Geometric integration and its applications

123 citations recorded by the source corpus.

How researchers see this paper

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

Splitting methods (2002, unknown): “…now clear that they are a very general and flexible way of constructing geometric integrators (McLachlan and Quispel 2001a, Budd and Iserles 1999, Budd and Piggott 2002, Hairer, Lubich and Wanner 2002) which preserve structural features of the flow of X, conferring qualitative superiority on the…”
Numerical Methods for Evolutionary Differential Equations (2008, methodology): “The wave equation is also a Hamiltonian PDE [41, 38, 137] and can be seen to satisfy the local conservation law, [ 1 2 u(2)1 + 1 2 u(2)2 + V (φ) ]”
Adaptivity with moving grids (2009, methodology): “Such methods are called scale-invariant (Budd and Piggott 2005, Baines et al. 2006) as they perform identically under the scaling transformations.”
Geometric integrators for ODEs (2006, background): “More details on these topics and extensive references can be found in several recent books [47, 72, 109, 115] and survey articles [18, 19 , 36, 48, 61, 74, 76, 89, 90].”