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ORCIDGeorgios Akrivis
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2020 – today
- 2024
[i6]Georgios Akrivis, Minghua Chen, Fan Yu:
The weighted and shifted seven-step BDF method for parabolic equations. CoRR abs/2405.02872 (2024)- [i5]Georgios Akrivis, Stig Larsson:
A priori and a posteriori error estimates for discontinuous Galerkin time-discrete methods via maximal regularity. CoRR abs/2407.15974 (2024) - [i4]Georgios Akrivis, Stig Larsson:
Error analysis for discontinuous Galerkin time-stepping methods for nonlinear parabolic equations via maximal regularity. CoRR abs/2412.08375 (2024) - [i3]Georgios Akrivis, Charalambos G. Makridakis, Costas Smaragdakis:
Runge-Kutta Physics Informed Neural Networks: Formulation and Analysis. CoRR abs/2412.20575 (2024) - 2023
- [i2]Georgios Akrivis, Sören Bartels, Christian Palus:
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries. CoRR abs/2310.00381 (2023) - 2022
- [j25]Georgios Akrivis, Charalambos G. Makridakis:
A posteriori error estimates for Radau IIA methods via maximal parabolic regularity. Numerische Mathematik 150(3): 691-717 (2022) - [j24]Georgios Akrivis, Charalambos G. Makridakis:
On Maximal Regularity Estimates for Discontinuous Galerkin Time-Discrete Methods. SIAM J. Numer. Anal. 60(1): 180-194 (2022) - 2021
- [j23]Georgios Akrivis, Michael Feischl
, Balázs Kovács, Christian Lubich:
Higher-order linearly implicit full discretization of the Landau-Lifshitz-Gilbert equation. Math. Comput. 90(329): 995-1038 (2021) - [j22]Georgios Akrivis, Buyang Li, Jilu Wang:
Convergence of a Second-order Energy-decaying Method for the Viscous Rotating Shallow Water Equation. SIAM J. Numer. Anal. 59(1): 265-288 (2021) - [j21]Georgios Akrivis, Minghua Chen, Fan Yu, Zhi Zhou:
The Energy Technique for the Six-Step BDF Method. SIAM J. Numer. Anal. 59(5): 2449-2472 (2021) - 2020
- [j20]Georgios Akrivis, Emmanuil Katsoprinakis:
An analogue to the A(θ)-stability concept for implicit-explicit BDF methods. SIAM J. Numer. Anal. 58(6): 3475-3503 (2020) - [i1]Georgios Akrivis, Minghua Chen, Fan Yu, Zhi Zhou:
The energy technique for the six-step BDF method. CoRR abs/2007.08924 (2020)
2010 – 2019
- 2019
- [j19]Georgios Akrivis, Buyang Li, Dongfang Li:
Energy-Decaying Extrapolated RK-SAV Methods for the Allen-Cahn and Cahn-Hilliard Equations. SIAM J. Sci. Comput. 41(6): A3703-A3727 (2019) - 2017
- [j18]Georgios Akrivis, Buyang Li, Christian Lubich:
Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations. Math. Comput. 86(306): 1527-1552 (2017) - 2016
- [j17]Georgios Akrivis, Emmanuil Katsoprinakis:
Backward difference formulae: New multipliers and stability properties for parabolic equations. Math. Comput. 85(301): 2195-2216 (2016) - [j16]Georgios Akrivis:
Stability properties of implicit-explicit multistep methods for a class of nonlinear parabolic equations. Math. Comput. 85(301): 2217-2229 (2016) - 2015
- [j15]Georgios Akrivis, Christian Lubich:
Fully implicit, linearly implicit and implicit-explicit backward difference formulae for quasi-linear parabolic equations. Numerische Mathematik 131(4): 713-735 (2015) - [j14]Georgios Akrivis:
Stability of Implicit-Explicit Backward Difference Formulas For Nonlinear Parabolic Equations. SIAM J. Numer. Anal. 53(1): 464-484 (2015) - 2013
- [j13]Georgios Akrivis:
Implicit-explicit multistep methods for nonlinear parabolic equations. Math. Comput. 82(281): 45-68 (2013) - 2012
- [j12]Georgios Akrivis, D. T. Papageorgiou, Yiorgos Sokratis Smyrlis:
Computational Study of the Dispersively Modified Kuramoto-Sivashinsky Equation. SIAM J. Sci. Comput. 34(2) (2012) - 2011
- [j11]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) - 2010
- [j10]Georgios Akrivis, Panagiotis Chatzipantelidis:
A Posteriori Error Estimates for the Two-Step Backward Differentiation Formula Method for Parabolic Equations. SIAM J. Numer. Anal. 48(1): 109-132 (2010)
2000 – 2009
- 2009
- [j9]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) - 2006
- [j8]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) - 2004
- [j7]Georgios Akrivis, Michel Crouzeix:
Linearly implicit methods for nonlinear parabolic equations. Math. Comput. 73(246): 613-635 (2004) - 2003
- [j6]Georgios Akrivis, Ohannes A. Karakashian, Fotini Karakatsani:
Linearly implicit methods for nonlinear evolution equations. Numerische Mathematik 94(3): 403-418 (2003) - [j5]Georgios Akrivis, Vassilios A. Dougalis, Ohannes A. Karakashian, W. R. McKinney:
Numerical Approximation of Blow-Up of Radially Symmetric Solutions of the Nonlinear Schrödinger Equation. SIAM J. Sci. Comput. 25(1): 186-212 (2003) - 2001
- [j4]Georgios Akrivis, Vassilios A. Dougalis, Georgios E. Zouraris:
Finite Difference Schemes for the "Parabolic" Equation in a Variable Depth Environment with a Rigid Bottom Boundary Condition. SIAM J. Numer. Anal. 39(2): 539-565 (2001)
1990 – 1999
- 1999
- [j3]Georgios Akrivis, Michel Crouzeix, Charalambos G. Makridakis:
Implicit-explicit multistep methods for quasilinear parabolic equations. Numerische Mathematik 82(4): 521-541 (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)
1980 – 1989
- 1984
- [j1]Georgios Akrivis, Klaus-Jürgen Förster:
On the definiteness of quadrature formulae of Clenshaw-Curtis type. Computing 33(3-4): 363-366 (1984)
Coauthor Index
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