High-order entropy stable discontinuous Galerkin methods for the shallow water equations: Curved triangular meshes and GPU acceleration

Balancing Source Terms and Flux Gradients in High-Resolution Godunov Methods: The Quasi-Steady Wave-Propagation Algorithm

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Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems

Eitan Tadmor · Acta Numerica · 2003 · 507 citations

Natural Sciences, Mathematics, Physics +17

Fourth-order 2N-storage Runge-Kutta schemes

Mark H. Carpenter, Christopher Kennedy · NASA Technical Reports Server (NASA) · 1994 · 446 citations

Natural Sciences, Computational Engineering, Computational Mechanics +12

The numerical viscosity of entropy stable schemes for systems of conservation laws. I

Eitan Tadmor · Mathematics of Computation · 1987 · 420 citations · Full text

Engineering, Computational Engineering, Mathematics +16

Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations

David C. Del Rey Fernández, Jason E. Hicken, David W. Zingg · Computers & Fluids · 2014 · 372 citations

Natural Sciences, Mathematics, Physics +17