Computational and Applied Mathematics: No. 1 Selected and Revised Papers from the IMACS 13th World Congress, Dublin, Ireland, July 1991

Presenting research papers dealing with algorithms, this book will appeal to researchers and engineers involved in numerical analysis.

Table of Contents:
On the actual convergence order of computed sequences. PASCAL-XSC, A portable development system. Fast parallel solution of sparse triangular systems. A unified approach towards nominal and tolerance design. Characterization and computation of bifurcation points with corank two. A free oscillation based technique for the identification of nonlinear dynamic systems. Wavelets and Multigrid. Parallel LU decomposition of upper hessenberg matrices on a shared memory multiprocessor. Approximation of the numerical solution of parabolic problems. Stochastic arithmetic properties. Using genetic algorithms for planarization problems. Unconstrained optimization on vector-parallel computers. Large-scale stochastic linear programs - importance sampling and Benders decomposition. The application of variable precision interval arithmetic to the solution of problems in vortex dynamics. AQUARELS: A problem-solving environment for numerical quality. Finite difference minimization of the Landau - de Gennes free energy for liquid crystals in rectangular regions. The iterative transformation method: free or moving boundary value problems. A generalization of the selection problem in digraphs. The SCALP perturbation method. A biconjugate gradient-type algorithm for the iterative solution of non-Hermitian linear systems on massively parallel architectures. Tradeoffs in algorithms for separable nonlinear least squares. On the convolution structure of integral transforms. Applying Schur complements for handling large, sparse linear programming bases. Algorithms of mixed symbolic-numeric type for rational approximation. On reformed Krylov's method. Accurate arithmetic in an Ada environment. Extended interpolation method and its applications in piece-wise approximations. Multipoint Pade-type approximants, convergence, continuity. Applying divide and conquer techniques to the nonsymmetric eigenvalue problem. The Lanczos algorithm for the generalized symmetric eigenproblem on shared-memory architectures. Gaussian adaptation, an evolution-based efficient global optimizer. Verified solution of eigenvalue problems with sparse matrices. An acceleration technique for a non-overlapped domain decomposition method. Numerical code generation for finite difference schemes solving. Computations of hypergeometric functions by means of continued fractions. Optimization of systems with deterministic and statistical search procedures. On the perturbation of a regular linear form. The degree of mean approximation of Hermite-Fejer interpolation. Computing to arbitrary accuracy. On constructing spline approximations for solving Cauchy problem II. Computational aspects of an optimal linear prediction formula for band-limited signals. Computable error estimates for FEM and numerical verification of solutions for nonlinear PDEs. On the production of points lying on general conics with reference to use with conic splines. Flowgraphs to compute termwise integration of Walsh series.