The numerical treatment of ordinary and partial Volterra integro-differential equations

Chapters in this book

1. Frontmatter I
2. Contents V
3. Preface VII
4. Orthogonal polynomials associated with a non-standard measure 1
5. The numerical treatment of ordinary and partial Volterra integro-differential equations 13
6. Numerical methods for y" = f(x,y) 27
7. Numerical-analytical method for finding periodic solutions of nonlinear impulsive singularly perturbed differential systems 39
8. Special algorithms for the numerical integration of problems in orbital dynamics 51
9. Polynomial approximation with side conditions: Recent results and open problems 61
10. Continuous numerical solutions and error bounds for matrix differential equations 73
11. Convergence rate estimates for the finite difference schemes compatible with the smoothness of data 89
12. Numerical solutions of differential-function problems 97
13. An Iterated Method Of Computing The Inverse Mapping 113
14. On using high orders finite elements for solving structural mechanics problems 123
15. Numerical solution of differential equations for the analytic singular value decomposition 131
16. A new trust region algorithm for nonlinear optimization 141