On the blow-up time convergence of semidiscretizations of reaction-diffusion equations

The Role of Critical Exponents in Blowup Theorems

Howard A. Levine · SIAM Review · 1990 · 802 citations

Initial Value Problem, Elliptic Equation, Critical Phenomenon +8

Blow-up of positive solutions of semilinear heat equations

Avner Friedman · Indiana University Mathematics Journal · 1985 · 544 citations

Elliptic Equation, Frontiere C 2, Et Initiales +5

Moving Mesh Methods for Problems with Blow-Up

Chris Budd, Weizhang Huang, Robert D. Russell · SIAM Journal on Scientific Computing · 1996 · 187 citations · Full text

Numerical Analysis, Engineering, Fluid Mechanics +19

A rescaling algorithm for the numerical calculation of blowing‐up solutions

Marsha Berger, Robert V. Kohn · Communications on Pure and Applied Mathematics · 1988 · 166 citations

Numerical Analysis, Numerical Computation, Engineering +4

Blowing up of a finite difference solution tou t = uxx + u2

Tomoyasu Nakagawa · Applied Mathematics & Optimization · 1975 · 79 citations

Numerical Analysis, Hyperbolic Conservation Law, Parabolic Equation +2