Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
CVODE, a stiff/nonstiff ODE solver in C
Computers in Physics
SIAM Journal on Scientific Computing
Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations
Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations
SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers
ACM Transactions on Mathematical Software (TOMS) - Special issue on the Advanced CompuTational Software (ACTS) Collection
Error Estimation and Control for ODEs
Journal of Scientific Computing
Using OpenMP: Portable Shared Memory Parallel Programming (Scientific and Engineering Computation)
Using OpenMP: Portable Shared Memory Parallel Programming (Scientific and Engineering Computation)
Source-to-source optimization of CUDA C for GPU accelerated cardiac cell modeling
EuroPar'10 Proceedings of the 16th international Euro-Par conference on Parallel processing: Part I
Cardiac simulation on multi-GPU platform
The Journal of Supercomputing
CUDA Application Design and Development
CUDA Application Design and Development
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In this paper we studied the implementation and performance of adaptive step methods for large systems of ordinary differential equations systems in graphics processing units, focusing on the simulation of three-dimensional electric cardiac activity. The Rush-Larsen method was applied in all the implemented solvers to improve efficiency. We compared the adaptive methods with the fixed step methods, and we found that the fixed step methods can be faster while the adaptive step methods are better in terms of accuracy and robustness.