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检索条件"机构=The Department of Mathematics and Program in Applied and Computational Mathematics"
7169 条 记 录,以下是51-60 订阅
CONVERGENCE OF DISCONTINUOUS GALERKIN METHODS FOR QUASICONVEX AND RELAXED VARIATIONAL PROBLEMS
arXiv
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arXiv 2025年
作者: Grekas, Georgios Koumatos, Konstantinos Makridakis, Charalambo Vikelis, Andreas Computer Electrical Mathematical Sciences and Engineering Division KAUST Saudi Arabia Department of Mathematics University of Sussex United Kingdom Institute of Applied & Computational Mathematics Foundation for Research & Technology-Hellas Greece Department of Mathematics and Applied Mathematics University of Crete Greece Faculty of Civil Engineering Czech Technical University of Prague Czech Republic
In this work, we establish that discontinuous Galerkin methods are capable of producing reliable approximations for a broad class of nonlinear variational problems. In particular, we demonstrate that these schemes pro...
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Further Studies on the Self-Adaptive Theta Scheme for Conservation Laws
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Journal of Scientific Computing 2025年 第1期104卷 1-31页
作者: Arbogast, Todd Huang, Chieh-Sen King, Danielle N. Department of Mathematics University of Texas Austin USA Oden Institute for Computational Engineering and Sciences C0200 University of Texas Austin USA Department of Applied Mathematics National Sun Yat-sen University Kaohsiung Taiwan R.O.C.
The finite volume, self-adaptive theta (SATh) scheme was defined in Arbogast and Huang, A self-adaptive theta scheme using discontinuity aware quadrature for solving conservation laws, IMA J. Numer. Anal. (2022). The ... 详细信息
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Correction: Evaluation of beta integrals of Ramanujan type and integral representations for bilateral hypergeometric series
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The Ramanujan Journal 2025年 第3期67卷 1-2页
作者: Cohl, Howard S. Volkmer, Hans Applied and Computational Mathematics Division National Institute of Standards and Technology Mission Viejo USA Department of Mathematical Sciences University of Wisconsin–Milwaukee Milwaukee USA
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FINITE TIME BLOWUP FOR KELLER-SEGEL EQUATION WITH LOGISTIC DAMPING IN THREE DIMENSIONS
arXiv
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arXiv 2025年
作者: Liu, Jiaqi Wang, Yixuan Zhou, Tao Department of Mathematics University of Southern California Los AngelesCA90089 United States Applied and Computational Mathematics California Institute of Technology PasadenaCA91125 United States Department of Mathematics National University of Singapore Singapore119076 Singapore
The Keller-Segel equation, a classical chemotaxis model, and many of its variants have been extensively studied for decades. In this work, we focus on 3D Keller-Segel equation with a quadratic logistic damping term −&...
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A Linear-Complexity Tensor Butterfly Algorithm for Compressing High-Dimensional Oscillatory Integral Operators
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Multiscale Modeling & Simulation 2025年 第2期23卷 864-893页
作者: P. Michael Kielstra Tianyi Shi Hengrui Luo Jianliang Qian Yang Liu Department of Mathematics University of California BerkeleyCA94720 United States Applied Mathematics and Computational Research Division Lawrence Berkeley National Laboratory BerkeleyCA94720 United States Department of Statistics Rice University HoustonTX77251 United States Department of Mathematics Department of CMSE Michigan State University East LansingMI48824 United States
This paper presents a multilevel tensor compression algorithm called tensor butterfly algorithm for efficiently representing large-scale and high-dimensional oscillatory integral operators, including Green’s function... 详细信息
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Riemannian Proximal Sampler for High-accuracy Sampling on Manifolds
arXiv
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arXiv 2025年
作者: Guan, Yunrui Balasubramanian, Krishnakumar Ma, Shiqian Department of Computational Applied Mathematics and Operations Research Rice University United States Department of Statistics University of California Davis United States
We introduce the Riemannian Proximal Sampler, a method for sampling from densities defined on Riemannian manifolds. The performance of this sampler critically depends on two key oracles: the Manifold Brownian Incremen... 详细信息
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Thermal disorder and phonon softening in the ferroelectric phase transition of lead titanate
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Physical Review B 2025年 第9期111卷 094113-094113页
作者: Pinchen Xie Yixiao Chen Weinan E Roberto Car Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544 USA AI for Science Institute Beijing China and Center for Machine Learning Research and School of Mathematical Sciences Peking University Beijing China
We report a molecular dynamics study of ab initio quality of the ferroelectric phase transition in crystalline PbTiO3. We model anharmonicity accurately in terms of potential energy and polarization surfaces trained o... 详细信息
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An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods
arXiv
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arXiv 2025年
作者: Chan, Jesse Department of Computational Applied Mathematics and Operations Research Rice University 6100 Main St HoustonTX77005 United States
Entropy stable discontinuous Galerkin (DG) methods improve the robustness of high order DG simulations of nonlinear conservation laws. These methods yield a semi-discrete entropy inequality, and rely on an algebraic f... 详细信息
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Global Bounds for the Error in Solutions of Linear Hyperbolic Systems due to Inaccurate Boundary Geometry
arXiv
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arXiv 2025年
作者: Kopriva, David A. Winters, Andrew R. Nordström, Jan Department of Mathematics The Florida State University TallahasseeFL32306 United States Computational Science Research Center San Diego State University San DiegoCA United States Department of Mathematics Applied Mathematics Linköping University Linköping581 83 Sweden Department of Mathematics and Applied Mathematics University of Johannesburg P.O. Box 524 Auckland Park2006 South Africa
We derive global estimates for the error in solutions of linear hyperbolic systems due to inaccurate boundary geometry. We show that the error is bounded by data and bounded in time when the solutions in the true and ... 详细信息
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P-ORDER: A UNIFIED CONVERGENCE-ANALYSIS FRAMEWORK FOR MULTIVARIATE ITERATIVE METHODS
arXiv
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arXiv 2025年
作者: Jiao, Xiangmin Gao, Hongji Department of Applied Mathematics & Statistics Institute for Advanced Computational Science Stony Brook University Stony BrookNY11794 United States Department of Applied Mathematics & Statistics Stony Brook University Stony BrookNY11794 United States
We propose P-order (Power-order), a unified, norm-independent framework for quantifying the convergence rates of iterative methods. Standard analyses based on Q-order are norm-dependent and require some uniformity of ... 详细信息
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