Numerical Analysis

Authors and titles for August 2023

[1] arXiv:2308.00125 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Multilevel well modeling in aggregation-based nonlinear multigrid for multiphase flow in porous media Show Chinese title

Title: 多相流在多孔介质中基于聚合的非线性多重网格的多井建模

Chak Shing Lee, François P. Hamon, Nicola Castelletto, Panayot S. Vassilevski, Joshua A. White

Comments: arXiv admin note: text overlap with arXiv:2109.07546

Subjects: Numerical Analysis (math.NA)

[2] arXiv:2308.00292 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: A Dual-space Multilevel Kernel-splitting Framework for Discrete and Continuous Convolution Show Chinese title

Title: 一种用于离散和连续卷积的双空间多级核分裂框架

Shidong Jiang, Leslie Greengard

Comments: 53 pages, 15 figures

Subjects: Numerical Analysis (math.NA)

[3] arXiv:2308.00332 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Reconstruction Harmonic Balance Method and its Application in Solving Complex Nonlinear Dynamical Systems Show Chinese title

Title: 谐波平衡法的重构及其在求解复杂非线性动力系统中的应用

Dai Honghua, Wang Qisi, Yan Zipu, Yue Xiaokui

Comments: 14 pages, in Chinese language, and 14 pictures

Subjects: Numerical Analysis (math.NA)

[4] arXiv:2308.00467 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: On greedy multi-step inertial randomized Kaczmarz method for solving linear systems Show Chinese title

Title: 关于求解线性方程组的贪心多步惯性随机Kaczmarz方法

Yansheng Su, Deren Han, Yun Zeng, Jiaxin Xie

Comments: to appear in Calcolo

Subjects: Numerical Analysis (math.NA)

[5] arXiv:2308.00547 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Structure Preserving Polytopal Discontinuous Galerkin Methods for the Numerical Modeling of Neurodegenerative Diseases Show Chinese title

Title: 保持结构的多面体不连续伽辽金方法用于神经退行性疾病数值建模

Mattia Corti, Francesca Bonizzoni, Paola F. Antonietti

Journal-ref: Journal of Scientific Computing (2024)

Subjects: Numerical Analysis (math.NA)

[6] arXiv:2308.00559 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Random walks in frequency and the reconstruction of obstacles with cavities from multi-frequency data Show Chinese title

Title: 频率中的随机游走以及从多频数据中重建带有空腔的障碍物

Travis Askham, Carlos Borges, Jeremy Hoskins, Manas Rachh

Comments: 28 pages, 17 figures

Subjects: Numerical Analysis (math.NA)

[7] arXiv:2308.00595 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Imposing nonlocal boundary conditions in Galerkin-type methods based on non-interpolatory functions Show Chinese title

Title: 在基于非插值函数的伽辽金型方法中施加非局部边界条件

Svajūnas Sajavičius, Thomas Takacs

Journal-ref: Comput. Math. Appl. 80 (2020) 2877-2895

Subjects: Numerical Analysis (math.NA)

[8] arXiv:2308.00617 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Multiscale estimates for the condition number of non-harmonic Fourier matrices Show Chinese title

Title: 非调和傅里叶矩阵的条件数的多尺度估计

Weilin Li

Comments: 34 pages, 8 figures; to appear in Math Comp

Subjects: Numerical Analysis (math.NA)

[9] arXiv:2308.00630 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Anderson Accelerated PMHSS for Complex-Symmetric Linear Systems Show Chinese title

Title: 安德森加速的PMHSS用于复对称线性系统

Måns I. Andersson, Felix Liu, Stefano Markidis

Subjects: Numerical Analysis (math.NA)

[10] arXiv:2308.00673 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Orthonormal eigenfunction expansions for sixth-order boundary value problems Show Chinese title

Title: 六阶边值问题的正交特征函数展开

N C Papanicolaou, I C Christov

Comments: 18 pages, 5 figures, IoP jpconf style; v2: correct minor typos, to appear in the proceedings of the Fifteenth Conference of the Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences (AMiTaNS'23)

Journal-ref: J. Phys.: Conf. Ser. 2675 (2023) 012016

Subjects: Numerical Analysis (math.NA) ; Fluid Dynamics (physics.flu-dyn)

[11] arXiv:2308.00679 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Sharp Taylor Polynomial Enclosures in One Dimension Show Chinese title

Title: 一维中的精确泰勒多项式包含

Matthew Streeter, Joshua V. Dillon

Comments: 28 pages, 5 figures

Subjects: Numerical Analysis (math.NA) ; Optimization and Control (math.OC) ; Computation (stat.CO)

[12] arXiv:2308.00820 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Geometry preserving numerical methods for physical systems with finite-dimensional Lie algebras Show Chinese title

Title: 保持几何的物理系统有限维李代数的数值方法

L. Blanco, F. Jiménez Alburquerque, J. de Lucas, C. Sardón

Comments: New theoretical remarks and applications added. Presentation improved. arXiv admin note: text overlap with arXiv:2204.00046

Subjects: Numerical Analysis (math.NA) ; Mathematical Physics (math-ph)

[13] arXiv:2308.00829 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: A geometric approach to approximating the limit set of eigenvalues for banded Toeplitz matrices Show Chinese title

Title: 一种用于近似带状托普利茨矩阵特征值极限集的几何方法

Teodor Bucht, Jacob S. Christiansen

Comments: 25 pages, 9 figures. Revised version, Algorithm 2 and Example 4.1 added, final version

Journal-ref: SIAM J. Matrix Anal. Appl., 45(3) (2024) 1573-1598

Subjects: Numerical Analysis (math.NA) ; Spectral Theory (math.SP)

[14] arXiv:2308.00910 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: A Mini Immersed Finite Element Method for Two-Phase Stokes Problems on Cartesian Meshes Show Chinese title

Title: 一种用于笛卡尔网格上双相斯托克斯问题的微型浸入有限元方法

Haifeng Ji, Dong Liang, Qian Zhang

Subjects: Numerical Analysis (math.NA)

[15] arXiv:2308.01055 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Towards optimal sensor placement for inverse problems in spaces of measures Show Chinese title

Title: 面向测度空间中反问题的最优传感器布置

Phuoc-Truong Huynh, Konstantin Pieper, Daniel Walter

Comments: 34 pages, 8 figures

Journal-ref: Inverse Probl. 40.5 (2024) 055007

Subjects: Numerical Analysis (math.NA) ; Optimization and Control (math.OC)

[16] arXiv:2308.01059 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: The Rhie-Chow stabilized Box Method for the Stokes problem Show Chinese title

Title: 适用于斯托克斯问题的Rhie-Chow稳定化箱方法

G. Negrini, N. Parolini, M. Verani

Comments: 27 pages, 6 figures, 4 tables

Subjects: Numerical Analysis (math.NA)

[17] arXiv:2308.01124 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Some notes on the trapezoidal rule for Fourier type integrals Show Chinese title

Title: 关于傅里叶型积分的梯形法则的一些注记

Eleonora Denich, Paolo Novati

Subjects: Numerical Analysis (math.NA)

[18] arXiv:2308.01411 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Well-posedness and error estimates for coupled systems of nonlocal conservation laws Show Chinese title

Title: 适定性及非局部守恒律耦合系统的误差估计

Aekta Aggarwal, Helge Holden, Ganesh Vaidya

Subjects: Numerical Analysis (math.NA) ; Analysis of PDEs (math.AP)

[19] arXiv:2308.01444 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: An Eulerian finite element method for the linearized Navier--Stokes problem in an evolving domain Show Chinese title

Title: 用于演化区域中线性化纳维-斯托克斯问题的欧拉有限元方法

Michael Neilan, Maxim Olshanskii

Journal-ref: IMA Journal of Numerical Analysis (2024), drad105

Subjects: Numerical Analysis (math.NA)

[20] arXiv:2308.01445 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: A digital twin framework for civil engineering structures Show Chinese title

Title: 用于土木工程结构的数字孪生框架

Matteo Torzoni, Marco Tezzele, Stefano Mariani, Andrea Manzoni, Karen E. Willcox

Subjects: Numerical Analysis (math.NA) ; Machine Learning (cs.LG)

[21] arXiv:2308.01480 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: A Randomized Block Krylov Method for Tensor Train Approximation Show Chinese title

Title: 一种随机块Krylov方法用于张量乘积近似

Gaohang Yu, Jinhong Feng, Zhongming Chen, Xiaohao Cai, Liqun Qi

Comments: 23 pages, 15 figures

Subjects: Numerical Analysis (math.NA)

[22] arXiv:2308.01580 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Finite element approximation of the Hardy constant Show Chinese title

Title: 硬常数的有限元逼近

Francesco Della Pietra, Giovanni Fantuzzi, Liviu I. Ignat, Alba Lia Masiello, Gloria Paoli, Enrique Zuazua

Comments: Review: Significantly improved estimates compared to the original version (23 pages, 6 figures)

Subjects: Numerical Analysis (math.NA) ; Analysis of PDEs (math.AP)

[23] arXiv:2308.01602 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Deep Learning-based surrogate models for parametrized PDEs: handling geometric variability through graph neural networks Show Chinese title

Title: 基于深度学习的参数化PDE代理模型：通过图神经网络处理几何变异性

Nicola Rares Franco, Stefania Fresca, Filippo Tombari, Andrea Manzoni

Subjects: Numerical Analysis (math.NA) ; Machine Learning (cs.LG)

[24] arXiv:2308.01638 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: A second-order structure-preserving discretization for the Cahn-Hilliard/Allen-Cahn system with cross-kinetic coupling Show Chinese title

Title: 用于具有交叉动力学耦合的Cahn-Hilliard/Allen-Cahn系统的二阶结构保持离散化

Aaron Brunk, Herbert Egger, Oliver Habrich

Comments: 23 pages, 14 figures, 1 table. arXiv admin note: text overlap with arXiv:2209.03849

Subjects: Numerical Analysis (math.NA)

[25] arXiv:2308.01651 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: lifex-ep: a robust and efficient software for cardiac electrophysiology simulations Show Chinese title

Title: lifex-ep：用于心脏电生理模拟的鲁棒且高效的软件

Pasquale C. Africa, Roberto Piersanti, Francesco Regazzoni, Michele Bucelli, Matteo Salvador, Marco Fedele, Stefano Pagani, Luca Dede', Alfio Quarteroni

Subjects: Numerical Analysis (math.NA)

[26] arXiv:2308.01705 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Randomized approximation of summable sequences -- adaptive and non-adaptive Show Chinese title

Title: 可随机逼近可求和序列——自适应与非自适应

Robert Kunsch, Erich Novak, Marcin Wnuk

Subjects: Numerical Analysis (math.NA) ; Functional Analysis (math.FA) ; Probability (math.PR)

[27] arXiv:2308.01733 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: An optimisation-based domain-decomposition reduced order model for parameter-dependent non-stationary fluid dynamics problems Show Chinese title

Title: 基于优化的域分解降阶模型用于参数依赖的非稳态流体动力学问题

Ivan Prusak, Davide Torlo, Monica Nonino, Gianluigi Rozza

Comments: arXiv admin note: substantial text overlap with arXiv:2211.14528

Subjects: Numerical Analysis (math.NA) ; Analysis of PDEs (math.AP) ; Optimization and Control (math.OC)

[28] arXiv:2308.01753 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Minimal Convex Environmental Contours Show Chinese title

Title: 最小凸环境轮廓

Åsmund Hausken Sande, Johan S. Wind

Subjects: Numerical Analysis (math.NA)

[29] arXiv:2308.01773 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Registration-based model reduction of parameterized PDEs with spatio-parameter adaptivity Show Chinese title

Title: 基于注册的参数化PDEs的时空自适应模型降阶方法

Nicolas Barral, Tommaso Taddei, Ishak Tifouti

Subjects: Numerical Analysis (math.NA)

[30] arXiv:2308.01788 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Bayesian parameter identification in impedance boundary conditions for Helmholtz problems Show Chinese title

Title: 赫尔姆霍兹问题中阻抗边界条件的贝叶斯参数识别

Nick Wulbusch, Reinhild Roden, Matthias Blau, Alexey Chernov

Comments: 22 pages, 16 figures

Subjects: Numerical Analysis (math.NA)

[31] arXiv:2308.02008 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: An equilibrated estimator for mixed finite element discretizations of the curl-curl problem Show Chinese title

Title: 一种用于旋度-旋度问题混合有限元离散化的平衡估计量

T. Chaumont-Frelet

Subjects: Numerical Analysis (math.NA)

[32] arXiv:2308.02110 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Strong convergence of multiscale truncated Euler-Maruyama method for super-linear slow-fast stochastic differential equations Show Chinese title

Title: 多尺度截断欧拉-马鲁亚姆方法在超线性慢-快随机微分方程中的强收敛性

Yuanping Cui, Xiaoyue Li, Xuerong Mao

Subjects: Numerical Analysis (math.NA)

[33] arXiv:2308.02137 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Learning the solution operator of two-dimensional incompressible Navier-Stokes equations using physics-aware convolutional neural networks Show Chinese title

Title: 使用物理感知卷积神经网络学习二维不可压缩纳维-斯托克斯方程的解算子

Viktor Grimm, Alexander Heinlein, Axel Klawonn

Subjects: Numerical Analysis (math.NA) ; Computational Engineering, Finance, and Science (cs.CE) ; Machine Learning (cs.LG)

[34] arXiv:2308.02198 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Unexpected fault activation in underground gas storage. Part I: Mathematical model and mechanisms Show Chinese title

Title: 地下燃气储存中的意外故障激活 第一部分：数学模型和机制

Andrea Franceschini, Claudia Zoccarato, Selena Baldan, Matteo Frigo, Massimiliano Ferronato, Carlo Janna, Giovanni Isotton, Pietro Teatini

Comments: 22 pages, 20 figures

Subjects: Numerical Analysis (math.NA)

[35] arXiv:2308.02235 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Robust Discontinuity Indicators for High-Order Reconstruction of Piecewise Smooth Functions Show Chinese title

Title: 高阶重构分段光滑函数的鲁棒不连续性指示器

Yipeng Li, Qiao Chen, Xiangmin Jiao

Comments: 37 pages, 37 figures, submitted to Computational and Applied Mathematics (COAM)

Subjects: Numerical Analysis (math.NA)

[36] arXiv:2308.02264 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Maximum-norm a posteriori error bounds for an extrapolated upwind scheme applied to a singularly perturbed convection-diffusion problem Show Chinese title

Title: 最大模后验误差界应用于一种外推迎风格式的奇摄动对流扩散问题

Torsten Linß, Goran Radojev

Subjects: Numerical Analysis (math.NA)

[37] arXiv:2308.02290 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Krylov Subspace Recycling With Randomized Sketching For Matrix Functions Show Chinese title

Title: Krylov 子空间回收与随机投影用于矩阵函数

Liam Burke, Stefan Güttel

Comments: 19 pages, 5 figures

Subjects: Numerical Analysis (math.NA)

[38] arXiv:2308.02291 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Algorithmic computation of multivector inverses and characteristic polynomials in non-degenerate Clifford algebras Show Chinese title

Title: 非退化Clifford代数中多向量逆和特征多项式的算法计算

Dimiter Prodanov

Comments: 11 pages. arXiv admin note: text overlap with arXiv:1904.00084

Subjects: Numerical Analysis (math.NA) ; Symbolic Computation (cs.SC)

[39] arXiv:2308.02334 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Higher order discrete gradient method by the discontinuous Galerkin time-stepping method Show Chinese title

Title: 高阶离散梯度方法通过不连续伽辽金时间步进方法

Tomoya Kemmochi

Comments: 10 pages, 3 figures

Subjects: Numerical Analysis (math.NA)

[40] arXiv:2308.02385 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Discontinuous collocation and symmetric integration methods for distributionally-sourced hyperboloidal partial differential equations Show Chinese title

Title: 不连续插值和对称积分方法用于分布源的双曲面偏微分方程

Michael F. O'Boyle, Charalampos Markakis

Comments: 29 pages, 4 figures

Subjects: Numerical Analysis (math.NA) ; High Energy Astrophysical Phenomena (astro-ph.HE) ; General Relativity and Quantum Cosmology (gr-qc)

[41] arXiv:2308.02467 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Element learning: a systematic approach of accelerating finite element-type methods via machine learning, with applications to radiative transfer Show Chinese title

Title: 基于机器学习的有限元方法加速：一种系统方法，应用于辐射传输

Shukai Du, Samuel N. Stechmann

Subjects: Numerical Analysis (math.NA)

[42] arXiv:2308.02625 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Linearly Implicit Global Energy Preserving Reduced-order Models for Cubic Hamiltonian Systems Show Chinese title

Title: 线性隐式全局能量保持的三次哈密顿系统的降阶模型

Süleyman Yildiz, Pawan Goyal, Peter Benner

Subjects: Numerical Analysis (math.NA)

[43] arXiv:2308.02659 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Coordinate-adaptive integration of PDEs on tensor manifolds Show Chinese title

Title: 坐标自适应的张量流形上的偏微分方程积分

Alec Dektor, Daniele Venturi

Comments: 14 pages, 6 figures

Subjects: Numerical Analysis (math.NA) ; Computational Physics (physics.comp-ph)

[44] arXiv:2308.02686 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Arbitrary-Lagrangian-Eulerian finite volume IMEX schemes for the incompressible Navier-Stokes equations on evolving Chimera meshes Show Chinese title

Title: 适用于随时间变化的Chimera网格上不可压缩Navier-Stokes方程的任意拉格朗日-欧拉有限体积IMEX格式

Michele Giuliano Carlino, Walter Boscheri

Subjects: Numerical Analysis (math.NA)

[45] arXiv:2308.02701 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Computation of quasiseparable representations of Green matrices Show Chinese title

Title: Green矩阵的准分离表示的计算

Paola Boito, Yuli Eidelman

Subjects: Numerical Analysis (math.NA)

[46] arXiv:2308.02802 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Learning physics-based reduced-order models from data using nonlinear manifolds Show Chinese title

Title: 从数据中使用非线性流形学习基于物理的降阶模型

Rudy Geelen, Laura Balzano, Stephen Wright, Karen Willcox

Subjects: Numerical Analysis (math.NA)

[47] arXiv:2308.02873 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: A Modified weak Galerkin finite element method for the Maxwell equations on polyhedral meshes Show Chinese title

Title: 一种改进的弱伽辽金有限元方法在多面体网格上的麦克斯韦方程组

Chunmei Wang, Xiu Ye, Shangyou Zhang

Comments: 19 pages, 4 tables

Subjects: Numerical Analysis (math.NA)

[48] arXiv:2308.02904 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Gradient-based Monte Carlo methods for relaxation approximations of hyperbolic conservation laws Show Chinese title

Title: 基于梯度的蒙特卡罗方法用于双曲守恒律的松弛近似

Giulia Bertaglia, Lorenzo Pareschi, Russel E. Caflisch

Journal-ref: J. Sci. Comput., 100 (2024) 60

Subjects: Numerical Analysis (math.NA) ; Computational Physics (physics.comp-ph)

[49] arXiv:2308.03087 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Local Randomized Neural Networks Methods for Interface Problems Show Chinese title

Title: 局部随机神经网络方法用于界面问题

Yunlong Li, Fei Wang

Comments: 22 pages, 15 figures

Subjects: Numerical Analysis (math.NA)

[50] arXiv:2308.03088 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Randomized Neural Networks with Petrov-Galerkin Methods for Solving Linear Elasticity Problems Show Chinese title

Title: 基于随机神经网络的 Petrov-Galerkin 方法求解线性弹性问题

Yong Shang, Fei Wang

Comments: 15 pages, 4 figures

Subjects: Numerical Analysis (math.NA)