edge enhancement and detection. The articles in this volume address the entire range of the study of conservation laws, including the fundamental mathematical theory, familiar and novel applications, and the numerical problem of finding effective computational algorithms for the solution of these problems.
Book Synopsis Applied Computational Electromagnetics by : Nikolaos K. Uzunoglu
Download or read book Applied Computational Electromagnetics written by Nikolaos K. Uzunoglu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: @EOI: AEI rEOMETPEI Epigram of the Academy of Plato in Athens Electromagnetism, the science of forces arising from Amber (HAEKTPON) and the stone of Magnesia (MArNHLIA), has been the fOWldation of major scientific breakthroughs, such as Quantum Mechanics and Theory of Relativity, as well as most leading edge technologies of the twentieth century. The accuracy of electromagnetic fields computations for engineering purposes has been significantly improved during the last decades, due to the deVelopment of efficient computational techniques and the availability of high performance computing. The present book is based on the contributions and discussions developed during the NATO Advanced Study Institute on Applied Computational Electromagnetics: State of the Art and Future Trends, which has taken place in Hellas, on the island of Samos, very close to the birthplace of Electromagnetism. The book covers the fundamental concepts, recent developments and advanced applications of Integral Equation and Metliod of Moments Techniques, Finite Element and BOWldary Element Methods, Finite Difference Time Domain and Transmission Line Methods. Furthermore, topics related to Computational Electromagnetics, such as Inverse Scattering, Semi-Analytical Methods and Parallel Processing Techniques are included. The collective presentation of the principal computational electromagnetics techniques, developed to handle diverse challenging leading edge technology problems, is expected to be useful to researchers and postgraduate students working in various topics of electromagnetic technologies.
Book Synopsis Boundary Elements: Implementation and Analysis of Advanced Algorithms by : Wolfgang Hackbusch
Download or read book Boundary Elements: Implementation and Analysis of Advanced Algorithms written by Wolfgang Hackbusch and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Englischer Text: The volume contains 21 contributions to the 12th GAMM-Seminar (Kiel, January 1996), which was devoted to advanced algorithms in the field of boundary element methods. The topics were e. g. cubature techniques, multiscale methods, hp-discretisation, error estimation, domain decomposition, and programm design. Deutscher Text: Der Band enthält die 21 Beiträge zum 12. GAMM-Seminar (Kiel, Jaunuar 1996), welches sich mit fortgeschrittenen Algorithmen auf dem Gebiet der Randwertprobleme befaßte.
Book Synopsis Advances in the Theory of Shock Waves by : Heinrich Freistühler
Download or read book Advances in the Theory of Shock Waves written by Heinrich Freistühler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the field known as "the mathematical theory of shock waves," very exciting and unexpected developments have occurred in the last few years. Joel Smoller and Blake Temple have established classes of shock wave solutions to the Einstein Euler equations of general relativity; indeed, the mathematical and physical con sequences of these examples constitute a whole new area of research. The stability theory of "viscous" shock waves has received a new, geometric perspective due to the work of Kevin Zumbrun and collaborators, which offers a spectral approach to systems. Due to the intersection of point and essential spectrum, such an ap proach had for a long time seemed out of reach. The stability problem for "in viscid" shock waves has been given a novel, clear and concise treatment by Guy Metivier and coworkers through the use of paradifferential calculus. The L 1 semi group theory for systems of conservation laws, itself still a recent development, has been considerably condensed by the introduction of new distance functionals through Tai-Ping Liu and collaborators; these functionals compare solutions to different data by direct reference to their wave structure. The fundamental prop erties of systems with relaxation have found a systematic description through the papers of Wen-An Yong; for shock waves, this means a first general theorem on the existence of corresponding profiles. The five articles of this book reflect the above developments.
Book Synopsis Computational Fluid Dynamics on Parallel Systems by : Siegfried Wagner
Download or read book Computational Fluid Dynamics on Parallel Systems written by Siegfried Wagner and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within the DFG -Schwerpunktprogramm "Stromungssimulation mit Hochleistungsrechnern" and within the activities of the French-German cooperation of CNRS and DFG a DFG symposium on "Computational Fluid Dynamics (CFD) on Parallel Systems" was organized at the Institut fur Aerodynamik and Gasdynamik of the Stuttgart University, 9-10 December 1993. This symposium was attended by 37 scientists. The scientific program consisted of 18 papers that considered finite element, finite volume and a two step Taylor Galerkin algorithm for the numerical solution of the Euler and Navier-Stokes equations on massively parallel computers with MIMD and SIMD architecture and on work station clusters. Incompressible and compressible, steady and unsteady flows were considered including turbu lent combustion with complex chemistry. Structured and unstructured grids were used. High numerical efficiency was demonstrated by multiplicative, additive and multigrid methods. Shared memory, virtual shared memory and distributed memory systems were investigated, in some cases based on an automatic grid partitioning technique. Various methods for domain decomposition were investigated. The key point of these methods is the resolution of the inter face problem because the matrix involved can be block dense. Multilevel decomposition can be very efficient using multifrontal algorithm. The numerical methods include explicit and implicit schemes. In the latter case the system of equations is often solved by a Gauss -Seidel line re laxation technique.
Book Synopsis Theory, Numerics and Applications of Hyperbolic Problems II by : Christian Klingenberg
Download or read book Theory, Numerics and Applications of Hyperbolic Problems II written by Christian Klingenberg and published by Springer. This book was released on 2018-08-01 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second of two volumes, this edited proceedings book features research presented at the XVI International Conference on Hyperbolic Problems held in Aachen, Germany in summer 2016. It focuses on the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models (PDEs of mixed type, kinetic equations, nonlocal or/and discrete models) found in the field of applied sciences.
Book Synopsis Adaptive Methods — Algorithms, Theory and Applications by : W. Hackbusch
Download or read book Adaptive Methods — Algorithms, Theory and Applications written by W. Hackbusch and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: The GAMM Committee for "Efficient Numerical Methods for Partial Differential Equations" organizes workshops on subjects concerning the algorithmical treat ment of partial differential equations. The topics are discretization methods like the finite element and finite volume method for various types of applications in structural and fluid mechanics. Particular attention is devoted to advanced solu tion techniques. th The series of such workshops was continued in 1993, January 22-24, with the 9 Kiel-Seminar on the special topic "Adaptive Methods Algorithms, Theory and Applications" at the Christian-Albrechts-University of Kiel. The seminar was attended by 76 scientists from 7 countries and 23 lectures were given. The list of topics contained general lectures on adaptivity, special discretization schemes, error estimators, space-time adaptivity, adaptive solvers, multi-grid me thods, wavelets, and parallelization. Special thanks are due to Michael Heisig, who carefully compiled the contribu tions to this volume. November 1993 Wolfgang Hackbusch Gabriel Wittum v Contents Page A. AUGE, G. LUBE, D. WEISS: Galerkin/Least-Squares-FEM and Ani- tropic Mesh Refinement. 1 P. BASTIAN, G. WmUM : Adaptive Multigrid Methods: The UG Concept. 17 R. BEINERT, D. KRONER: Finite Volume Methods with Local Mesh Alignment in 2-D. 38 T. BONK: A New Algorithm for Multi-Dimensional Adaptive Nume- cal Quadrature. 54 F.A. BORNEMANN: Adaptive Solution of One-Dimensional Scalar Conservation Laws with Convex Flux. 69 J. CANU, H. RITZDORF : Adaptive, Block-Structured Multigrid on Local Memory Machines. 84 S. DAHLKE, A. KUNaTH: Biorthogonal Wavelets and Multigrid. 99 B. ERDMANN, R.H.W. HOPPE, R.
Book Synopsis EUROPT — A European Initiative on Optimum Design Methods in Aerodynamics by : Jacques Periaux
Download or read book EUROPT — A European Initiative on Optimum Design Methods in Aerodynamics written by Jacques Periaux and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a set of different methodologies and solutions for a number of selected optimum design problems in Aerospace Engineering. The methodologies for the solution of these problems cover optimization and inverse problems, external and internal flows, subsonic and transsonic regimes, different flow solvers and different discretizations schemes. These were presented in a workshop during the EUROPT BRITE/ EURAM project. This book will be of interest to a wide range of readers, including engineers and scientists working in computing, optimization and control theory. Undergraduate and graduate students in computer science and aerospace engineering will also find the contents of this book a valuable reference. Dieser Band enthält Methoden und Lösungen für Probleme desoptimalen Designs in der Luftfahrt. Sie umfassen Fragestellung aus der Optimierung, der inversen Probleme, der inneren und äußeren Flüsse, Unter- und Überschall sowie verschiedene Diskretisierungsschemata. Die Beiträge stammen von einem Workshop, der während des BRIETE/ EURAM-Projekts EUROPT abgehalten wurde.
Book Synopsis Computation of Three-Dimensional Complex Flows by : Michel Deville
Download or read book Computation of Three-Dimensional Complex Flows written by Michel Deville and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Der Sammelband enthält Beiträge einer Tagung über die Simulation von dreidimensionalen Flüssigkeiten. Sie geben einen Überblick über den Stand des Wissens auf dem Gebiet der numerischen Simulation der Turbulenz, angewandt auf eine weite Spanne von Problemen wie Aerodynamik, Nicht-Newtonsche Flüssigkeiten, Konvektion.This volume contains the material presented at the IMACS-COST Conference on CFD, Three-Dimensional Complex Flows, held in Lausanne (Switzerland), September 13 - 15, 1995. It gives an overview of the current state of numerical simulation and turbulence modelling applied to a wide range of fluid flow problems such as an example aerodynamics, non-Newtonian flows, transition, thermal convection.
Book Synopsis Front Tracking for Hyperbolic Conservation Laws by : Helge Holden
Download or read book Front Tracking for Hyperbolic Conservation Laws written by Helge Holden and published by Springer. This book was released on 2015-12-10 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :Ernst Heinrich Hirschel Publisher :Springer Science & Business Media ISBN 13 :3322898490 Total Pages :584 pages Book Rating :4.3/5 (228 download)
Book Synopsis Flow Simulation with High-Performance Computers II by : Ernst Heinrich Hirschel
Download or read book Flow Simulation with High-Performance Computers II written by Ernst Heinrich Hirschel and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Der Band enthält den Abschlußbericht des DFG-Schwerpunktprogramms "Flußsimulation mit Höchstleistungsrechnern". Es führt die Arbeiten fort, die schon als Band 38 in der Reihe "Notes on Numerical Fluid Mechanics" erschienen sind.Work is reported, which was sponsored by the Deutsche Forschungsgemeinschaft from 1993 to 1995. Scientists from numerical mathematics, fluid mechanics, aerodynamics, and turbomachinery present their work on flow simulation with massively parallel systems, on the direct and large-eddy simulation of turbulence, and on mathematical foundations, general solution techniques and applications. Results are reported from benchmark computations of laminar flow around a cylinder, in which seventeen groups participated.
Book Synopsis Numerical Treatment of Coupled Systems by : Wolfgang Hackbusch
Download or read book Numerical Treatment of Coupled Systems written by Wolfgang Hackbusch and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: The coupling considered in this volume may be of physical or numerical nature. Examples of the first kind are the solid-fluid interactions, microelectronic systems, and the coupled modelling in groundwater flow. Examples of the latter kind are the domain or subspace decomposition, the local defect correction method, and the very important FEM-BEM coupling.
Book Synopsis Analysis of Systems of Conservation Laws by : Heinrich Freistuhler
Download or read book Analysis of Systems of Conservation Laws written by Heinrich Freistuhler and published by CRC Press. This book was released on 1998-12-30 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems of partial differential equations reflecting conservation laws hold significant relevance to a variety of theoretical and practical applications, including compressible fluid flow, electromagnetism, elasticity theory, and other areas of continuum mechanics. This field of nonlinear analysis is currently experiencing a marked increase in successful research activity. The EU-TMR network "Hyperbolic Systems of Conservation Laws held a summer program offering short courses on the Analysis of Systems of Conservation Laws. This book contains five of the self-contained short courses presented during this program by experts of international reputation. These courses, which address solutions to hyperbolic systems by the front tracking method, non-strictly hyperbolic conservation laws, hyperbolic-elliptic coupled systems, hyperbolic relaxation problems, the stability of nonlinear waves in viscous media and numerics, and more, represent the state of the art of most central aspects of the field.
Book Synopsis Weak and Measure-Valued Solutions to Evolutionary PDEs by : J. Malek
Download or read book Weak and Measure-Valued Solutions to Evolutionary PDEs written by J. Malek and published by CRC Press. This book was released on 2019-08-16 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a concise treatment of the theory of nonlinear evolutionary partial differential equations. It provides a rigorous analysis of non-Newtonian fluids, and outlines its results for applications in physics, biology, and mechanical engineering.
