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The Numerical Solution of Ordinary and Partial Differential Equations

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John Wiley & Sons, 08/ago/2005 - 352 pagine
Learn to write programs to solve ordinary and partial differential equations

The Second Edition of this popular text provides an insightful introduction to the use of finite difference and finite element methods for the computational solution of ordinary and partial differential equations. Readers gain a thorough understanding of the theory underlying themethods presented in the text. The author emphasizes the practical steps involved in implementing the methods, culminating in readers learning how to write programs using FORTRAN90 and MATLAB(r) to solve ordinary and partial differential equations.

The book begins with a review of direct methods for the solution of linear systems, with an emphasis on the special features of the linear systems that arise when differential equations are solved. The following four chapters introduce and analyze the more commonly used finite difference methods for solving a variety of problems, including ordinary and partial differential equations and initial value and boundary value problems. The techniques presented in these chapters, with the aid of carefully developed exercises and numerical examples, can be easilymastered by readers.

The final chapter of the text presents the basic theory underlying the finite element method. Following the guidance offered in this chapter, readers gain a solid understanding of the method and discover how to use it to solve many problems.

A special feature of the Second Edition is Appendix A, which describes a finite element program, PDE2D, developed by the author. Readers discover how PDE2D can be used to solve difficult partial differential equation problems, including nonlinear time-dependent and steady-state systems, and linear eigenvalue systems in 1D intervals, general 2D regions, and a wide range of simple 3D regions. The software itself is available to instructors who adopt the text to share with their students.
  

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Pagine selezionate

Altre edizioni - Visualizza tutto

The numerical solution of ordinary and partial differential equations
The numerical solution of ordinary and partial differential equations
Granville Sewell
Visualizzazione frammento - 1988
The Numerical Solution of Ordinary and Partial Differential Equations
The Numerical Solution of Ordinary and Partial Differential Equations
Granville Sewell
Anteprima non disponibile - 2005
The Numerical Solution of Ordinary and Partial Differential Equations
The Numerical Solution of Ordinary and Partial Differential Equations
Granville Sewell
Anteprima non disponibile - 2005

Parole e frasi comuni

3D problems absolute value approximate solution backward difference method band matrix band solver boundary conditions boundary value problem calculated collocation method collocation points constant CONTINUE convergence cubic Hermite defined definition diagonal diagonal-dominant difference equation diffusion dy dz ERMAX Euler exact solution explicit method find finite difference method finite element method first derivatives first-order fixed FORTRAN FORTRAN Program fourth-order Galerkin method Gaussian elimination global grid half-bandwidth IMPLICIT DOUBLE INPUT integrals inverse power method Jacobian linear system LU decomposition MAXIMUM ERROR multistep method nonlinear nonsymmetric nonzero NSUBS OMEGA ooo ooo ooo ordinary differential equation PARAMETER partial differential equation PDE2D pivoting polynomial positive-definite processors region RETURN END satisfies Section shown in Figure smallest eigenvalue solve stability starting values steady-state step stepsize stiff subroutine successive overrelaxation symmetric Table Theorem time-dependent tk+1 Tmax trial functions triangle triangular tridiagonal truncation error XPTS(K zero

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Citazioni da pagine web

JSTOR: The Numerical Solution of Ordinary and Partial Differential ...
The Numerical Solution of Ordinary and Partial Differential Equations. By Granville Sewell. Academic Press, Boston, 1988. xii + 271 pp. $39.95. ...
links.jstor.org/ sici?sici=0036-1445(198912)31%3A4%3C695%3ATNSOOA%3E2.0.CO%3B2-H

The Numerical Solution of Ordinary and Partial Differential Equations
Congress Cataloging-in-Publication Data:. Sewell, Granville. The numerical solution of ordinary and partial differential equations. /. Granville Sewell.- ...
doi.wiley.com/ 10.1002/ 0471742015.fmatter

The numerical solution of ordinary and partial differential ...
The numerical solution of ordinary and partial differential equations, 2d ed from scitech Book News in Reference provided free by Find Articles.
findarticles.com/ p/ articles/ mi_m0QLT/ is_2005_Sept/ ai_n15782379

Math 4Q03
Sewell, G. 1988 The Numerical solution of Ordinary and Partial Differential equations. Academic Press (QA 372.S4148). ...
www.math.mcmaster.ca/ kevla/ teaching/ 4q3/ 4q3-00/ 4q3-00.html

Basic Library List-Numerical Analysis
The Numerical Solution of Ordinary and Partial Differential Equations New York, NY: Academic Press, 1988. * Smith, gd Numerical Solution of Partial ...
www.maa.org/ bll/ numanalysis.htm

Can “ANYTHING” Happen in an Open System?
“The Numerical Solution of Ordinary and Partial Differential Equations”. Granville Sewell. John Wiley & Sons, 2005. The partial differential equations that ...
www.math.utep.edu/ Faculty/ sewell/ articles/ appendixd.pdf

Student Review: Something old, something new - 22 April 1989 - New ...
Granville Sewell's The Numerical Solution of Ordinary and Partial Differential Equations is much more fascinating than its blah title would suggest. ...
www.newscientist.com/ article/ mg12216614.800-student-review-something-old-something-new-.html

Infoscience: Record #25476: The numerical solution of ordinary and ...
Accepted Submitted, Work produced at EPFL, Publicly available Restricted access. BOOK. The numerical solution of ordinary and partial differential equations ...
infoscience.epfl.ch/ record/ 25476

Mathematics of Computation
Granville Sewell, The numerical solution of ordinary and partial differential equations, Academic Press, San Diego, California, 1988. MR 89i:65001 ...
www.ams.org/ mcom/ 1999-68-226/ S0025-5718-99-01027-3/ home.html

granville sewell libri - I Libri dell'autore: Granville Sewell ...
The Numerical Solution of Ordinary and Partial Differential Equations · The Numerical Solution of Ordinary and Partial Differential Equations ...
www.libreriauniversitaria.it/ books-author_granville+sewell-granville+sewell.htm

Informazioni sull'autore (2005)

GRANVILLE SEWELL, PHD, is Visiting Professor of Mathematics at Texas A&M University and Professor of Mathematics at the University of Texas at El Paso. He is the principal developer of PDE2D, a general-purpose partial differential equation solver. Dr. Sewell has written three books and published more than fifty articles on numerical methods and applications.

Informazioni bibliografiche

QR code for The Numerical Solution of Ordinary and Partial Differential Equations
TitoloThe Numerical Solution of Ordinary and Partial Differential Equations
Volume 75 di Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
AutoreGranville Sewell
Edizione2
EditoreJohn Wiley & Sons, 2005
ISBN0471742007, 9780471742005
Lunghezza352 pagine
  
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