most citedStability theory of TASE-Runge-Kutta methods with inexact Jacobian

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Stability theory of TASE-Runge-Kutta methods with inexact Jacobian

D. Conte, J. Martin-Vaquero, G. Pagano +1

This paper analyzes the stability of the class of Time-Accurate and Highly-Stable Explicit Runge-Kutta (TASE-RK) methods, introduced in 2021 by Bassenne et al. (J. Comput. Phys.) f…

math.NA2015

Resolution-optimal exponential and double-exponential transform methods for functions with endpoint singularities

Ben Adcock, Jésus Martín-Vaquero, Mark Richardson

We introduce a numerical method for the approximation of functions which are analytic on compact intervals, except at the endpoints. This method is based on variable transforms usi…