A comparison of high-order explicit Runge–Kutta, extrapolation, and deferred correction methods in serial and parallel

Shock dynamics in layered periodic media

(2013) David I. Ketcheson et al.   Communications in Mathematical Sciences

High-Order Wave Propagation Algorithms for Hyperbolic Systems

(2013) David I. Ketcheson et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Toward an efficient parallel in time method for partial differential equations

(2012) Matthew Emmett et al.   Communications in Applied Mathematics and Computational Science

A hybrid parareal spectral deferred corrections method

(2011) Michael Minion   Communications in Applied Mathematics and Computational Science

Parallel High-Order Integrators

(2010) Andrew J. Christlieb et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

High Order Strong Stability Preserving Time Discretizations

(2008) Sigal Gottlieb et al.   JOURNAL OF SCIENTIFIC COMPUTING