A static-regridding method for two-dimensional parabolic partial differential equations
Applied Numerical Mathematics
SIAM Journal on Scientific and Statistical Computing
Analysis of the implicit Euler local uniform grid refinement method
SIAM Journal on Scientific Computing
Analysis of local uniform grid refinement
Selected papers of the sixth conference on Numerical Treatment of Differential Equations
Vectorizing matrix operations arising from PDE discretization on 9-point stencils
The Journal of Supercomputing
Applied Numerical Mathematics - Special issue: a festschrift to honor Professor Robert Vichnevetsky on his 65th birthday
Algorithm 759: VLUGR3: a vectorizable adaptive-grid solver for PDEs in 3D—Part II. code description
ACM Transactions on Mathematical Software (TOMS)
Algorithm 759: VLUGR3: a vectorizable adaptive-grid solver for PDEs in 3D—Part II. code description
ACM Transactions on Mathematical Software (TOMS)
Tensor-product adaptive grids based on coordinate transformations
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the international conference on boundary and interior layers - computational and asymptotic methods (BAIL 2002)
An adaptive grid refinement strategy for the simulation of negative streamers
Journal of Computational Physics
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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.