An adaptive \(N\)-body algorithm of optimal order.

DOI10.1016/S0021-9991(03)00101-3zbMath1047.70002OpenAlexW2049142126MaRDI QIDQ1873442

Joseph W. Rudmin, Justin M. Lacy, C. David Pruett

Publication date: 20 May 2003

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-9991(03)00101-3

zbMATH Keywords

Picard iteration\(N\)-body problemMaclaurin seriesPower seriesInitial-value problemsOptimal order

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) (n)-body problems (70F10)

Related Items (6)

\(N\)-body gravitational and contact dynamics for asteroid aggregation ⋮ Picard iteration algorithm combined with Gauss-Seidel technique for initial value problems ⋮ Collisional $N$-Body Numerical Integrator with Applications to Charged Particle Dynamics ⋮ Picard iteration-based variable-order integrator with dense output employing algorithmic differentiation ⋮ Explicit a-priori error bounds and adaptive error control for approximation of nonlinear initial value differential systems ⋮ Parallel implementation of an adaptive and parameter-free \(N\)-body integrator

Cites Work

• The development of a parallel \(N\)-body code for the Edinburgh Concurrent Supercomputer
• A modified parallel tree code for \(N\)-body simulation of the large-scale structure of the universe
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