research
∙
04/20/2023
Statistical Fluctuation of Infinitesimal Spaces
This paper is a follow-up on the noncommutative differential geometry on...
share
research
∙
02/02/2023
A characteristic mapping method for incompressible hydrodynamics on a rotating sphere
The characteristic mapping method uses a computational framework for non...
research
∙
09/26/2022
Noncommutative Differential Geometry on Infinitesimal Spaces
In this paper we use the language of noncommutative differential geometr...
research
∙
11/01/2021
Conservative Integrators for Vortex Blob Methods
Conservative symmetric second-order one-step integrators are derived usi...
research
∙
07/07/2021
A Characteristic Mapping Method for the three-dimensional incompressible Euler equations
We propose an efficient semi-Lagrangian Characteristic Mapping (CM) meth...
research
∙
06/24/2021
A Characteristic Mapping Method for Transport on the Sphere
A semi-Lagrangian method for the solution of the transport equation on a...
research
∙
06/11/2021
Conservative Integrators for Many-body Problems
Conservative symmetric second-order one-step schemes are derived for dyn...
research
∙
01/14/2021
High-order FDTD schemes for Maxwell's interface problems with discontinuous coefficients and complex interfaces based on the Correction Function Method
We propose high-order FDTD schemes based on the Correction Function Meth...
research
∙
08/30/2020
A diffusion-driven Characteristic Mapping method for particle management
We present a novel particle management method using the Characteristic M...
research
∙
04/30/2020
A simple geometric method for navigating the energy landscape of centroidal Voronoi tessellations
Finding optimal centroidal Voronoi tessellations (CVTs) of a 2D domain p...
research
∙
11/29/2019
Parametric Interpolation Framework for 1-D Scalar Conservation Laws with Non-Convex Flux Functions
In this paper we present a novel framework for obtaining high order nume...
research
∙
10/29/2019
Parametric Interpolation Framework for Scalar Conservation Laws
In this paper we present a novel framework for obtaining high-order nume...
research
∙
10/23/2019
A Characteristic Mapping Method for the two-dimensional incompressible Euler equations
We propose an efficient semi-Lagrangian method for solving the two-dimen...
research
∙
09/23/2019