Charalambos G. Makridakis

Publication Activity (10 Years)

Years Active: 1998-2023
Publications (10 Years): 12

Top Topics

Convergence Analysis

Optimality Conditions

Phase Transition

Machine Learning Algorithms

Top Venues

SIAM J. Numer. Anal.

Numerische Mathematik

Publications

Georgios Grekas, Konstantinos Koumatos, Charalambos G. Makridakis, Andreas P. Vikelis
A class of Discontinuous Galerkin methods for nonlinear variational problems. CoRR (2023)
Dimitrios Gazoulis, Ioannis Gkanis, Charalambos G. Makridakis
On the Stability and Convergence of Physics Informed Neural Networks. CoRR (2023)
Michail Loulakis, Charalambos G. Makridakis
A new approach to generalisation error of machine learning algorithms: Estimates and convergence. CoRR (2023)
Georgios Grekas, Konstantinos Koumatos, Charalambos G. Makridakis, Phoebus Rosakis
Approximations of Energy Minimization in Cell-Induced Phase Transitions of Fibrous Biomaterials: $\Gamma$-Convergence Analysis. SIAM J. Numer. Anal. 60 (2) (2022)
Lehel Banjai, Charalambos G. Makridakis
A posteriori error analysis for approximations of time-fractional subdiffusion problems. CoRR (2022)
Lehel Banjai, Charalambos G. Makridakis
A posteriori error analysis for approximations of time-fractional subdiffusion problems. Math. Comput. 91 (336) (2022)
Georgios Akrivis, Charalambos G. Makridakis
On Maximal Regularity Estimates for Discontinuous Galerkin Time-Discrete Methods. SIAM J. Numer. Anal. 60 (1) (2022)
Georgios Akrivis, Charalambos G. Makridakis
A posteriori error estimates for Radau IIA methods via maximal parabolic regularity. Numerische Mathematik 150 (3) (2022)
Ioannis Gkanis, Charalambos G. Makridakis
A new class of entropy stable schemes for hyperbolic systems: Finite element methods. Math. Comput. 90 (330) (2021)
Georgios Grekas, Konstantinos Koumatos, Charalambos G. Makridakis, Phoebus Rosakis
Approximations of cell-induced phase transitions in fibrous biomaterials: Γ-convergence analysis. CoRR (2019)
Charalambos G. Makridakis
On the Babuška-Osborn approach to finite element analysis: \(L^2\) estimates for unstructured meshes. Numerische Mathematik 139 (4) (2018)
Emmanuil H. Georgoulis, Omar Lakkis, Charalambos G. Makridakis, Juha M. Virtanen
A Posteriori Error Estimates for Leap-Frog and Cosine Methods for Second Order Evolution Problems. SIAM J. Numer. Anal. 54 (1) (2016)
Ohannes A. Karakashian, Charalambos G. Makridakis
A posteriori error estimates for discontinuous Galerkin methods for the generalized Korteweg-de Vries equation. Math. Comput. 84 (293) (2015)
Jan Giesselmann, Charalambos G. Makridakis, Tristan Pryer
A Posteriori Analysis of Discontinuous Galerkin Schemes for Systems of Hyperbolic Conservation Laws. SIAM J. Numer. Anal. 53 (3) (2015)
Omar Lakkis, Charalambos G. Makridakis, Tristan Pryer
(Ω)) in parabolic problems. Math. Comput. 84 (294) (2015)
Jan Giesselmann, Charalambos G. Makridakis, Tristan Pryer
Energy consistent discontinuous Galerkin methods for the Navier-Stokes-Korteweg system. Math. Comput. 83 (289) (2014)
Christian Lubich, Charalambos G. Makridakis
Interior a posteriori error estimates for time discrete approximations of parabolic problems. Numerische Mathematik 124 (3) (2013)
Eberhard Bänsch, Fotini Karakatsani, Charalambos G. Makridakis
A Posteriori Error Control for Fully Discrete Crank-Nicolson Schemes. SIAM J. Numer. Anal. 50 (6) (2012)
D. A. Mitsoudis, Charalambos G. Makridakis, Michael Plexousakis
Helmholtz Equation with Artificial Boundary Conditions in a Two-Dimensional Waveguide. SIAM J. Math. Anal. 44 (6) (2012)
Charalambos G. Makridakis, Christoph Ortner, Endre Süli
A priori error analysis of two force-based atomistic/continuum models of a periodic chain. Numerische Mathematik 119 (1) (2011)
Irene Kyza, Charalambos G. Makridakis
Analysis for Time Discrete Approximations of Blow-up Solutions of Semilinear Parabolic Equations. SIAM J. Numer. Anal. 49 (1) (2011)
Georgios Akrivis, Charalambos G. Makridakis, Ricardo H. Nochetto
Galerkin and Runge-Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence. Numerische Mathematik 118 (3) (2011)
Alan Demlow, Charalambos G. Makridakis
Sharply local pointwise a posteriori error estimates for parabolic problems. Math. Comput. 79 (271) (2010)
Alan Demlow, Omar Lakkis, Charalambos G. Makridakis
A Posteriori Error Estimates in the Maximum Norm for Parabolic Problems. SIAM J. Numer. Anal. 47 (3) (2009)
Georgios Akrivis, Charalambos G. Makridakis, Ricardo H. Nochetto
Optimal order a posteriori error estimates for a class of Runge-Kutta and Galerkin methods. Numerische Mathematik 114 (1) (2009)
Eduardo Cuesta, Charalambos G. Makridakis
A posteriori error estimates and maximal regularity for approximations of fully nonlinear parabolic problems in Banach spaces. Numerische Mathematik 110 (3) (2008)
Andreas Dedner, Charalambos G. Makridakis, Mario Ohlberger
Error Control for a Class of Runge-Kutta Discontinuous Galerkin Methods for Nonlinear Conservation Laws. SIAM J. Numer. Anal. 45 (2) (2007)
Omar Lakkis, Charalambos G. Makridakis
Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems. Math. Comput. 75 (256) (2006)
Georgios Akrivis, Charalambos G. Makridakis, Ricardo H. Nochetto
A posteriori error estimates for the Crank-Nicolson method for parabolic equations. Math. Comput. 75 (254) (2006)
Charalambos G. Makridakis, Ricardo H. Nochetto
A posteriori error analysis for higher order dissipative methods for evolution problems. Numerische Mathematik 104 (4) (2006)
Ohannes A. Karakashian, Charalambos G. Makridakis
Convergence of a continuous Galerkin method with mesh modification for nonlinear wave equations. Math. Comput. 74 (249) (2005)
Christos Arvanitis, Charalambos G. Makridakis, Athanasios E. Tzavaras
Stability and Convergence of a Class of Finite Element Schemes for Hyperbolic Systems of Conservation Laws. SIAM J. Numer. Anal. 42 (4) (2004)
Charalambos G. Makridakis, Benoît Perthame
Optimal Rate of Convergence for Anisotropic Vanishing Viscosity Limit of a Scalar Balance Law. SIAM J. Math. Anal. 34 (6) (2003)
Charalambos G. Makridakis, Ricardo H. Nochetto
Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems. SIAM J. Numer. Anal. 41 (4) (2003)
Charalambos G. Makridakis, Benoit Perthame
Sharp CFL, Discrete Kinetic Formulation, and Entropic Schemes for Scalar Conservation Laws. SIAM J. Numer. Anal. 41 (3) (2003)
Theodoros Katsaounis, Charalambos G. Makridakis
Finite volume relaxation schemes for multidimensional conservation laws. Math. Comput. 70 (234) (2001)
Laurent Gosse, Charalambos G. Makridakis
Two A Posteriori Error Estimates for One-Dimensional Scalar Conservation Laws. SIAM J. Numer. Anal. 38 (3) (2000)
Georgios Akrivis, Michel Crouzeix, Charalambos G. Makridakis
Implicit-explicit multistep methods for quasilinear parabolic equations. Numerische Mathematik 82 (4) (1999)
Georgios Kossioris, Charalambos G. Makridakis, Panagiotis E. Souganidis
Finite volume schemes for Hamilton-Jacobi equations. Numerische Mathematik 83 (3) (1999)
Georgios Akrivis, Michel Crouzeix, Charalambos G. Makridakis
Implicit-explicit multistep finite element methods for nonlinear parabolic problems. Math. Comput. 67 (222) (1998)
Ohannes A. Karakashian, Charalambos G. Makridakis
A space-time finite element method for the nonlinear Schröinger equation: the discontinuous Galerkin method. Math. Comput. 67 (222) (1998)