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  1. Berzins M. and Dew P.M. A note on the extension of the Chebyshev method to quasi-linear parabolic p.d.e.s. Int. J. Comp. Math., 8, pp.249-263 (1980).

  2. Berzins M. and Dew P.M. A Generalized Chebyshev Method for Non-linear Parabolic Equations in One Space Variable. I.M.A. Journal on Numerical Analysis, Vol. 1, pp. 469-487 (1981).

  3. Berzins M., Dew P.M. and Furzeland R.M. Software for time-dependent problems, in "P.D.E. Software: Modules, Interfaces and Systems". proc. of 1983 IFIPS Conference, (Ed.s) B. Engquist and J. Rice. North Holland (1983).

  4. Dew P.M., Buckley T.F. and Berzins M. Application of VLSI Devices to Computational Problems in the Gas Industry. Dept. of Computer Studies, Report no 163, The University, Leeds (1983).

  5. Berzins M. and Furzeland R.M. A User's Manual for SPRINT - A Versatile Software Package for Solving Systems of Algebraic Ordinary and Partial Differential Equations: Part 1 - Algebraic and Ordinary Differential Equations. Report TNER.85.058, Shell Research Ltd, Thornton Research Centre, Chester (1985).

  6. Berzins M. A C1 Interpolant for Codes Based on Backward DifferentiationFormulae. Applied Numerical Mathematics, Vol. 2, pp. 109-118 (1986).

  7. Berzins M. and Furzeland R.M. A User's Manual for SPRINT - A Versatile Software Package for Solving Systems of Algebraic Ordinary and Partial Differential Equations: Part 2 - Partial Differential Equations. Report TNER.86.050, Shell Research Ltd, Thornton Research Centre, Chester (1986).

  8. Berzins M. and Dew P.M. A Note on C0 Chebyshev Methods for Parabolic Equations. I.M.A. Journal of Numerical Analysis Vol. 7, pp.15-37 (1987).

  9. Berzins M., Furzeland R.M. and Dew P. M. Software Tools for Time- Dependent Differential Equations, pp. 35-50 in "Simulation and Optimisation of Large Systems" (Ed.) A.J. Osiadacz. O.U.P. (1988).

  10. Berzins M. Global Error Estimation in the Method of Lines for ParabolicEquations. SIAM Jour. of Sci. and Stat. Comp. Vol.9, pp. 687-703 (1988).

  11. Berzins M., Brankin R. and Gladwell I. Design of Stiff Integrators in the N.A.G. Library. Signum Bulletin Vol. 23, No. 2, pp. 16-24, April 1988.

  12. Berzins M., Furzeland R.M. and Scales L.E. A User's Manual for SPRINT - A Versatile Software Package for Solving Systems of Algebraic Ordinary and Partial Differential Equations: Part 3 - Advanced Use of SPRINT. Report TNER.88.034, Shell Research Ltd, Thornton Research Centre, Chester (1988).

  13. Berzins M. Developments in NAG Library Software for Parabolic Equations, pp. 59-72 in "Scientific Software Systems" (Ed.) J.C. Mason. Chapman and Hall (July 1989).

  14. Berzins M., Furzeland R.M. and Dew P. M. Developing Software for Time-dependent Problems using the Method of Lines and Differential Algebraic Integrators, Journal of Appl. Numer. Math. Vol. 5, pp. 375-397 (1989).

  15. Berzins M., Preston A.J. and Dew P.M. Integration Algorithms for the dynamic simulation of production processes. pp. 265-271 in "Proc of Third European Conference for Mathematics in Industry" (Eds.) J. Manley et al. Kluwer Academic Publishers, Stuttgart (1990).

  16. Skeel R.D. and Berzins M. A Method for the Spatial Discretization of Parabolic Equations, SIAM Jour. of Sci. and Stat. Comp. Vol. 11 No. 1, pp.1-32 (1990).

  17. Berzins M., Baehmann P. Flaherty J.E. and Lawson J. Towards An Automated Finite Element Solver for Time-Dependent Fluid-Flow Problems, pp. 181-188 in MAFELAP 90, (Ed.) J.R. Whiteman. Academic Press (1991).

  18. Lawson J., Berzins M. and Dew P.M. Balancing Space and Time Errors in the Method of Lines for Parabolic Equations. SIAM Jour. of Sci. and Stat. Comp. Vol. 12, No. 3, pp. 573-594 (1991).

  19. Berzins M. and Dew P.M. Chebyshev Polynomial Software for Elliptic- Parabolic Systems of P.D.E.s, A.C.M. Transactions on Mathematical Software, Vol. 17, No 2, pp. 178-206 (1991).

  20. Preston A.J. and Berzins M. On Algorithms for the Location of Discontinuities for Dynamic Simulation Problems. Computers in Chem. Eng. Vol. 15, No 10, pp. 701-713 (1991).

  21. Brodlie K.W., Berzins M., Dew P.M., Poon A. and Wright H. Visualization and its Use in Scientific Computation, pp. 293-303 in "Programming Environments for High-Level Scientific Problem Solving", Elsevier (1992).

  22. Lawson J. and Berzins M. Towards an Automatic Algorithm for the Numerical Solution of Parabolic P.D.E.s Using the Method of Lines, pp. 309-322 in proc of I.M.A. 1989 O.D.E. Conference, (Eds.) I.Gladwell, Cash J. and Iserles A. Oxford University Press (1992).

  23. Berzins M., Preston A.J., Dew P.M. and Scales L.S. Towards Efficient D.A.E. Solvers for the Solution of Dynamic Simulation Problems, pp. 299-308 in proc of I.M.A. 1989 O.D.E. Conference, (Eds.) I. Gladwell, Cash J. and Iserles A. Oxford University Press (1992).

  24. Berzins M., Lawson J and Ware J. Spatial and Temporal Error Control in the Adaptive Solution of Systems of Conservation Laws, pp.60-66 in "Advances in Comp. Meths. for P.D.E.s VII" (Eds.) R. Vichnevetsky, D. Knight and G. Richter, IMACS, Rutgers Univ., New Jersey (1992).

  25. Ware J. and Berzins M. Finite Volume Techniques for Time-dependent Fluid-Flow Problems, pp. 794-798 in "Advances in Comp. Meths. for P.D.E.s VII" (Eds.) R. Vichnevetsky, D. Knight and G. Richter, IMACS, Rutgers Univ., New Jersey (1992).

  26. Berzins M. and 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).

  27. Berzins M, Dew P.M. and Hillen S. Exploiting Parallelism for Adaptive CFD Software. Parallelogram, pp. 14-16, February 1992.

  28. Walshaw C. and Berzins M. Enhanced Dynamic Load Balancing of adaptive Unstructured Meshes, pp 971-978 in Vol II of Proc. of 1993 SIAM Conference on Parallel Processing for Scientific Computing, (Eds.) R.F. Sincovec, D.E. Keyes, M.R. Leuze, L.R. Petzold and D.A. Reed, SIAM (1993).

  29. Berzins M. and Ware J. Towards An Automated Finite Element Solver for Time-Dependent Fluid-Flow Problems, pp. 299-306 in MAFELAP 93- Highlights, (Ed.) J.R. Whiteman, John Wiley (1993).

  30. Parker J., Berzins M., Cameron J.M., Collins K.A. and Sawyer C.M. Final Report on SERC/DTI Parallel Applications Programme Collaboration Between EPCC, Rolls Royce ands Leeds University. Edinburgh Parallel Computing Centre (September 1993).

  31. Berzins M. and Ware J. Reliable Finite Volume Methods for the Navier Stokes Equations, pp. 1-8 in "Numerical Methods for the Navier Stokes Equations" (Eds.) F.K. Hebeker, R. Rannacher and G. Wittum, Notes on Numerical Fluid Mechanics Number 47, Vieweg (1994).

  32. Pennington S.V. and Berzins M. New NAG Library Software for First-OrderSystems of Time-Dependent P.D.E.s. ACM Transactions on Mathematical Software Vol 20, No 1. pp. 63-99 (1994).

  33. Walshaw C. and Berzins M. Adaptive Time-dependent CFD on Distributed Unstructured Meshes, Unstructured Meshes, pp 191-198 in "Parallel Computational Fluid Dynamics: New Trends and Advances" (Eds.) A. Ecer et. al., Elsevier Science (1995).

  34. Sleigh P.A., Gaskell P.H., Berzins M., Ware J.M. and Wright N.G., A Reliable and Accurate Technique for the Modelling of Practically Occurring Open Channel Flow, in Proceedings of the Ninth International Conference on Numerical Methods in Laminar and Turbulent Flow, pp.881-892, Pineridge Press (1995).

  35. Ware J. and Berzins M. Adaptive Finite Volume Methods for Time-dependent P.D.E.s, pp 417-430 in "Modeling, Mesh Generation and Adaptive Numerical Methods for PDEs" (Eds.) I.Babuska et.al. Volume 75 in IMA Volumes in Mathematics and Its Applications Series, Springer Verlag (1995).

  36. Speares W. and Berzins M. A Fast Unstructured Mesh Adaption Algorithm with Time Dependent Upwind Euler Shock Diffraction Calculations. Proc. of 6th International Symposium on Computational Fluid Dynamics, 1995, (Eds) M. Hafez and K. Oshima, VOL III, pp. 1181-1188 (1995).

  37. Tomlin A., Ware J.M., Smith J., Berzins M. and Pilling, M. Efficient High Resolution Methods for Air Pollution Models. in Air Pollution III Volume I, (Proc. of 1995 Conference, Porto Carras, Greece, September 1995) pp. 201-208, Computational Mechanics Publications, Southampton UK (1995).

  38. Nurgat E. and Berzins M. Multigrid Methods for EHD Problems. in Proc. of 1995 Copper Mountain Conference on Multigrid Methods. (Ed) N.D. Melson et. al. NASA Conference Publications, (Autumn 1995).

  39. Berzins M., Gaskell P.H.,Sleigh P.A. Spears W., Tomlin A. and Ware J.M An Adaptive CFD Solver for Time Dependent Environmental Flow Problems. in Proceedings of the Institute of Computational Fluid Dynamics Conference, K.W. Morton and M.J.Baines (Eds) Oxford University Press (1995).

  40. Hodgson D.C., Jimack P., Selwood P. and Berzins M. Scalable, Parallel Generation of Partitioned Unstructured Meshes. pp 665-672 of "Parallel C.F.D. -- Implementations and Results using Parallel Computers" (Eds) A.Ecer, J.Periaux, N.Satufoka and S.Taylor. Elsevier Science BV (1996) ISBN 0-444 823220 (refereed) Proc. of Parallel CFD 95 Conference, June 26-29, 1995, Pasadena, California.

  41. Walshaw C. and Berzins M. Dynamic Load-Balancing For PDE Solvers On Adaptive Unstructured Meshes. Concurrency Vol. 7(1) pp 17-28 (1995).

  42. Berzins M. Temporal Error Control in the Method of Lines for Convection Dominated Equations. SIAM Journal of Sci. Comp., 16(3) pp.558-580 (1995).

  43. Berzins M. and Ware J. Positive Cell Centered Finite Volume Discretisation Methods for Hyperbolic Equations on Irregular Meshes. Appl. Num. Math. 16 pp 417-438 (1995).

  44. Berzins M., Childs T.H.C. Dalgarno K.W. Ryder G.R. and Stein G. Densification and Distortion in Selective Laser Sintering of Polycarbonate. To appear in Proc. of 1995 Austin Conference on Solid Free Form Fabrication.

  45. Berzins M. and Ware J. Solving Convection and Convection Reaction Problems Using the M.O.L., Applied Numerical Mathematics 20 pp.83-99 (1996).

  46. Creasey D.J., Heard D.E., Pilling M.J., Whitaker B.J., Berzins M. and Fairlie R. Visualisation of a supersonic free-jet expansion using laser-induced fluorescence spectroscopy: Application to the measurement of rate constants at ultralow temperatures. Appl. Phys. B 65 pp 375-392 (1997).

  47. Berzins M., Childs T.H.C. and Ryder G.R. The Selective Laser Sintering of Polycarbonate. CIRP Annals 5 pp 187-190 (1997).

  48. Berzins M., Pennington S.V., Pratt P.R. and Ware J.M., SPRINT2D Software for Convection Dominated PDEs, in Arge E, Bruaset A.M. and Langtangen H.P (Editors) Modern Software Tools in Scientific Computing, Birkhauser (1997).

  49. Selwood P.M., Verhoeven N.A., Nash J.M., Berzins M., Weatherill N.P., Dew P.M. and Morgan K. Parallel Mesh Generation and Adaptativity: Partitioning and Analysis, pp 166-173 in "Parallel CFD -- Algorithms and Results using Advanced Computers". (Eds) Schiano P., Ecer A., Periaux J. and Satofuka N. Elsevier Science BV(1997), Proc. of Parallel CFD 96 Conference, Capri, Italy.

  50. Selwood P.M., Berzins M., and Dew P.M. 3D Parallel Mesh Adaptivity: Data-Structures and Algorithms. In proc. of Eighth SIAM Conf. on Parallel Proc. for Scientific Computing (1997), SIAM Philadelphia.

  51. Touheed N., Selwood P.M., Jimack P.K., Berzins M. and Dew P.M. Parallel Dynamic Load-Balancing for the Solution of Transient CFD Problems using Adaptive Tetrahedral Meshes, to appear in Proc. of Parallel CFD 97, Elsevier Science BV.

  52. Pratt P.R. and Berzins M., Shock preserving quadratic interpolation for visualisation on triangular meshes. Comput. and Graphics, 20(5), pp 723--730 (1996).

  53. Tomlin A., Berzins M., Ware J.M., Smith J., and Pilling, M. On the use of adaptive gridding methods for modelling chemical transport from multi-scale sources. Atmospheric Env., 31(18), pp 2945--2959 (1997).

  54. Speares W. and Berzins M. A 3D unstructured mesh adaptation algorithm for time-dependent shock-dominated problems. Int. J. Num. Meth. Fluids, 25, pp 81--104 (1997).

  55. Berzins M., Fairlie R., Pennington S.V., Ware J.M., and Scales L.E., SPRINT2D: Adaptive Software for PDEs . Submitted to ACM Trans. Math. Software (1997).

  56. Pennington S.V. and Jimack P.K., Numerical solution of the remediation of soil contamination by in-situ gas venting, School of Computer Studies Research Report 98.05, University of Leeds (1998).

  57. Fairlie R. and Berzins M., Unstructured mesh calculations of compressible steady jets, Submitted to J. Comp. Physics (1998).

  58. Berzins M., Capon P.J. and Jimack P.K. On Spatial Adaptivity and Interpolation When Using the Method of Lines, Applied Numerical Mathematics, 26, pp.117-133 (1998).

Last Modified: 25Mar98
rogerf@comp.leeds.ac.uk