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Stochastic processes --- Numerical approximation theory --- Chebyshev polynomials --- #TELE:SISTA --- 517.518.8 --- 519.6 --- 681.3*G12 --- Functions, Chebyshev's --- Polynomials, Chebyshev --- Tchebycheff polynomials --- Chebyshev series --- Chebyshev systems --- Orthogonal polynomials --- Approximation of functions by polynomials and their generalizations --- Computational mathematics. Numerical analysis. Computer programming --- Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- Chebyshev polynomials. --- 681.3*G12 Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 517.518.8 Approximation of functions by polynomials and their generalizations --- Functions, Special --- Fonctions spéciales --- Polynômes orthogonaux. --- Tchebychev, Polynômes de. --- Approximation theory --- Approximation, Théorie de l' --- Functions, Special. --- Fonctions spéciales --- Polynômes orthogonaux --- Tchebychev, Polynômes de --- Approximation theory. --- Approximation, Théorie de l' --- Interpolation --- Interpolation polynomiale
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Chebyshev polynomials are important in approximation theory and in the development of spectral methods for the solution of ordinary and partial differential equations. This book gives an up-to-date exposition on the theoretical and practical roles of the Chebyshev polynomials. Theoretical discussions focus on definitions and properties as well as the key formulae for generating the polynomials and computing the expressions that involve them. Practical discussions center on applications that include polynomial approximation, rational approximation, integration, integral equations, and ordinary and partial differential equations, particularly the tau and spectral methods.
Stochastic processes --- Numerical approximation theory --- Chebyshev polynomials. --- 517.58 --- 519.65 --- Chebyshev polynomials --- 517.518.8 --- Functions, Chebyshev's --- Polynomials, Chebyshev --- Tchebycheff polynomials --- Chebyshev series --- Chebyshev systems --- Orthogonal polynomials --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Approximation. Interpolation --- Approximation of functions by polynomials and their generalizations --- 517.518.8 Approximation of functions by polynomials and their generalizations --- 519.65 Approximation. Interpolation --- 517.58 Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials
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Chebyshev polynomials --- Fourier analysis --- Spectral theory (Mathematics) --- Tchebychev, Polynômes de --- Analyse de Fourier --- Spectre (Mathématiques) --- Fourier Analysis --- 519.6 --- 519.63 --- Computational mathematics. Numerical analysis. Computer programming --- Numerical methods for solution of partial differential equations --- 519.63 Numerical methods for solution of partial differential equations --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Tchebychev, Polynômes de --- Spectre (Mathématiques) --- Functional analysis --- Hilbert space --- Measure theory --- Transformations (Mathematics) --- Analysis, Fourier --- Mathematical analysis --- Functions, Chebyshev's --- Polynomials, Chebyshev --- Tchebycheff polynomials --- Chebyshev series --- Chebyshev systems --- Orthogonal polynomials --- Collocation methods --- Collocation, Méthodes de (mathématiques) --- Differential equations, Partial --- Équations aux dérivées partielles --- Eigenvalues --- Problèmes aux valeurs propres --- Équations aux dérivées partielles. --- Problèmes aux valeurs propres. --- Algorithmes --- Analyse numérique. --- Numerical analysis --- Algorithms --- Algorithmes. --- Collocation, Méthodes de (mathématiques) --- Équations aux dérivées partielles. --- Problèmes aux valeurs propres. --- Analyse numérique.
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Chebyshev polynomials. --- 517.518.8 --- 511 --- Chebyshev polynomials --- #KVIV:BB --- 519.6 --- 681.3*G11 --- 681.3*G12 --- Functions, Chebyshev's --- Polynomials, Chebyshev --- Tchebycheff polynomials --- Chebyshev series --- Chebyshev systems --- Orthogonal polynomials --- Approximation of functions by polynomials and their generalizations --- Number theory --- Computational mathematics. Numerical analysis. Computer programming --- Interpolation: difference formulas; extrapolation; smoothing; spline and piecewise polynomial interpolation (Numerical analysis) --- Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- 681.3*G12 Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- 681.3*G11 Interpolation: difference formulas; extrapolation; smoothing; spline and piecewise polynomial interpolation (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 511 Number theory --- 517.518.8 Approximation of functions by polynomials and their generalizations
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