On the Conservation of Fractional Nonlinear Schrödinger Equation’s Invariants by the Local Discontinuous Galerkin Method

Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

Douglas N. Arnold, Franco Brezzi, Bernardo Cockburn et al. · SIAM Journal on Numerical Analysis · 2002 · 3.2K citations

Computing, Computational Engineering, Computational Mechanics +11

Exact Theory of Two-dimensional Self-focusing and One-dimensional Self-modulation of Waves in Nonlinear Media

В. Е. Захаров, A. B. Shabat · Journal of Experimental and Theoretical Physics · 1970 · 2.7K citations

Natural Sciences, Physics, Optics +13

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

An Interior Penalty Finite Element Method with Discontinuous Elements

Douglas N. Arnold · SIAM Journal on Numerical Analysis · 1982 · 1.5K citations

Computing, Computational Engineering, Computational Mechanics +13

Fractional quantum mechanics

Nick Laskin · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2000 · 879 citations · Full text

Natural Sciences, Mathematics, Physics +17