activity
20072024
most citedThe multiplier method to construct conservative finite difference schemes for ordinary and partial differential equations

22 citations · 63 across the 12 of their papers we have counts for

collaborators

12 papers

math.NA2024

Fully discrete energy-dissipative and conservative discrete gradient particle methods for a class of continuity equations

Jingwei Hu, Samuel Q. Van Fleet, Andy T. S. Wan

Structure-preserving particle methods have recently been proposed for a class of nonlinear continuity equations, including aggregation-diffusion equation in [J. Carrillo, K. Craig,…

math.NA2022★ 1 cited

Minimal Norm Discrete Multiplier Method

Erick Schulz, Andy T. S. Wan

We introduce an extension to the Discrete Multiplier Method (DMM), called Minimal Norm Discrete Multiplier Method (MN-DMM), where conservative finite difference schemes fo…

math.NA2022

Improving sampling efficacy on high dimensional distributions with thin high density regions using Conservative Hamiltonian Monte Carlo

Geoffrey McGregor, Andy T. S. Wan

Hamiltonian Monte Carlo is a prominent Markov Chain Monte Carlo algorithm, which employs symplectic integrators to sample from high dimensional target distributions in many applica…

math.NA2021★ 3 cited

Conservative Integrators for Vortex Blob Methods

Cem Gormezano, Jean-Christophe Nave, Andy T. S. Wan

Conservative symmetric second-order one-step integrators are derived using the Discrete Multiplier Method for a family of vortex-blob models approximating the incompressible Euler'…

math.NA2021★ 7 cited

Conservative Integrators for Many-body Problems

Andy T. S. Wan, Alexander Bihlo, Jean-Christophe Nave

Conservative symmetric second-order one-step schemes are derived for dynamical systems describing various many-body systems using the Discrete Multiplier Method. This includes cons…

math.NA2021

Conservative Integrators for Piecewise Smooth Systems with Transversal Dynamics

Anil N. Hirani, Andy T. S. Wan, Nikolas Wojtalewicz

We introduce conservative integrators for long term integration of piecewise smooth systems with transversal dynamics and piecewise smooth conserved quantities. In essence, for a p…