4.7 Article

Bounds preserving temporal integration methods for hyperbolic conservation laws

Related references

Note: Only part of the references are listed.
Article Engineering, Multidisciplinary

Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems

Jean-Luc Guermond et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2019)

Article Mathematics, Applied

RELAXATION RUNGE-KUTTA METHODS: CONSERVATION AND STABILITY FOR INNER-PRODUCT NORMS

David I. Ketcheson

SIAM JOURNAL ON NUMERICAL ANALYSIS (2019)

Article Mathematics, Applied

INVARIANT DOMAINS AND FIRST-ORDER CONTINUOUS FINITE ELEMENT APPROXIMATION FOR HYPERBOLIC SYSTEMS

Jean-Luc Guermond et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2016)

Article Computer Science, Interdisciplinary Applications

Entropy viscosity method for nonlinear conservation laws

Jean-Luc Guermond et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2011)

Article Mathematics, Applied

On the preservation of invariants by explicit Runge-Kutta methods

M. Calvo et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2006)

Article Mathematics, Applied

Comparison of several difference schemes on 1D and 2D test problems for the Euler equations

R Liska et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2003)

Article Mathematics, Applied

Maps of convex sets and invariant regions for finite-difference systems of conservation laws

H Frid

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2001)

Article Mathematics, Applied

Preserving algebraic invariants with Runge-Kutta methods

A Iserles et al.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2000)