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:

This article has been cited by the following article(s):

Convergence analysis of one-step schemes in the method of lines

J.M. Sanz-Serna and J.G. Verwer
Applied Mathematics and Computation 31 183 (1989)
DOI: 10.1016/0096-3003(89)90118-5
See this article

Convergence of Runge–Kutta methods applied to linear partial differential-algebraic equations

K. Debrabant and K. Strehmel
Applied Numerical Mathematics 53 (2-4) 213 (2005)
DOI: 10.1016/j.apnum.2004.08.023
See this article

A Scheme for Parallelizing Certain Algorithms for the Linear Inhomogeneous Heat Equation

Steven M. Serbin
SIAM Journal on Scientific and Statistical Computing 13 (2) 449 (1992)
DOI: 10.1137/0913024
See this article

Optimal orders of convergence for Runge–Kutta methods and linear, initial boundary value problems

I. Alonso-Mallo and C. Palencia
Applied Numerical Mathematics 44 (1-2) 1 (2003)
DOI: 10.1016/S0168-9274(02)00110-1
See this article

A-stable Runge–Kutta methods for semilinear evolution equations

Marcel Oliver and Claudia Wulff
Journal of Functional Analysis 263 (7) 1981 (2012)
DOI: 10.1016/j.jfa.2012.06.022
See this article

Accuracy and stability of splitting with Stabilizing Corrections

Willem Hundsdorfer
Applied Numerical Mathematics 42 (1-3) 213 (2002)
DOI: 10.1016/S0168-9274(01)00152-0
See this article

From finite differences to finite elements

Vidar Thomée
Journal of Computational and Applied Mathematics 128 (1-2) 1 (2001)
DOI: 10.1016/S0377-0427(00)00507-0
See this article

The Correct Formulation of Intermediate Boundary Conditions for Runge--Kutta Time Integration of Initial Boundary Value Problems

D. Pathria
SIAM Journal on Scientific Computing 18 (5) 1255 (1997)
DOI: 10.1137/S1064827594273948
See this article

Error analysis of multipoint flux domain decomposition methods for evolutionary diffusion problems

A. Arrarás, L. Portero and I. Yotov
Journal of Computational Physics 257 1321 (2014)
DOI: 10.1016/
See this article

Well-posed solvability of the Cauchy problem for difference equations of parabolic type

Allaberen Ashyralyev and Pavel Evseyevich Sobolevskii
Nonlinear Analysis: Theory, Methods & Applications 24 (2) 257 (1995)
DOI: 10.1016/0362-546X(94)E0004-Z
See this article

First-Order Partial Differential Equation with a Nonlocal Boundary Condition

Abdullah S. Erdogan and Sueda N. Tekalan
Numerical Functional Analysis and Optimization 1 (2017)
DOI: 10.1080/01630563.2017.1317002
See this article

Stability and convergence at the PDE/stiff ode interface

J.M. Sanz-Serna and J.G. Verwer
Applied Numerical Mathematics 5 (1-2) 117 (1989)
DOI: 10.1016/0168-9274(89)90028-7
See this article

Linear Discrete Parabolic Problems

North-Holland Mathematics Studies, Linear Discrete Parabolic Problems 203 269 (2006)
DOI: 10.1016/S0304-0208(06)80053-8
See this article

Partial Differential Equations

Vidar Thomée
Partial Differential Equations 1 (2001)
DOI: 10.1016/B978-0-444-50616-0.50004-X
See this article

Rational methods with optimal order of convergence for partial differential equations

Isaías Alonso-Mallo
Applied Numerical Mathematics 35 (4) 265 (2000)
DOI: 10.1016/S0168-9274(99)00144-0
See this article

Smoothing with positivity-preserving Padé schemes for parabolic problems with nonsmooth data

B. A. Wade, A. Q. M. Khaliq, M. Siddique and M. Yousuf
Numerical Methods for Partial Differential Equations 21 (3) 553 (2005)
DOI: 10.1002/num.20039
See this article