Generalized Halanay inequalities for dissipativity of Volterra functional differential equations

Runge–Kutta Methods for Dissipative and Gradient Dynamical Systems

A. R. Humphries, Andrew M. Stuart · SIAM Journal on Numerical Analysis · 1994 · 106 citations

Natural Sciences, Mathematics, Computational Mechanics +16

Dissipativity of Runge-Kutta methods for dynamical systems with delays

Chengming Huang · IMA Journal of Numerical Analysis · 2000 · 66 citations

Natural Sciences, Mathematics, Applied Mathematics +16

Global Dissipativity for A-Stable Methods

Adrian T. Hill · SIAM Journal on Numerical Analysis · 1997 · 50 citations

Natural Sciences, Physics, Dynamical Systems +16

Dissipativity of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>θ</mml:mi></mml:math>-methods for nonlinear Volterra delay-integro-differential equations

Siqing Gan · Journal of Computational and Applied Mathematics · 2006 · 50 citations

Natural Sciences, Mathematics, Physics +12

NUMERICAL AND ANALYTIC DISSIPATIVITY OF THE θ-METHOD FOR DELAY DIFFERENTIAL EQUATIONS WITH A BOUNDED VARIABLE LAG

Hongjiong Tian · International Journal of Bifurcation and Chaos · 2004 · 45 citations

Natural Sciences, Mathematics, Derivatives +11