A Numerical Study of the Stability of Solitary Waves of the Bona-Smith Family of Boussinesq Systems. - Vassilios A. Dougalis; Angel Durán; Miguel Ángel López-Marcos; D. E. Mitsotakis (J. Nonlinear Sci., 2007)

Numerical solution of KdV-KdV systems of Boussinesq equations: I. The numerical scheme and generalized solitary waves. - Jerry L. Bona; Vassilios A. Dougalis; D. E. Mitsotakis (Math. Comput. Simul., 2007)

Boussinesq systems in two space dimensions over a variable bottom for the generation and propagation of tsunami waves. - D. E. Mitsotakis (Math. Comput. Simul., 2009)

Boussinesq Systems of Bona-Smith Type on Plane Domains: Theory and Numerical Analysis. - Vassilios A. Dougalis; D. E. Mitsotakis; Jean-Claude Saut (J. Sci. Comput., 2010)

Finite volume schemes for dispersive wave propagation and runup. - Denys Dutykh; Theodoros Katsaounis; Dimitrios Mitsotakis (J. Comput. Phys., 2011)

On the Galerkin/Finite-Element Method for the Serre Equations. - Dimitrios Mitsotakis; Boaz Ilan; Denys Dutykh (J. Sci. Comput., 2014)

Numerical solution of conservation laws on moving grids. - Gayaz Khakimzyanov; Denys Dutykh; Dimitrios Mitsotakis; Nina Yu. Shokina (CoRR, 2015)

A new run-up algorithm based on local high-order analytic expansions. - Gayaz Khakimzyanov; Nina Yu. Shokina; Denys Dutykh; Dimitrios Mitsotakis (J. Comput. Appl. Math., 2016)

Numerical approximation of solitary waves of the Benjamin equation. - Vassilios A. Dougalis; Angel Durán; D. E. Mitsotakis (Math. Comput. Simul., 2016)

Conservative modified Serre-Green-Naghdi equations with improved dispersion characteristics. - Didier Clamond; Denys Dutykh; Dimitrios Mitsotakis (Commun. Nonlinear Sci. Numer. Simul., 2017)

Error Estimates for Galerkin Approximations of the Serre Equations. - D. C. Antonopoulos; Vassilios A. Dougalis; D. E. Mitsotakis (SIAM J. Numer. Anal., 2017)

Asymptotic nonlinear and dispersive pulsatile flow in elastic vessels with cylindrical symmetry. - Dimitrios Mitsotakis; Denys Dutykh; Qian Li (Comput. Math. Appl., 2018)

Hamiltonian regularisation of shallow water equations with uneven bottom. - Didier Clamond; Denys Dutykh; Dimitrios Mitsotakis (CoRR, 2019)

Error estimates for Galerkin finite element methods for the Camassa-Holm equation. - D. C. Antonopoulos; Vassilios A. Dougalis; D. E. Mitsotakis (Numerische Mathematik, 2019)

A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations. - Hendrik Ranocha; Dimitrios Mitsotakis; David I. Ketcheson (CoRR, 2020)

A regularized shallow-water waves system with slip-wall boundary conditions in a basin: Theory and numerical analysis. - Samer Israwi; Henrik Kalisch; Theodoros Katsaounis; Dimitrios Mitsotakis (CoRR, 2020)

A conservative fully-discrete numerical method for the regularised shallow water wave equations. - Dimitrios Mitsotakis; Hendrik Ranocha; David I. Ketcheson; Endre Süli (CoRR, 2020)

Boussinesq-Peregrine water wave models and their numerical approximation. - Theodoros Katsaounis; Dimitrios Mitsotakis; Georges Sadaka (J. Comput. Phys., 2020)

On the well-posedness of the Galerkin semidiscretization of the periodic initial-value problem of the Serre equations. - D. C. Antonopoulos; Vassilios A. Dougalis; D. E. Mitsotakis (CoRR, 2021)

Corrigendum: Error Estimates for Galerkin Approximations of the Serre Equations. - D. C. Antonopoulos; Vassilios A. Dougalis; D. E. Mitsotakis (SIAM J. Numer. Anal., 2021)

A Conservative Fully Discrete Numerical Method for the Regularized Shallow Water Wave Equations. - Dimitrios Mitsotakis; Hendrik Ranocha; David I. Ketcheson; Endre Süli (SIAM J. Sci. Comput., 2021)

Deep learning of inverse water waves problems using multi-fidelity data: Application to Serre-Green-Naghdi equations. - Ameya D. Jagtap; Dimitrios Mitsotakis; George Em Karniadakis (CoRR, 2022)

Extended water wave systems of Boussinesq equations on a finite interval: Theory and numerical analysis. - Dionyssios Mantzavinos; Dimitrios Mitsotakis (CoRR, 2022)

On iterative methods based on Sherman-Morrison-Woodbury regular splitting. - Dimitrios Mitsotakis (CoRR, 2023)

Bona-Smith-Type systems in Bounded Domains with Slip-Wall Boundary Conditions: Theoretical Justification and a Conservative Numerical Scheme. - Dimitrios Antonopoulos; Dimitrios Mitsotakis (J. Sci. Comput., 2025)

The complex-step Newton method and its convergence. - Dimitrios Mitsotakis (Numerische Mathematik, 2025)