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Publications for 1990-1994

1994

Berzins, M; Ware, J M. Reliable finite volume methods for the Navier-Stokes equations in: Hebeker, F K & Rannacher, R ;Wittum, G (editors) Numerical Methods for the Navier Stokes Equations, Notes on Numerical Fluid Mechanics, vol. 47, pp. 1-8 Vieweg. 1994.

Hodgson, D C; Jimack, P K. Parallel generation of partitioned, unstructured meshes in: Topping, B H V & Papadrakakis, M (editors) Advances in Parallel and Vector Processing for Structural Mechanics, pp. 147-158 Civil-Comp Press. 1994.

Jimack, P K. An optimal finite element mesh for linear elastic structural analysis in: Papadrakakis, M & Topping, B H V (editors) Advances in Post and Preprocessing for Finite Element Technology, pp. 157-168 Civil-Comp Press. 1994.

Pennington, S V; Berzins, M. New NAG Library software for first order partial differential equations. ACM Transactions on Mathematical Software, vol. 20, pp. 63-99. 1994.

1993

Hodgson, D C; Jimack, P K. Efficient mesh partitioning for parallel PDE solvers on distributed memory machines in: Sincovec, R F, Keyes, D E, Leuze, M R, Petzold, L R & Reed, D A (editors) Proceedings of the 6th SIAM Conference on Parallel Processing for Scientific Computing, vol. II, pp. 962-970 SIAM Press. 1993.

Jimack, P K. A new approach to finite element error control for time-dependent problems in: Baines, M J, Morton, K W (editors) Numerical Methods for Fluid Dynamics 4, pp. 567-573 Oxford University Press. 1993.

Walshaw, C H; Berzins, M. Enhanced dynamic load-balancing of adaptive unstructured meshes in: Sincovec, R F, Keyes, D E, Leuze, M R, Petzold, L R & Reed, D A (editors) Proceedings of the 6th SIAM Conference on Parallel Processing for Scientific Computing, vol. II, pp. 971-978 SIAM Press. 1993.

1992

Berzins, M; Dew, P M; Hillen, S. Exploiting parallelism for adaptive CFD software. Parallelogram, vol. (Feb 1992), pp. 14-16. 1992.

Berzins, M; Furzeland, R M. An adaptive theta method for the solution of stiff and non-stiff differential equations. Applied Numerical Mathematics, vol. 9, pp. 1-19. 1992.

Berzins, M; Lawson, J; Ware, J M. Spatial and temporal error control in the adaptive solution of systems of conservation laws in: Vichnevetsky, R., Knight, D. & Richter, G. (editors) Advances in Computer Methods for Partial Differential Equations - VII, pp. 60-66 IMACS. 1992.

Berzins, M; Preston, A J; Dew, P M; Scales, L E. Towards efficient D.A.E. solvers for the solution of dynamic simulation problems in: Gladwell, I, Cash, J. & Iserles, A. (editors) Proceedings of the IMA 1989 ODE Conference, pp. 299-302 Oxford University Press. 1992.

Brodlie, K W; Berzins, M; Dew, P M; Poon, A; Wright, H. Visualization and its use in scientific computation in: Gaffney, P W & Houstis, E N (editors) Programming Environments for High-Level Scientific Problem Solving, pp. 293-303 Elsevier Science. 1992.

Jimack, P K. A new method of spatial error control for the finite element method on convection dominated problems in: Vichnevetsky, R., Knight, D. & Richter, G. (editors) Advances in Computer Methods for Partial Differential Equations - VI, pp. 378-382 IMACS. 1992.

Jimack, P K. On steady and large time solutions of the semi-discrete moving finite element equations for one-dimensional diffusion problems. IMA Journal of Numerical Analysis, pp. 545-564. 1992.

Lawson, J; Berzins, M. Towards and automatic algorithm for the numerical solution of parabolic P.D.E.s. using the method of lines in: Gladwell, I, Cash, J. and Iserles, A. (editors) Proceedings of I.M.A. 1989 O.D.E. Conference, pp. 309-322 Oxford University Press. 1992.

Ware, J M; Berzins, M. Finite volume techniques for time-dependent fluid-flow problems in: Vichnevetsky, R., Knight, D. & Richter, G. (editors) Advances in Computer Methods for Partial Differential Equations - VII, pp. 794-798 IMACS. 1992.

1991

Berzins, M; Baehmann, P; Flaherty, J; Lawson, J. Towards an automated finite element solver for time-dependent fluid-flow problems in: Whiteman, J.R. (editors) MAFELAP 90, pp. 181-188 Academic Press. 1991.

Berzins, M; Brankin, R; Pennington, S V. The D03P subchapter of the NAG Library - - software commercially marketed by NAG Ltd.. 1991.

Berzins, M; Dew, P M. Algorithm 690: Chebyshev polynomial software for elliptic parabolic systems of PDE's. ACM Transactions on Mathematical Software, vol. 17, pp. 178-206. 1991.

Lawson, J; Berzins, M; Dew, P M. Balancing space and time errors in the method of lines for parabolic equations. SIAM Journal on Scientific and Statistical Computing, vol. 12, pp. 573-594. 1991.

Preston, A J; Berzins, M. Algorithms for the location of discontinuities in dynamic simulation problems. Computers and Chemical Engineering, vol. 15, pp. 701-713. 1991.

1990

Berzins, M. Developments in NAG Library software for parabolic equations in: Mason JC & Cox MG (editors) Scientific Software Systems, pp. 59-72 Chapman & Hall. 1990.

Berzins, M; Preston, A J; Dew, P M. Integration algorithms for the dynamic simulation of production process in: McKee S, Owens D & Manely J (editors) Proceedings of the Third European Conference for Mathematics in Industry, pp. 265-271 Kluwer Academic Publishers. 1990.

Skeel, R D; Berzins, M. A method for the spatial discretisation of parabolic equations. SIAM Journal on Scientific and Statistical Computing, vol. 11, pp. 1-32. 1990.


School of Computing, University of Leeds