Numerical Mathematics Singapore 1988: Proceedings of the International Conference on Numerical Mathematics held at the National University of Singapore, May 31–June 4, 1988

Front Matter....Pages I-XIII
Efficient Computation of Higher Sturm-Liouville Eigenvalues....Pages 1-9
An Elimination Algorithm for the Computation of All Zeros of a System of Multivariate Polynomial Equations....Pages 11-30
Advances in the p and h-p Versions of the Finite Element Method. A Survey....Pages 31-46
Convergence of Linear Multistep Methods for a Class of Delay-Integro-Differential Equations....Pages 47-59
Quasi-Linear Extrapolation Processes....Pages 61-78
A Semi-Implicit Numerical Method for a Fluid-Dynamics Problem in the Presence of Long-Range Forces....Pages 79-86
A Fourth Order Spline Method for Singular Two-Point Boundary Value Problems....Pages 87-93
A Necessary and Sufficient Condition for the Convergence of Certain Iterative Methods for Nonlinear Equations....Pages 95-104
Regular Domains of Tridiagonal Matrices....Pages 105-113
Inclusion of Solutions of Some Singular Boundary Value Problems in Two and Three Dimensions....Pages 115-125
Global Iterative Solutions of Elementary Transcendental Equations....Pages 127-136
Uniform Approximations for the Zeros of Laguerre Polynomials....Pages 137-148
Shape Preserving Interpolation by Parametric Rational Cubic Splines....Pages 149-158
Modelling with Arithmetic....Pages 159-177
Solution of Ill-Posed Problems by Means of Truncated SVD....Pages 179-192
Indefinite Integration of Function Involving Logarithmic Singularity by the Chebyshev Expansion....Pages 193-200
Smoothed Predictor-Corrector Methods for Solving Partial Differential Equations....Pages 201-224
Nonlinear Stability and Asymptotics of O.D.E. Solvers....Pages 225-236
Conjugate Unsteady Heat Transfer from a Spherical Droplet at Low Reynolds Numbers....Pages 237-248
Application of Finite Elements in Computing Permanent Magnet Fields....Pages 249-257
On a Semi Discrete Method for a Class of Parabolic Boundary Value Problems....Pages 259-272
Quasi-Random Sequences in Numerical Practice....Pages 273-284
Computational Aspect of Dynamic Analysis of Elastoplastic Arches....Pages 285-294
Interpolation on the Simplex by Homogeneous Polynomials....Pages 295-305
A Characteristic Scheme for Solving the Transient Two-Phase Flow Equations Applicable to The Inlet System of a Reciprocating Engine....Pages 307-321
Stabilizing Boundary Value Problems by Perturbing the Boundary Conditions....Pages 323-333
Front Tracking For the Conductive Stefan Problem with Surface Tension....Pages 335-347
Mixed Finite Element Methods for the Semiconductor Device Equations....Pages 349-356
Moment-Preserving Spline Approximation and Turán Quadratures....Pages 357-365
The Double Exponential Formulas for Numerical Integration over the Half Infinite Interval....Pages 367-379
Iterative Solution of Non-Symmetric Systems of Linear Equations....Pages 381-390
On a Theoretical Justification of Adaptive Gridding for Finite Difference Approximations....Pages 391-401
Numerical Computation with Validation....Pages 403-417
Galerkin Boundary Element Method with Single Layer Potential....Pages 419-427
Superconvergence in the Collocation and Qualocation Methods....Pages 429-441
Time-Dependent Dirichlet Boundary Conditions and Fractional Step Methods....Pages 443-455
Minimization of a Scaled Tau Coefficient Using a Cyclic Coordinate Descent Algorithm....Pages 457-466
A Unified Computational Method for Several Stochastic Optimal Control Problems....Pages 467-476
On the Numerical Solution of Integro-Differential Equations of Parabolic Type....Pages 477-493
Numerical Methods for Sixth-Order Boundary Value Problems....Pages 495-506
Finite Element Analysis on a Highly Parallel Multiprocessor Architecture....Pages 507-518
Some Sorting Algorithms for Parallel Machines....Pages 519-526