Zobrazeno 1 - 10
of 135
pro vyhledávání: '"Peng, Zhichao"'
Nonlinear and nonaffine terms in parametric partial differential equations can potentially lead to a computational cost of a reduced order model (ROM) that is comparable to the cost of the original full order model (FOM). To address this, the Reduced
Externí odkaz:
http://arxiv.org/abs/2412.02152
Autor:
Peng, Zhichao
Parametric radiative transfer equation (RTE) occurs in multi-query applications such as uncertainty quantification, inverse problems, and sensitivity analysis, which require solving RTE multiple times for a range of parameters. Consequently, efficien
Externí odkaz:
http://arxiv.org/abs/2410.08735
Autor:
Peng, Zhichao
Applications such as uncertainty quantification and optical tomography, require solving the radiative transfer equation (RTE) many times for various parameters. Efficient solvers for RTE are highly desired. Source Iteration with Synthetic Acceleratio
Externí odkaz:
http://arxiv.org/abs/2402.10488
Autor:
Peng, Zhichao, Appelö, Daniel, Petersson, N. Anders, Motamed, Mohammad, Garcia, Fortino, Cho, Yujin
Motivated by the noisy and fluctuating behavior of current quantum computing devices, this paper presents a data-driven characterization approach for estimating transition frequencies and decay times in a Lindbladian dynamical model of a superconduct
Externí odkaz:
http://arxiv.org/abs/2306.13747
Quantum computing has received significant amounts of interest from many different research communities over the last few years. Although there are many introductory texts that focus on the algorithmic parts of quantum computing, there is a dearth of
Externí odkaz:
http://arxiv.org/abs/2301.10712
Kinetic transport equations are notoriously difficult to simulate because of their complex multiscale behaviors and the need to numerically resolve a high dimensional probability density function. Past literature has focused on building reduced order
Externí odkaz:
http://arxiv.org/abs/2211.04677
We develop a universally applicable embedded boundary finite difference method, which results in a symmetric positive definite linear system and does not suffer from small cell stiffness. Our discretization is efficient for the wave, heat and Poisson
Externí odkaz:
http://arxiv.org/abs/2204.06083
The Kolmogorov $n$-width of the solution manifolds of transport-dominated problems can decay slowly. As a result, it can be challenging to design efficient and accurate reduced order models (ROMs) for such problems. To address this issue, we propose
Externí odkaz:
http://arxiv.org/abs/2105.14633
Autor:
Peng, Zhichao, Appelö, Daniel
A novel approach to computing time-harmonic solutions of Maxwell's equations by time-domain simulations is presented. The method, EM-WaveHoltz, results in a positive definite system of equations which makes it amenable to iterative solution with the
Externí odkaz:
http://arxiv.org/abs/2103.14789
Linear kinetic transport equations play a critical role in optical tomography, radiative transfer and neutron transport. The fundamental difficulty hampering their efficient and accurate numerical resolution lies in the high dimensionality of the phy
Externí odkaz:
http://arxiv.org/abs/2103.07574