Georgios Akrivis

36 papers Journal 36

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Implicit and implicit-explicit high-order BDF methods for coupled elliptic-parabolic systems. CoRR Georgios Akrivis, Minghua Chen, Fan Yu
2025	J	`jnl`	High-order mass-, energy- and momentum-conserving methods for the nonlinear Schrödinger equation. J. Comput. Phys. Georgios Akrivis, Buyang Li, Rong Tang, Hui Zhang
2025	J	`jnl`	Projection-free approximation of flows of harmonic maps with quadratic constraint accuracy and variable step sizes. CoRR Georgios Akrivis, Sören Bartels, Michele Ruggeri, Jilu Wang
2025	J	`jnl`	Runge-Kutta physics informed neural networks: formulation and analysis. Numerische Mathematik Georgios Akrivis, Charalambos G. Makridakis, Costas Smaragdakis
2024	J	`jnl`	A priori and a posteriori error estimates for discontinuous Galerkin time-discrete methods via maximal regularity. CoRR Georgios Akrivis, Stig Larsson
2024	J	`jnl`	Error analysis for discontinuous Galerkin time-stepping methods for nonlinear parabolic equations via maximal regularity. CoRR Georgios Akrivis, Stig Larsson
2024	J	`jnl`	Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries. Math. Comput. Georgios Akrivis, Sören Bartels, Christian Palus
2024	J	`jnl`	Runge-Kutta Physics Informed Neural Networks: Formulation and Analysis. CoRR Georgios Akrivis, Charalambos G. Makridakis, Costas Smaragdakis
2024	J	`jnl`	The weighted and shifted seven-step BDF method for parabolic equations. CoRR Georgios Akrivis, Minghua Chen, Fan Yu
2023	J	`jnl`	Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries. CoRR Georgios Akrivis, Sören Bartels, Christian Palus
2022	J	`jnl`	A posteriori error estimates for Radau IIA methods via maximal parabolic regularity. Numerische Mathematik Georgios Akrivis, Charalambos G. Makridakis
2022	J	`jnl`	On Maximal Regularity Estimates for Discontinuous Galerkin Time-Discrete Methods. SIAM J. Numer. Anal. Georgios Akrivis, Charalambos G. Makridakis
2021	J	`jnl`	Convergence of a Second-order Energy-decaying Method for the Viscous Rotating Shallow Water Equation. SIAM J. Numer. Anal. Georgios Akrivis, Buyang Li, Jilu Wang
2021	J	`jnl`	Higher-order linearly implicit full discretization of the Landau-Lifshitz-Gilbert equation. Math. Comput. Georgios Akrivis, Michael Feischl, Balázs Kovács, Christian Lubich
2021	J	`jnl`	The Energy Technique for the Six-Step BDF Method. SIAM J. Numer. Anal. Georgios Akrivis, Minghua Chen, Fan Yu, Zhi Zhou
2020	J	`jnl`	An analogue to the A(θ)-stability concept for implicit-explicit BDF methods. SIAM J. Numer. Anal. Georgios Akrivis, Emmanuil Katsoprinakis
2020	J	`jnl`	The energy technique for the six-step BDF method. CoRR Georgios Akrivis, Minghua Chen, Fan Yu, Zhi Zhou
2019	J	`jnl`	Energy-Decaying Extrapolated RK-SAV Methods for the Allen-Cahn and Cahn-Hilliard Equations. SIAM J. Sci. Comput. Georgios Akrivis, Buyang Li, Dongfang Li
2017	J	`jnl`	Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations. Math. Comput. Georgios Akrivis, Buyang Li, Christian Lubich
2016	J	`jnl`	Backward difference formulae: New multipliers and stability properties for parabolic equations. Math. Comput. Georgios Akrivis, Emmanuil Katsoprinakis
2016	J	`jnl`	Stability properties of implicit-explicit multistep methods for a class of nonlinear parabolic equations. Math. Comput. Georgios Akrivis
2015	J	`jnl`	Fully implicit, linearly implicit and implicit-explicit backward difference formulae for quasi-linear parabolic equations. Numerische Mathematik Georgios Akrivis, Christian Lubich
2015	J	`jnl`	Stability of Implicit-Explicit Backward Difference Formulas For Nonlinear Parabolic Equations. SIAM J. Numer. Anal. Georgios Akrivis
2013	J	`jnl`	Implicit-explicit multistep methods for nonlinear parabolic equations. Math. Comput. Georgios Akrivis
2012	J	`jnl`	Computational Study of the Dispersively Modified Kuramoto-Sivashinsky Equation. SIAM J. Sci. Comput. Georgios Akrivis, D. T. Papageorgiou, Yiorgos Sokratis Smyrlis
2011	J	`jnl`	Galerkin and Runge-Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence. Numerische Mathematik Georgios Akrivis, Charalambos G. Makridakis, Ricardo H. Nochetto
2010	J	`jnl`	A Posteriori Error Estimates for the Two-Step Backward Differentiation Formula Method for Parabolic Equations. SIAM J. Numer. Anal. Georgios Akrivis, Panagiotis Chatzipantelidis
2009	J	`jnl`	Optimal order a posteriori error estimates for a class of Runge-Kutta and Galerkin methods. Numerische Mathematik Georgios Akrivis, Charalambos G. Makridakis, Ricardo H. Nochetto
2006	J	`jnl`	A posteriori error estimates for the Crank-Nicolson method for parabolic equations. Math. Comput. Georgios Akrivis, Charalambos G. Makridakis, Ricardo H. Nochetto
2004	J	`jnl`	Linearly implicit methods for nonlinear parabolic equations. Math. Comput. Georgios Akrivis, Michel Crouzeix
2003	J	`jnl`	Linearly implicit methods for nonlinear evolution equations. Numerische Mathematik Georgios Akrivis, Ohannes A. Karakashian, Fotini Karakatsani
2003	J	`jnl`	Numerical Approximation of Blow-Up of Radially Symmetric Solutions of the Nonlinear Schrödinger Equation. SIAM J. Sci. Comput. Georgios Akrivis, Vassilios A. Dougalis, Ohannes A. Karakashian, W. R. McKinney
2001	J	`jnl`	Finite Difference Schemes for the "Parabolic" Equation in a Variable Depth Environment with a Rigid Bottom Boundary Condition. SIAM J. Numer. Anal. Georgios Akrivis, Vassilios A. Dougalis, Georgios E. Zouraris
1999	J	`jnl`	Implicit-explicit multistep methods for quasilinear parabolic equations. Numerische Mathematik Georgios Akrivis, Michel Crouzeix, Charalambos G. Makridakis
1998	J	`jnl`	Implicit-explicit multistep finite element methods for nonlinear parabolic problems. Math. Comput. Georgios Akrivis, Michel Crouzeix, Charalambos G. Makridakis
1984	J	`jnl`	On the definiteness of quadrature formulae of Clenshaw-Curtis type. Computing Georgios Akrivis, Klaus-Jürgen Förster