Exponential time differencing for stiff systems with nondiagonal linear part

DOI10.1134/S002189442007010XzbMath1459.65172OpenAlexW3135692705WikidataQ115526084 ScholiaQ115526084MaRDI QIDQ2022887

E. V. Permyakova, Denis S. Goldobin

Publication date: 30 April 2021

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s002189442007010x

zbMATH Keywords

stiff systemsCox-Matthews methodsnondiagonal equations

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Uses Software

• TARANG

Cites Work

• Unnamed Item
• Exponential time differencing for stiff systems
• Pattern selection in long-wavelength convection
• Handbook of stochastic methods for physics, chemistry and the natural sciences
• Hexagonal structure of large-scale Marangoni convection
• Direct numerical simulation of homogeneous isotropic helical turbulence with the TARANG code
• Mathematical study of two-variable systems with adaptive numerical methods
• Localization and advectional spreading of convective currents under parametric disorder
• Pattern formation with a conservation law
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems

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