A two-dimensional adaptive pseudo-spectral method

DOI10.1016/0021-9991(90)90010-XzbMath0717.65074OpenAlexW1991506826MaRDI QIDQ2638742

Bernard J. Matkowsky, Alvin Bayliss, Rachel Kuske

Publication date: 1990

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(90)90010-x

zbMATH Keywords

reaction-diffusion equationsmoving meshcoordinate transformationscombustion of solid fueltwo-dimensional adaptive pseudo-spectral method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Combustion (80A25) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (11)

Structure and dynamics of modulated traveling waves in cellular flames ⋮ Spectral implementation of an adaptive moving mesh method for phase-field equations ⋮ Mapped Chebyshev pseudospectral method for the study of multiple scale phenomena ⋮ Coupled nonlocal complex Ginzburg-Landau equations in gasless combustion ⋮ A dynamical pseudo-spectral domain decomposition technique: Application to viscous compressible flows ⋮ Mappings and accuracy for Chebyshev pseudo-spectral approximations ⋮ Interaction of counterpropagation hot spots in solid fuel combustion ⋮ An analytic approximation to the cardinal functions of Gaussian radial basis functions on an infinite lattice ⋮ Structure and dynamics of kink and cellular flames stabilized on a rotating burner ⋮ Applications of semi-implicit Fourier-spectral method to phase field equations ⋮ Dynamics of hot spots in solid fuel combustion

Cites Work

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• An adaptive pseudo-spectral method for reaction diffusion problems
• Preconditioned minimal residual methods for Chebyshev spectral calculations
• Fronts, relaxation oscillations, and period doubling in solid fuel combustion
• Two Routes to Chaos in Condensed Phase Combustion
• Nonlinear analysis of condensed-phase surface combustion
• New Modes of Quasi-Periodic Combustion Near a Degenerate Hopf Bifurcation Point
• Period Doubling Gained, Period Doubling Lost
• On Spinning Propagation of Combustion Waves
• Cascading Cellular Flames
• An Asymptotic Theory of Condensed Two-Phase Flame Propagation
• Spectral Calculations of One-Dimensional Inviscid Compressible Flows

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