Optimal $$L^\infty (L^2)$$ L ∞ ( L 2 ) error analysis of a direct discontinuous Galerkin method for a time-fractional reaction-diffusion problem

The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems

Bernardo Cockburn, Chi‐Wang Shu · SIAM Journal on Numerical Analysis · 1998 · 2.4K citations · Full text

Computing, Computational Engineering, Computational Fluid Dynamics +14

A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier–Stokes Equations

F. Bassi, S Rebay · Journal of Computational Physics · 1997 · 1.8K citations

Natural Sciences, Mathematics, Physics +14

ON FRACTIONAL INTEGRALS AND DERIVATIVES

H. Kober · The Quarterly Journal of Mathematics · 1940 · 1.2K citations

Natural Sciences, Mathematics, Physics +11

Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

Kenichi Sakamoto, Masahiro Yamamoto · Journal of Mathematical Analysis and Applications · 2011 · 1.2K citations

Natural Sciences, Mathematics, Physics +16

Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

Martin Stynes, Eugene O’Riordan, J.L. Gracia · SIAM Journal on Numerical Analysis · 2017 · 939 citations · Full text

Computing, Computational Engineering, Computational Mechanics +16