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" Perturbation methods, bifurcation theory, and computer algebra / "


Document Type : BL
Record Number : 968224
Doc. No : b722594
Main Entry : Rand, R. H., (Richard H.)
Title & Author : Perturbation methods, bifurcation theory, and computer algebra /\ Richard H. Rand, Dieter Armbruster.
Publication Statement : New York :: Springer-Verlag,, ©1987.
Series Statement : Applied mathematical sciences ;; v. 65
Page. NO : ix, 243 pages :: illustrations ;; 24 cm.
ISBN : 0387965890
: : 3540965890
: : 9780387965895
: : 9783540965893
Bibliographies/Indexes : Includes bibliographical references (pages 235-238) and index.
Contents : Lindstedt's Method -- Center Manifolds -- Normal Forms -- The Two Variable Expansion Method -- Averaging -- Lie Transforms -- Liapunov-Schmidt Reduction -- Introduction to MACSYMA -- References -- Index.
Abstract : Perturbation methods have always been an important tool for treating nonlinear differential equations. Now the drudgery associated with them has been eliminated! This book offers computer algebra (MACSYMA) programs which implement the most popular perturbation methods. Not only does this avoid the errors associated with hand computation, but the increase in efficiency permits more complicated problems to be tackled. This book is useful both for the beginner learning perturbation methods for the first time, as well as for the researcher. Methods covered include: Lindstedt's method, center manifolds, normal forms, two variable expansion method (method of multiple scales), averaging, Lie transforms and Liapunov-Schmidt reduction. For each method the book includes an introduction and some example problems solved both by hand and by machine. The examples feature common bifurcations such as the pitchfork and the Hopf. The MACSYMA code for each method is given and suggested exercises are provided at the end of each Chapter. An Appendix offers a brief introduction to MACSYMA.
Subject : Algebra-- Data processing.
Subject : Bifurcation theory.
Subject : Perturbation (Mathematics)
Subject : Bifurcation theory.
Subject : Algebra-- Data processing.
Subject : MACSYMA [Computer system].
Subject : calcul formel.
Subject : MACSYMA.
Subject : méthode Lindstedt.
Subject : méthode perturbation.
Subject : perturbation.
Subject : théorie bifurcation.
Subject : transformation Lie.
Subject : Algèbre-- Informatique.
Subject : Bifurcation, Théorie de la.
Subject : Perturbation (Mathématiques)
Subject : Algebra-- Data processing.
Subject : Anwendung
Subject : Bifurcation theory.
Subject : Bifurcation, théorie de la.
Subject : Calcul formel.
Subject : Computeralgebra
Subject : Differentialgleichung
Subject : MACSYMA (système d'ordinateur)
Subject : MACSYMA
Subject : Perturbation (Mathematics)
Subject : Perturbation (mathématiques)
Subject : Programm
Subject : Störungstheorie
Subject : Verzweigung
Subject : Computeralgebra.
Subject : Differentialgleichung.
Subject : Störungstheorie.
Subject : Verzweigung Mathematik
Subject : Macsyma.
: MACSYMA (Système informatique)
: Macsyma.
Dewey Classification : ‭510 s‬515.3/53
LC Classification : ‭QA1‬‭.A647 vol. 65‬
NLM classification : ‭*34-01‬msc
: ‭27‬28sdnb
: ‭34C29‬msc
: ‭35B20‬msc
: ‭DAT 702f‬stub
: ‭SK 500‬rvk
: ‭SK 920‬rvk
Added Entry : Armbruster, Dieter.
copyhttps://lib.clisel.com/site/catalogue/968224
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