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ORCIDCharalambos G. Makridakis
Person information
- affiliation: University of Crete, Department of Mathematics and Applied Mathematics, Heraklion, Greece
- affiliation: FORTH, Institute for Applied and Computational Mathematics, Heraklion, Greece
- affiliation: University of Sussex, School of Mathematical and Physical Sciences, UK
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2020 – today
- 2024
[i6]Georgios Grekas, Charalambos G. Makridakis:
Deep Ritz - Finite Element methods: Neural Network Methods trained with Finite Elements. CoRR abs/2409.08362 (2024)- 2023
- [i5]Michail Loulakis, Charalambos G. Makridakis:
A new approach to generalisation error of machine learning algorithms: Estimates and convergence. CoRR abs/2306.13784 (2023) - [i4]Dimitrios Gazoulis, Ioannis Gkanis, Charalambos G. Makridakis:
On the Stability and Convergence of Physics Informed Neural Networks. CoRR abs/2308.05423 (2023) - [i3]Georgios Grekas, Konstantinos Koumatos, Charalambos G. Makridakis, Andreas P. Vikelis:
A class of Discontinuous Galerkin methods for nonlinear variational problems. CoRR abs/2308.12891 (2023) - 2022
- [j36]Lehel Banjai, Charalambos G. Makridakis:
A posteriori error analysis for approximations of time-fractional subdiffusion problems. Math. Comput. 91(336): 1711-1737 (2022) - [j35]Georgios Akrivis, Charalambos G. Makridakis:
A posteriori error estimates for Radau IIA methods via maximal parabolic regularity. Numerische Mathematik 150(3): 691-717 (2022) - [j34]Georgios Akrivis, Charalambos G. Makridakis:
On Maximal Regularity Estimates for Discontinuous Galerkin Time-Discrete Methods. SIAM J. Numer. Anal. 60(1): 180-194 (2022) - [j33]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): 715-750 (2022) - [i2]Lehel Banjai, Charalambos G. Makridakis:
A posteriori error analysis for approximations of time-fractional subdiffusion problems. CoRR abs/2203.00340 (2022) - 2021
- [j32]Ioannis Gkanis, Charalambos G. Makridakis:
A new class of entropy stable schemes for hyperbolic systems: Finite element methods. Math. Comput. 90(330): 1663-1699 (2021)
2010 – 2019
- 2019
- [i1]Georgios Grekas, Konstantinos Koumatos, Charalambos G. Makridakis, Phoebus Rosakis:
Approximations of cell-induced phase transitions in fibrous biomaterials: Γ-convergence analysis. CoRR abs/1907.01382 (2019) - 2018
- [j31]Charalambos G. Makridakis:
On the Babuška-Osborn approach to finite element analysis: \(L^2\) estimates for unstructured meshes. Numerische Mathematik 139(4): 831-844 (2018) - 2016
- [j30]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): 120-136 (2016) - 2015
- [j29]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): 1145-1167 (2015) - [j28]Omar Lakkis, Charalambos G. Makridakis, Tristan Pryer:
A comparison of duality and energy a posteriori estimates for L∞(0, T;L2(Ω)) in parabolic problems. Math. Comput. 84(294): 1537-1569 (2015) - [j27]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): 1280-1303 (2015) - 2014
- [j26]Jan Giesselmann, Charalambos G. Makridakis, Tristan Pryer:
Energy consistent discontinuous Galerkin methods for the Navier-Stokes-Korteweg system. Math. Comput. 83(289): 2071-2099 (2014) - 2013
- [j25]Christian Lubich, Charalambos G. Makridakis:
Interior a posteriori error estimates for time discrete approximations of parabolic problems. Numerische Mathematik 124(3): 541-557 (2013) - 2012
- [j24]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): 4320-4344 (2012) - [j23]Eberhard Bänsch, Fotini Karakatsani, Charalambos G. Makridakis:
A Posteriori Error Control for Fully Discrete Crank-Nicolson Schemes. SIAM J. Numer. Anal. 50(6): 2845-2872 (2012) - 2011
- [j22]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): 429-456 (2011) - [j21]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): 83-121 (2011) - [j20]Irene Kyza, Charalambos G. Makridakis:
Analysis for Time Discrete Approximations of Blow-up Solutions of Semilinear Parabolic Equations. SIAM J. Numer. Anal. 49(1): 405-426 (2011) - 2010
- [j19]Alan Demlow, Charalambos G. Makridakis:
Sharply local pointwise a posteriori error estimates for parabolic problems. Math. Comput. 79(271): 1233-1262 (2010)
2000 – 2009
- 2009
- [j18]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): 133 (2009) - [j17]Alan Demlow, Omar Lakkis, Charalambos G. Makridakis:
A Posteriori Error Estimates in the Maximum Norm for Parabolic Problems. SIAM J. Numer. Anal. 47(3): 2157-2176 (2009) - 2008
- [j16]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): 257-275 (2008) - 2007
- [j15]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): 514-538 (2007) - 2006
- [j14]Georgios Akrivis, Charalambos G. Makridakis, Ricardo H. Nochetto:
A posteriori error estimates for the Crank-Nicolson method for parabolic equations. Math. Comput. 75(254): 511-531 (2006) - [j13]Omar Lakkis, Charalambos G. Makridakis:
Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems. Math. Comput. 75(256): 1627-1658 (2006) - [j12]Charalambos G. Makridakis, Ricardo H. Nochetto:
A posteriori error analysis for higher order dissipative methods for evolution problems. Numerische Mathematik 104(4): 489-514 (2006) - 2005
- [j11]Ohannes A. Karakashian, Charalambos G. Makridakis:
Convergence of a continuous Galerkin method with mesh modification for nonlinear wave equations. Math. Comput. 74(249): 85-102 (2005) - 2004
- [j10]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): 1357-1393 (2004) - 2003
- [j9]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): 1300-1307 (2003) - [j8]Charalambos G. Makridakis, Benoit Perthame:
Sharp CFL, Discrete Kinetic Formulation, and Entropic Schemes for Scalar Conservation Laws. SIAM J. Numer. Anal. 41(3): 1032-1051 (2003) - [j7]Charalambos G. Makridakis, Ricardo H. Nochetto:
Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems. SIAM J. Numer. Anal. 41(4): 1585-1594 (2003) - 2001
- [j6]Theodoros Katsaounis, Charalambos G. Makridakis:
Finite volume relaxation schemes for multidimensional conservation laws. Math. Comput. 70(234): 533-553 (2001) - 2000
- [j5]Laurent Gosse, Charalambos G. Makridakis:
Two A Posteriori Error Estimates for One-Dimensional Scalar Conservation Laws. SIAM J. Numer. Anal. 38(3): 964-988 (2000)
1990 – 1999
- 1999
- [j4]Georgios Akrivis, Michel Crouzeix, Charalambos G. Makridakis:
Implicit-explicit multistep methods for quasilinear parabolic equations. Numerische Mathematik 82(4): 521-541 (1999) - [j3]Georgios Kossioris, Charalambos G. Makridakis, Panagiotis E. Souganidis:
Finite volume schemes for Hamilton-Jacobi equations. Numerische Mathematik 83(3): 427-442 (1999) - 1998
- [j2]Georgios Akrivis, Michel Crouzeix, Charalambos G. Makridakis:
Implicit-explicit multistep finite element methods for nonlinear parabolic problems. Math. Comput. 67(222): 457-477 (1998) - [j1]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): 479-499 (1998)
Coauthor Index
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