## Numerical Analysis: A.R. Mitchell 75th Birthday VolumeThis 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. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### 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 |

Exact Difference Formulas for Linear Differential Operators | 155 |

### Common terms and phrases

accuracy algebraic algorithm Anal applied approximation based fill Bernstein polynomials boundary conditions bounded cell Cholesky coefficients Comp components Comput consider constant convergence corresponding D. F. Griffiths defined denote derivative discrete discretisation domain decomposition method drop tolerance E-mail effective order eigenvalues elliptic estimate evaluations example Figure fill level filter finite difference finite element method finite volume fixed point function Galerkin Galerkin methods given grid Hamiltonian systems homoclinic homoclinic orbit initial condition integration interpolation iteration KdV equation linear Lopez-Marcos M-estimation manifolds Math Mathematics matrix mesh nonlinear Numerical Analysis numerical methods numerical solution obtained optimal orbits order four parabolic parameter Partial Differential Equations piecewise polynomial positive definite preconditioner problem processors quadrature Runge-Kutta methods Sanz-Serna satisfy scale Section SIAM soliton solving space spatial stability interval step subdomains superconvergence symmetric symplectic Table theorem time-step University of Dundee upwind values variable vector zero