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D. E. Mitsotakis
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2020 – today
- 2024
- [i12]Dimitrios Antonopoulos, Dimitrios Mitsotakis:
Bona-Smith-type systems in bounded domains with slip-wall boundary conditions: Theoretical justification and a conservative numerical scheme. CoRR abs/2405.00422 (2024) - 2023
- [i11]Dimitrios Mitsotakis:
On iterative methods based on Sherman-Morrison-Woodbury regular splitting. CoRR abs/2305.10968 (2023) - [i10]Dimitrios Mitsotakis:
The complex-step Newton method and its convergence. CoRR abs/2312.08395 (2023) - 2022
- [i9]Ameya D. Jagtap, Dimitrios Mitsotakis, George Em Karniadakis:
Deep learning of inverse water waves problems using multi-fidelity data: Application to Serre-Green-Naghdi equations. CoRR abs/2202.02899 (2022) - [i8]Dionyssios Mantzavinos, Dimitrios Mitsotakis:
Extended water wave systems of Boussinesq equations on a finite interval: Theory and numerical analysis. CoRR abs/2210.03279 (2022) - 2021
- [j15]D. C. Antonopoulos, Vassilios A. Dougalis, D. E. Mitsotakis:
Corrigendum: Error Estimates for Galerkin Approximations of the Serre Equations. SIAM J. Numer. Anal. 59(6): 3098-3101 (2021) - [j14]Dimitrios Mitsotakis
, Hendrik Ranocha
A Conservative Fully Discrete Numerical Method for the Regularized Shallow Water Wave Equations. SIAM J. Sci. Comput. 43(2): B508-B537 (2021) - [i7]D. C. Antonopoulos, Vassilios A. Dougalis, D. E. Mitsotakis:
On the well-posedness of the Galerkin semidiscretization of the periodic initial-value problem of the Serre equations. CoRR abs/2107.04403 (2021) - 2020
- [j13]Theodoros Katsaounis
Boussinesq-Peregrine water wave models and their numerical approximation. J. Comput. Phys. 417: 109579 (2020) - [i6]Theodoros Katsaounis
Boussinesq-Peregrine water wave models and their numerical approximation. CoRR abs/2005.09679 (2020) - [i5]Hendrik Ranocha, Dimitrios Mitsotakis
A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations. CoRR abs/2006.14802 (2020) - [i4]Samer Israwi, Henrik Kalisch, Theodoros Katsaounis
A regularized shallow-water waves system with slip-wall boundary conditions in a basin: Theory and numerical analysis. CoRR abs/2008.10754 (2020) - [i3]Dimitrios Mitsotakis, Hendrik Ranocha, David I. Ketcheson
A conservative fully-discrete numerical method for the regularised shallow water wave equations. CoRR abs/2009.09641 (2020)
2010 – 2019
- 2019
- [j12]D. C. Antonopoulos, Vassilios A. Dougalis, D. E. Mitsotakis
Error estimates for Galerkin finite element methods for the Camassa-Holm equation. Numerische Mathematik 142(4): 833-862 (2019) - [i2]Didier Clamond, Denys Dutykh, Dimitrios Mitsotakis:
Hamiltonian regularisation of shallow water equations with uneven bottom. CoRR abs/1909.09458 (2019) - 2018
- [j11]Dimitrios Mitsotakis
Asymptotic nonlinear and dispersive pulsatile flow in elastic vessels with cylindrical symmetry. Comput. Math. Appl. 75(11): 4022-4047 (2018) - 2017
- [j10]Didier Clamond, Denys Dutykh
Conservative modified Serre-Green-Naghdi equations with improved dispersion characteristics. Commun. Nonlinear Sci. Numer. Simul. 45: 245-257 (2017) - [j9]D. C. Antonopoulos, Vassilios A. Dougalis, D. E. Mitsotakis
Error Estimates for Galerkin Approximations of the Serre Equations. SIAM J. Numer. Anal. 55(2): 841-868 (2017) - 2016
- [j8]Gayaz Khakimzyanov, Nina Yu. Shokina
A new run-up algorithm based on local high-order analytic expansions. J. Comput. Appl. Math. 298: 82-96 (2016) - [j7]Vassilios A. Dougalis, Angel Durán
Numerical approximation of solitary waves of the Benjamin equation. Math. Comput. Simul. 127: 56-79 (2016) - 2015
- [i1]Gayaz Khakimzyanov, Denys Dutykh, Dimitrios Mitsotakis, Nina Yu. Shokina:
Numerical solution of conservation laws on moving grids. CoRR abs/1511.02771 (2015) - 2014
- [j6]Dimitrios Mitsotakis
On the Galerkin/Finite-Element Method for the Serre Equations. J. Sci. Comput. 61(1): 166-195 (2014) - 2011
- [j5]Denys Dutykh
Finite volume schemes for dispersive wave propagation and runup. J. Comput. Phys. 230(8): 3035-3061 (2011) - 2010
- [j4]Vassilios A. Dougalis, D. E. Mitsotakis
Boussinesq Systems of Bona-Smith Type on Plane Domains: Theory and Numerical Analysis. J. Sci. Comput. 44(2): 109-135 (2010)
2000 – 2009
- 2009
- [j3]D. E. Mitsotakis
Boussinesq systems in two space dimensions over a variable bottom for the generation and propagation of tsunami waves. Math. Comput. Simul. 80(4): 860-873 (2009) - 2007
- [j2]Vassilios A. Dougalis, Angel Durán
A Numerical Study of the Stability of Solitary Waves of the Bona-Smith Family of Boussinesq Systems. J. Nonlinear Sci. 17(6): 569-607 (2007) - [j1]Jerry L. Bona
Numerical solution of KdV-KdV systems of Boussinesq equations: I. The numerical scheme and generalized solitary waves. Math. Comput. Simul. 74(2-3): 214-228 (2007)
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