Numeric Computing In Fortran(1st Edition)

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Book Price $0 : Scientific Enquiry Mostly Require Computation Of Mathematical Models. Numeric Computing In Fortran Endeavours To Systematically Develop The Principal Methods Of Solution Of Such Problems, Develop The Algorithms In An Organized Manner And Provides Understandable Computer Codes In Simple Statements Of Fortran 90/95 A Traditional Language For Such Purposes. This Forward Looking Version Of The Language Is Fully Backward-compatible To Facilitate Integration With User Written Programs. The Mathematics Behind The Computational Methods Is Kept At A Moderate Level And Proofs Of The Theoretical Results Are Provided In Most Cases.Table Of Contentsâ?¢ Prefaceâ?¢ Computation In Fortran: Calculators And Computersâ?¢ Errors In Computingâ?¢ Complexity Of Algorithmsâ?¢ Elements Of FORTRANâ?¢ Equations: Real Rootsâ?¢ The General Iteration Methodâ?¢ Rate Of Convergenceâ?¢ Convergence Theoremsâ?¢ Complex Rootsâ?¢ Algebraic Equationsâ?¢ Choice Of Methodâ?¢ System Of Equations: Linear System Of Equationsâ?¢ Error: Matrix Norms And Condition Numberâ?¢ Relaxation Methodsâ?¢ Nonlinear System Of Equationsâ?¢ Interpolation: Polynomial Interpolationâ?¢ Equally Spaced Points: Finite Differencesâ?¢ Best Interpolation Nodes: Chebyshev Interpolationâ?¢ Piecewise Polynomial Spline Interpolationâ?¢ Differentiation And Integration: Numerical Differentiationâ?¢ Numerical Integrationâ?¢ Euler-Maclaurin Summation Formulaâ?¢ Improper Integralsâ?¢ Double Integrationâ?¢ Ordinary Differential Equations: Initial Value Problem For First Order ODEâ?¢ System Of ODEsâ?¢ Stiff Differential Equationsâ?¢ Boundary Value Problemsâ?¢ Partial Differential Equations: First Order Equationâ?¢ The Diffusion Equationâ?¢ The Wave Equationâ?¢ Poisson Equationâ?¢ Diffusion And Wave Equations In Two Dimensionâ?¢ Convergence: Lax's Equivalence Theoremâ?¢ Approximation: Uniform Approximation By Polynomialsâ?¢ Best Uniform (Minimax) Approximationâ?¢ Least Squares Approximationâ?¢ Orthogonal Polynomialsâ?¢ Orthogonal Polynomials Over Discrete Set Of Points: Smoothing Of Dataâ?¢ Trigonometric Approximationâ?¢ Rational Approximationsâ?¢ Matrix Eigenvalues: General Theoremsâ?¢ Real Symmetric Matricesâ?¢ General Matricesâ?¢ Maximum Modulus Eigenvalue: The Power Methodâ?¢ The Characteristic Equationâ?¢ Fast Fourier Transform: Discrete Fourier Transformâ?¢ Fast Fourier Transformâ?¢ FFT For N = R1r2rmâ?¢ Bibliographyâ?¢ Index. See more