VLUGR2 swMATH ID: 1003 Software Authors: Blom, J.G.; Trompert, R.A.; Verwer, J.G. Description: This article deals with an adaptive-grid finite difference solver for time-dependent two-dimensional systems of partial differential equations. It describes the ANSI Fortran 77 code, VLUGR2, autovectorizable on the Cray Y-MP, that is based on this method. The robustness and the efficiency of the solver, both for vector and scalar processors, are illustrated by the application of the code to two example problems arising from a groundwater-flow model. Homepage: http://dl.acm.org/citation.cfm?id=232850 Keywords: method of lines; nonsymmetric sparse linear systems; adaptive-grid finitedifference solver; ANSI Fortran 77 code; groundwater-flow Related Software: DASSL; CWRESX; CWRESU; Algorithm 731; LAPACK; Mathematica; VLUGR3; COLSYS; CLAPACK; SAMRAI; PETSc; hypre; CADSOL; Maple; Diffpack Cited in: 16 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Algorithm 758: VLUGR2: A vectorizable adaptive-grid solver for PDEs in 2D. Zbl 0884.65094Blom, J. G.; Trompert, R. A.; Verwer, J. G. 1996 all top 5 Cited by 31 Authors 4 Ward, Michael J. 2 Craster, Richard V. 2 Kolokolnikov, Theodore 2 Wei, Juncheng 1 Balmforth, Neil J. 1 Belmiloudi, Aziz 1 Blom, Joke G. 1 Chen, Wan 1 de Sturler, Eric 1 Ebert, Ute 1 Fazio, Riccardo 1 Hundsdorfer, Willem H. 1 Jannelli, Alessandra 1 Kaper, Tasso J. 1 Magar, Vanesa 1 Matar, Omar K. 1 Montijn, Carolynne 1 Morgan, David S. 1 Moyles, Iain R. 1 Öhman, Johan 1 Pedley, Timothy J. 1 Pernice, Michael 1 Philip, Bobby 1 Rasheed, Amer 1 Sassi, Roberto 1 Trefry, M. G. 1 Trompert, R. A. 1 Tse, Wang Hung 1 Verwer, Jan G. 1 Warner, Mark R. E. 1 Zegeling, Paul Andries all top 5 Cited in 14 Serials 2 Journal of Fluid Mechanics 2 Studies in Applied Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 ACM Transactions on Mathematical Software 1 Journal of Computational and Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Physica D 1 Applied Mathematical Modelling 1 Journal of Nonlinear Science 1 SIAM Journal on Scientific Computing 1 Physics of Fluids 1 SIAM Journal on Applied Dynamical Systems 1 IAENG. International Journal of Applied Mathematics all top 5 Cited in 6 Fields 9 Partial differential equations (35-XX) 6 Numerical analysis (65-XX) 6 Fluid mechanics (76-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Biology and other natural sciences (92-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year