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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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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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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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.