Totally Discrete Explicit and Semi-implicit Euler Methods for a Blow-up Problem in Several Space Dimensions

Asymptotically self‐similar blow‐up of semilinear heat equations

Yoshikazu Giga, Robert V. Kohn · Communications on Pure and Applied Mathematics · 1985 · 612 citations

Natural Sciences, Physics, Dynamical Systems +10

Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle

Weizhang Huang, Yuhe Ren, Robert D. Russell · SIAM Journal on Numerical Analysis · 1994 · 360 citations · Full text

Natural Sciences, Computational Engineering, Mathematics +9

Characterizing Blow-up Using Similarity Variables

Yoshikazu Giga, Robert V. Kohn · University of Minnesota Digital Conservancy (University of Minnesota) · 1985 · 346 citations · Full text

Engineering, Aerospace Engineering, Aerodynamics +6

Blowup in diffusion equations: A survey

Catherine Bandle, Hermann Brunner · Journal of Computational and Applied Mathematics · 1998 · 263 citations

Engineering, Computational Engineering, Computational Fluid Dynamics +10

Moving Mesh Methods for Problems with Blow-Up

Chris Budd, Weizhang Huang, Robert D. Russell · SIAM Journal on Scientific Computing · 1996 · 188 citations · Full text

Natural Sciences, Mathematics, Physics +10