Exponential fitted Runge--Kutta methods of collocation type: fixed or variable knot points?

By Guido Van den Berghe, M. Daele, Hans Van De Vyver. 2003

48 citations recorded by the source corpus.

Subfields: Electrical and Electronic Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/a901426b96095359aef6aea064644878091ff17e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Electrical and Electronic Engineering

1. Yuto Miyatake
2. Hans Van De Vyver
3. T. E. Simos
4. Ibraheem Alolyan

In Numerical Analysis

1. Yuto Miyatake
2. Hans Van De Vyver
3. T. E. Simos
4. Ibraheem Alolyan

Citations in the corpus

• On the generation of P-stable exponentially fitted Runge-Kutta-Nyström methods by exponentially fitted Runge-Kutta methods (2006, methodology): “Just as in [17,18] we associate with the RK method (2.”
• An energy-preserving exponentially-fitted continuous stage Runge–Kutta method for Hamiltonian systems (2014, methodology): “By simply choosing the Gaussian nodes (c1, c2) = ( 1 2 − √ 3 6 , 1 2 + √ 3 6 ) and γ1 = γ2 = 1, we can obtain the fourth order EFRK method which reduces to the two-stage Gauss method when λ = 0 [55].”