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math.NA2025
Efficient high-order two-derivative DIRK methods with optimized phase errors
Julius Ehigie, Vu Thai Luan
This work constructs and analyzes new efficient high-order two-derivative diagonally implicit Runge--Kutta (TDDIRK) schemes with optimized phase errors. Specifically, we present a…
math.NA2020
Exponentially fitted two-derivative DIRK methods for oscillatory differential equations
Julius O. Ehigie, Vu Thai Luan, Solomon A. Okunuga +1
In this work, we construct and derive a new class of exponentially fitted two-derivative diagonally implicit Runge--Kutta (EFTDDIRK) methods for the numerical solution of different…