High-Order Multiderivative Time Integrators for Hyperbolic Conservation Laws

Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms

(2012) G. Montecinos et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov–Poisson equations

(2011) James A. Rossmanith et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Efficient low-storage Runge–Kutta schemes with optimized stability regions

(2011) Jens Niegemann et al.   JOURNAL OF COMPUTATIONAL PHYSICS

High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws

(2010) Marcos Castro et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Simulations of Shallow Water Equations with Finite Difference Lax-Wendroff Weighted Essentially Non-oscillatory Schemes

(2010) Changna Lu et al.   JOURNAL OF SCIENTIFIC COMPUTING

High order conservative Lagrangian schemes with Lax–Wendroff type time discretization for the compressible Euler equations

(2009) Wei Liu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Runge–Kutta methods with minimum storage implementations

(2009) David I. Ketcheson   JOURNAL OF COMPUTATIONAL PHYSICS

On explicit two-derivative Runge-Kutta methods

(2009) Robert P. K. Chan et al.   NUMERICAL ALGORITHMS

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

(2009) Chi-Wang Shu   SIAM REVIEW

Nine-stage multi-derivative Runge-Kutta method of order 12

(2009) Truong Nguyen-Ba et al.   Publications de l'Institut Mathématique

An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws

(2008) Rafael Borges et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes

(2008) Michael Dumbser et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Highly Efficient Strong Stability-Preserving Runge–Kutta Methods with Low-Storage Implementations

(2008) David I. Ketcheson   SIAM JOURNAL ON SCIENTIFIC COMPUTING