Numerical Analysis: A R Mitchell 75th Birthday Volume
A R Mitchell 75th Birthday Volume
- 380 pages
- English
- PDF
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Numerical Analysis: A R Mitchell 75th Birthday Volume
A R Mitchell 75th Birthday Volume
About This Book
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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Table of contents
- CONTENTS
- PREFACE
- A. R. MITCHELL: SOME BIOGRAPHICAL AND MATHEMATICAL NOTES
- ADDENDUM: THE FINITE ELEMENT METHOD AND COMPUTER AIDED GEOMETRIC DESIGN
- APPENDIX 1: LIST OF PUBLICATIONS OF A. R. MITCHELL
- APPENDIX 2: PhD STUDENTS OF A. R. MITCHELL
- FIXED POINTS AND SPURIOUS MODES OF A NONLINEAR INFINITE-STEP MAP
- RUNGE-KUTTA METHODS AS MATHEMATICAL OBJECTS
- RUNGE-KUTTA METHODS ON MANIFOLDS
- NUMERICAL SOLUTIONS OF ONE AND TWO DIMENSIONAL HYPERBOLIC SYSTEMS MODELLING A FLUIDIZED BED
- NUMERICAL EXPERIMENTS FOR A NONOVERLAPPING DOMAIN DECOMPOSITION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS
- A PIECEWISE UNIFORM ADAPTIVE GRID ALGORITHM FOR NONLINEAR DISPERSIVE WAVE EQUATIONS
- DIAGONAL DOMINANCE AND POSITIVE DEFINITENESS OF UPWIND APPROXIMATIONS FOR ADVECTION DIFFUSION
- CHAOS IN NUMERICS
- EXACT DIFFERENCE FORMULASFOR LINEAR DIFFERENTIAL OPERATORS
- AN EXPLICIT SYMPLECTIC INTEGRATOR WITH MAXIMAL STABILITY INTERVAL
- A TWO-STEP ITERATIVE METHOD
- COERCIVITY FOR ONE-DIMENSIONAL CELL VERTEX APPROXIMATIONS
- A METHOD OF LINES PACKAGE, BASED ON MONOMIAL SPLINE COLLOCATION, FOR SYSTEMS OF ONE DIMENSIONAL PARABOLIC DIFFERENTIAL EQUATIONS
- SOLVING LEAST SQUARES PROBLEMSON PARALLEL VECTOR PROCESSORS
- ASPECTS OF M-ESTIMATION AND h FITTING PROBLEMS
- ON GENERALIZED BERNSTEIN POLYNOMIALS
- THE FINITE VOLUME ELEMENT METHODFOR ELLIPTIC AND PARABOLIC EQUATIONS
- NUMERICAL SOLUTION OF BURGERS' EQUATION USING A TWO-GRID METHOD
- THE EFFECTIVENESS OF DROP-TOLERANCE BASED INCOMPLETE CHOLESKY PRECONDITIONERS FOR THE CONJUGATE GRADIENT METHOD
- Appendix A 7. Summary of the Harwell-Boeing test matrices
- CREATING AND COMPARING WAVELETS
- THE NUMERICAL ANALYSIS OF SPONTANEOUS SINGULARITIES IN NONLINEAR EVOLUTION EQUATIONS