On vectorizing incomplete factorization and SSOR preconditioners
SIAM Journal on Scientific and Statistical Computing - Telecommunication Programs at U.S. Universities
Polynomial acceleration of iterative schemes associated with subproper splittings
Journal of Computational and Applied Mathematics - Special issue on iterative methods for the solution of linear systems
Optimum m-step SSOR preconditioning
Journal of Computational and Applied Mathematics - Special issue on iterative methods for the solution of linear systems
Solving positive (semi) definite linear systems by preconditioned iterative methods
Proceedings of a conference on Preconditioned conjugate gradient methods
Efficient simulation of action potential propagation in a bidomain
Efficient simulation of action potential propagation in a bidomain
Iterative solution methods
Implicit-explicit methods for time-dependent partial differential equations
SIAM Journal on Numerical Analysis
Matrix computations (3rd ed.)
Finite element solution of boundary value problems: theory and computation
Finite element solution of boundary value problems: theory and computation
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
ICCS '02 Proceedings of the International Conference on Computational Science-Part I
The Mortar Finite Element Method for the Cardiac “Bidomain” Model of Extracellular Potential
Journal of Scientific Computing
A model-based block-triangular preconditioner for the Bidomain system in electrocardiology
Journal of Computational Physics
Algebraic multigrid preconditioners for the bidomain reaction--diffusion system
Applied Numerical Mathematics
A reaction-diffusion model of the human brain development
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
Fast Structured AMG Preconditioning for the Bidomain Model in Electrocardiology
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
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In this paper, we deal with the problem of solving the large algebraic linear system arising in the numerical solution of a reaction-diffusion (R-D) system associated with myocardial excitation process modeling. We show that an ad hoc preconditioning technique can be devised so as to efficiently and simultaneously handle the differential equations of the R-D system, with no additional memory requirements.Two different formulations are commonly considered for the theoretical and numerical analyses, respectively. We observe that the formulation employed for the theoretical analysis of the problem actually yields the best numerical performance, when compared with the usual numerical scheme.