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Numerical solutions of differential equations --- 519.6 --- 681.3*G19 --- Computational mathematics. Numerical analysis. Computer programming --- Integral equations: Fredholm equations; integro-differential equations; Volterra equations (Numerical analysis) --- Integral equations --- Numerical solutions --- 681.3*G19 Integral equations: Fredholm equations; integro-differential equations; Volterra equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming

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Numerical solutions of differential equations --- Numerical analysis --- Measure theory. Mathematical integration --- Integral equations --- Numerical solutions --- -519.6 --- 681.3*G19 --- Equations, Integral --- Functional equations --- Functional analysis --- Computational mathematics. Numerical analysis. Computer programming --- Integral equations: Fredholm equations; integro-differential equations; Volterra equations (Numerical analysis) --- 681.3*G19 Integral equations: Fredholm equations; integro-differential equations; Volterra equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 519.6 --- Analyse numérique. --- Analyse numérique --- Numerical analysis. --- Integral equations - Numerical solutions --- Equations integrales --- Methodes numeriques

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Integral equations --- Numerical solutions. --- -519.6 --- 681.3*G19 --- Equations, Integral --- Functional equations --- Functional analysis --- Numerical solutions --- Computational mathematics. Numerical analysis. Computer programming --- Integral equations: Fredholm equations; integro-differential equations; Volterra equations (Numerical analysis) --- Integral equations. --- 681.3*G19 Integral equations: Fredholm equations; integro-differential equations; Volterra equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 519.6 --- Numerical analysis --- Integral equations - Numerical solutions.

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Collocation based on piecewise polynomial approximation represents a powerful class of methods for the numerical solution of initial-value problems for functional differential and integral equations arising in a wide spectrum of applications, including biological and physical phenomena. The present book introduces the reader to the general principles underlying these methods and then describes in detail their convergence properties when applied to ordinary differential equations, functional equations with (Volterra type) memory terms, delay equations, and differential-algebraic and integral-algebraic equations. Each chapter starts with a self-contained introduction to the relevant theory of the class of equations under consideration. Numerous exercises and examples are supplied, along with extensive historical and bibliographical notes utilising the vast annotated reference list of over 1300 items. In sum, Hermann Brunner has written a treatise that can serve as an introduction for students, a guide for users, and a comprehensive resource for experts.

Collocation methods --- Volterra equations --- 519.64 --- 681.3*G19 --- Numerical analysis --- Differential equations --- Integral equations --- 681.3*G19 Integral equations: Fredholm equations; integro-differential equations; Volterra equations (Numerical analysis) --- Integral equations: Fredholm equations; integro-differential equations; Volterra equations (Numerical analysis) --- 519.64 Numerical methods for solution of integral equations. Quadrature formulae --- Numerical methods for solution of integral equations. Quadrature formulae --- Numerical solutions --- Collocation methods. --- Numerical solutions.

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Numerical solutions of differential equations --- Integral equations --- Equations intégrales --- Numerical solutions --- Congresses --- Solutions numériques --- Congrès --- -519.6 --- 681.3*G19 --- Equations, Integral --- Functional equations --- Functional analysis --- -Congresses --- Computational mathematics. Numerical analysis. Computer programming --- Integral equations: Fredholm equations; integro-differential equations; Volterra equations (Numerical analysis) --- 681.3*G19 Integral equations: Fredholm equations; integro-differential equations; Volterra equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Equations intégrales --- Solutions numériques --- Congrès --- 519.6 --- Numerical solutions&delete& --- Integral equations - Numerical solutions - Congresses