A position-dependent 4-step splitting scheme for the wave equation with kinetic BCs is proven energy stable and second-order convergent under a weak CFL condition.
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A Strang splitting plus Fourier collocation scheme for the fifth-order KBF equation is shown to converge at second order in time and spectrally in space under suitable regularity assumptions.
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Second-order bulk-surface splitting for the wave equation with kinetic boundary conditions
A position-dependent 4-step splitting scheme for the wave equation with kinetic BCs is proven energy stable and second-order convergent under a weak CFL condition.
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Fully discrete scheme for the fifth-order KdV-Burgers-Fisher equation using Strang splitting and Fourier collocation methods
A Strang splitting plus Fourier collocation scheme for the fifth-order KBF equation is shown to converge at second order in time and spectrally in space under suitable regularity assumptions.