Proves that the p-th order EERK method for semilinear parabolic problems with initial regularity γ achieves convergence rate min(1 + γ/2 + ρ1(γ)/2, p).
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math.NA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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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Higher-order exponential Runge-Kutta Galerkin finite element method for semilinear parabolic problems with nonsmooth data
Proves that the p-th order EERK method for semilinear parabolic problems with initial regularity γ achieves convergence rate min(1 + γ/2 + ρ1(γ)/2, p).
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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.