Advances on Computer Mathematics and Its Applications

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World Scientific, 1993 - Computers - 373 pages
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This volume contains selected papers of the proceedings of the first Hellenic Conference on Mathematics and Informatics (HERMIS '92). The main theme for HERMIS '92 Conference was Computer Mathematics, with special emphasis on Computational Mathematics, Operational Research and Statistics, and Mathematics in Economic Science. The presented papers of the HERMIS Conference have been classified into the following technical sessions: Numerical solution of Differential Equations, Parallel Processing and Parallel Algorithms, Optimization and Approximation, Algorithms in Operational Research and Control Theory, Statistical Methods and Analysis, Mathematics in Economic Science, Artificial Intelligence and Data Bases Technology.In addition, a number of selected research articles published recently in the Hellenic Mathematical Society Bulletin in the form of special issues on Computer Mathematics (Volumes 31 and 32) are also included.
 

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Contents

A Dual Algorithm with Multiple Constraint Additions
22
On the Computation of Zeros and Turning Points of Bessel Functions
53
Approximate Solution of O D E s in Banach Space Rational
73
Efficient RungeKutta Methods for Hamiltonian Equations
107
Euclids Algorithm and Accelerated Iterative Methods
125
An Efficient Finite Element Method for Nonlinear Diffusion
150
Generalized Stability of Difference Method for Nonlinear Initial
167
An eUniformly Convergent NonConforming Finite Element
177
Parallel Algorithms in Numerical Linear Algebra
211
The Numerical Solution of Large Finite Element Systems
237
Integrated Portable Problem Solving Environments for
257
A SubdomainbySubdomain Conjugate Gradient Method
272
Parallel Algorithms for Integer Factorisation
288
Keeping Optimality in Algorithms
296
Visualizing Mathematics and Computation
304
Numerical Computations for Solidification Problems with Change
319

High Resolution Schemes for Hyperbolic Conservation Laws
188

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