Análisis Numérico y Estocástico, Optimización Dinámica y Aplicaciones (ANEODA)
University of Innsbruck
Innsbruck, AustriaPublicacions en col·laboració amb investigadors/es de University of Innsbruck (10)
2024
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Generalisation of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type
Computer Physics Communications, Vol. 295
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SYMMETRIC-CONJUGATE SPLITTING METHODS FOR EVOLUTION EQUATIONS OF PARABOLIC TYPE
Journal of Computational Dynamics, Vol. 11, Núm. 1, pp. 108-134
2023
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Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrodinger Equation
Communications in Computational Physics, Vol. 33, Núm. 4, pp. 937-961
2021
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Convergence analysis of high-order commutator-free quasi-Magnus exponential integrators for nonautonomous linear Schrödinger equations
IMA Journal of Numerical Analysis, Vol. 41, Núm. 1, pp. 594-617
2016
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Higher-order exponential integrators for quasi-linear parabolic problems. Part II: Convergence
SIAM Journal on Numerical Analysis, Vol. 54, Núm. 5, pp. 2868-2888
2015
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Higher-order exponential integrators for quasi-linear parabolic problems. Part I: Stability
SIAM Journal on Numerical Analysis, Vol. 53, Núm. 2, pp. 701-719
2007
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A second-order magnus-type integrator for quasi-linear parabolic problems
Mathematics of Computation, Vol. 76, Núm. 257, pp. 205-231
2006
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A second-order Magnus-type integrator for nonautonomous parabolic problems
Journal of Computational and Applied Mathematics
2000
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Discretization of fully nonlinear parabolic problems
European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
1999
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Optimal Convergence Results for Runge-Kutta Discretizations of Linear Nonautonomous Parabolic Problems
BIT Numerical Mathematics, Vol. 39, Núm. 1, pp. 79-95