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math.NA2015★ 14 cited
Numerical simulation of conservation laws with moving grid nodes: Application to tsunami wave modelling
Gayaz Khakimzyanov, Denys Dutykh, Dimitrios Mitsotakis +1
In the present article we describe a few simple and efficient finite volume type schemes on moving grids in one spatial dimension combined with appropriate predictor-corrector meth…
math.NA2015★ 18 cited
On supraconvergence phenomenon for second order centered finite differences on non-uniform grids
Gayaz Khakimzyanov, Denys Dutykh
In the present study we consider an example of a boundary value problem for a simple second order ordinary differential equation, which may exhibit a boundary layer phenomenon. We…