๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Numerical procedures based on Runge-Kutta methods for solving isospectral flows

โœ Scribed by L. Lopez; T. Politi


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
733 KB
Volume
25
Category
Article
ISSN
0168-9274

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Runge-Kutta methods for orthogonal and i
โœ M.P. Calvo; A. Iserles; A. Zanna ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 541 KB

Orthogonal and isospectral flows occur in many applications and they possess important invariants. However, a naive application of Runge-Kutta methods is bound to render these invariants incorrectly. In this paper we describe how to retain relevant invariants with Runge-Kutta methods or, alternative

One step semi-explicit methods based on
โœ F. Diele; L. Lopez; T. Politi ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 255 KB

This note deals with the numerical solution of the matrix differential system where Y0 is a real constant symmetric matrix, B maps symmetric into skew-symmetric matrices, and [B(t, Y), Y] is the Lie bracket commutator of B(t, Y) and Y, i.e. [B(t, Y), Y] = B(t, Y)Y -YB(t, Y). The unique solution of

Runge-Kutta(-Nystrรถm) methods for ODEs w
โœ B. Paternoster ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 791 KB

We consider the construction of Runge-Kutta(-Nystrรถm) methods for ordinary differential equations whose solutions are known to be periodic. We assume that the frequency w tan be estimated in advance. The resulting methods depend on the Parameter v = wh, where h is the stepsize. Using the linear Stag

Numerical methods for low-order modeling
โœ J. Weller; E. Lombardi; M. Bergmann; A. Iollo ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 448 KB ๐Ÿ‘ 2 views

## Abstract This paper explores some numerical alternatives that can be exploited to derive efficient lowโ€order models of the Navierโ€“Stokes equations. It is shown that an optimal solution sampling can be derived using appropriate norms of the Navierโ€“Stokes residuals. Then the classical Galerkin app