Numerical Approximation of Partial Differential Equations, Selection of Papers Presented at the International Symposium on Numerical: Analysis held at the Polytechnic University of Madrid

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Page iii

Copyright page
Page iv

Preface
Pages v-vi
Eduardo L. Ortiz

International Symposium of Numerical Analysis
Page vii

Recent Progress in the Two-Dimensional Approximation of Three - Dimensional Plate Models in Nonlinear Elasticity Original Research Article
Pages 3-19
Philippe G. Ciarlet

Formulation of Alternating-Direction Iterative Methods for Mixed Methods in Three Space Original Research Article
Pages 21-30
Jim Douglas Jr., Ricardo Durén, Paola Pietra

Iterative Methods for Singular Systems Original Research Article
Pages 31-43
Ivo Marek

On Different Numerical Methods to Solve Singular Boundary Problems Original Research Article
Pages 45-68
Francisco Michavila

Some Numerical Techniques for the Solution of Problems Related to Semiconductor Devices Original Research Article
Pages 69-81
John J.H. Miller

Recent Progress in the Numerical Treatment of Singuiar Problems for Partial Differential Equations With Techniques Based on the Tau Method Original Research Article
Pages 83-98
Eduardo L. Ortiz

Present State and New Trends in Parallel Computation Original Research Article
Pages 99-108
Rafael Portaencasa, Carlos Vega

Finite Element Methods for Treating Problems Involving Singularities, With Applications to Linear Elastic Fracture. Original Research Article
Pages 109-120
J.R. Whiteman

Finite Element Solution of the Fundamental Equations of Semiconductor Devices Original Research Article
Pages 121-128
Miloś Zlámal

On Aitken-Neville Formulae for Multivariate Interpolation Original Research Article
Pages 133-140
M. Gasca, E. Lebrón

On Some Methods of the Construction of Smoothing Splines Original Research Article
Pages 141-150
Jiří Hřebíček, František àik

Generalized L-Splines as A Solution of N-Point Boundary Value Problem Original Research Article
Pages 151-160
Carmen Simerská

Computing Errorbounds for Eigenpairs Using the Precise Scalarproduct Original Research Article
Pages 161-169
Gotz Alefeld

Some Results About the AOR Iterative Method Original Research Article
Pages 171-179
M. Madalena Martins

On The Speed of Convergence of the Total Step Method in Interval Computations Original Research Article
Pages 181-189
Günter Mayer

On The Stability of Variable Stepsize Adams Methods in Nordsieck Form Original Research Article
Pages 193-203
Manuel Calvo, Francisco J. Lisbona, Juan I. Montijano

The Preconditioned Conjugate Gradient Method for Solving Elliptic Difference Equations Original Research Article
Pages 205-217
D.J. Evans, I.C. Demetriou

Accelerated Monotone Scheme for Finite Difference Equations Concerning Steady-State Prey-Predator Interactions Original Research Article
Pages 219-233
Anthony W. Leung, Diego A. Murio

A Note on Three-Term Recurrences and Their Numerical Treatment Original Research Article
Pages 235-240
Ivo Marek, Karel Žitný

Mixed Finite Elements Methods for Convection-Diffusion Problems Original Research Article
Pages 241-250
Jeam-Marie Thomas

Numerical Methods of Solution of Evolution Equations of Hyperbolic Type Original Research Article
Pages 251-258
Milan Pultar

Some Aspects of Numerical Solution of Evolution Equations by the Method of Discretization in Time Original Research Article
Pages 259-268
Karel Rektorys

Some Results About the Spectrum of the Chebyshev Differencing Operator Original Research Article
Pages 271-284
Daniele Funaro

On A New Boundary Element Spectral Method Original Research Article
Pages 285-292
F.K. Hebeker

On Rational Approximation to Semigroups of Linear Operators Original Research Article
Pages 293-296
Arturo Ribagorda, Carlos Vega

A Quick Survey of Recent Developments and Applications of the τ-Method Original Research Article
Pages 297-308
Manuel R. de J. da Silva

Cubic and Quintic Spline Extrapollated Collocation Methods for Two-Point Boundary Value Problems Original Research Article
Pages 309-319
Maria Joana Soares

Piecewise Polynomial Approximations for Cauchy Singular Integrodifferential Equations Original Research Article
Pages 321-328
Peter Linz

Methods of Computation of Critical Points of Nonlinear Functionals Original Research Article
Pages 331-340
Alexander Eydeland

Numerical Solutions of Degenerate and Pseudoparabolic Variational Inequalities Original Research Article
Pages 341-350
Francesco Scarpini

Numerical Conformal Mapping Techniques for the Solution of Two-Dimensional Laplacian Boundary Value Problems Original Research Article
Pages 351-361
N. Papamichael, M.K. Warby

Linear Approximation, Asymptotic Expansion and Mixed Problem for Some Semi-Linear Wave Equation in I Dimension Original Research Article
Pages 363-374
Pham Ngoc Dinh Alain

Application of Characteristics Method with Variable Time-Step to Steady-State Convection-Diffusion Problems Original Research Article
Pages 377-386
Alfredo Bermúdez, José Durany

Homogeneization of Slightly Compressible Inviscid Flows Original Research Article
Pages 387-395
T. Chacon, O. Pironneau

Continuation of Periodic Solutions in Ordinary Differential Equations with Application to the Hodgkin-Huxley Model Original Research Article
Pages 397-409
Martin Holodniok, Milan Kubíček

A Newton/BI-Conjugate Gradient Continuation Procedure for Buoyancy Flows Original Research Article
Pages 411-424
S. Sivaloganathan, J.S. Rollett

Ist Numerical Schemes for Nonlinear Evolution Equations of Physical Interest Original Research Article
Pages 425-433
Thiab R. Taha, Mark J. Ablowitz