A semi-adaptive compact splitting method for the numerical solution of 2-dimensional quenching problems

Discrete Variable Methods in Ordinary Differential Equations.

A. B. Farnell, Peter Henrici · American Mathematical Monthly · 1962 · 2.1K citations

Natural Sciences, Mathematics, Differential Equations +12

Adaptivity with moving grids

Chris Budd, Weizhang Huang, Robert D. Russell · Acta Numerica · 2009 · 275 citations

Computing, Computational Engineering, Physics +17

On Solutions of Initial-Boundary Problem for $u_t = u_{xx} + \frac{1}{1-u}$

Publications of the Research Institute for Mathematical Sciences · 1974 · 208 citations · Full text

Natural Sciences, Mathematics, Differential Equations +10

Quenching, nonquenching, and beyond quenching for solution of some parabolic equations

Howard A. Levine · Annali di Matematica Pura ed Applicata (1923 -) · 1989 · 150 citations · Full text

Natural Sciences, Mathematics, Physics +11

A numerical study of three moving-grid methods for one-dimensional partial differential equations which are based on the method of lines

R.M. Furzeland, J.G. Verwer, P.A. Zegeling · Journal of Computational Physics · 1990 · 112 citations

Natural Sciences, Computational Engineering, Physics +15