
Applied Numerical Analysis
M. Rahman(Author)
WIT Press
Published on 30. June 2004
Book
Mixed media product
408 pages
978-1-85312-891-2 (ISBN)
Description
This text on recent developments in applied numerical analysis is designed for both students in mathematical and physical sciences and practicing scientists and engineers. Many practical problems are illustrated while an accompanying CD-ROM contains computer programs, answers to exercises and some important tables.
More details
Series
Language
English
Place of publication
Southampton
United Kingdom
Target group
College/higher education
Professional and scholarly
Illustrations
illustrations
Dimensions
Height: 230 mm
Width: 155 mm
ISBN-13
978-1-85312-891-2 (9781853128912)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
Content
1 - Introduction Preliminary background; Formulation of ordinary and partial differential equations; Singular solution and complete primitive; Initial and boundary value problems; Graphical representation; References 2 - Ordinary differential equations Introduction; Some preliminaries of finite difference; Numerical differentiations; Numerical integrations; Numerical solution of ODE; Second- and higher-order equations; Finite difference methods; Application to practical problems; References 3 - Partial differential equations Introduction; Finite difference methods; the finite element method; The boundary element method; References 4 - Nonlinear differential equations and stability Introduction; Solutions of trajectories; The phase plane and the linear system; Stability of almost linear systems; Liapounov's second method; Periodic solutions and limit cycles; Some practical problems; References 5 - The calculus of variations Introduction; Systems of Euler-Lagrange equations; The extrema of integrals under constraints; Sturm-Liouville problems; Principles of variations; Hamilton's principles; Hamilton's equations; Some practical problems; References 6 - Applications Introduction; Stability of subsystems; Oceanwaves; Nonlinear wave-wave interactions; Seismic response of dams; Green's function method for waves; References