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–
Applied and Computational Harmonic Analysis , series =
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A continued-fraction-based multi-point Padé method converts the Laplace transform of a target function into coefficients and poles that yield an exponential-sum approximation on R+.
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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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Approximating functions on ${\mathbb R}^+$ by exponential sums
A continued-fraction-based multi-point Padé method converts the Laplace transform of a target function into coefficients and poles that yield an exponential-sum approximation on R+.