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Explicit Variable Step-Size and Time-Reversible Integration

Please always quote using this URN: urn:nbn:de:0297-zib-3607
  • A variable step-size, semi-explicit variant of the explicit Störmer-Verlet method has been proposed for the time-reversible integration of Newton's equations of motion by Huang & Leimkuhler. Here we propose a fully explicit version of this approach applicable to explicit and symmetric integration methods for general time-reversible differential equations. As applications, we discuss the variable step-size, time-reversible, and fully explicit integration of rigid body motion and reversible Nos\'e-Hoover dynamics.

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Metadaten
Author:Thomas Holder, Benedict Leimkuhler, Sebastian Reich
Document Type:ZIB-Report
Tag:adaptive methods; reversible differential equations; time integration
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Lxx Ordinary differential equations / 65L05 Initial value problems
CCS-Classification:G. Mathematics of Computing / G.1 NUMERICAL ANALYSIS / G.1.7 Ordinary Differential Equations
Date of first Publication:1998/07/03
Series (Serial Number):ZIB-Report (SC-98-17)
ZIB-Reportnumber:SC-98-17
Published in:Appeared in: APNUM 39 (2001) 367-377
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