Extended Lagrangian approach for the numerical study of multidimensional dispersive waves: Applications to the Serre-Green-Naghdi equations

Linear and Nonlinear Waves

K. J. Whiteman · Physics Bulletin · 1975 · 7.1K citations

Natural Sciences, Mathematics, Physics +12

Restoration of the contact surface in the HLL-Riemann solver

Eleuterio F. Toro, M. Spruce, W. Speares · Shock Waves · 1994 · 2.4K citations

Engineering, Computational Engineering, Mathematics +10

Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations

Uri M. Ascher, Steven J. Ruuth, Raymond J. Spiteri · Applied Numerical Mathematics · 1997 · 1.3K citations

Natural Sciences, Computational Engineering, Mathematics +14

Implicit-Explicit Methods for Time-Dependent Partial Differential Equations

Uri M. Ascher, Steven J. Ruuth, Brian Wetton · SIAM Journal on Numerical Analysis · 1995 · 1K citations

Computing, Computational Engineering, Physics +17

Multidimensional upwind methods for hyperbolic conservation laws

Phillip Colella · Journal of Computational Physics · 1990 · 837 citations · Full text

Natural Sciences, Physics, Computational Fluid Dynamics +13