A note on high-precision approximation of asymptotically decaying solution and orthogonal decomposition

DOI10.1007/s10915-017-0619-0zbMath1415.65155OpenAlexW2772479488MaRDI QIDQ1668718

John Nicponski, Jae-Hun Jung

Publication date: 29 August 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-017-0619-0

zbMATH Keywords

roundoff errorsorthogonal decompositionhigh-precision arithmeticLax equivalence theorem

Mathematics Subject Classification ID

Black holes (83C57) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (1)

Instability of the Betti Sequence for Persistent Homology and a Stabilized Version of the Betti Sequence

Uses Software

• CUDA
• mctoolbox

Cites Work

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• High accuracy simulations of Kerr tails: coordinate dependence and higher multipoles
• Late-time tails in the Kerr spacetime
• A time-domain fourth-order-convergent numerical algorithm to integrate black hole perturbations in the extreme-mass-ratio limit

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