128 citations · 592 across the 51 of their papers we have counts for
4 papers · 1 filter
Functional equivariance and conservation laws in numerical integration
Robert I. McLachlan, Ari Stern
Preservation of linear and quadratic invariants by numerical integrators has been well studied. However, many systems have linear or quadratic observables that are not invariant, b…
Parametric study of E. coli incidence with reference to the New Zealand freshwater standards and the Manawatū-Whanganui region
Stephen R Marsland, Robert I McLachlan, Christopher Tuffley
The New Zealand National Policy Statement for Freshwater Management 2020 sets several targets for freshwater quality, six of which are measurements of rivers; others relate to lake…
Unfolding globally resonant homoclinic tangencies
Sishu Shankar Muni, Robert I. McLachlan, David J. W. Simpson
Global resonance is a mechanism by which a homoclinic tangency of a smooth map can have infinitely many asymptotically stable, single-round periodic solutions. To understand the bi…
Tuning symplectic integrators is easy and worthwhile
Robert I McLachlan
Many applications in computational physics that use numerical integrators based on splitting and composition can benefit from the development of optimized algorithms and from choos…