For linear-rate master equations the generating function admits an exact composition-multiplier representation whose Taylor coefficients on any finite window are obtained from a closed lower-triangular ODE of size 2(N+1), independent of the truncation cap N; the same closure is combined with Strang–
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4 Pith papers cite this work. Polarity classification is still indexing.
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2026 4verdicts
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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).
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.
Simulations demonstrate non-monotonic guide-field regulation of reconnection efficiency via balance between drift-kink suppression and tearing-mode hindrance in 3D relativistic current sheets.
citing papers explorer
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Solving linear-rate ODE hierarchies (like master equations) using closures and operator splitting
For linear-rate master equations the generating function admits an exact composition-multiplier representation whose Taylor coefficients on any finite window are obtained from a closed lower-triangular ODE of size 2(N+1), independent of the truncation cap N; the same closure is combined with Strang–
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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.