On the definiteness of quadrature formulae of Clenshaw-Curtis type. - Georgios Akrivis; Klaus-Jürgen Förster (Computing, 1984)

Implicit-explicit multistep finite element methods for nonlinear parabolic problems. - Georgios Akrivis; Michel Crouzeix; Charalambos G. Makridakis (Math. Comput., 1998)

Implicit-explicit multistep methods for quasilinear parabolic equations. - Georgios Akrivis; Michel Crouzeix; Charalambos G. Makridakis (Numerische Mathematik, 1999)

Finite Difference Schemes for the "Parabolic" Equation in a Variable Depth Environment with a Rigid Bottom Boundary Condition. - Georgios Akrivis; Vassilios A. Dougalis; Georgios E. Zouraris (SIAM J. Numer. Anal., 2001)

Linearly implicit methods for nonlinear evolution equations. - Georgios Akrivis; Ohannes A. Karakashian; Fotini Karakatsani (Numerische Mathematik, 2003)

Numerical Approximation of Blow-Up of Radially Symmetric Solutions of the Nonlinear Schrödinger Equation. - Georgios Akrivis; Vassilios A. Dougalis; Ohannes A. Karakashian; W. R. McKinney (SIAM J. Sci. Comput., 2003)

Linearly implicit methods for nonlinear parabolic equations. - Georgios Akrivis; Michel Crouzeix (Math. Comput., 2004)

A posteriori error estimates for the Crank-Nicolson method for parabolic equations. - Georgios Akrivis; Charalambos G. Makridakis; Ricardo H. Nochetto (Math. Comput., 2006)

Optimal order a posteriori error estimates for a class of Runge-Kutta and Galerkin methods. - Georgios Akrivis; Charalambos G. Makridakis; Ricardo H. Nochetto (Numerische Mathematik, 2009)

A Posteriori Error Estimates for the Two-Step Backward Differentiation Formula Method for Parabolic Equations. - Georgios Akrivis; Panagiotis Chatzipantelidis (SIAM J. Numer. Anal., 2010)

Galerkin and Runge-Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence. - Georgios Akrivis; Charalambos G. Makridakis; Ricardo H. Nochetto (Numerische Mathematik, 2011)

Computational Study of the Dispersively Modified Kuramoto-Sivashinsky Equation. - Georgios Akrivis; D. T. Papageorgiou; Yiorgos Sokratis Smyrlis (SIAM J. Sci. Comput., 2012)

Implicit-explicit multistep methods for nonlinear parabolic equations. - Georgios Akrivis (Math. Comput., 2013)

Fully implicit, linearly implicit and implicit-explicit backward difference formulae for quasi-linear parabolic equations. - Georgios Akrivis; Christian Lubich (Numerische Mathematik, 2015)

Stability of Implicit-Explicit Backward Difference Formulas For Nonlinear Parabolic Equations. - Georgios Akrivis (SIAM J. Numer. Anal., 2015)

Stability properties of implicit-explicit multistep methods for a class of nonlinear parabolic equations. - Georgios Akrivis (Math. Comput., 2016)

Backward difference formulae: New multipliers and stability properties for parabolic equations. - Georgios Akrivis; Emmanuil Katsoprinakis (Math. Comput., 2016)

Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations. - Georgios Akrivis; Buyang Li; Christian Lubich (Math. Comput., 2017)

Energy-Decaying Extrapolated RK-SAV Methods for the Allen-Cahn and Cahn-Hilliard Equations. - Georgios Akrivis; Buyang Li; Dongfang Li (SIAM J. Sci. Comput., 2019)

An analogue to the A(θ)-stability concept for implicit-explicit BDF methods. - Georgios Akrivis; Emmanuil Katsoprinakis (SIAM J. Numer. Anal., 2020)

Higher-order linearly implicit full discretization of the Landau-Lifshitz-Gilbert equation. - Georgios Akrivis; Michael Feischl; Balázs Kovács; Christian Lubich (Math. Comput., 2021)

The Energy Technique for the Six-Step BDF Method. - Georgios Akrivis; Minghua Chen 002; Fan Yu; Zhi Zhou 002 (SIAM J. Numer. Anal., 2021)

Convergence of a Second-order Energy-decaying Method for the Viscous Rotating Shallow Water Equation. - Georgios Akrivis; Buyang Li; Jilu Wang (SIAM J. Numer. Anal., 2021)

A posteriori error estimates for Radau IIA methods via maximal parabolic regularity. - Georgios Akrivis; Charalambos G. Makridakis (Numerische Mathematik, 2022)

On Maximal Regularity Estimates for Discontinuous Galerkin Time-Discrete Methods. - Georgios Akrivis; Charalambos G. Makridakis (SIAM J. Numer. Anal., 2022)

The weighted and shifted seven-step BDF method for parabolic equations. - Georgios Akrivis; Minghua Chen; Fan Yu (CoRR, 2024)

A priori and a posteriori error estimates for discontinuous Galerkin time-discrete methods via maximal regularity. - Georgios Akrivis; Stig Larsson 001 (CoRR, 2024)

Error analysis for discontinuous Galerkin time-stepping methods for nonlinear parabolic equations via maximal regularity. - Georgios Akrivis; Stig Larsson 001 (CoRR, 2024)

Runge-Kutta Physics Informed Neural Networks: Formulation and Analysis. - Georgios Akrivis; Charalambos G. Makridakis; Costas Smaragdakis (CoRR, 2024)

Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries. - Georgios Akrivis; Sören Bartels; Christian Palus (Math. Comput., 2024)

High-order mass-, energy- and momentum-conserving methods for the nonlinear Schrödinger equation. - Georgios Akrivis; Buyang Li; Rong Tang; Hui Zhang (J. Comput. Phys., 2025)

Projection-free approximation of flows of harmonic maps with quadratic constraint accuracy and variable step sizes. - Georgios Akrivis; Sören Bartels; Michele Ruggeri; Jilu Wang (CoRR, 2025)