The numerical solution of Volterra equations
著者
書誌事項
The numerical solution of Volterra equations
（CWI monograph, 3）
North-Holland, 1986
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注記
Bibliography: p. 521-571
Includes index
内容説明・目次
内容説明
This monograph presents the theory and modern numerical analysis of Volterra integral and integro-differential equations, including equations with weakly singular kernels. While the research worker will find an up-to-date account of recent developments of numerical methods for such equations, including an extensive bibliography, the authors have tried to make the book accessible to the non-specialist possessing only a limited knowledge of numerical analysis. After an introduction to the theory of Volterra equations and to numerical integration, the book covers linear methods and Runge-Kutta methods, collocation methods based on polynomial spline functions, stability of numerical methods, and it surveys computer programs for Volterra integral and integro-differential equations.
目次
1. An Introduction to the Theory of Volterra Equations. 2. Numerical Quadrature. 3. Linear Methods for Volterra Equations. 4. Runge-Kutta-Type Methods for Volterra Equations. 5. Collocation Methods for Volterra Equations with Regular Kernels. 6. Volterra Equations with Weakly Singular Kernels. 7. Numerical Stability. 8. Software and Test Examples. References. Index.
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