Numerical analysis of an exponentially ill-conditioned boundary value problem with applications to metastable problems

DOI10.1093/IMANUM/21.4.817zbMath1031.65117OpenAlexW2142492285MaRDI QIDQ2763937

Publication date: 23 November 2003

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/21.4.817

zbMATH Keywords

algorithms stability convergence singular perturbation Fokker-Planck equation metastability phase separation ill-conditioned problem upwind scheme Il'in scheme coupled schemes boundary layer resonance problem exponentially ill-conditioned boundary value problem metastable problems viscous shock problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Ill-posed problems for PDEs (35R25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

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