most citedA Stiff Order Condition Theory for Runge-Kutta Methods Applied to Semilinear ODEs

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math.AP2025

A Hyperbolic Approximation of the Nonlinear Schrödinger Equation

Abhijit Biswas, Laila S. Busaleh, David I. Ketcheson +2

We study a first-order hyperbolic approximation of the nonlinear Schrödinger (NLS) equation. We show that the system is strictly hyperbolic and possesses a modified Hamiltonian st…

math.AP2025

Approximation of arbitrarily high-order PDEs by first-order hyperbolic relaxation

David I. Ketcheson, Abhijit Biswas

We present a framework for constructing a first-order hyperbolic system whose solution approximates that of a desired higher-order evolution equation. Constructions of this kind ha…