منابع مشابه
On Exactly Conservative Integrators
Traditional explicit numerical discretizations of conservative systems generically predict arti cial secular drifts of nonlinear invariants. These algorithms are based on polynomial functions of the time step. We discuss a general approach for developing explicit algorithms that conserve such invariants exactly. We illustrate the method by applying it to the truncated two-dimensional Euler equa...
متن کاملExactly Conservative Integrators
Traditional explicit numerical discretizations of conservative systems generically predict artificial secular drifts of any nonlinear invariants. In this work we present a general approach for developing explicit nontraditional algorithms that conserve such invariants exactly. We illustrate the method by applying it to the three-wave truncation of the Euler equations, the Lotka–Volterra predato...
متن کاملVariational integrators and the Newmark algorithm for conservative and dissipative mechanical systems
The purpose of this work is twofold. First, we demonstrate analytically that the classical Newmark family as well as related integration algorithms are variational in the sense of the Veselov formulation of discrete mechanics. Such variational algorithms are well known to be symplectic and momentum preserving and to often have excellent global energy behaviour. This analytical result is veri ed...
متن کاملAn Exactly Conservative Particle Method for One Dimensional Scalar Conservation Laws Yossi Farjoun and Benjamin Seibold
A particle scheme for scalar conservation laws in one space dimension is presented. Particles representing the solution are moved according to their characteristic velocities. Particle interaction is resolved locally. Shocks stay sharp and propagate at correct speeds, while rarefaction waves are created where appropriate. The method is variation diminishing, entropy decreasing, exactly conserva...
متن کاملAn exactly conservative particle method for one dimensional scalar conservation laws
A particle scheme for scalar conservation laws in one space dimension is presented. Particles representing the solution are moved according to their characteristic velocities. Particle interaction is resolved locally. Shocks stay sharp and propagate at correct speeds, while rarefaction waves are created where appropriate. The method is variation diminishing, entropy decreasing, exactly conserva...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 1998
ISSN: 0036-1399,1095-712X
DOI: 10.1137/s0036139995289313