Numerical Analysis 1995
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.
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ODE solving via automatic differentiation
Discretised eigenvalue problems
How mathematics can help in design
Variational error bounds for radial basis functions
Finite volume methods
Orthogonal eigenvectors without GramSchmidt
Fas robust solvers
A posteriori error analysis and global error control
Direct search methods once scorned now respectable
L R Petzold Computational challenges in the solution
List of Contributed Talks
advection equations algorithm applied approach automatic differentiation blow-up boundary conditions cell vertex scheme components Computer Science consider constant convergence coordinate corresponding defined denotes Department of Mathematics derivatives direct search methods discrete discretisation Dundee eigenvectors error estimate Euler equations evaluations example Figure finite element methods finite volume methods flow formulation function values given global error grid ground-structure Hamiltonian HOP methods hyperbolic initial integrators interpolation iteration Jacobian L2 norm linear Math matrix minimal MMPDE molecular dynamics moving mesh multidirectional search multigrid Navier-Stokes equations Nelder-Mead method nodal nodes nonlinear norm Numerical Analysis numerical method numerical solution obtain optimization oscillation oscillatory PDEs piecewise polynomial posteriori error bounds preconditioning Ritz value Runge-Kutta methods SIAM simplex smooth solving spline stability step stiff submatrix symmetric symplectic Taylor coefficients Taylor series Theorem theory University University of Dundee value problem variables vector velocity vertices zero