11 citations · 33 across the 8 of their papers we have counts for
8 papers
A Well-Balanced Method for an Unstaggered Central Scheme, the two-space Dimensional Case
Yu-Chen Cheng, Christian Klingenberg, Rony Touma
We develop a second-order accurate central scheme for the two-dimensional hyperbolic system of in-homogeneous conservation laws. The main idea behind the scheme is that we combine…
A Well-Balanced Method for an Unstaggered Central Scheme, the one-space Dimensional Case
Yu-Chen Cheng, Christian Klingenberg, Rony Touma
In this paper, we propose a new MUSCL scheme by combining the ideas of the Kurganov and Tadmor scheme and the so-called Deviation method which results in a well-balanced finite vol…
Numerical computation of the equilibrium-reduced density matrix for strongly coupled open quantum systems
Tyler Chen, Yu-Chen Cheng
We describe a numerical algorithm for approximating the equilibrium-reduced density matrix and the effective (mean force) Hamiltonian for a set of system spins coupled strongly to…
Stochastic limit-cycle oscillations of a nonlinear system under random perturbations
Yu-Chen Cheng, Hong Qian
Dynamical systems with small random perturbations appear in both continuous mechanical motions and discrete stochastic chemical kinetics. The present work provides a detailed a…
Potentials of Continuous Markov Process and Random Perturbations
Ying-Jen Yang, Yu-Chen Cheng
With a scalar potential and a bivector potential, the vector field associated with the drift of a diffusion is decomposed into a generalized gradient field, a field perpendicular t…
Asymptotic Behavior of a Sequence of Conditional Probability Distributions and the Canonical Ensemble
Yu-Chen Cheng, Hong Qian, Yizhe Zhu
The probability distribution of a function of a subsystem conditioned on the value of the function of the whole, in the limit when the ratio of their values goes to zero, has a lim…
Ternary Representation of Stochastic Change and the Origin of Entropy and Its Fluctuations
Hong Qian, Yu-Chen Cheng, Lowell F. Thompson
A change in a stochastic system has three representations: Probabilistic, statistical, and informational: (i) is based on random variable ; this induces (ii) t…
Generalized Boltzmann distributions for systems strongly coupled to large finite bath -- a microcanonical approach
Yu-Chen Cheng, Wenning Wang, Zhiyue Lu +1
The theory of probability shows that, as the fraction , the conditional probability for , given , has a limit law $f_{X_n}(x)e^{-ψ_n(h_δ)x…