Georgios Akrivis

Engineering · Physical Sciences

25h-index2.3kcitations96works0.82yr avg
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Research Topics

Advanced Numerical Methods in Computational Mathematics(54), Numerical methods for differential equations(43), Differential Equations and Numerical Methods(26), Advanced Mathematical Modeling in Engineering(15), Stability and Controllability of Differential Equations(12)

Publications96 total

Projection-free approximation of flows of harmonic maps with quadratic constraint accuracy and variable step sizes
Springer Link (Chiba Institute of Technology)·2026
Projection-free approximation of flows of harmonic maps with quadratic constraint accuracy and variable step sizes
ESAIM. Mathematical modelling and numerical analysis·2026
Implicit and implicit--explicit high-order BDF methods for coupled elliptic--parabolic systems
arXiv (Cornell University)·2026Open Access
Implicit and implicit--explicit high-order BDF methods for coupled elliptic--parabolic systems
ArXiv.org·2026Open Access
A priori and a posteriori error estimates for discontinuous Galerkin time-discrete methods via maximal regularity
BIT Numerical Mathematics·2025Open Access
Runge–Kutta physics informed neural networks: formulation and analysis
Numerische Mathematik·2025· 2 cited
Preface: Modeling Wave Propagation: Mathematical Theory and Numerical Analysis, in Memory of Prof. Vassilios Dougalis
Studies in Applied Mathematics·2025
Projection-free approximation of flows of harmonic maps with quadratic constraint accuracy and variable step sizes
ArXiv.org·2025Open Access
High-order mass-, energy- and momentum-conserving methods for the nonlinear Schrödinger equation
Journal of Computational Physics·2025· 2 citedOpen Access
Runge-Kutta Physics Informed Neural Networks: Formulation and Analysis
arXiv (Cornell University)·2024Open Access
Error analysis for discontinuous Galerkin time-stepping methods for nonlinear parabolic equations via maximal regularity
arXiv (Cornell University)·2024Open Access
The weighted and shifted seven-step BDF method for parabolic equations
IMA Journal of Numerical Analysis·2024
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries
Mathematics of Computation·2024· 2 cited
The weighted and shifted seven-step BDF method for parabolic equations
arXiv (Cornell University)·2024Open Access
The variable two-step BDF method for parabolic equations
BIT Numerical Mathematics·2024· 6 citedOpen Access
High-Order Mass-, Energy- and Momentum-Conserving Methods for the Nonlinear Schrödinger Equation
SSRN Electronic Journal·2024Open Access
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries
arXiv (Cornell University)·2023Open Access
A posteriori error estimates for Radau IIA methods via maximal parabolic regularity
Numerische Mathematik·2022· 2 cited
On Maximal Regularity Estimates for Discontinuous Galerkin Time-Discrete Methods
SIAM Journal on Numerical Analysis·2022· 6 cited
Structure-preserving Gauss methods for the nonlinear Schrödinger equation
CALCOLO·2021· 16 cited
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Frequent Co-authors

Vassilios A. Dougalis(9), Charalambos Makridakis(7), Ohannes A. Karakashian(6), Yiorgos‐Sokratis Smyrlis(6), Buyang Li(5), Michel Crouzeix(4), Demetrios T. Papageorgiou(4), Ricardo H. Nochetto(3), Christian Lubich(3), William R. McKinney(2), Minghua Chen(2), Zhi Zhou(2), Fotini Karakatsani(2), Georgios E. Zouraris(2), Dongfang Li(1), Ravi P. Agarwall(1), Stig Larsson(1), Emmanuil Katsoprinakis(1), Yu Fan(1), Panagiotis Chatzipantelidis(1)