A High-Order Dirac-Delta Regularization with Optimal Scaling in the Spectral Solution of One-Dimensional Singular Hyperbolic Conservation Laws

Dispersion of a cloud of particles by a moving shock: Effects of the shape, angle of rotation, and aspect ratio

(2013) S. L. Davis et al.   Journal of Applied Mechanics and Technical Physics

Discontinuous Galerkin method for hyperbolic equations involving $$\delta $$ -singularities: negative-order norm error estimates and applications

(2013) Yang Yang et al.   NUMERISCHE MATHEMATIK

Assessing the Performance of a Three Dimensional Hybrid Central-WENO Finite Difference scheme with Computation of a Sonic Injector in Supersonic Cross Flow

(2012) Wai-Sun Don et al.   Advances in Applied Mathematics and Mechanics

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

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

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

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

A high-order WENO-Z finite difference based particle-source-in-cell method for computation of particle-laden flows with shocks

(2008) Gustaaf B. Jacobs et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Note on the Spectral Collocation Approximation of Some Differential Equations with Singular Source Terms

(2008) Jae-Hun Jung   JOURNAL OF SCIENTIFIC COMPUTING

Is Gauss Quadrature Better than Clenshaw–Curtis?

(2008) Lloyd N. Trefethen   SIAM REVIEW