Exploring Numerical Methods. An Introduction To Scientific Computing Using Matlab

Richard-L-C Wang

,

Peter Linz

Note moyenne 
Richard-L-C Wang et Peter Linz - Exploring Numerical Methods. An Introduction To Scientific Computing Using Matlab.
Exploring Numerical Methods is designed to provide beginning engineering and science students, as well as upper-level mathematics students, with an introduction... Lire la suite
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Résumé

Exploring Numerical Methods is designed to provide beginning engineering and science students, as well as upper-level mathematics students, with an introduction to numerical analysis that emphasizes insight and hands-on experience. To serve the needs of both the younger and the more experienced audiences, each chapter begins with an intuitive presentation of motivation and simple algorithms. Topics are developed progressively within each chapter and the advanced material, which reveals underlying theory and discusses complicated methods, is clearly marked. The text takes a focused approach to introducing the most important numerical algorithms and exposes students to partial differential equations by using simple prototypes. This text provides a strong experiential basis for future study. MATLAB Provides students with the opportunity to continue the text's discussions through the implementation of methods and algorithme NASOFT Serves as a complement to MATLAB, extending MATLAB's functionality and providing functions that are coded in a straightforward manner An "Explorations" chapter Challenges students to experiment with numerical software in settings that reflect real-world situations. Students encounter the practical issues of software evaluation, selection, and modification, as they are challenged to develop solutions to open-ended problems. A chapter on inverse and ill-posed problems Exposes students to this increasingly essential topic and emphasizes the importance of thoughtful application of numerical methods

Sommaire

    • Numerical analysis and scientific computing
    • Computing with numbers
    • The solution of systems of linear equations
    • Polynomials and polynomial approximations
    • Piecewise polynomials and data fitting
    • Numerical differentiation and integration
    • The solution of nonlinear equations
    • Advanced matrix algorithms
    • Eigenvalue problems
    • Initial value problems for ordinary differential equations
    • Boundary and eigenvalue problems for ordinary differential equations
    • Initial value problems for partial differential equations
    • Boundary value problems for partial differential equations
    • Ill-conditioned and ill-posed problems
    • Numerical computing in MATLAB
    • NASOFT user manual and example scripts
    • Explorations

Caractéristiques

  • Date de parution
    01/01/2003
  • Editeur
  • ISBN
    0-7637-1499-2
  • EAN
    9780763714994
  • Présentation
    Relié
  • Nb. de pages
    473 pages
  • Poids
    1.04 Kg
  • Dimensions
    19,9 cm × 24,4 cm × 3,2 cm

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