208 citations · 1.4k across the 68 of their papers we have counts for
4 papers · 1 filter
Closed-form modified Hamiltonians for integrable numerical integration schemes
Shami A Alsallami, Jitse Niesen, Frank W Nijhoff
Modified Hamiltonians are used in the field of geometric numerical integration to show that symplectic schemes for Hamiltonian systems are accurate over long times. For nonlinear s…
On reductions of the discrete Kadomtsev--Petviashvili-type equations
Wei Fu, Frank Nijhoff
The reduction by restricting the spectral parameters and on a generic algebraic curve of degree is performed for the discrete AKP, BKP and CKP equations, res…
Quantum Variational Principle and quantum multiform structure: the case of quadratic Lagrangians
Steven D. King, Frank W. Nijhoff
A modern notion of integrability is that of multidimensional consistency (MDC), which classically implies the coexistence of (commuting) dynamical flows in several independent vari…
Linear integral equations, infinite matrices, and soliton hierarchies
Wei Fu, Frank W. Nijhoff
A systematic framework is presented for the construction of hierarchies of soliton equations. This is realised by considering scalar linear integral equations and their representat…