Charalambos G. Makridakis

Affiliations:
  • University of Crete, Department of Mathematics and Applied Mathematics, Heraklion, Greece
  • FORTH, Institute for Applied and Computational Mathematics, Heraklion, Greece
  • University of Sussex, School of Mathematical and Physical Sciences, UK


According to our database1, Charalambos G. Makridakis authored at least 41 papers between 1998 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

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Bibliography

2024
Deep Ritz - Finite Element methods: Neural Network Methods trained with Finite Elements.
CoRR, 2024

2023
A class of Discontinuous Galerkin methods for nonlinear variational problems.
CoRR, 2023

On the Stability and Convergence of Physics Informed Neural Networks.
CoRR, 2023

A new approach to generalisation error of machine learning algorithms: Estimates and convergence.
CoRR, 2023

2022
Approximations of Energy Minimization in Cell-Induced Phase Transitions of Fibrous Biomaterials: $\Gamma$-Convergence Analysis.
SIAM J. Numer. Anal., 2022

On Maximal Regularity Estimates for Discontinuous Galerkin Time-Discrete Methods.
SIAM J. Numer. Anal., 2022

A posteriori error estimates for Radau IIA methods via maximal parabolic regularity.
Numerische Mathematik, 2022

A posteriori error analysis for approximations of time-fractional subdiffusion problems.
Math. Comput., 2022

2021
A new class of entropy stable schemes for hyperbolic systems: Finite element methods.
Math. Comput., 2021

2019
Approximations of cell-induced phase transitions in fibrous biomaterials: Γ-convergence analysis.
CoRR, 2019

2018
On the Babuška-Osborn approach to finite element analysis: \(L^2\) estimates for unstructured meshes.
Numerische Mathematik, 2018

2016
A Posteriori Error Estimates for Leap-Frog and Cosine Methods for Second Order Evolution Problems.
SIAM J. Numer. Anal., 2016

2015
A Posteriori Analysis of Discontinuous Galerkin Schemes for Systems of Hyperbolic Conservation Laws.
SIAM J. Numer. Anal., 2015

A comparison of duality and energy a posteriori estimates for L<sub>∞</sub>(0, T;L<sub>2</sub>(Ω)) in parabolic problems.
Math. Comput., 2015

A posteriori error estimates for discontinuous Galerkin methods for the generalized Korteweg-de Vries equation.
Math. Comput., 2015

2014
Energy consistent discontinuous Galerkin methods for the Navier-Stokes-Korteweg system.
Math. Comput., 2014

2013
Interior a posteriori error estimates for time discrete approximations of parabolic problems.
Numerische Mathematik, 2013

2012
A Posteriori Error Control for Fully Discrete Crank-Nicolson Schemes.
SIAM J. Numer. Anal., 2012

Helmholtz Equation with Artificial Boundary Conditions in a Two-Dimensional Waveguide.
SIAM J. Math. Anal., 2012

2011
Analysis for Time Discrete Approximations of Blow-up Solutions of Semilinear Parabolic Equations.
SIAM J. Numer. Anal., 2011

A priori error analysis of two force-based atomistic/continuum models of a periodic chain.
Numerische Mathematik, 2011

Galerkin and Runge-Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence.
Numerische Mathematik, 2011

2010
Sharply local pointwise a posteriori error estimates for parabolic problems.
Math. Comput., 2010

2009
A Posteriori Error Estimates in the Maximum Norm for Parabolic Problems.
SIAM J. Numer. Anal., 2009

Optimal order a posteriori error estimates for a class of Runge-Kutta and Galerkin methods.
Numerische Mathematik, 2009

2008
A posteriori error estimates and maximal regularity for approximations of fully nonlinear parabolic problems in Banach spaces.
Numerische Mathematik, 2008

2007
Error Control for a Class of Runge-Kutta Discontinuous Galerkin Methods for Nonlinear Conservation Laws.
SIAM J. Numer. Anal., 2007

2006
A posteriori error analysis for higher order dissipative methods for evolution problems.
Numerische Mathematik, 2006

Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems.
Math. Comput., 2006

A posteriori error estimates for the Crank-Nicolson method for parabolic equations.
Math. Comput., 2006

2005
Convergence of a continuous Galerkin method with mesh modification for nonlinear wave equations.
Math. Comput., 2005

2004
Stability and Convergence of a Class of Finite Element Schemes for Hyperbolic Systems of Conservation Laws.
SIAM J. Numer. Anal., 2004

2003
Sharp CFL, Discrete Kinetic Formulation, and Entropic Schemes for Scalar Conservation Laws.
SIAM J. Numer. Anal., 2003

Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems.
SIAM J. Numer. Anal., 2003

Optimal Rate of Convergence for Anisotropic Vanishing Viscosity Limit of a Scalar Balance Law.
SIAM J. Math. Anal., 2003

2001
Finite volume relaxation schemes for multidimensional conservation laws.
Math. Comput., 2001

2000
Two A Posteriori Error Estimates for One-Dimensional Scalar Conservation Laws.
SIAM J. Numer. Anal., 2000

1999
Finite volume schemes for Hamilton-Jacobi equations.
Numerische Mathematik, 1999

Implicit-explicit multistep methods for quasilinear parabolic equations.
Numerische Mathematik, 1999

1998
A space-time finite element method for the nonlinear Schröinger equation: the discontinuous Galerkin method.
Math. Comput., 1998

Implicit-explicit multistep finite element methods for nonlinear parabolic problems.
Math. Comput., 1998


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