Scientific Computation Research Group

 

Publications of Prof. Martin Berzins

Goodyer, C; Wood, J; Berzins, M Mathematical modelling of chemical diffusion through skin using Grid-based PSEs in: Bock HG, Kostina E, Phu HX, Rannacher R (editors) Modeling, Simulation and Optimization of Complex Processes: Proceedings of the Third International Conference on High Performance Scientific Computing, pp.249-258. Springer. 2008.DOI
Goodyer, CE; Berzins, M Parallelization and scalability issues of a multilevel elastohydrodynamic lubrication solver. Concurrency and Computation: Practice and Experience, vol. 19, pp.369-396. 2007.DOI
Goodyer, CE; Berzins, M Parallelization and scalability issues of a multilevel elastohydrodynamic lubrication solver. Concurrency and Computation: Practice and Experience, vol. 19, pp.369-396. 2007.DOI
Goodyer, CE; Berzins, M Adaptive timestepping for elastohydrodynamic lubrication solvers. SIAM Journal on Scientific Computing, vol. 28, pp.626-650. 2006.DOI
Lu, H; Berzins, M; Jimack, PK Application of the adaptive discontinuous Galerkin method to problems in elastohydrodynamic lubrication in: Topping, H BV, Montero, G, Montenegro, R (editors) Innovation in Engineering Computational Technology, pp.169-191. Saxe-Coburg Publications. 2006.
Lu, H; Berzins, M; Goodyer, CE; Jimack, PK; Walkley, MA Adaptive high-order finite element solution of transient elastohydrodynamic lubrication problems . Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, vol. 220, pp.215-225. 2006.DOI
Goodyer, CE; Berzins, M; Jimack, PK; Scales, L A grid-enabled problem solving environment for parallel computational engineering design. Advances in Engineering Software, vol. 37, pp.439-449. 2006.DOI
Goodyer, CE; Berzins, M; Jimack, PK; Scales, L A grid-enabled problem solving environment for parallel computational engineering design. Advances in Engineering Software, vol. 37, pp.439-449. 2006.DOI
Goodyer, CE; Berzins, M Solving computationally intensive engineering problems on the Grid using problem solving environments in: Cunha JC, Rana OF (ed.) Grid Computing: Software Environments and Tools, pp.284-301. Springer-Verlag. 2006.
Lu, H; Berzins, M; Jimack, P K Application of the adaptive discontinuous Galerkin method to problems in elastohydrodynamic lubrication in: Topping, B V H, Montero, G & Montenegro, R (editors) Innovation in Engineering Computational Technology, pp.169-191. Saxe-Coburg Publications. 2006.
Hart, D E; Goodyer, C E; Berzins, M; Jimack, P K; Scales, L E Adjoint error estimation and spatial adaptivity for EHL-like models in: Snidle, R W & Evans, H P (editors) IUTAM Symposium on Elastohydrodynamics and Micro-Elastohydrodynamics, pp.47-58. Springer. 2006.
Goodyer, C E; Berzins, M Adaptive timestepping for elastohydrodynamic lubrication solvers. SIAM Journal on Scientific Computing, vol. 28, pp.626-650. 2006.
Lu, H; Berzins, M; Goodyer, C E; Jimack, P K; Walkley, M A Adaptive high-order finite element solution of transient elastohydrodynamic lubrication problems. Proceedings of the Institution of Mechanical Engineers Part J: Journal of Engineering Tribology, vol. 220, pp.215-225. 2006.
Goodyer, C E; Berzins, M Solving computationally intensive engineering problems on the Grid using problem solving environments in: Cunha, J C & Rana, O F (ed.) Grid Computing: Software Environments and Tools. Springer. 2006.
Hart, DE; Goodyer, CE; Berzins, M; Jimack, PK; Scales, L Adjoint error estimation and spatial adaptivity for EHL-like models in: Snidle RW, Evans HP (editors) IUTAM Symposium on Elastohydrodynamics and Micro-Elastohydrodynamics, pp.47-58. Springer-Verlag. 2006.DOI
Hart, DE; Goodyer, CE; Berzins, M; Jimack, PK; Scales, L Adjoint error estimation for EHL-like models. International Journal for Numerical Methods in Fluids, vol. 47, pp.1069-1075. 2005.DOI
Hart, DE; Goodyer, CE; Berzins, M; Jimack, PK; Scales, L Adjoint error estimation for EHL-like models. International Journal for Numerical Methods in Fluids, vol. 47, pp.1069-1075. 2005.DOI
Lu, H; Berzins, M; Goodyer, CE; Jimack, PK High order discontinuous Galerkin method for elastohydrodynamic lubrication line contact problems. Communications in Numerical Methods in Engineering, vol. 21, pp.643-650. 2005.DOI
Berzins, M Preserving positivity for hyperbolic PDEs using variable-order finite elements with bounded polynomials. Applied Numerical Mathematics, vol. 52, pp.197-217. 2005.DOI
Berzins, M; Kirby, RM; Johnson, C Integrating teaching and research in HPC: experiences and opportunities in: Sunderam, S V, Albada V, D G, Sloot, A PM, Dongarr, J J (editors) Computational Science - ICCS 2005, 5th International Conference Proceedings, vol. II, pp.36-43. Springer-Verlag. 2005.
Berzins, M; Kirby, R M; Johnson, C Integrating teaching and research in HPC: experiences and opportunities in: Sunderam, V S, van Albada, G D, Sloot, P M A & Dongarr, J J (editors) Computational Science - ICCS 2005, 5th International Conference Proceedings Part II, pp.36-43. Springer. 2005.
Ionescu, I; Guilkey, J; Berzins, M; Kirby, R M; Weiss, J A Computational simulation of penetrating trauma in biological soft tissues using the material point method in: Westwood, J D, Haluck, R S, Hoffman, H M, Mogel, G T, Phillips, R, Robb, R A & Vosburgh, K G (editors) Medicine Meets Virtual Reality 13, pp.213-218. IOS Press. 2005.
Lu, H; Berzins, M; Goodyer, C E; Jimack, P K High order discontinuous Galerkin method for elastohydrodynamic lubrication line contact problems. Communications in Numerical Methods in Engineering, vol. 21, pp.643-650. 2005.
Berzins, M Preserving positivity for hyperbolic PDEs using variable-order finite elements with bounded polynomials. Applied Numerical Mathematics, vol. 52, pp.197-217. 2005.
Ionescu, I; Guilkey, J; Berzins, M; Kirby, RM; Weiss, JA Computational simulation of penetrating trauma in biological soft tissues using the material point method in: Westwood, D J, Haluck, S R, Hoffman, M H, Mogel, T G, Phillips, R, Robb, A R, Vosburgh, G K (editors) Medicine Meets Virtual Reality 13, pp.213-218. IOS Press. 2005.
Goodyer, CE; Fairlie, R; Hart, DE; Berzins, M; Scales, L Calculation of friction in steady-state and transient EHL simulations of transient processes in tribology in: Lubrecht A, Dalmaz G (editors) Transient Processes in Tribology: Proceedings of the 30th Leeds-Lyon Symposium on Tribology. Elsevier Science. 2004.
Berzins, M Variable order finite elements and positivity preservation for hyperbolic PDE's. Applied Numerical Mathematics, vol. 48, pp.271-292. 2004.DOI
Goodyer, C E; Fairlie, R; Hart, D E; Berzins, M; Scales, L E Calculation of friction in steady-state and transient EHL simulations of transient processes in tribology in: Lubrecht, A & Dalmaz, G (editors) Transient Processes in Tribology: Proceedings of the 30th Leeds-Lyon Symposium on Tribology. Elsevier Science. 2004.
Berzins, M Variable order finite elements and positivity preservation for hyperbolic PDE's. Applied Numerical Mathematics, vol. 48, pp.271-292. 2004.
Berzins, M; Wilson, AG Spatial interaction models and Fisher information: a new calibration algorithm. Environment and Planning A, vol. 35, pp.2161-2176. 2003.DOI
Fairlie, R; Goodyer, CE; Berzins, M; Scales, L Numerical modelling of thermal effects in elastohydrodynamic lubrication solvers in: Dowson, D, Lubrecht, A A, Dalmaz, G, Priest M (editors) Tribological Research and Design for Engineering Systems, Proceedings of the 29th Leeds-Lyon Symposium on Tribology, pp.675-683. Elsevier Science. 2003.
Leung, CH; Berzins, M A computational model for organism growth based on surface mesh generation. Journal of Computational Physics, vol. 188, pp.75-99. 2003.DOI
Goodyer, CE; Berzins, M; Jimack, PK; Scales, L Grid-based numerical optimisation in a problem solving environment in: Cox SJ (editors) Proceedings of the 2nd UK All Hands e-Science Meeting 2003, pp.854-861. EPSRC. 2003.
Berzins, M; Wilson, A G Spatial interaction models and Fisher information: a new calibration algorithm. Environment and Planning A, vol. 35, pp.2161-2176. 2003.
Hubbard, M E; Berzins, M A positivity preserving finite element method for hyperbolic partial differential equations in: Armfield S, Morgan P & Srinivas K (editors) Computational Fluid Dynamics 2002, pp.205-210. Springer. 2003.
Leung, C H; Berzins, M A computational model for organism growth based on surface mesh generation. Journal of Computational Physics, vol. 188, pp.75-99. 2003.
Goodyer, C E; Berzins, M; Jimack, P K; Scales, L E Grid-based numerical optimisation in a problem solving environment in: Cox, S J (editors) Proceedings of the UK e-Science All Hands Meeting 2003, pp.854-861. EPSRC. 2003.
Fairlie, R; Goodyer, C E; Berzins, M; Scales, L E Numerical modelling of thermal effects in elastohydrodynamic lubrication solvers in: Dowson, D, Lubrecht, A A, Dalmaz, G & Priest M (editors) Tribological Research and Design for Engineering Systems, Proceedings of the 29th Leeds-Lyon Symposium on Tribology, pp.675-683. Elsevier Science. 2003.
Hubbard, ME; Berzins, M A positivity preserving finite element method for hyperbolic partial differential equations in: Armfield S, Morgan P, Srinivas K (editors) 2nd International Conference on Computational Fluid Dynamics, July 15 -19, 2002, pp.205-210. Springer-Verlag. 2003.
Goodyer, CE; Wood, J; Berzins, M A parallel grid based PSE for EHL problems in: Fagerholm J, Haataja J, Järvinen J, Lyly M, Raback P, Savolainen V (editors) Applied Parallel Computing Advanced Scientific Computing 6th Internat ional Conference, PARA 2002, pp.521-530. Springer-Verlag. 2002.
Walkley, MA; Jimack, PK; Berzins, M Anisotropic adaptivity for the finite element solutions of three dimensional convection-dominated problems. International Journal for Numerical Methods in Fluids, vol. 40, pp.551-560. 2002.DOI
Jimack, PK; Mahmood, R; Walkley, MA; Berzins, M A multilevel approach for obtaining locally optimal finite element meshes. Advances in Engineering Software, vol. 33, pp.403-415. 2002.DOI
Ghorai, S; Tomlin, AS; Berzins, M Resolution of pollutant concentrations using a fully 3D adaptive model in: Chock DP, Carmichael GR (editors) Atmospheric Modeling, pp.61-80. Springer-Verlag. 2002.
Walkley, MA; Berzins, M A finite element method for the two-dimensional extended Boussinesq equations. International Journal for Numerical Methods in Fluids, vol. 39, pp.865-885. 2002.DOI
Goodyer, CE; Berzins, M Eclipse and Ellipse: PSEs for EHL solutions using IRIS Explorer and SCIRun in: Sloot PMATCJK, Dongarra JJ, Hoekstra AG (editors) Computational Science - ICCS 2002, pp.523-532. Springer-Verlag. 2002.
Lagzi, I; Tomlin, AS; Turanyi, T; Haszpra, L; Meszaros, R; Berzins, M Modelling photochemical air pollution in Hungary using an adaptive grid model in: Sportisse B (editors) , pp.264-277. Springer. 2002.
Lagzi, I; Tomlin, AS; Turanyi, T; Haszpra, L; Meszaros, R; Berzins, M Modelling tropospheric ozone formation in Hungary using an adaptive gridding method in: Eurotrac 2002 Symposium. 2002.
Lagzi, I; Tomlin, AS; Turanyi, T; Haszpra, L; Meszaros, R; Berzins, M Modelling tropospheric ozone formation in Hungary using an adaptive gridding method in: Eurotrac 2002 Symposium. 2002.
Ghorai, S; Tomlin, A S; Berzins, M Resolution of pollutant concentrations using a fully 3D adaptive model in: Chock, D P & Carmichael, G R (editors) Atmospheric Modeling, pp.61-80. Springer. 2002.
Goodyer, C E; Berzins, M Eclipse and Ellipse: PSEs for EHL solutions using IRIS Explorer and SCIRun in: Sloot, P M A, Tan, C J K, Dongarra, J J & Hoekstra, A G (editors) Computational Science - ICCS 2002, Proceedings, Part I, pp.523-532. Springer. 2002.
Goodyer, C E; Wood, J D; Berzins, M A parallel grid based PSE for EHL problems in: Fagerholm, J, Haataja, J, Jorvinen, J, Lyly, M, Raback, P & Savolainen, V (editors) Applied Parallel Computing Advanced Scientific Computing 6th International Conference, PARA 2002, pp.521-530. Springer. 2002.
Berzins, M Modified mass matrices and positivity preservation for hyperbolic and parabolic PDE's. Communications in Numerical Methods in Engineering, vol. 17, pp.659-666. 2001.DOI
Berzins, M; Tomlin, AS; Ghorai, S; Ahmad, I; Ware, JM Unstructured mesh adaptive MOL solvers for atmospheric reacting flow problems in: Wouwer AV, Saucez P, Schiesser WE (ed.) The Adaptive Method of Lines, pp.317-351. CRC Press. 2001.
Walkley, MA; Jimack, PK; Berzins, M Anisotropic adaptivity for the finite element solutions of three dimensional convection-dominated problems in: Baines MJ (editors) Numerical Methods for Fluid Dynamics VII, pp.525-531. ICFD. 2001.
Lagzi, I; Tomlin, AS; Turanyi, T; Haszpra, L; Meszaros, R; Berzins, M The simulation of photochemical smog episodes in Hungary and Central Europe using adaptive gridding models in: Vassil NA, Dongarra JJ, Juliano BA, Renner RS, Tan CJK (editors) Computational Science - ICCS 2001 Proceedings, Part II, pp.67-77. Springer-Verlag. 2001.DOI
Walkley, MA; Jimack, PK; Berzins, M Mesh quality for three-dimensional finite element solutions on anisotropic meshes in: Neittaanmaki P, Krizek M (editors) Finite Element Methods: Three-Dimensional Problems, Jyvaskyla, Finaland, pp.310-321. Gakkotosho Co. 2001.
Walkley, MA; Jimack, PK; Berzins, M Mesh quality and anisotropic adaptivity for finite element solutions of 3-D convection dominated problems in: Proceedings of ECCOMAS Computational Fluid Dynamics Conference 2001. 2001.
Goodyer, CE; Fairlie, R; Berzins, M; Scales, L Adaptive mesh methods for elastohydrodynamic lubrication in: Proceedings of ECCOMAS Computational Fluid Dynamics Conference 2001. 2001.
Ahmad, I; Berzins, M MOL solvers for hyperbolic PDEs with source terms. Mathematics and Computers in Simulation, vol. 56, pp.115-126. 2001.DOI
Berzins, M; Durbeck, LJK Unstructured mesh solvers for hyperbolic PDEs with source terms: error estimates and mesh quality in: Toro EF (editors) Godunov Methods: Theory and Applications, pp.117-123. Kluwer Academic Publishers. 2001.
Lagzi, I; Tomlin, A S; Turanyi, T; Meszaros, R; Berzins, M The simulation of photochemical smog episodes in Hungary and Central Europe using adaptive gridding models. Computational Science - ICCS 2001, Proceedings Part II, pp.67-77. 2001.
Lagzi, I; Tomlin, A S; Turanyi, T; Haszpra, L; Berzins, M; Meszaros, R Modelling photochemical air pollution in Hungary using an adaptive grid model in: Sportisse, B (editors) Air Pollution Modelling and Simulation, pp.264-275. Springer. 2001.
Goodyer, C E; Fairlie, R; Berzins, M; Scales, L E Adaptive mesh methods for elastohydrodynamic lubrication in: Proceedings of ECCOMAS Computational Fluid Dynamics Conference 2001. 2001.
Walkley, M A; Jimack, P K; Berzins, M Mesh quality and anisotropic adaptivity for finite element solutions of 3-D convection dominated problems in: Proceedings of ECCOMAS Computational Fluid Dynamics Conference 2001. 2001.
Berzins, M Modified mass matrices and positivity preservation for hyperbolic and parabolic PDE's. Communications in Numerical Methods in Engineering, vol. 17, pp.659-666. 2001.
Ahmad, I; Berzins, M MOL solvers for hyperbolic PDEs with source terms. Mathematics and Computers in Simulation, vol. 1927, pp.1-11. 2001.
Berzins, M; Durbeck, LJK Unstructured mesh solvers for hyperbolic PDEs with source terms: error estimates and mesh quality in: Toro, E F (editors) Godunov Methods: Theory and Applications, pp.117-123. Kluwer Academic Publishers. 2001.
Walkley, M A; Jimack, P K; Berzins, M Mesh quality for three-dimensional finite element solutions on anisotropic meshes in: Neittaanmaki, P & Krizek, M (editors) Finite Element Methods: Three-Dimensional Problems, pp.310-321. Gakkotosho Co. 2001.
Goodyer, C E; Fairlie, R; Berzins, M; Scales, L E Adaptive techniques for elastohydrodynamic lubrication solvers in: Dalmaz, G, Lubrecht, A A, Dowson, D & Priest M (editors) Tribology Research: From Model Experiment to Industrial Problem, Proceedings of the 27th Leeds-Lyon Symposium on Tribology, pp.709-719. Elsevier Science. 2001.
Walkley, M A; Jimack, P K; Berzins, M Anisotropic adaptivity for the finite element solutions of three dimensional convection-dominated problems in: Baines, MJ (editors) Numerical Methods for Fluid Dynamics VII, pp.525-531. ICFD. 2001.
Berzins, M; Tomlin, A S; Ghorai, S; Ahmad, I; Ware, J Unstructured mesh adaptive MOL solvers for atmospheric reacting flow problems in: Alain Vande Wouwer, Ph. Saucez & W. E Schiesser (ed.) The Adaptive Method of Lines, pp.317-351. CRC Press. 2001.
Goodyer, CE; Fairlie, R; Berzins, M; Scales, L Adaptive techniques for elastohydrodynamic lubrication solvers in: Dalmaz G, Lubrecht AA, Dowson D, Priest M (editors) Tribology Research: From Model Experiment to Industrial Problem: Symposium, Proceedings of the 27th Leeds-Lyon Symposium on tribology, pp.709-719. Elsevier Science. 2001.
Tomlin, AS; Ghorai, S; Hart, G; Berzins, M 3-D Multi-scale air pollution modelling using adaptive unstructured meshes. Environmental Modelling & Software, vol. 15, pp.681-692. 2000.
Ghorai, S; Tomlin, AS; Berzins, M Resolution of pollutant concentrations in the boundary layer using a fully 3D adaptive gridding technique. Atmospheric Environment, vol. 34, pp.2851-2863. 2000.
Berzins, M A data-bounded quadratic interpolant on triangles and tetrahedra. SIAM Journal on Scientific Computing, vol. 22, pp.177-197. 2000.
Berzins, M A new metric for dynamic load balancing. Applied Mathematical Modelling, vol. 25, pp.141-151. 2000.
Touheed, N; Selwood, P; Jimack, P K; Berzins, M A comparison of some dynamic load balancing algorithms for a parallel adaptive flow solver. Parallel Computing, vol. 26, pp.1535-1554. 2000.
Ghorai, S; Tomlin, A S; Berzins, M Resolution of pollutant concentrations in the boundary layer using a fully 3D adaptive gridding technique. Atmospheric Environment, vol. 34, pp.2851-2863. 2000.
Berzins, M An introduction to mesh quality in: Weatherill, N P and Deconink, H (editors) Von Karman Institute for Fluid Mechanics Lectures notes for 31st Lecture Series on Computational Fluid Mechanics. Von Karman Institute for Fluid Mechanics. 2000.
Berzins, M; Durbeck, LJK; Jimack, P K; Walkley, M A Mesh quality and moving and meshes for 2D and 3D unstructured mesh solvers in: Weatherill, N P and Deconink, H (editors) Von Karman Institute for Fluid Mechanics Lectures notes for 31st Lecture Series on Computational Fluid Mechanics. Von Karman Institute for Fluid Mechanics. 2000.
Apel, T; Berzins, M; Jimack, P K; Kunert, G; Plaks, A; Tsukerman, I; Walkley, M A Mesh shape and anisotropic elements in: Whiteman, J R (editors) The Mathematics of Finite Elements and Applications X, pp.367-376. Ellis Horwood. 2000.
Berzins, M Solution-based mesh quality indicators for triangular and tetrahedral meshes. Journal of Computational Geometry and Applications, vol. 10, pp.333-346. 2000.
Berzins, M A data-bounded quadratic interpolant on triangles and tetrahedra. SIAM Journal on Scientific Computing, vol. 22, pp.177-197. 2000.
Tomlin, AS; Ghorai, S; Hart, G; Berzins, M 3-D Adaptive unstructured meshes for air pollution modelling . Environmental Management & Health, vol. 10, pp.367-374. 1999.
Goodyer, C E; Fairlie, R; Berzins, M; Scales, L E An in-depth investigation of the multigrid approach for steady and transient EHL problems in: Dowson, D (editors) Thinning Films and Tribological Interfaces - Proceedings of the 26th Leeds-Lyon Symposium, pp.95-102. Elsevier Science. 1999.
Tomlin, A S; Ghorai, S; Hart, G; Berzins, M 3D adaptive unstructured meshes for air pollution modelling. Environmental Management and Health, pp.267-274. 1999.
Berzins, M Mesh quality - geometry, error estimates or both. Engineering with Computers, vol. 15, pp.236-247. 1999.
Tomlin, A S; Ghorai, S; Hart, G; Berzins, M The use of 3-D adaptive unstructured meshes in air pollution modelling in: Zlatev, Z, Brandt, J, Builtjes, P J H, Carmichael, G, Dimov, I, Dongarra, J, van Dop, H, Georgiev, K, Hass, H, San Jose, R (editors) Large-Scale Computations in Air Pollution Modelling, pp.339-348. Kluwer Academic Publishers. 1999.
Childs, T; Berzins, M; Ryder, G; Towtoni, A A selective laser sintering of an amorphous polymer. IMechE Proceedings Part B, pp.333-349. 1999.
Selwood, P; Berzins, M Parallel unstructured tetrahedral mesh adaptation: algorithms, implementation and scalability. Concurrency: Practice and Experience, vol. 11, pp.863-884. 1999.
Nash, J M; Berzins, M; Selwood, P A structured approach to the support of a parallel adaptive 3D CFD code in: Amestoy, P et al (editors) EuroPar'99, pp.651-658. Springer. 1999.
Berzins, M A solution-based H1 norm triangular and tetrahedral mesh quality indicator in: Bern, M, Flaherty, J A & Luskin, M (editors) Grid Generation and Adaptive Algorithms, vol. 113, pp.77-89. Springer. 1999.
Berzins, M; Selwood, P; Nash, J M Parallel solution of reacting flow problems using unstructured tetrahedral meshes in: Proceedings of the Ninth SIAM Conference on Parallel Processing for Scientific Computing 1999. SIAM Press. 1999.
Walkley, M A; Berzins, M A finite element model for the one-dimensional extended Boussinesq equations. International Journal for Numerical Methods in Fluids, vol. 29, pp.143-157. 1999.
Nurgat, E; Berzins, M; Scales, L E Solving EHL problems using iterative, multigrid, and homotopy methods. ASME Journal of Tribology, vol. 121, pp.28-34. 1999.
Tomlin, AS; Ghorai, S; Hart, G; Berzins, M The use of 3-D adaptive unstructured meshes in air pollution modelling in: al ZZE (ed.) Large-scale Computations in Air Pollution Modelling, pp.339-348. Kluwer Academic Publishers. 1999.
Berzins, M A solution-based triangular and tetrahedral mesh quality indicator. SIAM Journal on Scientific Computing, vol. 19, pp.2051-2060. 1998.
Berzins, M; Capon, P; Jimack, P K On spatial adaptivity and interpolation when using the method of lines. Applied Numerical Mathematics, vol. 26, pp.117-133. 1998.
Berzins, M; Gaskell, PH; Sleigh, PA; Speares, W; Tomlin, AS; Ware, JM An adaptive CFD solver for time-dependent environmental flow problems in: Morton KW, Baines MJ (ed.) Numerical methods for fluid dynamics V, pp.311-318. Oxford University Press. 1998.
Hart, G; Tomlin, AS; Smith, J; Berzins, M Multi-scale atmospheric dispersion modelling by use of adaptive gridding techniques. Environmental Monitoring and Assessment, vol. 52, pp.225-238. 1998.
Johnson, C; Berzins, M; Zhukov, L; Coffey, R SCIRun: application to atmospheric dispersion problems using unstructured meshes in: Baines, M J (editors) Numerical Methods for Fluid Dynamics VI, pp.111-122. ICFD. 1998.
Pan, J; Sheppard, C; Tindall, A; Berzins, M; Pennington, S V; Ware, J End gas inhomogeneity, autoignition and knock in: Proceedings of the SAE 1998 Autumn Meeting, vol. SAE 982616, . 1998.
Berzins, M Mesh quality - geometry, error estimates or both? in: Proceedings of 7th International Meshing Roundtable, vol. 98-2250, pp.229-237. Sandia National Labs. 1998.
Selwood, P; Berzins, M; Nash, J M; Dew, P M Portable parallel adaption of unstructured 3D meshes in: Ferreira, A, Rolim, J, Simon, H & Teng, S-H (editors) Solving Irregularly Structured Problems in Parallel 5th International Symposium IRREGULAR'98, pp.56-67. Springer. 1998.
Touheed, N; Selwood, P; Jimack, P K; Berzins, M A comparison of some dynamic load balancing algorithms for a parallel adaptive flow solver in: Topping, B H V (editors) Advances in Computational Mechanics with High Performance Computing, pp.153-162. Civil-Comp Press. 1998.
Berzins, M A solution-based triangular and tetrahedral mesh quality indicator. SIAM Journal on Scientific Computing, vol. 19, pp.2051-2060. 1998.
Berzins, M; Fairlie, R; Pennington, S V; Ware, J; Scales, L E SPRINT2D: adaptive software for PDEs. ACM Transactions on Mathematical Software, vol. 24, pp.475-499. 1998.
Sleigh, P; Berzins, M; Gaskell, P; Wright, N An unstructured finite-volume algorithm for predicting flow in rivers and estuaries. Computers & Fluids, vol. 27, pp.479-508. 1998.
Touheed, N; Selwood, P; Jimack, P K; Berzins, M Parallel dynamic load-balancing for the solution of transient CFD problems using adaptive tetrahedral meshes in: Emerson D R, Ecer, A, Periaux, J, Satofuka, N & Fox, P (editors) Parallel Computational Fluid Dynamics - Recent Developments and Advances Using Parallel Computers, pp.81-88. Elsevier Science. 1998.
Sleigh, PA; Gaskell, PH; Berzins, M; Wright, NG An unstructured finite-volume algorithm for predicting flow in rivers and estuaries. Computers & Fluids, vol. 27, pp.479-508. 1998.
Tomlin, AS; Berzins, M; Ware, J; Smith, J; Pilling, MJ On the use of adaptive gridding methods for modelling chemical transport from multi-scale sources. Atmospheric Environment, vol. 31, pp.2945-2959. 1997.
Ahmad, I; Berzins, M An algorithm for ODEs from atmospheric dispersion problems. Applied Numerical Mathematics, vol. 25, pp.137-149. 1997.
Berzins, M; Pennington, S V; Pratt, P; Ware, J SPRINT2D software for convection dominated PDEs in: Arge, E, Bruaset, A M & Langtangen, H P (ed.) Modern Software Tools for Scientific Computing, pp.63-80. Birkhauser. 1997.
Speares, W J; Berzins, M A 3D unstructured mesh adaption algorithm for time dependent shock dominated problems. International Journal for Numerical Methods in Fluids, vol. 25, pp.81-104. 1997.
Berzins, M; Childs, T; Ryder, G The selective laser sintering of polycarbonate. CIRP Annals, vol. 45, pp.187-190. 1997.
Selwood, P; Verhoeven, N; Nash, J M; Berzins, M; Dew, P M; Morgan, K Parallel mesh generation and adaptivity: partitioning and analysis in: Schiano, P, Ecer, A, Periaux, J & Satofuka, N (editors) Parallel Computational Fluid Dynamics: Algorithms and Results using Advanced Computers, pp.166-173. Elsevier Science. 1997.
Childs, THC; Ryder, GR; Berzins, M Experimental and theoretical studies of selective laser sintering in: Proc. 8th Int. Conf. on Production Engineering, Sapporo, Japan, pp.132-141. Chapman and Hall. 1997.
Creasey, D J; Heard, D E; Pilling, M; Whitaker, B J; Berzins, M; Fairlie, R Visualisation of a supersonic free-jet expansion using laser-induced fluorescence spectroscopy: Application to the measurement of rate constants at ultralow temperatures. Applied Physics B: Lasers and Optics, vol. 65, pp.375-391. 1997.
Selwood, P; Berzins, M; Dew, P M 3D parallel mesh adaptivity: data structures and algorithms in: Heath, M,Torczon, V, Astfalk, G, Bjorstad, P E, Karp, A H, Koelbel, C H, Kumar, V, Lucas, R F, Watson, L T & Womble, D (editors) Proceedings of the Eighth SIAM Conference on Parallel Processing for Scientific Computing. SIAM Press. 1997.
Berzins, M Solution-based mesh quality for triangular and tetrahedral meshes in: Proceedings of 6th International Meshing Roundtable, pp.427-436. Sandia National Labs. 1997.
Sleigh, P; Berzins, M; Gaskell, P A reliable and accurate technique for the modelling of complex hydraulic flows in: Benkhaldoun, F & Vilsmeier, R (editors) Finite Volumes for Complex Applications: Problems and Perspectives, pp.635-642. Hermes Science. 1996.
Nurgat, E; Berzins, M A new relaxation scheme for solving EHL problems in: Taylor, C M (editors) Proceedings of the 23rd Leeds-Lyon Symposium on Tribology. 1996.
Nurgat, E; Berzins, M Multigrid methods for EHD problems in: Melson, M D, Manteuffel, T S, McCormick, S F & Douglas, C G (editors) Proceedings of the Seventh Copper Mountain Conference on Multigrid Methods, vol. 2, pp.623-636. NASA Conference Publication 3339. 1996.
Ryder, G; Berzins, M; Childs, T Modelling simple feature creation in selective laser sintering in: Barlow J W (editors) Proceedings of the 7th Symposium on Solid Free Form Lubrication. 1996.
Pratt, P; Berzins, M Shock preserving quadratic interpolation for visualisation on triangular meshes. Computers & Graphics, vol. 20, pp.723-730. 1996.
Berzins, M; Ware, J Solving convection and convection-reaction problems using MOL. Applied Numerical Mathematics, vol. 20, pp.83-99. 1996.
Ryder, GR; Berzins, M; Childs, THC Modelling simple feature creation in selective laser sintering in: Proc. 7th Solid Free Form Fabrication Symposium, Austin, Texas., pp.567-574. University of Austin. 1996.
Hodgson, D; Jimack, P K; Selwood, P; Berzins, M Scalable parallel generation of partitioned, unstructured meshes in: Ecer, A, Periaux, J, Satofuka, N & Taylor, S (editors) Parallel Computational Fluid Dynamics - Implementations and Results Using Parallel Computers, pp.665-672. Elsevier Science. 1996.
Berzins, M; Childs, THC; Ryder, GR The selective laser sintering of polycarbonate. C.I.R.P. Annals, vol. 45, pp.187-190. 1996.
Sleigh, PA; Gaskell, PH; Berzins, M A Reliable and Accurate Technique for Modelling Complex Open Channel Flows in: Benkhaldoun F, Vilsmeier R (ed.) Finite Volumes for Complex Applications: Problems and Perspectives, pp.634-642. France. [Great Britain]. Hermes. 1996.
Berzins, M; Childs, T; Dalgarno, K; Ryder, G; Stein, G Densification and distortion in selective laser sintering of polycarbonate in: Barlow, J W (editors) Proceedings of the 6th Symposium on Solid Free Form Lubrication, pp.196-203. 1995.
Tomlin, A S; Ware, J; Smith, J; Berzins, M; Pilling, M Efficient high resolution methods for air pollution models in: Air Pollution III, vol. 1, pp.201-208. Computational Mechanics Publications. 1995.
Berzins, M; Ware, J An automated finite element solver for time-dependent fluid-flow problems in: Whiteman, J R (editors) MAFELAP93 - Highlights, pp.299-306. John Wiley & Sons. 1995.
Sleigh, P; Gaskell, P; Berzins, M; Ware, J; Wright, N 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.
Ware, J; Berzins, M Adaptive finite volume methods for time-dependent PDEs in: Babuska, I (editors) Modeling, Mesh Generation and Adaptive Numerical Methods for PDEs, pp.417-430. Springer. 1995.
Berzins, M; Gaskell, P; Sleigh, A; Tomlin, A S; Ware, J An adaptive CFD solver for time-dependent environmental flow problems in: Morton, K W & Baines, M J (editors) Numerical Methods for Fluid Dynamics V, pp.311-317. Oxford University Press. 1995.
Speares, W J; Berzins, M A fast unstructured mesh adaptation algorithm with time dependent Euler shock diffraction calculations in: Hafez, M & Oshima, K (editors) Proceedings of the 6th International Symposium on Computational Fluid Dynamics, vol. III, pp.1181-1188. 1995.
Walshaw, C H; Berzins, M Adaptive time-dependent CFD on distributed unstructured meshes in: Ecer, A, Hauser, J, Leca, P & Periaux, J (editors) Parallel Computational Fluid Dynamics: New Trends and Advances, pp.191-198. Elsevier Science. 1995.
Walshaw, C H; Berzins, M Dynamic load balancing for PDE solvers on adaptive unstructured meshes. Concurrency: Practice and Experience, vol. 7, pp.17-28. 1995.
Berzins, M; Ware, J Positive cell centered finite volume discretization methods for hyperbolic equations on irregular meshes. Applied Numerical Mathematics, pp.417-438. 1995.
Berzins, M Temporal error control for convection dominated equations in two space dimensions. SIAM Journal on Scientific Computing, pp.558-580. 1995.
Tomlin, AS; Ware, J; Smith, J; Berzins, M; Pilling, MJ Efficient high resolution methods for air pollution models in: hold (ed.) Computational Mechanics. Computational Mechanics. 1995.
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.
Berzins, M; Ware, J 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.
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.
Berzins, M; Dew, P M; Hillen, S Exploiting parallelism for adaptive CFD software. 1992.
Berzins, M; Furzeland, R An adaptive theta method for the solution of stiff and non-stiff differential equations. Applied Numerical Mathematics, vol. 9, pp.1-19. 1992.
Ware, J; 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.
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.
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.
Berzins, M; Preston, A; 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.
Berzins, M; Lawson, J; Ware, J 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.
Preston, A; Berzins, M Algorithms for the location of discontinuities in dynamic simulation problems. Computers and Chemical Engineering, vol. 15, pp.701-713. 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.
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.
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 -. 1991.
Skeel, R; Berzins, M A method for the spatial discretisation of parabolic equations. SIAM Journal on Scientific and Statistical Computing, vol. 11, pp.1-32. 1990.
Berzins, M; Preston, A; 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.
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.