rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Discrete numerical methods in physics and engineering
  name:
    name part: Greenspan, Donald.
    role:
      role term: creator
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    place:
      place term: New York
    publisher: Academic Press
    date issued: 1974
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xi, 312 pages) : illustrations
  abstract: Discrete numerical methods in physics and engineering.
  table of contents: Front Cover; Discrete Numerical Methods in Physics and Engineering; Copyright Page; Contents; Preface; Acknowledgments; CHAPTER I. NUMERICAL SOLUTION OF ALGEBRAIC AND TRANSCENDENTAL SYSTEMS; 1.1 Introduction; 1.2 Matrices and Linear Systems; 1.3 Gauss Elimination; 1.4 Tridiagonal Systems; 1.5 The Generalized Newton's Method; 1.6 Remarks; Exercises; CHAPTER II. APPROXIMATE SOLUTION OF PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS; 2.1 Introduction; 2.2 Grid Points and Differences; 2.3 The Method of Taylor Series; 2.4 Runge-Kutta Methods; 2.5 The Nonlinear Pendulum; 2.6 Instability
  table of contents: 2.7 Periodic Solutions of van der Pol's Equation2.8 Approximate Solution of Boundary Value Problems; 2.9 Remarks; Exercises; CHAPTER III. NUMERICAL SOLUTION OF ELLIPTIC BOUNDARY VALUE PROBLEMS; 3.1 Introduction; 3.2 Boundary Value Problems for the Laplace Equation; 3.3 Difference Equation Approximation of Laplace's Equation; 3.4 Interior and Boundary Lattice Points; 3.5 The Numerical Method; 3.6 Numerical Solution of the Exterior Dirichlet Problem; 3.7 Remark on Neumann and Mixed Type Problems; 3.8 The General Linear Elliptic Equation with Constant Coefficients
  table of contents: 3.9 Extension to Three Dimensions3.10 The Classical Problem of Capacity; 3.11 Mildly Nonlinear Problems; Exercises; CHAPTER IV. NUMERICAL SOLUTION OF PARABOLIC DIFFERENTIAL EQUATIONS; 4.1 Introduction; 4.2 Stability; 4.3 An Explicit Numerical Method; 4.4 An Implicit Numerical Method; 4.5 The Crank-Nicolson Method; 4.6 Mildly Nonlinear Problems; 4.7 A Boundary Value Technique; Exercises; CHAPTER V. NUMERICAL SOLUTION OF THE WAVE EQUATION; 5.1 Introduction; 5.2 The Cauchy Problem; 5.3 Stability; 5.4 An Explicit Method for Initial-Boundary Problems
  table of contents: 5.5 An Implicit Method for Initial-Boundary Problems5.6 A Second Implicit Method for Initial-Boundary Problems; 5.7 Mildly Nonlinear Problems; 5.8 A Boundary Value Technique; 5.9 Other Methods; Exercises; CHAPTER VI. APPROXIMATE EXTREMIZATION OF FUNCTIONALS; 6.1 Introduction; 6.2 Extremization of Functionals; 6.3 A Numerical Method; 6.4 Geodesics; 6.5 Free Boundary Value Problems; 6.6 Variational Problems and Partial Differential Equations; 6.7 The Plateau Problem; Exercises; CHAPTER VII. APPROXIMATE SOLUTION OF FLUID PROBLEMS; 7.1 Introduction; 7.2 A Prototype Liquid Problem
  table of contents: 7.3 Biharmonic Problems7.4 A Prototype Time Dependent Fluid Problem; 7.5 A Boundary Value Technique; 7.6 The Method of Fromm; 7.7 The Method of Pearson; 7.8 Remarks on Three Dimensional Problems; 7.9 Hyperbolic Systems; 7.10 Initial Value Problems; 7.11 The Method of Courant, Isaacson. and Rees; 7.12 The Lax-Wendroff Method; 7.13 Other Methods; Exercises; CHAPTER VIII. DISCRETE MODEL THEORY; 8.1 Introduction; 8.2 Particles, Time, and Motion; 8.3 Velocity and Acceleration; 8.4 The Law of Motion; 8.5 Damped Motion in a Nonlinear Force Field; 8.6 Conservation of Energy
  note: Donald Greenspan.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references (pages 292-304) and index.
  subject:
    topic: Numerical analysis
  subject:
    topic: Mathematical physics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Analyse numérique
  subject:
    topic: Physique mathématique
  subject:
    topic: Mathématiques de l'ingénieur
  subject:
    topic: MATHEMATICS
    topic: Calculus
  subject:
    topic: MATHEMATICS
    topic: Mathematical Analysis
  subject:
    topic: Engineering mathematics
  subject:
    topic: Mathematical physics
  subject:
    topic: Numerical analysis
  subject:
    topic: Numerieke methoden
  classification: QA297 .G72 1974eb
  classification: 515/.625
  classification: 31.81
  related item:
    title info:
      title: Discrete numerical methods in physics and engineering
    name:
      name part: Greenspan, Donald.
    origin info:
      publisher: New York : Academic Press, 1974
    identifier: (DLC) 73018463
    identifier: (OCoLC)741090
  related item:
    title info:
      title: Mathematics in science and engineering ; v. 107
  identifier: 9780123003508
  identifier: 0123003504
  identifier: 9780080956169
  identifier: 0080956165
  identifier: 73018463
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OPELS
    record creation date: 090320
    record change date: 20260326161519.4
    record identifier: in00005737116
    language of cataloging:
      language term: eng