In: Journal of computational physics, 2021, vol. 428, p. 15 p
In this article, we consider fast direct solvers for nonlocal operators. The pivotal idea is to combine a wavelet representation of the system matrix, yielding a quasi- sparse matrix, with the nested dissection ordering scheme. The latter drastically reduces the fill-in during the factorization of the system matrix by means of a Cholesky decomposition or an LU decomposition, respectively. This...
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In: Mathematische Annalen, 2015, vol. 361, no. 1-2, p. 1-50
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In: Designs, Codes and Cryptography, 2015, vol. 75, no. 2, p. 335-357
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In: Chinese Annals of Mathematics, Series B, 2015, vol. 36, no. 5, p. 689-702
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In: Foundations of Computational Mathematics, 2015, vol. 15, no. 2, p. 313-362
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In: Journal of Scientific Computing, 2015, vol. 65, no. 3, p. 956-978
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Thèse de doctorat : Università della Svizzera italiana, 2019 ; 2019INFO005.
This work focuses on the development of computational methods for the simulation of the propagation of the electrical potential in the heart and of the resulting mechanical contraction. The interaction of these two physical phenomena is described by an electromechanical model which consists of the monodomain system, which describes the propagation of the action potential in the cardiac tissue,...
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In: Communications in Mathematical Physics, 2014, vol. 325, no. 1, p. 333-366
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In: BIT Numerical Mathematics, 2014, vol. 54, no. 3, p. 801-821
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In: Foundations of Computational Mathematics, 2014, vol. 14, no. 4, p. 601-633
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