357 citations · 875 across the 60 of their papers we have counts for
7 papers · 1 filter
Asymptotic-preserving schemes for kinetic-fluid modeling of mixture flows with distinct particle sizes
Shi Jin, Yiwen Lin
We consider coupled models for particulate flows, where the disperse phase is made of particles with distinct sizes. We are thus led to a system coupling the incompressible Navier-…
Quantum algorithms for uncertainty quantification: application to partial differential equations
Francois Golse, Shi Jin, Nana Liu
Most problems in uncertainty quantification, despite its ubiquitousness in scientific computing, applied mathematics and data science, remain formidable on a classical computer. Fo…
An Asymptotic-Preserving and Energy-Conserving Particle-In-Cell Method for Vlasov-Maxwell Equations
Lijie Ji, Zhiguo Yang, Zhuoning Li +3
In this paper, we develop an asymptotic-preserving and energy-conserving (APEC) Particle-In-Cell (PIC) algorithm for the Vlasov-Maxwell system. This algorithm not only guarantees t…
Time complexity analysis of quantum algorithms via linear representations for nonlinear ordinary and partial differential equations
Shi Jin, Nana Liu, Yue Yu
We construct quantum algorithms to compute the solution and/or physical observables of nonlinear ordinary differential equations (ODEs) and nonlinear Hamilton-Jacobi equations (HJE…
On multilevel Monte Carlo methods for deterministic and uncertain hyperbolic systems
Junpeng Hu, Shi Jin, Jinglai Li +1
In this paper, we evaluate the performance of the multilevel Monte Carlo method (MLMC) for deterministic and uncertain hyperbolic systems, where randomness is introduced either in…
Energy estimates and hypocoercivity analysis for a multi-phase Navier-Stokes-Vlasov-Fokker-Planck system with uncertainty
Shi Jin, Yiwen Lin
This paper is concerned with a kineitc-fluid model with random initial inputs in the fine particle regime, which is a system coupling the incompressible Navier-Stokes equations and…
Quantum algorithms for computing observables of nonlinear partial differential equations
Shi Jin, Nana Liu
We construct quantum algorithms to compute physical observables of nonlinear PDEs with M initial data. Based on an exact mapping between nonlinear and linear PDEs using the level s…