On the numerical computation of blowing-up solutions for semilinear parabolic equations

DOI10.1002/mma.234zbMath0983.35009OpenAlexW2018284804MaRDI QIDQ2747413

Dolly Khuwayri Fayyad, Nabil R. Nassif

Publication date: 9 April 2002

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.234

zbMATH Keywords

error estimates

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Extrapolation to the limit, deferred corrections (65B05) Theoretical approximation in context of PDEs (35A35)

Cites Work

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• Mathematical problems from combustion theory
• A rescaling algorithm for the numerical calculation of blowing-up solutions
• Estimates of intermittency, spectra, and blow-up in developed turbulence
• A Mathematical Analysis of Blowup for Thermal Reactions—the Spatially Nonhomogeneous Case
• Reactive-Diffusive System with Arrhenius Kinetics: Dynamics of Ignition
• APPROXIMATION OF BLOWING UP SOLUTIONS TO SEMILINEAR PARABOLIC EQUATIONS USING "MASS CONTROLLED" PARABOLIC SYSTEMS