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Numerical analysis --- Mechanical properties of solids --- Mathematical physics --- numerieke analyse --- Materials sciences --- lineaire algebra --- eindige elementen --- Finite element method --- Boundary value problems --- Méthode des éléments finis --- Problèmes aux limites --- Méthode des éléments finis --- Problèmes aux limites

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While most textbooks on Numerical Analysis discuss linear techniques for the solution of various numerical problems, this book introduces and illustrates nonlinear methods. It presents several nonlinear techniques resulting mainly from the use of Padé approximants and rational interpolants.

Analyse numérique --- Numerical analysis --- Numerieke analyse --- 517.518.8 --- 519.6 --- 681.3*G11 --- 681.3*G12 --- Mathematical analysis --- Approximation of functions by polynomials and their generalizations --- 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 --- 517.518.8 Approximation of functions by polynomials and their generalizations --- Analyse numérique --- ELSEVIER-B EPUB-LIV-FT --- Mathematical analysis. --- Numerical analysis. --- 517.1 Mathematical analysis --- Analyse numérique. --- Series (mathematique) --- Equations non lineaires --- Sommation --- Approximation des solutions