1st Edition

Numerical Analysis 1995



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ISBN 9780582276338
Published April 11, 1996 by Chapman and Hall/CRC
248 Pages

USD $195.00

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Book Description

This volume contains invited papers presented at the 16th Dundee Biennial Conference on Numerical Analysis held at the University of Dundee, 27-30 June, 1995. The Dundee Conferences are important events in the numerical analysis calendar, and the thirteen papers published here represent accounts of recent research work by leading numerical analysts covering a wide range of fields of interest. The book is a valuable guide to the direction of current research in many areas of numerical analysis. It will be of particular interest to graduate students and research workers concerned with the theory and application of numerical methods for solving ordinary and partial differential equations, with emphasis on problems in fluid dynamics. It also contains contributions to research into methods of linear algebra, numerical methods for optimisation problems and surface fitting.

Table of Contents

Moving mesh methods with applications to blow-up problems for PDEs
Multidimensional schemes for nonlinear systems of hyperbolic conservation laws
ODE solving via automatic differentiation and rational prediction
Discretised eigenvalue problems, LBB constants and stabilization
How mathematics can help in design of mechanical structures
Variational error bounds for radial basis functions
Cheap enhancement of symplectic integrators
Finite volume methods
Orthogonal eigenvectors without GramñSchmidt
Fast & robust solvers for time-discretised incompressible Navier-Stokes equations
A posteriori error analysis and global error control for adaptive finite volume approximations of hyperbolic problems
Direct search methods: once scorned, now respectable Computational challenges in the solution of nonlinear oscillatory multibody dynamics systems

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