Finite volume relaxation schemes for multidimensional conservation laws. - Theodoros Katsaounis; Charalambos G. Makridakis (Math. Comput., 2001)

Upwinding sources at interfaces in conservation laws. - Theodoros Katsaounis; Benoit Perthame; Chiara Simeoni (Appl. Math. Lett., 2004)

First and second order error estimates for the Upwind Source at Interface method. - Theodoros Katsaounis; Chiara Simeoni (Math. Comput., 2005)

Effective Equations for Localization and Shear Band Formation. - Theodoros Katsaounis; Athanasios E. Tzavaras (SIAM J. Appl. Math., 2009)

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

On the Performance of the WRF Numerical Model over Complex Terrain on a High Performance Computing Cluster. - Nicholas Christakis; Theodoros Katsaounis; George Kossioris; Michael Plexousakis (HPCC/CSS/ICESS, 2014)

A posteriori error control and adaptivity for Crank-Nicolson finite element approximations for the linear Schrödinger equation. - Theodoros Katsaounis; Irene Kyza (Numerische Mathematik, 2015)

A Posteriori Error Analysis for Evolution Nonlinear Schrödinger Equations up to the Critical Exponent. - Theodoros Katsaounis; Irene Kyza (SIAM J. Numer. Anal., 2018)

Localization in Adiabatic Shear Flow Via Geometric Theory of Singular Perturbations. - Min-Gi Lee; Theodoros Katsaounis; Athanasios E. Tzavaras (J. Nonlinear Sci., 2019)

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)

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

A new Besse-type relaxation scheme for the numerical approximation of the Schrödinger-Poisson system. - Agissilaos Athanassoulis; Theodoros Katsaounis; Irene Kyza; Stephen Metcalfe (CoRR, 2021)

Optimization Methods for One Dimensional Elastodynamics. - Theodoros Katsaounis; Grigorios Kounadis; Ioanna Mousikou; Athanasios E. Tzavaras (CoRR, 2022)

A novel, structure-preserving, second-order-in-time relaxation scheme for Schrödinger-Poisson systems. - Agissilaos Athanassoulis; Theodoros Katsaounis; Irene Kyza; Stephen Metcalfe (J. Comput. Phys., 2023)

Efficient numerical approximations for a non-conservative Nonlinear Schrodinger equation appearing in wind-forced ocean waves. - Agissilaos Athanassoulis; Theodoros Katsaounis; Irene Kyza (CoRR, 2024)

Axisymmetric Flows with Swirl for Euler and Navier-Stokes Equations. - Theodoros Katsaounis; Ioanna Mousikou; Athanasios E. Tzavaras (J. Nonlinear Sci., 2024)