Contributions In Numercial Mathematics

Ravi P Agarwal

• Publisher: World Scientific
• Year: 1993
• Print ISBN: 9789810214371, 9789810214371
• eBook ISBN: 9789812798886
• Topic: Biological Sciences
• Subtopic: Science General
• Index: Biological Sciences

World Scientific Series in Applicable Analysis (WSSIAA) aims at reporting new developments of a high mathematical standard and of current interest. Each volume in the series shall be devoted to mathematical analysis that has been applied, or potentially applicable to the solutions of scientific, engineering and social problems.This second volume of WSSIAA contains 34 research articles on numerical mathematics by leading mathematicians from all over the world. This volume is dedicated to the memory of Lothar Collatz (1910 - 1990) for his significant contributions to numerical mathematics.Contributors: G Adomian, E L Allgower, C T H Baker, B Beckermann, R W Brankin, C Brezinski, L Brugnano, J C Butcher, M D Buhmann, J R Cash, R Chapko, H-L Chen, Min Chen, I Galligani, T J Garratt, K Georg, I Gladwell, D Greenspan, C W Groetsch, E Hairer, P J van der Houwen, A Iserles, L Jay, K Kaji, A Q M Khaliq, M E Kramer, R Kress, Chun Li, D S Lubinsky, R M M Mattheij, C A Micchelli, J J H Miller, T Mitsui, G Monegato, G Moore, M Mori, M T Nakao, S P Nørsett, T Ojika, T Ooura, S Prössdorf, R Rach, Y Saito, M Sakai, T Sakurai, L F Shampine, B P Sommeijer, A Spence, H J Stetter, R Temam, K L Teo, V Thomée, D Trigiante, T Torii, E H Twizell, R A Usmani, D A Voss, J Walker, Song Wang, G A Watson, J Wimp, K H Wong, N-Y Zhang.

Table of contents

• Contents
• Contributors
• Preface
• Solution of Nonlinear Partial Differential Equations in One, Two, Three, and Four Dimensions
• Exploiting Symmetry in 3D Boundary Element Methods
• ON THE STABILITY OF LINEAR MULTISTEP FORMULAE ADAPTED FOR VOLTERRA FUNCTIONAL EQUATIONS
• RKSUITE: A Suite of Explicit Runge-Kutta Codes
• Biorthogonality and conjugate gradient-type algorithms
• TRIDIAGONAL MATRICES AND NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS
• Runge–Kutta Methods for Neutral Differential Equations
• General linear methods for the parallel solution of ordinary differential equations
• ITERATED DEFERRED CORRECTION ALGORITHMS FOR TWO-POINT BVPs
• ON A QUADRATURE METHOD FOR A LOGARITHMIC INTEGRAL EQUATION OF THE FIRST KIND
• OPTIMAL RECOVERY FOR SOME CLASSES OF FUNCTIONS WITH L2(R)-BOUNDED FRACTIONAL DERIVATIVES
• NONLINEAR GALERKIN METHOD WITH MULTILEVEL INCREMENTAL UNKNOWNS
• SPLITTING METHODS FOR SOLVING LARGE SYSTEMS OF LINEAR ORDINARY DIFFERENTIAL EQUATIONS ON A VECTOR COMPUTER
• A GENERALISED CAYLEY TRANSFORM FOR THE NUMERICAL DETECTION OF HOPF BIFURCATIONS IN LARGE SYSTEMS
• COMPLETELY CONSERVATIVE NUMERICAL METHODOLOGY FOR N-BODY PROBLEMS WITH DISTANCE-DEPENDENT POTENTIALS
• Inclusions for the Moore-Penrose Inverse with Applications to Computational Methods
• IMPLICIT RUNGE-KUTTA METHODS FOR HIGHER INDEX DIFFERENTIAL-ALGEBRAIC SYSTEMS
• Parallel Jacobi Iteration in Implicit Step-by-Step Methods
• Solving non-linear equations by preconditioned time stepping using an implicit integration method
• CONVERGENCE OF PRODUCT INTEGRATION RULES FOR WEIGHTS ON THE WHOLE REAL LINE
• AN ε-UNIFORMLY CONVERGENT FINITE BOX METHOD FOR A SINGULARLY PERTURBED ADVECTION-DIFFUSION EQUATION
• UNIFORM CONVERGENCE ESTIMATES FOR A COLLOCATION AND A DISCRETE COLLOCATION METHOD FOR THE GENERALIZED AIRFOIL EQUATION
• DOUBLE EXPONENTIAL FORMULAS FOR FOURIER TYPE INTEGRALS WITH A DIVERGENT INTEGRAND
• Computable L°° error estimates in the finite element method with applications to nonlinear elliptic problems
• A NUMERICAL METHOD FOR MULTI-SOLUTIONS OF A SYSTEM OF NONLINEAR ALGEBRAIC EQUATIONS
• T-stability of Numerial Scheme for Stochastic Differential Equations
• SHAPE PRESERVING APPROXIMATION BY RATIONAL SPLINES
• Multivariate Polynomial Equations as Matrix Eigenproblems
• BACKWARD EULER TYPE METHODS FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH NONSMOOTH DATA
• GLOBAL METHOD FOR THE POLES OF ANALYTIC FUNCTION BY RATIONAL INTERPOLANT ON THE UNIT CIRCLE
• SEQUENTIAL AND PARALLEL ALGORITHMS FOR SECOND-ORDER INITIAL-VALUE PROBLEMS
• SOLVING GENERALIZATIONS OF ORTHOGONAL PROCRUSTES PROBLEMS
• SOME EXPLICIT FORMULAS FOR PADE APPROXIMANTS OF RATIOS OF HYPERGEOMETRIC FUNCTIONS
• THE SEQUENTIAL GRADIENT-RESTORATION ALGORITHM FOR A CLASS OF OPTIMAL PROBLEMS: CONVERGENCE ANALYSIS