most citedTraveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation

5 citations · 6 across the 2 of their papers we have counts for

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math.NA2024★ 5 cited

Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation

Abhijit Biswas, David I. Ketcheson, Hendrik Ranocha +1

We study the recently-proposed hyperbolic approximation of the Korteweg-de Vries equation (KdV). We show that this approximation, which we call KdVH, possesses a rich variety of so…

math.NA2023★ 1 cited

Multiple-Relaxation Runge Kutta Methods for Conservative Dynamical Systems

Abhijit Biswas, David I. Ketcheson

We generalize the idea of relaxation time stepping methods in order to preserve multiple nonlinear conserved quantities of a dynamical system by projecting along directions defined…