Results 101 to 106 of about 1,267 (106)
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Legendre Pseudospectral Approximation of Boussinesq Systems and Applications to Wave Breaking
, 2016In this paper, we propose a spectral projection of a regularized Boussinesq system for wave propagation on the surface of a fluid. The spectral method is based on the use of Legendre polynomials, and is able to handle time-dependent Dirichlet boundary ...
Magnar Bjørkavûag +3 more
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Fast Solver for the Local Discontinuous Galerkin Discretization of the KdV Type Equations
, 2015In this paper, we will develop a fast iterative solver for the system of linear equations arising from the local discontinuous Galerkin (LDG) spatial discretization and additive Runge-Kutta (ARK) time marching method for the KdV type equations.
Ruihan Guo, Yan Xu
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Mini-Workshop: Reflectionless Operators: The Deift and Simon Conjectures
Oberwolfach Reports, 2018Reflectionless operators in one dimension are particularly amenable to inverse scattering and are intimately related to integrable systems like KdV and Toda.
David Damanik +2 more
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New Results for the BBM Equation
, 2016The BBM equation posed on R and R+ is revisited. Improving on earlier results, global well-posedness and bounds for the growth in time of relevant norms of solutions corresponding to very general auxiliary data are derived.
Hongqiu Chen
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A Second-Order Path-Conservative Method for the Compressible Non-Conservative Two-Phase Flow
, 2018A theoretical solution of the Riemann problem to the two-phase flow model in non-conservative form of Saurel and Abgrall is presented under the assumption that all the nonlinear waves are shocks.
Yueling Jia +3 more
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Classification of Integrable One‐Component Systems on Associative Algebras
, 2000P. Olver, Jing Ping Wang
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