Round - Off Schemes �

Round-off error propagation in four generally-applicable, recursive, least-squares estimation schemes

Energy-preserving numerical schemes of high accuracy for one-dimensional Hamiltonian systems

We present a class of non-standard numerical schemes which are modifications of the discrete gradient method. They preserve the energy integral exactly (up to the round-off error). The considered class contains locally exact discrete gradient schemes and integrators of arbitrary high order. In numerical experiments we compare our integrators with some other numerical schemes, including the stan...

Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation

Abstract. We construct, analyze and numerically validate a class of conservative, discontinuous Galerkin schemes for the Generalized Korteweg-de Vries equation. Up to round-off error, these schemes preserve discrete versions of the first two invariants (the integral of the solution, usually identified with the mass, and the L–norm) of the continuous solution. Numerical evidence is provided indi...

Increasing the accuracy in locally divergence-preserving finite volume schemes for MHD

It is of utmost interest to control the divergence of the magnetic flux in simulations of the ideal magnetohydrodynamic equations since, in general, divergence errors tend to accumulate and render the schemes unstable. This paper presents a higher-order extension of the locally divergence-preserving procedure developed in Torrilhon [M. Torrilhon, Locally divergence-preserving upwind finite volu...

Comparative Research on Optimal Damping Matching of Seat System for an off-Highway Dump Truck

To protect the driver of off-highway dump trucks from the harmful vibration, this paper presents the comparison results to determine the optimal damping of the seat system by different optimization design plans. Three optimization schemes are considered including individually optimizing the damping of the cushion, individually optimizing the damping of the seat suspension, and integrately optim...