Fourier Analysis Of Numerical Approximations Of Hyperbolic Equations
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Fourier Analysis Of Numerical Approximations Of Hyperbolic Equations
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Author : R. Vichnevetsky
language : en
Publisher: SIAM
Release Date : 1982-01-01
Fourier Analysis Of Numerical Approximations Of Hyperbolic Equations written by R. Vichnevetsky and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-01-01 with Technology & Engineering categories.
This book provides useful reference material for those concerned with the use of Fourier analysis and computational fluid dynamics.
Methods Of Fourier Analysis And Approximation Theory
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Author : Michael Ruzhansky
language : en
Publisher: Birkhäuser
Release Date : 2016-03-11
Methods Of Fourier Analysis And Approximation Theory written by Michael Ruzhansky and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-11 with Mathematics categories.
Different facets of interplay between harmonic analysis and approximation theory are covered in this volume. The topics included are Fourier analysis, function spaces, optimization theory, partial differential equations, and their links to modern developments in the approximation theory. The articles of this collection were originated from two events. The first event took place during the 9th ISAAC Congress in Krakow, Poland, 5th-9th August 2013, at the section “Approximation Theory and Fourier Analysis”. The second event was the conference on Fourier Analysis and Approximation Theory in the Centre de Recerca Matemàtica (CRM), Barcelona, during 4th-8th November 2013, organized by the editors of this volume. All articles selected to be part of this collection were carefully reviewed.
Fourier Analysis Of Numerical Approximations Of Hyperbolic Equations
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Author : R. Vichnevetsky
language : en
Publisher: SIAM
Release Date : 1982-01-01
Fourier Analysis Of Numerical Approximations Of Hyperbolic Equations written by R. Vichnevetsky and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-01-01 with Technology & Engineering categories.
There has been a growing interest in the use of Fourier analysis to examine questions of accuracy and stability of numerical methods for solving partial differential equations. This kind of analysis can produce particularly attractive and useful results for hyperbolic equations. This book provides useful reference material for those concerned with computational fluid dynamics: for physicists and engineers who work with computers in the analysis of problems in such diverse fields as hydraulics, gas dynamics, plasma physics, numerical weather prediction, and transport processes in engineering, and who need to understand the implications of the approximations they use; and for applied mathematicians concerned with the more theoretical aspects of these computations.
Advanced Numerical Approximation Of Nonlinear Hyperbolic Equations
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Author : B. Cockburn
language : en
Publisher: C.I.M.E. Foundation Subseries
Release Date : 1998-11-18
Advanced Numerical Approximation Of Nonlinear Hyperbolic Equations written by B. Cockburn and has been published by C.I.M.E. Foundation Subseries this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-18 with Computers categories.
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.
Fourier Analysis
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Author : Michael Ruzhansky
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-01-18
Fourier Analysis written by Michael Ruzhansky 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 2014-01-18 with Mathematics categories.
This book is devoted to the broad field of Fourier analysis and its applications to several areas of mathematics, including problems in the theory of pseudo-differential operators, partial differential equations, and time-frequency analysis. It is based on lectures given at the international conference “Fourier Analysis and Pseudo-Differential Operators,” June 25–30, 2012, at Aalto University, Finland. This collection of 20 refereed articles is based on selected talks and presents the latest advances in the field. The conference was a satellite meeting of the 6th European Congress of Mathematics, which took place in Krakow in July 2012; it was also the 6th meeting in the series “Fourier Analysis and Partial Differential Equations.”
Fourier Analysis And Approximation
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Author : Paul Butzer
language : en
Publisher: Birkhäuser
Release Date : 1971-01-01
Fourier Analysis And Approximation written by Paul Butzer and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-01-01 with Mathematics categories.
At the international conference on 'Harmonic Analysis and Integral Transforms', conducted by one of the authors at the Mathematical Research Institute in Oberwolfach (Black Forest) in August 1965, it was felt that there was a real need for a book on Fourier analysis stressing (i) parallel treatment of Fourier series and Fourier trans forms from a transform point of view, (ii) treatment of Fourier transforms in LP(lRn)_ space not only for p = 1 and p = 2, (iii) classical solution of partial differential equations with completely rigorous proofs, (iv) theory of singular integrals of convolu tion type, (v) applications to approximation theory including saturation theory, (vi) multiplier theory, (vii) Hilbert transforms, Riesz fractional integrals, Bessel potentials, (viii) Fourier transform methods on locally compact groups. This study aims to consider these aspects, presenting a systematic treatment of Fourier analysis on the circle as well as on the infinite line, and of those areas of approximation theory which are in some way or other related thereto. A second volume is in preparation which goes beyond the one-dimensional theory presented here to cover the subject for functions of several variables. Approximately a half of this first volume deals with the theories of Fourier series and of Fourier integrals from a transform point of view.
Numerical Time Dependent Partial Differential Equations For Scientists And Engineers
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Author : Moysey Brio
language : en
Publisher: Academic Press
Release Date : 2010-09-21
Numerical Time Dependent Partial Differential Equations For Scientists And Engineers written by Moysey Brio and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-21 with Mathematics categories.
It is the first text that in addition to standard convergence theory treats other necessary ingredients for successful numerical simulations of physical systems encountered by every practitioner. The book is aimed at users with interests ranging from application modeling to numerical analysis and scientific software development. It is strongly influenced by the authors research in in space physics, electrical and optical engineering, applied mathematics, numerical analysis and professional software development. The material is based on a year-long graduate course taught at the University of Arizona since 1989. The book covers the first two-semesters of a three semester series. The second semester is based on a semester-long project, while the third semester requirement consists of a particular methods course in specific disciplines like computational fluid dynamics, finite element method in mechanical engineering, computational physics, biology, chemistry, photonics, etc. The first three chapters focus on basic properties of partial differential equations, including analysis of the dispersion relation, symmetries, particular solutions and instabilities of the PDEs; methods of discretization and convergence theory for initial value problems. The goal is to progress from observations of simple numerical artifacts like diffusion, damping, dispersion, and anisotropies to their analysis and management technique, as it is not always possible to completely eliminate them. In the second part of the book we cover topics for which there are only sporadic theoretical results, while they are an integral part and often the most important part for successful numerical simulation. We adopt a more heuristic and practical approach using numerical methods of investigation and validation. The aim is teach students subtle key issues in order to separate physics from numerics. The following topics are addressed: Implementation of transparent and absorbing boundary conditions; Practical stability analysis in the presence of the boundaries and interfaces; Treatment of problems with different temporal/spatial scales either explicit or implicit; preservation of symmetries and additional constraints; physical regularization of singularities; resolution enhancement using adaptive mesh refinement and moving meshes. Self contained presentation of key issues in successful numerical simulation Accessible to scientists and engineers with diverse background Provides analysis of the dispersion relation, symmetries, particular solutions and instabilities of the partial differential equations
Partial Differential Equations Of Hyperbolic Type And Applications
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Author : Giuseppe Geymonat
language : en
Publisher: World Scientific
Release Date : 1987
Partial Differential Equations Of Hyperbolic Type And Applications written by Giuseppe Geymonat and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
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.
Fourier Analysis And Approximation
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Author :
language : en
Publisher: Academic Press
Release Date : 2011-09-21
Fourier Analysis And Approximation written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-21 with Mathematics categories.
Fourier Analysis and Approximation
On High Order Approximations Of Hyperbolic Partial Differential Equations By A Fourier Method
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Author : Bengt Fornberg
language : en
Publisher:
Release Date : 1972
On High Order Approximations Of Hyperbolic Partial Differential Equations By A Fourier Method written by Bengt Fornberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.