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Tuning symplectic integrators is easy and worthwhile

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arxiv 2104.10269 v1 pith:3AD23KOA submitted 2021-04-20 physics.comp-ph cs.NAmath.NA

Tuning symplectic integrators is easy and worthwhile

classification physics.comp-ph cs.NAmath.NA
keywords integratorsalgorithmsapplicationsbenefitbestchoosingcompositioncomputational
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Many applications in computational physics that use numerical integrators based on splitting and composition can benefit from the development of optimized algorithms and from choosing the best ordering of terms. The cost in programming and execution time is minimal, while the performance improvements can be large.

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Cited by 1 Pith paper

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  1. A Comparison of Active Flux Methods for the Vlasov-Poisson System

    math.NA 2026-07 conditional novelty 4.0

    On two plasma benchmarks, the unsplit Active Flux method is slightly more accurate and cheaper at coarse resolution in 2D, while the split-step method is slightly more accurate at fine resolution and more extensible.