An implicit scheme for solving the convection-diffusion-reaction equation in two dimensions
Journal of Computational Physics
A fully implicit finite-difference scheme for two-dimensional Burgers' equations
Applied Mathematics and Computation
A multigrid solver for boundary value problems using programmable graphics hardware
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
Linear algebra operators for GPU implementation of numerical algorithms
ACM SIGGRAPH 2003 Papers
Solving the euler equations on graphics processing units
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part IV
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Many-Core system plays a key role on High Performance Computing, HPC, nowadays. This platform shows the big potential on the performance per watt, performance per floor area, cost performance, and so on. This paper presents a finite difference scheme solving the general convection-diffusion-reaction equations adapted for application of Graphics Processing Units (GPU) and multithreading. A two-dimensional nonlinear Burgers' equation was chosen as the test case. The best results that we measured are speed-up ratio of 12 times at mesh size 1026×1026 by using GPU and 20 times at mesh size 514×514 by using full 8 CPU cores when compared with an equivalent single CPU code.