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Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Differential equations, Partial --- 519.6 --- 681.3 *G18 --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- Numerical analysis --- Numerical solutions --- Numerical solutions. --- Equations aux dérivées partielles --- Solutions numériques --- Differential equations [Partial ] --- Finite differences --- Analyse numérique --- Différences finies --- Analyse numérique. --- Différences finies. --- Numerical analysis. --- Analyse numérique --- Différences finies --- Differential equations, Partial - Numerical solutions --- Equations aux derivees partielles --- Methodes numeriques --- Differences finies
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Mathematical analysis --- Functional analysis --- 51 --- Mathematics --- Differential equations, Partial. --- Initial value problems. --- Besov spaces. --- 51 Mathematics --- Besov spaces --- Besov, Espaces de --- 51 Wiskunde. Mathematiek --- Wiskunde. Mathematiek --- Equations aux derivees partielles --- Differences finies --- Equations aux derivees partielles hyperboliques --- Approximation des solutions --- Problemes de valeurs initiales
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Financial engineering --- Derivative securities --- Finite differences --- Differential equations, Partial --- Instruments dérivés (Finances) --- Différences finies --- Equations aux dérivées partielles --- Mathematics --- Prices --- Mathematical models --- Numerical solutions --- Prix --- Modèles mathématiques --- Solutions numériques --- Instruments dérivés (Finances) --- Différences finies --- Equations aux dérivées partielles --- Modèles mathématiques --- Solutions numériques --- Financial engineering - Mathematics --- Derivative securities - Prices - Mathematical models --- Differential equations, Partial - Numerical solutions
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Equations aux différences --- Numerical solutions of differential equations --- Partial differential equations --- Differential equations, Partial --- Difference equations --- Numerical solutions --- Numerical solutions. --- Equations aux dérivées partielles --- Solutions numériques --- Differential equations, Partial - Numerical solutions --- Difference equations - Numerical solutions --- Equations aux derivees partielles --- Methodes numeriques --- Differences finies
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Ordinary differential equations --- Numerical solutions of differential equations --- 519.6 --- 681.3 *G18 --- Computational mathematics. Numerical analysis. Computer programming --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Difference equations. --- Numerical analysis. --- Initial value problems. --- Mathematical physics. --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Numerical analysis --- Finite differences --- Analyse numérique --- Différences finies --- Analyse numérique. --- Différences finies. --- Équations aux dérivées partielles --- Problèmes aux valeurs initiales --- Differential equations, Partial --- Initial value problems --- Operators(Linear-) --- Équations aux dérivées partielles --- Problèmes aux valeurs initiales --- Analyse numérique. --- Différences finies.
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Substantially revised, this authoritative study covers the standard finite difference methods of parabolic, hyperbolic, and elliptic equations, and includes the concomitant theoretical work on consistency, stability, and convergence. The new edition includes revised and greatly expanded sections on stability based on the Lax-Richtmeyer definition, the application of Pade approximants to systems of ordinary differential equations for parabolic and hyperbolic equations, and a considerably improved presentation of iterative methods. A fast-paced introduction to numerical methods, this will be a useful volume for students of mathematics and engineering, and for postgraduates and professionals who need a clear, concise grounding in this discipline.
Difference equations --- Differential equations, Partial --- Numerical solutions. --- Numerical solutions of differential equations --- Partial differential equations --- 519.6 --- 681.3 *G18 --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- Numerical analysis --- Numerical solutions --- Equations aux dérivées partielles --- Equations aux différences --- Solutions numériques --- Differential equations, Partial - Numerical solutions --- Difference equations - Numerical solutions --- Equations aux derivees partielles --- Methodes numeriques --- Differences finies
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Differential equations, Partial --- Nets (Mathematics) --- Equations aux dérivées partielles --- Réseaux (Mathématiques) --- 519.6 --- 681.3 *G18 --- Moore-Smith convergence --- Net equations --- Net methods (Mathematics) --- Convergence --- Set theory --- Topology --- Partial differential equations --- Computational mathematics. Numerical analysis. Computer programming --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Differential equations, Partial. --- Nets (Mathematics). --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Equations aux dérivées partielles --- Réseaux (Mathématiques) --- Equations aux derivees partielles --- Equations aux derivees partielles paraboliques --- Equations aux derivees partielles elliptiques --- Equations aux derivees partielles hyperboliques --- Methodes numeriques --- Differences finies
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