research
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09/05/2023
Accurate Solution of the Nonlinear Schrödinger Equation via Conservative Multiple-Relaxation ImEx Methods
The nonlinear Schrödinger (NLS) equation possesses an infinite hierarchy...
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02/10/2023
Multiple-Relaxation Runge Kutta Methods for Conservative Dynamical Systems
We generalize the idea of relaxation time stepping methods in order to p...
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04/24/2022
Design of DIRK Schemes with High Weak Stage Order
Runge-Kutta (RK) methods may exhibit order reduction when applied to cer...
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04/07/2022
Algebraic Structure of the Weak Stage Order Conditions for Runge-Kutta Methods
Runge-Kutta (RK) methods may exhibit order reduction when applied to sti...
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10/29/2020