Advances in Computational Mathematics: Proceedings of the International Symposium on Computational Mathematics, Matsuyama, Japan, 30 August-4 September 1990

This is a book edition of the symposium proceedings previously published in the Journal of Computational and Applied Mathematics . Twenty-one invited and 11 contributed talks given by such authors as E.L. Allgower, O. Axelesson, C. Brezinski, H.W. Engl, C.W. Gear, J.W. Jerome, D.K. Kahaner and B.N. Parlett are included. Contributions cover a wide variety of current topics in computational mathematics including: numerical linear algebra, nonlinear equations and optimization, numerical approximation and integration, ill-posed problems, numerical solutions of ordinary and partial differential equations, numerical solution of algebraic equations, and computation with validation.

Table of Contents:
Preface (T. Yamamoto). Conjugate gradient methods for continuation problems (E.L. Allgower, C.-S. Chien, K. Georg and C.-F. Wang). Volume integrals for boundary element methods (E.L. Allgower, K. Georg and R. Widmann). The method of diagonal compensation of reduced matrix entries and multilevel iteration (O. Axelsson). Optimal linear contractive sequence transformations (C. Brezinski and S. Paszkowski). PCG methods applied to a system of nonlinear equations (X. Chen and T. Yamamoto). A bidimensional stability result for aluminium electrolytic cells (J. Descloux, Y. Jaccard and M.V. Romerio). Uniform convergence of regularization methods for linear ill-posed problems (H.W. Engl and G. Hodina). Generalized nonlinear diagonal dominance and applications to asynchronous iterative methods (A. Frommer). Performance of hyperplane ordering on vector computers (S. Fujino, M. Mori and T. Takeuchi). Waveform methods for space and time parallelism (C.W. Gear). A simple numerical model for nonlinear warming of a slab (C.W. Groetsch). Application of a modified FFT to product type integration (T. Hasegawa and T. Torii). Computing zeros and orders of Bessel functions (Y. Ikebe, Y. Kikuchi and I. Fujishiro). Projected successive overrelaxation method for finite-element solutions to the Dirichlet problem for a system of nonlinear elliptic equations (K. Ishihara). On the stability of the boundary element collocation method applied to the linear heat equation (Y. Iso and K. Onishi). Numerical approximation of PDE system fixed-point maps via Newton's method (J.W. Jerome). Experiments with an ordinary differential equation solver in the parallel solution of method of lines problems on a shared-memory parallel computer (D.K. Kahaner, E.Ng, W.E. Schiesser and S. Thompson). On counting functions of self-similar sequences (Y. Kametaka). Asymptotic stability of the fundamental solution method (T. Kitagawa). On bivariate osculatory interpolation (X.-Z. Liang and L.-Q. Li). Multilevel adaptive methods for incompressible flow in grooved channels (C. Liu, Z. Liu and S. McCormick). Trencs in systolic and cellular computation (G. Miel). Solving nonlinear parabolic problems with result verification. Part I: One-space dimensional case (M.T. Nakao). Approximate GCD and its application to ill-conditioned algebraic equations (M.-T. Noda and T. Sasaki). The double exponential formula for oscillatory functions over the half infinite interval (T. Ooura and M. Mori). Acceleration methods for vector sequences (N. Osada). Symmetric matrix pencils (B.N. Parlett). A high-order iterative formula for simultaneous determination of zeros of a polynomial (T. Sakurai, T. Torii and H. Sugiura). A method for constructing generalized Runge-Kutta methods (H. Sugiura and T. Torii). Finite-element analysis of high Reynolds number flows past a circular cylinder (M. Tabata and S. Fujima). Computational aspect of linear water wave problem (T. Ushijima).