Stabilized Methods for Compressible Flows Page 1 J Sci Comput (2010) 43: 343–368 DOI
10.1007/s10915-008-9233-5 Stabilized Methods for Compressible Flows Thomas JR Hughes …

We propose and analyze a semi-discrete and a fully discrete mixed finite element method for
the Cahn-Hilliard equation ut+ Δ (ɛ Δ u− ɛ− 1 f (u))= 0, where ɛ> 0 is a small parameter …

We propose a new procedure for designing by rote finite difference schemes that inherit
energy conservation or dissipation property from nonlinear partial differential equations …

We consider a finite element method for the nonhomogeneous second-order wave equation,
which is formulated in terms of continuous approximation functions in both space and time …

The numerical approximation of dissipative initial value problems by fixed time-step**
Runge–Kutta methods is considered and the asymptotic features of the numerical and exact …

In the past numerical stability theory for initial value problems in ordinary differential
equations has been dominated by the study of problems with simple dynamics; this has …

A new SUPG-stabilized formulation for Lagrangian hydrodynamics of materials satisfying
Mie–Grüneisen equation of state is proposed. It allows the use of simplex-type …

Fully discrete discontinuous Galerkin methods with variable mesh-es in time are developed
for the fourth order Cahn-Hilliard equation arising from phase transition in materials science …

Two fully discrete, discontinuous Galerkin schemes with time-dynamic, locally refined
meshes in space are developed for a fourth-order Cahn–Hilliard equation with an added …

Global error control for the continuous Galerkin finite element method for ordinary
differential equations Page 1 RAIRO MODÉLISATION MATHÉMATIQUE ET ANALYSE …