Finite Volumes For Complex Applications Vii Elliptic Parabolic And Hyperbolic Problems

Download Finite Volumes For Complex Applications Vii Elliptic Parabolic And Hyperbolic Problems full books in PDF, epub, and Kindle. Read online Finite Volumes For Complex Applications Vii Elliptic Parabolic And Hyperbolic Problems ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Finite Volumes for Complex Applications X—Volume 1, Elliptic and Parabolic Problems

Author : Emmanuel Franck
Publisher : Springer Nature
ISBN 13 : 3031408640
Total Pages : 381 pages
Book Rating : 4.0/5 (314 download)

DOWNLOAD NOW!

Book Synopsis Finite Volumes for Complex Applications X—Volume 1, Elliptic and Parabolic Problems by : Emmanuel Franck

Download or read book Finite Volumes for Complex Applications X—Volume 1, Elliptic and Parabolic Problems written by Emmanuel Franck and published by Springer Nature. This book was released on 2023-11-01 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises the first part of the proceedings of the 10th International Conference on Finite Volumes for Complex Applications, FVCA, held in Strasbourg, France, during October 30 to November 3, 2023. The Finite Volume method, and several of its variants, is a spatial discretization technique for partial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method. Many finite volume methods are also built to preserve some properties of the continuous equations, including maximum principles, dissipativity, monotone decay of the free energy, asymptotic stability, or stationary solutions. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. In recent years, the efficient implementation of these methods in numerical software packages, more specifically to be used in supercomputers, has drawn some attention. This volume contains all invited papers, as well as the contributed papers focusing on finite volume schemes for elliptic and parabolic problems. They include structure-preserving schemes, convergence proofs, and error estimates for problems governed by elliptic and parabolic partial differential equations. The second volume is focused on finite volume methods for hyperbolic and related problems, such as methods compatible with the low Mach number limit or able to exactly preserve steady solutions, the development and analysis of high order methods, or the discretization of kinetic equations.

Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems

Author : Emmanuel Franck
Publisher : Springer Nature
ISBN 13 : 3031408608
Total Pages : 296 pages
Book Rating : 4.0/5 (314 download)

DOWNLOAD NOW!

Book Synopsis Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems by : Emmanuel Franck

Download or read book Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems written by Emmanuel Franck and published by Springer Nature. This book was released on 2023-10-12 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises the second part of the proceedings of the 10th International Conference on Finite Volumes for Complex Applications, FVCA, held in Strasbourg, France, during October 30 to November 3, 2023. The Finite Volume method, and several of its variants, is a spatial discretization technique for partial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method. Many finite volume methods are also built to preserve some properties of the continuous equations, including maximum principles, dissipativity, monotone decay of the free energy, asymptotic stability, or stationary solutions. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. In recent years, the efficient implementation of these methods in numerical software packages, more specifically to be used in supercomputers, has drawn some attention. The first volume contains all invited papers, as well as the contributed papers focusing on finite volume schemes for elliptic and parabolic problems. They include structure-preserving schemes, convergence proofs, and error estimates for problems governed by elliptic and parabolic partial differential equations. This volume is focused on finite volume methods for hyperbolic and related problems, such as methods compatible with the low Mach number limit or able to exactly preserve steady solutions, the development and analysis of high order methods, or the discretization of kinetic equations.

Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems

Author : Jürgen Fuhrmann
Publisher : Springer
ISBN 13 : 3319055917
Total Pages : 499 pages
Book Rating : 4.3/5 (19 download)

DOWNLOAD NOW!

Book Synopsis Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems by : Jürgen Fuhrmann

Download or read book Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems written by Jürgen Fuhrmann and published by Springer. This book was released on 2014-05-16 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: The methods considered in the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) have properties which offer distinct advantages for a number of applications. The second volume of the proceedings covers reviewed contributions reporting successful applications in the fields of fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory and other topics. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. Researchers, PhD and masters level students in numerical analysis, scientific computing and related fields such as partial differential equations will find this volume useful, as will engineers working in numerical modeling and simulations.

Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems

Author : Clément Cancès
Publisher :
ISBN 13 : 9783319573953
Total Pages : 559 pages
Book Rating : 4.5/5 (739 download)

DOWNLOAD NOW!

Book Synopsis Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems by : Clément Cancès

Download or read book Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems written by Clément Cancès and published by . This book was released on 2017 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finite Volumes for Complex Applications VII

Author : Jürgen Fuhrmann
Publisher : Springer
ISBN 13 : 9783319064024
Total Pages : 900 pages
Book Rating : 4.0/5 (64 download)

DOWNLOAD NOW!

Book Synopsis Finite Volumes for Complex Applications VII by : Jürgen Fuhrmann

Download or read book Finite Volumes for Complex Applications VII written by Jürgen Fuhrmann and published by Springer. This book was released on 2014-05-28 with total page 900 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume of the proceedings of the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) covers topics that include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. It collects together the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Altogether, a rather comprehensive overview is given of the state of the art in the field. The methods considered in the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) have properties which offer distinct advantages for a number of applications. The second volume of the proceedings covers reviewed contributions reporting successful applications in the fields of fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory and other topics. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. Researchers, PhD and masters level students in numerical analysis, scientific computing and related fields such as partial differential equations will find this volume useful, as will engineers working in numerical modeling and simulations.

Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects

Author : Jürgen Fuhrmann
Publisher : Springer
ISBN 13 : 3319056840
Total Pages : 450 pages
Book Rating : 4.3/5 (19 download)

DOWNLOAD NOW!

Book Synopsis Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects by : Jürgen Fuhrmann

Download or read book Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects written by Jürgen Fuhrmann and published by Springer. This book was released on 2014-05-12 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume of the proceedings of the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) covers topics that include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. It collects together the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Altogether, a rather comprehensive overview is given of the state of the art in the field. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. Researchers, PhD and masters level students in numerical analysis, scientific computing and related fields such as partial differential equations will find this volume useful, as will engineers working in numerical modeling and simulations.

Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

Author : Robert Klöfkorn
Publisher : Springer Nature
ISBN 13 : 3030436519
Total Pages : 727 pages
Book Rating : 4.0/5 (34 download)

DOWNLOAD NOW!

Book Synopsis Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples by : Robert Klöfkorn

Download or read book Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples written by Robert Klöfkorn and published by Springer Nature. This book was released on 2020-06-09 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the 9th conference on "Finite Volumes for Complex Applications" (Bergen, June 2020) are structured in two volumes. The first volume collects the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Topics covered include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. Altogether, a rather comprehensive overview is given on the state of the art in the field. The properties of the methods considered in the conference give them distinguished advantages for a number of applications. These include fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory, carbon capture utilization and storage, geothermal energy and further topics. The second volume covers reviewed contributions reporting successful applications of finite volume and related methods in these fields. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability, making the finite volume methods compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is a valuable resource for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.

Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects

Author : Clément Cancès
Publisher : Springer
ISBN 13 : 3319573977
Total Pages : 457 pages
Book Rating : 4.3/5 (195 download)

DOWNLOAD NOW!

Book Synopsis Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects by : Clément Cancès

Download or read book Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects written by Clément Cancès and published by Springer. This book was released on 2017-05-23 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume of the proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017) covers various topics including convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. It collects together the focused invited papers comparing advanced numerical methods for Stokes and Navier–Stokes equations on a benchmark, as well as reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods, offering a comprehensive overview of the state of the art in the field. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asy mptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is a valuable resource for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.

Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems

Author : Clément Cancès
Publisher : Springer
ISBN 13 : 3319573942
Total Pages : 530 pages
Book Rating : 4.3/5 (195 download)

DOWNLOAD NOW!

Book Synopsis Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems by : Clément Cancès

Download or read book Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems written by Clément Cancès and published by Springer. This book was released on 2017-05-22 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second volume of proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017). It includes reviewed contributions reporting successful applications in the fields of fluid dynamics, computational geosciences, structural analysis, nuclear physics, semiconductor theory and other topics. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete l evel. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is useful for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as for engineers working in numerical modeling and simulations.

Elliptic, Hyperbolic And Mixed Complex Equations With Parabolic Degeneracy: Including Tricomi-bers And Tricomi-frankl-rassias Problems

Download Elliptic, Hyperbolic And Mixed Complex Equations With Parabolic Degeneracy: Including Tricomi-bers And Tricomi-frankl-rassias Problems PDF Online Free

Author : Guo Chun Wen
Publisher : World Scientific
ISBN 13 : 981447228X
Total Pages : 453 pages
Book Rating : 4.8/5 (144 download)

DOWNLOAD NOW!

Book Synopsis Elliptic, Hyperbolic And Mixed Complex Equations With Parabolic Degeneracy: Including Tricomi-bers And Tricomi-frankl-rassias Problems by : Guo Chun Wen

Download or read book Elliptic, Hyperbolic And Mixed Complex Equations With Parabolic Degeneracy: Including Tricomi-bers And Tricomi-frankl-rassias Problems written by Guo Chun Wen and published by World Scientific. This book was released on 2007-12-13 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the recent half-century, many mathematicians have investigated various problems on several equations of mixed type and obtained interesting results, with important applications to gas dynamics. However, the Tricomi problem of general mixed type equations of second order with parabolic degeneracy has not been completely solved, particularly the Tricomi and Frankl problems for general Chaplygin equation in multiply connected domains posed by L Bers, and the existence, regularity of solutions of the above problems for mixed equations with non-smooth degenerate curve in several domains posed by J M Rassias.The method revealed in this book is unlike any other, in which the hyperbolic number and hyperbolic complex function in hyperbolic domains, and the complex number and complex function in elliptic domains are used. The corresponding problems for first order complex equations with singular coefficients are first discussed, and then the problems for second order complex equations are considered, where we pose the new partial derivative notations and complex analytic methods such that the forms of the above first order complex equations in hyperbolic and elliptic domains are wholly identical. In the meantime, the estimates of solutions for the above problems are obtained, hence many open problems including the above Tricomi- Bers and Tricomi-Frankl-Rassias problems can be solved.

Finite Volume Methods for Hyperbolic Problems

Author : Randall J. LeVeque
Publisher : Cambridge University Press
ISBN 13 : 1139434187
Total Pages : 582 pages
Book Rating : 4.1/5 (394 download)

DOWNLOAD NOW!

Book Synopsis Finite Volume Methods for Hyperbolic Problems by : Randall J. LeVeque

Download or read book Finite Volume Methods for Hyperbolic Problems written by Randall J. LeVeque and published by Cambridge University Press. This book was released on 2002-08-26 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Hyperbolic Problems

Author : Song Jiang
Publisher : World Scientific
ISBN 13 : 9814417092
Total Pages : 793 pages
Book Rating : 4.8/5 (144 download)

DOWNLOAD NOW!

Book Synopsis Hyperbolic Problems by : Song Jiang

Download or read book Hyperbolic Problems written by Song Jiang and published by World Scientific. This book was released on 2012 with total page 793 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 OC Hyperbolic Partial Differential EquationsOCO. It is aimed at mathematicians, researchers in applied sciences and graduate students."

Finite Volumes for Complex Applications III

Author : Raphaèle Herbin
Publisher : Elsevier Science & Technology
ISBN 13 :
Total Pages : 860 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Finite Volumes for Complex Applications III by : Raphaèle Herbin

Download or read book Finite Volumes for Complex Applications III written by Raphaèle Herbin and published by Elsevier Science & Technology. This book was released on 2002 with total page 860 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific computing, which involves the analysis of complex systems in real applications with numerical simulations, is becoming an important field of research in itself, in relation to theoretical investigations and physical experiments. In many cases, the underlying mathematical models consist of large systems of partial differential equations, which have to be solved with high accuracy and efficiency. Among the successful methods, in particular for discretizations on unstructured grids, are the Finite Volume schemes. This publication contains the contributions presented at the third Symposium on Finite Volumes for Complex Applications, held in Porquerolles in June 2002. After a critical review of the submitted papers, 96 papers by authors from more than 20 countries are presented in this volume. The subject of these papers ranges from theoretical and numerical results such as theoretical foundation and validation, adaptivity in space and time, higher order discretization and parallelization, to physical,applications, such as multiphase flow and flows through porous media, magnetohydrodynamics, reacting and turbulent flows, elastic structures, granular avalanches, and image processing.

Finite Volumes For Complex Applications VIII, volumes 1 and 2

Author : Clément Cancès
Publisher : Springer
ISBN 13 : 9783319588186
Total Pages : pages
Book Rating : 4.5/5 (881 download)

DOWNLOAD NOW!

Book Synopsis Finite Volumes For Complex Applications VIII, volumes 1 and 2 by : Clément Cancès

Download or read book Finite Volumes For Complex Applications VIII, volumes 1 and 2 written by Clément Cancès and published by Springer. This book was released on 2017-05-24 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This set includes the first and second volume of the proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017) that collect together focused invited papers, as well as reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods, offering a comprehensive overview of the state of the art in the field. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The set of both volumes is a valuable resource for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.

Hyperbolic Problems

Author : Michael Fey
Publisher : Springer Science & Business Media
ISBN 13 : 9783764360801
Total Pages : 530 pages
Book Rating : 4.3/5 (68 download)

DOWNLOAD NOW!

Book Synopsis Hyperbolic Problems by : Michael Fey

Download or read book Hyperbolic Problems written by Michael Fey and published by Springer Science & Business Media. This book was released on 1999 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems

Author : Gershon Kresin
Publisher : American Mathematical Soc.
ISBN 13 : 0821889818
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems by : Gershon Kresin

Download or read book Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems written by Gershon Kresin and published by American Mathematical Soc.. This book was released on 2012-08-15 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this book is to present results pertaining to various versions of the maximum principle for elliptic and parabolic systems of arbitrary order. In particular, the authors present necessary and sufficient conditions for validity of the classical maximum modulus principles for systems of second order and obtain sharp constants in inequalities of Miranda-Agmon type and in many other inequalities of a similar nature. Somewhat related to this topic are explicit formulas for the norms and the essential norms of boundary integral operators. The proofs are based on a unified approach using, on one hand, representations of the norms of matrix-valued integral operators whose target spaces are linear and finite dimensional, and, on the other hand, on solving certain finite dimensional optimization problems. This book reflects results obtained by the authors, and can be useful to research mathematicians and graduate students interested in partial differential equations.

Finite Volumes for Complex Applications

Author : Roland Vilsmeier
Publisher : Hermes Science Publications
ISBN 13 : 9782746200579
Total Pages : 889 pages
Book Rating : 4.2/5 (5 download)

DOWNLOAD NOW!

Book Synopsis Finite Volumes for Complex Applications by : Roland Vilsmeier

Download or read book Finite Volumes for Complex Applications written by Roland Vilsmeier and published by Hermes Science Publications. This book was released on 1999 with total page 889 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Volume methods are methods directly related to the numerical solution of conservation laws. Systems of such conservation laws govern wide fields of physics and the efficiency of corresponding solution methods is an essential requirement from basic research and industry. Since the efficiency of any method must be measured by the quality of the result compared to the computational cost to spend for, corresponding developments are widely spread, ranging from very fundamental numerical analysis up to the efficient use of modern computer hardware. Although in the past the numerical methodology has made large progresses, many problems and difficulties remain, requiring further intensive research. The present proceedings summarise the contributions to be presented at the second international symposium on Finite Volumes for Complex Applications - Problems and Perspectives. The first symposium of this series was held summer 1996 at INSA de Rouen in France. Based on the success of this first conference, the symposium in Duisburg has again received an unexpected high attention in the numeric community. After a critical review of the submitted contributions, 98 papers by authors from 20 countries are presented in this volume. In a rough estimation, about half of the contributions can be assigned to analysis and numerics of different methods whereas the other half is essentially concerned with application and computational aspects of methods.