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: Numerical methods for partial differential equations
  name:
    name part: Ames, William F.
    role:
      role term: creator
  name:
    name part: Rheinboldt, Werner.
  name:
    name part: Jeffrey, Alan.
  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: 1977
    edition: 2nd ed.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xiv, 365 pages) : illustrations
  abstract: Numerical Methods for Partial Differential Equations.
  table of contents: Front Cover; Numerical Methods for Partial Differential Equations; Copyright Page; Dedication; Table of Contents; Preface to second edition; Preface to first edition; Chapter 1. Fundamentals; 1-0 Introduction; 1-1 Classification of physical problems; 1-2 Classification of equations; 1-3 Asymptotics; 1-4 Discrete methods; 1-5 Finite differences and computational molecules; 1-6 Finite difference operators; 1 -7 Errors; 1-8 Stability and convergence; 1-9 I rregular boundaries; 1-10 Choice of discrete network; 1-11 Dimensionless forms; REFERENCES; Chapter 2. Parabolic equations; 2-0 Introduction.
  table of contents: 2-1 Simple explicit methods2-2 Fourier stability method; 2-3 Implicit methods; 2-4 An unconditionally unstable difference equation; 2-5 Matrix stability analysis; 2-6 Extension of matrix stability analysis; 2-7 Consistency, stability, and convergence; 2-8 Pure initial value problems; 2-9 Variable coefficients; 2-10 Examples of equations with variable coefficients; 2-11 General concepts of error reduction; 2-12 Explicit methods for nonlinear problems; 2-13 An application of the explicit method; 2-14 Implicit methods for nonlinear problems; 2-15 Concluding remarks; REFERENCES.
  table of contents: Chapter 3. Elliptic equations3-0 Introduction; 3-1 Simple finite difference schemes; 3-2 Iterative methods; 3-3 Linear elliptic equations; 3-4 Some point iterative methods; 3-5 Convergence of point iterative methods; 3-6 Rates of convergence; 3-7 Accelerations-successive over-relaxation (SOR); 3-8 Extensions of SOR; 3-9 Qualitative examples of over-relaxation; 3-10 Other point iterative methodsf; 3-11 Block iterative methods; 3-12 Alternating direction methods; 3-13 Summary of ADI results; 3-14 Some nonlinear examples; REFERENCES; Chapter 4. Hyperbolic equations; 4-0 Introduction.
  table of contents: 4-1 The quasilinear system4-2 Introductory examples; 4-3 Method of characteristics; 4-4 Constant states and simple waves; 4-5 Typical application of characteristics; 4-6 Explicit finite difference methods; 4-7 Overstability; 4-8 Implicit methods for second-order equations; 4-9 Nonlinear examples; 4-10 Simultaneous first-order equations-explicit methods; 4-11 An implicit method for first-order equations; 4-11 An implicit method for first-order equations; 4-13 Gas dynamics in one-space variable; 4-14 Eulerian difference equations; 4-15 Lagrangian difference equations.
  table of contents: 4-15 Lagrangian difference equations4-16 Hopscotch methods for conservation laws; 4-17 Explicit-implicit schemes for conservation laws; REFERENCES; Chapter 5. Special topics; 5-0 Introduction; 5-1 Singularities; 5-2 Shocks; 5-3 Eigenvalue problems; 5-4 Parabolic equations in several space variables; 5-5 Additional comments on elliptic equations; 5-6 Hyperbolic equations in higher dimensions; 5-7 Mixed systems; 5-8 Higher-order equations in elasticity and vibrations; 5-9 Fluid mechanics: the Navier-Stokes equations; 5-10 Introduction to Monte Carlo methods; 5-11 Method of lines; 5-12 Fast Fourier transform and applications.
  note: William F. Ames.
  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 and indexes.
  note: English.
  subject:
    topic: Differential equations, Partial
    topic: Numerical solutions
  subject:
    topic: Équations aux dérivées partielles
    topic: Solutions numériques
  subject:
    topic: MATHEMATICS
    topic: Calculus
  subject:
    topic: MATHEMATICS
    topic: Mathematical Analysis
  subject:
    topic: Differential equations, Partial
    topic: Numerical solutions
  subject:
    topic: Numerische Mathematik
  subject:
    topic: Numerisches Verfahren
  subject:
    topic: Partielle Differentialgleichung
  subject:
    topic: PARTIAL DIFFERENTIAL EQUATIONS
  subject:
    topic: NUMERICAL ANALYSIS
  subject:
    topic: Differential equations, Partial
    topic: Numerical solutions
  subject:
    topic: Equations aux dérivées partielles
    topic: Solutions numériques
  subject:
    topic: equations
    topic: numerical solution
  subject:
    topic: eindige-elementenmethode
  subject:
    topic: finite element analysis
  subject:
    topic: differentiaalvergelijkingen
  subject:
    topic: differential equations
  subject:
    topic: numerieke methoden
  subject:
    topic: numerical methods
  subject:
    topic: Numerical Mathematics
  subject:
    topic: Numerieke wiskunde
  classification: QA374
  classification: 515/.353
  classification: 31.76
  classification: PB 73
  classification: SK 910
  classification: SK 920
  classification: SK 540
  classification: MAT 671f
  classification: 35-02
  related item:
    title info:
      title: Numerical methods for partial differential equations
    name:
      name part: Ames, William F.
    origin info:
      publisher: New York : Academic Press, ©1977
      edition: 2d ed.
    identifier: (DLC) 77005786
    identifier: (OCoLC)2894048
  related item:
    title info:
      title: Computer science and applied mathematics
  identifier: 9781483262420
  identifier: 1483262421
  identifier: 0120567601
  identifier: 9780120567607
  identifier: 0177710861
  identifier: 9780177710865
  identifier: 0442307373
  identifier: 9780442307370
  identifier: 77005786
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: EBLCP
    record creation date: 141227
    record change date: 20260326212723.1
    record identifier: in00005758416
    language of cataloging:
      language term: eng