Numerical Analysis Of Partial Differential Equations


Numerical Analysis Of Partial Differential Equations
Author: Vitoriano Ruas
Publisher: John Wiley & Sons
ISBN: 1119111358
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Numerical Methods For Partial Differential Equations

Numerical Analysis Of Partial Differential Equations by Vitoriano Ruas, Numerical Methods For Partial Differential Equations Books available in PDF, EPUB, Mobi Format. Download Numerical Methods For Partial Differential Equations books, Numerical Methods for Partial Differential Equations: An Introduction Vitoriano Ruas, Sorbonne Universités, UPMC - Université Paris 6, France A comprehensive overview of techniques for the computational solution of PDE's Numerical Methods for Partial Differential Equations: An Introduction covers the three most popular methods for solving partial differential equations: the finite difference method, the finite element method and the finite volume method. The book combines clear descriptions of the three methods, their reliability, and practical implementation aspects. Justifications for why numerical methods for the main classes of PDE's work or not, or how well they work, are supplied and exemplified. Aimed primarily at students of Engineering, Mathematics, Computer Science, Physics and Chemistry among others this book offers a substantial insight into the principles numerical methods in this class of problems are based upon. The book can also be used as a reference for research work on numerical methods for PDE’s. Key features: • A balanced emphasis is given to both practical considerations and a rigorous mathematical treatment. • The reliability analyses for the three methods are carried out in a unified framework and in a structured and visible manner, for the basic types of PDE's. • Special attention is given to low order methods, as practitioner's overwhelming default options for everyday use. • New techniques are employed to derive known results, thereby simplifying their proof. • Supplementary material is available from a companion website.


Numerical Analysis of Partial Differential Equations
Language: en
Pages: 512
Authors: S. H. Lui, Shaun H. Lui
Categories: Mathematics
Type: BOOK - Published: 2011-08-30 - Publisher: John Wiley & Sons
A balanced guide to the essential techniques for solving elliptic partial differential equations Numerical Analysis of Partial Differential Equations provides a comprehensive, self-contained treatment of the quantitative methods used to solve elliptic partial differential equations (PDEs), with a focus on the efficiency as well as the error of the presented
Numerical Analysis of Partial Differential Equations Using Maple and MATLAB
Language: en
Pages: 162
Authors: Martin J. Gander, Felix Kwok
Categories: Science
Type: BOOK - Published: 2018-08-06 - Publisher: SIAM
This book provides an elementary yet comprehensive introduction to the numerical solution of partial differential equations (PDEs). Used to model important phenomena, such as the heating of apartments and the behavior of electromagnetic waves, these equations have applications in engineering and the life sciences, and most can only be solved
Numerical Methods for Partial Differential Equations
Language: en
Pages: 300
Authors: Vitoriano Ruas
Categories: Technology & Engineering
Type: BOOK - Published: 2016-08-22 - Publisher: John Wiley & Sons
Numerical Methods for Partial Differential Equations: An Introduction Vitoriano Ruas, Sorbonne Universités, UPMC - Université Paris 6, France A comprehensive overview of techniques for the computational solution of PDE's Numerical Methods for Partial Differential Equations: An Introduction covers the three most popular methods for solving partial differential equations: the finite
Partielle Differentialgleichungen und numerische Methoden
Language: de
Pages: 272
Authors: Stig Larsson, Vidar Thomee
Categories: Mathematics
Type: BOOK - Published: 2005-12-06 - Publisher: Springer-Verlag
Das Buch ist für Studenten der angewandten Mathematik und der Ingenieurwissenschaften auf Vordiplomniveau geeignet. Der Schwerpunkt liegt auf der Verbindung der Theorie linearer partieller Differentialgleichungen mit der Theorie finiter Differenzenverfahren und der Theorie der Methoden finiter Elemente. Für jede Klasse partieller Differentialgleichungen, d.h. elliptische, parabolische und hyperbolische, enthält der Text
A First Course in the Numerical Analysis of Differential Equations
Language: en
Pages: 459
Authors: A. Iserles
Categories: Mathematics
Type: BOOK - Published: 2009 - Publisher: Cambridge University Press
lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.
Numerische Behandlung partieller Differentialgleichungen
Language: de
Pages: 572
Authors: Christian Großmann, Hans-Görg Roos
Categories: Mathematics
Type: BOOK - Published: 2005-11-25 - Publisher: Springer-Verlag
Mathematiker, Naturwissenschaftler und Ingenieure erhalten mit diesem Lehrbuch eine Einführung in die numerische Behandlung partieller Differentialgleichungen. Diskutiert werden die grundlegenden Verfahren - Finite Differenzen, Finite Volumen und Finite Elemente - für die wesentlichen Typen partieller Differentialgleichungen: elliptische, parabolische und hyperbolische Gleichungen. Einbezogen werden auch moderne Methoden zur Lösung der diskreten
A First Course in the Numerical Analysis of Differential Equations
Language: en
Pages: 378
Authors: A. Iserles
Categories: Mathematics
Type: BOOK - Published: 1996-01 - Publisher:
Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of
Numerical Solution of Partial Differential Equations
Language: en
Pages: 337
Authors: Gordon D. Smith, Gordon D.. Smith, Smith, Gordon Dennis Smith
Categories: Mathematics
Type: BOOK - Published: 1985 - Publisher: Oxford University Press
Substantially revised, this authoritative study covers the standard finite difference methods of parabolic, hyperbolic, and elliptic equations, and includes the concomitant theoretical work on consistency, stability, and convergence. The new edition includes revised and greatly expanded sections on stability based on the Lax-Richtmeyer definition, the application of Pade approximants to
Partial Differential Equations with Numerical Methods
Language: en
Pages: 262
Authors: Stig Larsson, Vidar Thomee
Categories: Mathematics
Type: BOOK - Published: 2008-12-05 - Publisher: Springer Science & Business Media
The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite
Numerical Methods for Nonlinear Partial Differential Equations
Language: en
Pages: 393
Authors: Sören Bartels
Categories: Mathematics
Type: BOOK - Published: 2015-01-19 - Publisher: Springer
The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations.