10 citations · 12 across the 4 of their papers we have counts for
4 papers
Open Problem Statement: Minimal Distortion Embeddings of Diversities in
David Bryant, Paul Tupper
We state an open problem in the theory of diversities: what is the worst case minimal distortion embedding of a diversity on points in . This problem is the diversity a…
Weak Convergence in the Prokhorov Metric of Methods for Stochastic Differential Equations
Benoit Charbonneau, Yuriy Svyrydov, P. F. Tupper
We consider the weak convergence of numerical methods for stochastic differential equations (SDEs). Weak convergence is usually expressed in terms of the convergence of expected va…
A Conjecture about Molecular Dynamics
P. F. Tupper
An open problem in numerical analysis is to explain why molecular dynamics works. The difficulty is that numerical trajectories are only accurate for very short times, whereas the…
A Non-Existence Result for Hamiltonian Integrators
P. F. Tupper
We consider the numerical simulation of Hamiltonian systems of ordinary differential equations. Two features of Hamiltonian systems are that energy is conserved along trajectories…