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:
    non sort: An
    title: Introduction to Numerical Methods
    sub title: a MATLAB Approach, Fourth Edition
  name:
    name part: Kharab, Abdelwahab
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Guenther, Ronald B.
    role:
      role term: author.
  type of resource: text
  genre: bibliography
  genre: elektronické knihy
  genre: electronic books
  origin info:
    place:
      place term: flu
    date issued: 2018
    edition: Fourth edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource : text file, PDF
  abstract: "Previous editions of this popular textbook offered an accessible and practical introduction to numerical analysis. An Introduction to Numerical Methods: A MATLAB® Approach, Fourth Edition continues to present a wide range of useful and important algorithms for scientific and engineering applications. The authors use MATLAB to illustrate each numerical method, providing full details of the computed results so that the main steps are easily visualized and interpreted. This edition also includes a new chapter on Dynamical Systems and Chaos."--Provided by publisher.
  table of contents: Cover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; Preface; 1: Introduction; 1.1 ABOUT MATLAB and MATLAB GUI (Graphical User Interface); 1.2 AN INTRODUCTION TO MATLAB; 1.2.1 Matrices and matrix computation; 1.2.2 Polynomials; 1.2.3 Output format; 1.2.4 Planar plots; 1.2.5 3-D mesh plots; 1.2.6 Function files; 1.2.7 Defining functions; 1.2.8 Relations and loops; 1.3 TAYLOR SERIES; 2: Number System and Errors; 2.1 FLOATING-POINT ARITHMETIC; 2.2 ROUND-OFF ERRORS; 2.3 TRUNCATION ERROR; 2.4 INTERVAL ARITHMETIC; 3: Roots of Equations; 3.1 THE BISECTION METHOD.
  table of contents: 3.2 FIXED POINT ITERATION3.3 THE SECANT METHOD; 3.4 NEWTON'S METHOD; 3.5 CONVERGENCE OF THE NEWTON AND SECANT METHODS; 3.6 MULTIPLE ROOTS AND THE MODIFIED NEWTON METHOD; 3.7 NEWTON'S METHOD FOR NONLINEAR SYSTEMS; APPLIED PROBLEMS; 4: System of Linear Equations; 4.1 MATRICES AND MATRIX OPERATIONS; 4.2 NAIVE GAUSSIAN ELIMINATION; 4.3 GAUSSIAN ELIMINATION WITH SCALED PARTIAL PIVOTING; 4.4 LU DECOMPOSITION; 4.4.1 Crout's and Cholesky's methods; 4.4.2 Gaussian elimination method; 4.5 ITERATIVE METHODS; 4.5.1 Jacobi iterative method; 4.5.2 Gauss-Seidel iterative method; 4.5.3 Convergence.
  table of contents: APPLIED PROBLEMS5: Interpolation; 5.1 POLYNOMIAL INTERPOLATION THEORY; 5.2 NEWTON'S DIVIDED-DIFFERENCE INTERPOLATING POLYNOMIAL; 5.3 THE ERROR OF THE INTERPOLATING POLYNOMIAL; 5.4 LAGRANGE INTERPOLATING POLYNOMIAL; APPLIED PROBLEMS; 6: Interpolation with Spline Functions; 6.1 PIECEWISE LINEAR INTERPOLATION; 6.2 QUADRATIC SPLINE; 6.3 NATURAL CUBIC SPLINES; APPLIED PROBLEMS; 7: The Method of Least-Squares; 7.1 LINEAR LEAST-SQUARES; 7.2 LEAST-SQUARES POLYNOMIAL; 7.3 NONLINEAR LEAST-SQUARES; 7.3.1 Exponential form; 7.3.2 Hyperbolic form; APPLIED PROBLEMS; 8: Numerical Optimization.
  table of contents: 8.1 ANALYSIS OF SINGLE-VARIABLE FUNCTIONS8.2 LINE SEARCH METHODS; 8.2.1 Newton's method; 8.2.2 Golden section search; 8.2.3 Fibonacci Search; 8.2.4 Parabolic Interpolation; 8.3 MINIMIZATION USING DERIVATIVES; 8.3.1 Newton's method; 8.3.2 Newton's method; APPLIED PROBLEMS; 9: Numerical Differentiation; 9.1 NUMERICAL DIFFERENTIATION; 9.2 RICHARDSON'S FORMULA; APPLIED PROBLEMS; 10: Numerical Integration; 10.1 TRANPEZOIDAL RULE; 10.2 SIMPSON'S RULE; 10.3 ROMBERG ALGORITHM; 10.4 GAUSSIAN QUADRATURE; APPLED PROBLEMS; 11: Numerical Methods for Linear Integral Equations; 11.1 INTRODUCTION.
  table of contents: 11.2 QUADRATURE RULES11.2.1 Trapezoidal rule; 11.2.2 The Gauss-Nyström method; 11.3 THE SUCCESSIVE APPROXIMATION METHOD; 11.4 SCHMIDT's METHOD; 11.5 VOLTERRA-TYPE INTEGRAL EQUATIONS; 11.5.1 Euler's method; 11.5.2 Heun's method; APPLED PROBLEMS; 12: Numerical Methods for Differential Equations; 12.1 EULER'S METHOD; 12.2 ERROR ANALYSIS; 12.3 HIGHER-ORDER TAYLOR SERIES METHODS; 12.4 RUNGE-KUTTA METHODS; 12.5 MULTISTEP METHODS; 12.6 ADAMS-BASHFORTH METHODS; 12.7 PREDICTOR-CORRECTOR METHODS; 12.8 ADAMS-MOULTION; 12.9 NUMERICAL STABILITY.
  note: Abdelwahab Kharab, Ronald Guenther.
  note: Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty
  note: Includes bibliographical references and index.
  subject:
    topic: Mathematical physics
  subject:
    topic: Mechanics, Applied
  subject:
    topic: Mechanical engineering
  subject:
    topic: Numerical analysis
  identifier: 9781315107042
  identifier: 131510704X
  identifier: 9781351605922
  identifier: 1351605925
  identifier: 9781351605915
  identifier: 1351605917
  identifier: 9781351605908
  identifier: 1351605909
  identifier: 9781523120475
  identifier: 1523120479
  identifier: 9781138093072
  identifier: 1138093076
  identifier: https://proxy.k.utb.cz/login
  access condition: Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty
  record info:
    record content source: CRCPR
    record creation date: 180504
    record change date: 20240717213016.0
    record identifier: kn-on1034623447
    language of cataloging:
      language term: eng