[PDF][PDF] Asymptotic preserving (AP) schemes for multiscale kinetic and hyperbolic equations: a review
Kinetic and hyperbolic equations contain small scales (mean free path/time, Debye length,
relaxation or reaction time, etc.) that lead to various different asymptotic regimes, in which …
relaxation or reaction time, etc.) that lead to various different asymptotic regimes, in which …
[ספר][B] Riemann solvers and numerical methods for fluid dynamics: a practical introduction
EF Toro - 2013 - books.google.com
In 1917, the British scientist LF Richardson made the first reported attempt to predict the
weather by solving partial differential equations numerically, by hand! It is generally …
weather by solving partial differential equations numerically, by hand! It is generally …
A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows
We consider the Saint-Venant system for shallow water flows, with nonflat bottom. It is a
hyperbolic system of conservation laws that approximately describes various geophysical …
hyperbolic system of conservation laws that approximately describes various geophysical …
[ספר][B] Nonlinear stability of finite Volume Methods for hyperbolic conservation laws: And Well-Balanced schemes for sources
F Bouchut - 2004 - books.google.com
This book is devoted to finite volume methods for hyperbolic systems of conservation laws. It
differs from previous expositions on the subject in that the accent is put on the development …
differs from previous expositions on the subject in that the accent is put on the development …
Tsunami modelling with adaptively refined finite volume methods
Numerical modelling of transoceanic tsunami propagation, together with the detailed
modelling of inundation of small-scale coastal regions, poses a number of algorithmic …
modelling of inundation of small-scale coastal regions, poses a number of algorithmic …
Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
The goal of this paper is to provide a theoretical framework allowing one to extend some
general concepts related to the numerical approximation of 1-d conservation laws to the …
general concepts related to the numerical approximation of 1-d conservation laws to the …
A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems
In this paper a new, simple and universal formulation of the HLLEM Riemann solver (RS) is
proposed that works for general conservative and non-conservative systems of hyperbolic …
proposed that works for general conservative and non-conservative systems of hyperbolic …
Well-balanced high-order finite volume methods for systems of balance laws
In some previous works, the authors have introduced a strategy to develop well-balanced
high-order numerical methods for nonconservative hyperbolic systems in the framework of …
high-order numerical methods for nonconservative hyperbolic systems in the framework of …
Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws
In this article, we propose a new class of finite volume schemes of arbitrary accuracy in
space and time for systems of hyperbolic balance laws with stiff source terms. The new class …
space and time for systems of hyperbolic balance laws with stiff source terms. The new class …
Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
Many geophysical flows are merely perturbations of some fundamental equilibrium state. If a
numerical scheme shall capture such flows efficiently, it should be able to preserve the …
numerical scheme shall capture such flows efficiently, it should be able to preserve the …