Numerical Analysis: A.R. Mitchell 75th Birthday Volume

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World Scientific, 1996 - Nature - 370 pages
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This volume is intended to mark the 75th birthday of A R Mitchell, of the University of Dundee. It consists of a collection of articles written by numerical analysts having links with Ron Mitchell, as colleagues, collaborators, former students, or as visitors to Dundee. Ron Mitchell is known for his books and articles contributing to the numerical analysis of partial differential equations; he has also made major contributions to the development of numerical analysis in the UK and abroad, and his many human qualitites are such that he is held in high regard and looked on with great affection by the numerical analysis community. The list of contributors is evidence of the esteem in which he is held, and of the way in which his influence has spread through his former students and fellow workers. In addition to contributions relevant to his own specialist subjects, there are also papers on a wide range of subjects in numerical analysis.
 

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Contents

The Finite Element Method and Computer Aided
9
RuggeKutta Methods as Mathematical Objects
39
RungeKutta Methods on Manifolds
57
Numerical Solutions of One and Two Dimensional Hyperbolic
71
Numerical Experiments for a Nonoverlapping Domain
85
A Piecewise Uniform Adaptive Grid Algorithm for Nonlinear
99
Diagonal Dominance and Positive Definiteness of Upwind
125
Chaos in Numerics
133
A TwoStep Iterative Method
177
A Method of Lines Package Based on Monomial Spline Collocation
207
Solving Least Squares Problems on Parallel Vector Processors
225
Aspects of MEstimation and i Fitting Problems
247
On Generalized Bernstein Polynomials
263
A Generalized Discrete Multiple Scales Analysis Technique
291
Numerical Solution of Burgers Equation using a TwoGrid
305
Copyright

Exact Difference Formulas for Linear Differential Operators
155

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