Visualisation Papers

advise

Linear Systems of Equations and Applications

Deflation for linear systems

Generalized cross validation and drought modelling

Generalized cross validation and supercomputing

Adaptive GMRES

Block Toeplitz preconditioning for static and dynamic systems

On the performance of various adaptive preconditioned GMRES strategies with J. Erhel, 1997

Fast Generalised Cross Validation, R.Sidje, A.Williams and K.Burrage, 1998

The numerical solution of Ordinary Differential Equations

Butcher appreciation

Extrapolation and smoothing methods

Explicit multivalue methods

Monoimplicit Runge-Kutta methods

A four stage index two DIRK, R.Williams, K. Burrage, I. Cameron and M. Kerr, 1999

The numerical solution of Stochastic Ordinary Differential Equations

Stochastic ODE methods

High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations, K. Burrage and P. Burrage, 1996.

A bound on the maximum strong order of Runge-Kutta methods for stochastic ordinary differential equations, K. Burrage, P. Burrage, and J. belward, 1996.

General order conditions for Stochastic Runge-Kutta Methods for both commuting and non-commuting Stochastic Ordinary Differential Equation Systems, K. Burrage and P. Burrage, 1997.

High strong order methods for Non-commutative Stochastic Ordinary Differential Equation Systems and the magnus formula, K. Burrage and P. Burrage, 1998.

A Note On The Stability Properties Of The Euler Methods For Solving Stochastic Differential Equations, K. Burrage and T. Tian, 1999.

Adams type methods for the numerical solution of Stochastic Differential Equations, L. Brugnano, K. Burrage and P.Burrage, 1999.

The composite Euler Method for stiff Stochastic Differential Equations, K. Burrage and T. Tian, 1999.

Stochastic methods for ill-posed problems, K. Burrage and S. Piskarev, 1999.

Parallel ODE methods

Survey article

Review of parallel methods

Waveform implementation part I

Waveform implementation part II

Preconditioning waveform relaxation

Pseudo-spectral methods

Invited SIAM article on parallel ODE methods

Accelerating the convergence of waveform relaxation methods, J.Sand and K. Burrage, 1995.

A parallel matrix-free implementation of a Runge-Kutta code, K. Burrage, C.Eldershaw and R.Sidje, 1997.

Parallel iterated methods based on multistep Runge-Kutta methods of Radau type, K. Burrage and H. Suhartano, 1996.

Parallel iterated methods based on multistep Runge-Kutta methods of Radau type for stiff problems, K. Burrage and H. Suhartano, 1996.

Parallel Iterated Methods based on Variable step-size Multistep Runge-Kutta Methods of Radau type for Stiff Problems, H. Suhartano and K. Burrage, 1997.

NSMRK: A parallel implementation of MRK methods for nonstiff ODEs, H. Suhartanto and K. Burrage, 1999.

SMRK: A parallel implementation of MRK methods for stiff ODEs, H. Suhartanto and K. Burrage, 1999.

Parallel Partial Differential Equation Methods

Parallel multigrid implementation

Multigrid methods for Navier Stokes

Engineering applications - Sintering

Simulation methods for the process of sintering copper

Data Mining Techniques

A Parallel finite element surface fitting algorithm for data mining, 1999, P. Christen, I. Altas, M.Hegland, S.Roberts, K.Burrage and R.Sidje.