Accession Number:

ADA300491

Title:

Time-Advance Algorithms Based on Hamilton's Principle.

Descriptive Note:

Final technical rept. 1 Aug 92-30 Sep 95,

Corporate Author:

DARTMOUTH COLL HANOVER NH DEPT OF PHYSICS AND ASTRONOMY

Report Date:

1995-09-30

Pagination or Media Count:

9.0

Abstract:

Hamiltons principle was applied to derive a class of numerical algorithms for systems of ordinary differential equations when the equations are derivable from a Lagrangian. This is an important extension into the time domain of an earlier use of Hamiltons principle to derive algorithms for the spatial operators in Maxwells equations. In that work, given a set of expansion functions for spatial dependences, the Vlasov-Maxwell equations were replaced by a system of ordinary differential equations in time but the question of solving the ordinary differential equations was not addressed. Advantageous properties of the new time-advance algorithms were identified analytically and by numerical comparison with other methods, such as Runge-Kutta and symplectic algorithms. This approach to time advance can be extended to include partial differential equations and the Vlasov-Maxwell equations. Application has been made to derive a second-order accurate algorithm for the linear wave equation the dispersive properties of the algorithm are superior to those of the usual second-order accurate explicit or implicit algorithms.

Subject Categories:

  • Numerical Mathematics
  • Plasma Physics and Magnetohydrodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE