Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Interpolated coefficients stabilizer-free weak Galerkin method for semilinear parabolic convection–diffusion problem

Wenjuan Li, Fuzheng Gao and Jintao Cui
Applied Mathematics Letters 159 109268 (2025)
https://doi.org/10.1016/j.aml.2024.109268

Interpolated coefficient characteristic finite element method for semilinear convection–diffusion optimal control problems

Xiaowu Li and Yuelong Tang
Results in Applied Mathematics 17 100357 (2023)
https://doi.org/10.1016/j.rinam.2023.100357

Arbitrary High-Order Unconditionally Stable Methods for Reaction-Diffusion Equations with inhomogeneous Boundary Condition via Deferred Correction

Saint-Cyr Elvi Rodrigue Koyaguerebo-Imé and Yves Bourgault
Computational Methods in Applied Mathematics 23 (1) 219 (2023)
https://doi.org/10.1515/cmam-2021-0167

An analogue to the A$(\vartheta)$-stability concept for implicit-explicit BDF methods

Georgios Akrivis and Emmanouil Katsoprinakis
SIAM Journal on Numerical Analysis 58 (6) 3475 (2020)
https://doi.org/10.1137/19M1275103

Numerical analysis of quasilinear parabolic equations under low regularity assumptions

Eduardo Casas and Konstantinos Chrysafinos
Numerische Mathematik 143 (4) 749 (2019)
https://doi.org/10.1007/s00211-019-01071-5

Stability of implicit and implicit–explicit multistep methods for nonlinear parabolic equations

Georgios Akrivis
IMA Journal of Numerical Analysis 38 (4) 1768 (2018)
https://doi.org/10.1093/imanum/drx057

Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type

Balázs Kovács and Christian Lubich
Numerische Mathematik 138 (2) 365 (2018)
https://doi.org/10.1007/s00211-017-0909-3

Electromagnetic‐Thermal Modeling of Induction Heating of Moving Wire

Ishant Jain
Heat Transfer—Asian Research 46 (2) 111 (2017)
https://doi.org/10.1002/htj.21201

A Stabilized Crank–Nicolson Mixed Finite Volume Element Formulation for the Non-stationary Incompressible Boussinesq Equations

Zhen Dong Luo
Journal of Scientific Computing 66 (2) 555 (2016)
https://doi.org/10.1007/s10915-015-0034-3

Interplay between continuous dislocations and disclinations in elasto-plasticity

Sanda Cleja-Ţigoiu, Raisa Paşcan and Victor Ţigoiu
International Journal of Plasticity 79 68 (2016)
https://doi.org/10.1016/j.ijplas.2015.12.002

Proper orthogonal decomposition-based reduced-order stabilized mixed finite volume element extrapolating model for the nonstationary incompressible Boussinesq equations

Zhendong Luo
Journal of Mathematical Analysis and Applications 425 (1) 259 (2015)
https://doi.org/10.1016/j.jmaa.2014.12.011

An Analysis of the Blended Three-Step Backward Differentiation Formula Time-Stepping Scheme for the Navier-Stokes-Type System Related to Soret Convection

S. S. Ravindran
Numerical Functional Analysis and Optimization 36 (5) 658 (2015)
https://doi.org/10.1080/01630563.2015.1013555

Stability of Implicit-Explicit Backward Difference Formulas For Nonlinear Parabolic Equations

Georgios Akrivis
SIAM Journal on Numerical Analysis 53 (1) 464 (2015)
https://doi.org/10.1137/140962619

A reduced-order extrapolation algorithm based on SFVE method and POD technique for non-stationary Stokes equations

Zhendong Luo
Applied Mathematics and Computation 247 976 (2014)
https://doi.org/10.1016/j.amc.2014.09.057

A fully discrete stabilized mixed finite volume element formulation for the non-stationary conduction–convection problem

Zhendong Luo, Hong Li and Ping Sun
Journal of Mathematical Analysis and Applications 404 (1) 71 (2013)
https://doi.org/10.1016/j.jmaa.2013.03.001

A reduced finite element formulation based on POD method for two-dimensional solute transport problems

Zhendong Luo, Hong Li, Yanjie Zhou and Zhenghui Xie
Journal of Mathematical Analysis and Applications 385 (1) 371 (2012)
https://doi.org/10.1016/j.jmaa.2011.06.051

A finite volume element formulation and error analysis for the non-stationary conduction–convection problem

Hong Li, Zhendong Luo, Ping Sun and Jing An
Journal of Mathematical Analysis and Applications 396 (2) 864 (2012)
https://doi.org/10.1016/j.jmaa.2012.07.046

Numerical simulation based on POD for two-dimensional solute transport problems

Huanrong Li, Zhendong Luo and Jing Chen
Applied Mathematical Modelling 35 (5) 2489 (2011)
https://doi.org/10.1016/j.apm.2010.11.064

A reduced finite volume element formulation and numerical simulations based on POD for parabolic problems

Zhendong Luo, Zhenghui Xie, Yueqiang Shang and Jing Chen
Journal of Computational and Applied Mathematics 235 (8) 2098 (2011)
https://doi.org/10.1016/j.cam.2010.10.008

Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator

Etienne Emmrich
BIT Numerical Mathematics 49 (2) 297 (2009)
https://doi.org/10.1007/s10543-009-0221-4

Stability and error of the variable two-step BDF for semilinear parabolic problems

Etienne Emmrich
Journal of Applied Mathematics and Computing 19 (1-2) 33 (2005)
https://doi.org/10.1007/BF02935787

A numerical model for induction heating processes coupling electromagnetism and thermomechanics

F. Bay, V. Labbe, Y. Favennec and J. L. Chenot
International Journal for Numerical Methods in Engineering 58 (6) 839 (2003)
https://doi.org/10.1002/nme.796

Implicit-explicit multistep finite element methods for nonlinear parabolic problems

Georgios Akrivis, Michel Crouzeix and Charalambos Makridakis
Mathematics of Computation 67 (222) 457 (1998)
https://doi.org/10.1090/S0025-5718-98-00930-2

Experimental study and numerical simulation of the injection stretch/blow molding process

F. M. Schmidt, J. F. Agassant and M. Bellet
Polymer Engineering & Science 38 (9) 1399 (1998)
https://doi.org/10.1002/pen.10310

Thermomechanics of the cooling stage in casting processes: Three-dimensional finite element analysis and experimental validation

M. Bellet, F. Decultieux, M. Ménaï, et al.
Metallurgical and Materials Transactions B 27 (1) 81 (1996)
https://doi.org/10.1007/BF02915080

On a higher order accurate fully discrete Galerkin approximation to the Navier-Stokes equations

Garth A. Baker, Vassilios A. Dougalis and Ohannes A. Karakashian
Mathematics of Computation 39 (160) 339 (1982)
https://doi.org/10.1090/S0025-5718-1982-0669634-0

Finite Element Approximation of the Navier-Stokes Equations

Lecture Notes in Mathematics, Finite Element Approximation of the Navier-Stokes Equations 749 148 (1981)
https://doi.org/10.1007/BFb0063452

On multistep-Galerkin discretizations of semilinear hyperbolic and parabolic equations

Garth A. Baker, Vassilios A. Dougalis and Ohannes Karakashian
Nonlinear Analysis: Theory, Methods & Applications 4 (3) 579 (1980)
https://doi.org/10.1016/0362-546X(80)90094-2

Semi-discrétisation en temps pour les équations d'évolution paraboliques lorsque l'opérateur dépend du temps

Marie-Noëlle Le Roux
RAIRO. Analyse numérique 13 (2) 119 (1979)
https://doi.org/10.1051/m2an/1979130201191

A-priori error estimates of Galerkin backward differentiation methods in time-inhomogeneous parabolic problems

E. Gekeler
Numerische Mathematik 30 (4) 369 (1978)
https://doi.org/10.1007/BF01398506