Spectral Deferred Correction methods achieve at least order p after p iterations when viewed as Runge-Kutta methods, with order jumps of two possible for collocation methods using specific implicit error discretizations.
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A stable SBP-SAT scheme for anisotropic diffusion is extended to curvilinear coordinates and multi-block domains with a discrete energy stability proof.
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Spectral Deferred Corrections in the framework of Runge-Kutta methods
Spectral Deferred Correction methods achieve at least order p after p iterations when viewed as Runge-Kutta methods, with order jumps of two possible for collocation methods using specific implicit error discretizations.
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A provably stable numerical method for the anisotropic diffusion equation in confined magnetic fields: Curvilinear coordinates and multi-block domains
A stable SBP-SAT scheme for anisotropic diffusion is extended to curvilinear coordinates and multi-block domains with a discrete energy stability proof.