A new class of energy-preserving numerical integration methods

By G. Quispel, D. McLaren. 2008

449 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/3d38ebf598cc3b7bbdbb9c63183e670771b4da4a

How researchers see this paper

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

In Computational Mechanics

1. Yuto Miyatake
2. Ernst Hairer
3. David Cohen

In Computational Theory and Mathematics

1. Yuto Miyatake
2. Ernst Hairer
3. David Cohen
4. Christian Lubich

In Numerical Analysis

1. Yuto Miyatake
2. Ernst Hairer
3. David Cohen
4. Christian Lubich
5. Sebastiano Boscarino
6. Uri M. Ascher
7. Joel A. E. Andersson
8. Panos Stinis

Citations in the corpus

• An energy-preserving exponentially-fitted continuous stage Runge–Kutta method for Hamiltonian systems (2014, methodology): “As a special case for obtaining a discrete gradient, Quispel– McLaren proposed the average vector field (AVF) method [41] which is widely used these days.”
• Linear energy-preserving integrators for Poisson systems (2011, methodology): “The averaged vector field method [8, 9] extends the implicit mid-point rule and requires the accurate computation of integrals.”