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):

Positivity of Runge-Kutta and diagonally split Runge-Kutta methods

Zoltán Horváth
Applied Numerical Mathematics 28 (2-4) 309 (1998)
DOI: 10.1016/S0168-9274(98)00050-6
See this article

A second-order, unconditionally positive, mass-conserving integration scheme for biochemical systems

Jorn Bruggeman, Hans Burchard, Bob W. Kooi and Ben Sommeijer
Applied Numerical Mathematics 57 (1) 36 (2007)
DOI: 10.1016/j.apnum.2005.12.001
See this article

On positivity, shape, and norm-bound preservation of time-stepping methods for semigroups

Mihály Kovács
Journal of Mathematical Analysis and Applications 304 (1) 115 (2005)
DOI: 10.1016/j.jmaa.2004.09.069
See this article

Convergence and nonnegativity of numerical methods for an integrodifferential equation describing batch grinding

G. Stoyan, C. Mihálykó and Z. Ulbert
Computers & Mathematics with Applications 35 (12) 69 (1998)
DOI: 10.1016/S0898-1221(98)00097-2
See this article

On the positivity of matrix-vector products

Zoltán Horváth
Linear Algebra and its Applications 393 253 (2004)
DOI: 10.1016/j.laa.2004.03.012
See this article

Positivity for Convective Semi-discretizations

Imre Fekete, David I. Ketcheson and Lajos Lóczi
Journal of Scientific Computing (2017)
DOI: 10.1007/s10915-017-0432-9
See this article

Rosenbrock-type methods with Inexact AMF for the time integration of advection–diffusion–reaction PDEs

S. González-Pinto, D. Hernández-Abreu and S. Pérez-Rodríguez
Journal of Computational and Applied Mathematics 262 304 (2014)
DOI: 10.1016/j.cam.2013.10.050
See this article

Positivity preserving discretization of time dependent semiconductor drift–diffusion equations

Markus Brunk and Anne Kværnø
Applied Numerical Mathematics 62 (10) 1289 (2012)
DOI: 10.1016/j.apnum.2012.06.016
See this article

Stepsize restrictions for stability in the numerical solution of ordinary and partial differential equations

J.F.B.M. Kraaijevanger, H.W.J. Lenferink and M.N. Spijker
Journal of Computational and Applied Mathematics 20 67 (1987)
DOI: 10.1016/0377-0427(87)90126-9
See this article

Consistency and stability for some nonnegativity-conserving methods

Zoltán Horváth
Applied Numerical Mathematics 13 (5) 371 (1993)
DOI: 10.1016/0168-9274(93)90095-9
See this article

BACKWARD EULER METHOD AS A POSITIVITY PRESERVING METHOD FOR ABSTRACT INTEGRAL EQUATIONS OF CONVOLUTION TYPE

E. Cuesta, M.P. Calvo and C. Palencia
IFAC Proceedings Volumes 39 (11) 517 (2006)
DOI: 10.3182/20060719-3-PT-4902.00086
See this article

A second-order positivity preserving scheme for semilinear parabolic problems

Eskil Hansen, Felix Kramer and Alexander Ostermann
Applied Numerical Mathematics 62 (10) 1428 (2012)
DOI: 10.1016/j.apnum.2012.06.003
See this article

Combination of nonstandard schemes and Richardson’s extrapolation to improve the numerical solution of population models

Gilberto González-Parra, Abraham J. Arenas and Benito M. Chen-Charpentier
Mathematical and Computer Modelling 52 (7-8) 1030 (2010)
DOI: 10.1016/j.mcm.2010.03.015
See this article

A discrete method for the identification of parameters of a deterministic epidemic model

Giovanni di Lena and Gabriella Serio
Mathematical Biosciences 60 (2) 161 (1982)
DOI: 10.1016/0025-5564(82)90127-4
See this article

On the positivity step size threshold of Runge–Kutta methods

Zoltán Horváth
Applied Numerical Mathematics 53 (2-4) 341 (2005)
DOI: 10.1016/j.apnum.2004.08.026
See this article

Implicit–explicit time stepping with spatial discontinuous finite elements

Willem Hundsdorfer and Jérôme Jaffré
Applied Numerical Mathematics 45 (2-3) 231 (2003)
DOI: 10.1016/S0168-9274(02)00192-7
See this article

The positivity of low-order explicit Runge-Kutta schemes applied in splitting methods

A Gerisch and R Weiner
Computers & Mathematics with Applications 45 (1-3) 53 (2003)
DOI: 10.1016/S0898-1221(03)80007-X
See this article

Stepsize Restrictions for Boundedness and Monotonicity of Multistep Methods

W. Hundsdorfer, A. Mozartova and M. N. Spijker
Journal of Scientific Computing 50 (2) 265 (2012)
DOI: 10.1007/s10915-011-9487-1
See this article

Rational functions with maximal radius of absolute monotonicity

Lajos Lóczi and David I. Ketcheson
LMS Journal of Computation and Mathematics 17 (01) 159 (2014)
DOI: 10.1112/S1461157013000326
See this article