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math.NA2018
Linear gradient structures and discrete gradient methods for conservative/dissipative differential-algebraic equations
Shun Sato
In this paper, we consider the use of discrete gradients for differential-algebraic equations (DAEs) with a conservation/dissipation law. As one of the most popular numerical metho…
math.NA2018★ 1 cited
Stability and convergence of a conservative finite difference scheme for the modified Hunter--Saxton equation
Shun Sato
The modified Hunter--Saxton equation models the propagation of short capillary-gravity waves. As it involves a mixed derivative, its initial value problem on the periodic domain is…