Linear-rate ODE hierarchies can be solved in-window exactly—no boundary cap—by integrating a low-dimensional coefficient ODE and composing generating functions; Strang splitting extends the trick to partially linear-rate models like Schlögl and predator-prey.
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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Operator splitting for exploiting linear-rate closure in solving infinite ODE hierarchies
Linear-rate ODE hierarchies can be solved in-window exactly—no boundary cap—by integrating a low-dimensional coefficient ODE and composing generating functions; Strang splitting extends the trick to partially linear-rate models like Schlögl and predator-prey.
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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+.