Numerical Analysis

Authors and titles for January 2025

[1] arXiv:2501.00150 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Error estimation for quasi-Monte Carlo Show Chinese title

Title: 拟蒙特卡罗误差估计

Art B. Owen

Subjects: Numerical Analysis (math.NA) ; Computation (stat.CO)

[2] arXiv:2501.00245 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Localized Estimation of Condition Numbers for MILU Preconditioners on a Graph Show Chinese title

Title: 图上MILU预条件子的条件数局部估计

Geonho Hwang, Yesom Park, Yueun Lee, Jooyoung Hahn, Myungjoo Kang

Subjects: Numerical Analysis (math.NA)

[3] arXiv:2501.00263 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: A structure-preserving collisional particle method for the Landau kinetic equation Show Chinese title

Title: 朗道动力学方程的保结构碰撞粒子方法

Kai Du, Lei Li, Yongle Xie, Yang Yu

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

[4] arXiv:2501.00288 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Solving Partial Differential Equations with Random Feature Models Show Chinese title

Title: 用随机特征模型求解偏微分方程

Chunyang Liao

Comments: Accepted by Communications in Nonlinear Science and Numerical Simulation

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

[5] arXiv:2501.00345 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: The discrete inverse conductivity problem solved by the weights of an interpretable neural network Show Chinese title

Title: 可解释神经网络权重求解的离散逆电导率问题

Elena Beretta, Maolin Deng, Alberto Gandolfi, Bangti Jin

Comments: 31 pages, 12 figures

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

[6] arXiv:2501.00780 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Solving McKean-Vlasov Equation by deep learning particle method Show Chinese title

Title: 用深度学习粒子法求解McKean-Vlasov方程

Jingyuan Li, Wei Liu

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

[7] arXiv:2501.00783 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Solid-state dewetting of axisymmetric thin film on axisymmetric curved-surface substrates: modeling and simulation Show Chinese title

Title: 具有轴对称曲面衬底的轴对称薄膜的固态冷凝现象：建模与仿真

Zhenghua Duan, Meng Li, Chunjie Zhou

Subjects: Numerical Analysis (math.NA)

[8] arXiv:2501.00849 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Error analysis for a fully-discrete finite element approximation of the unsteady $p(\cdot,\cdot)$-Stokes equations Show Chinese title

Title: 关于非定常$p(\cdot,\cdot)$-Stokes 方程全离散有限元逼近的误差分析

Luigi C. Berselli, Alex Kaltenbach, Seungchan Ko

Comments: 27 pages, 4 tables

Subjects: Numerical Analysis (math.NA)

[9] arXiv:2501.00887 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Integral equations for flexural-gravity waves: analysis and numerical methods Show Chinese title

Title: 弯曲重力波的积分方程：分析与数值方法

Travis Askham, Jeremy G. Hoskins, Peter Nekrasov, Manas Rachh

Subjects: Numerical Analysis (math.NA) ; Geophysics (physics.geo-ph)

[10] arXiv:2501.00898 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Numerical computation of the Schwarz function Show Chinese title

Title: 施瓦茨函数的数值计算

Lloyd N. Trefethen

Subjects: Numerical Analysis (math.NA)

[11] arXiv:2501.00902 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Rational approximation Show Chinese title

Title: 有理逼近

Lloyd N. Trefethen

Subjects: Numerical Analysis (math.NA)

[12] arXiv:2501.00938 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Overlapping Schwarz methods are not anisotropy-robust multigrid smoothers Show Chinese title

Title: 重叠Schwarz方法不是稳健的各向异性多网格平滑器

Oliver A. Krzysik, Ben S. Southworth, Bobby Philip

Subjects: Numerical Analysis (math.NA)

[13] arXiv:2501.00997 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Stochastic Simulation and Monte Carlo Method Show Chinese title

Title: 随机模拟与蒙特卡罗方法

Davoud Mirzaei

Subjects: Numerical Analysis (math.NA) ; Computation (stat.CO) ; Other Statistics (stat.OT)

[14] arXiv:2501.01167 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Weighted approximate sampling recovery and integration based on B-spline interpolation and quasi-interpolation Show Chinese title

Title: 基于B样条插值和拟插值的加权近似抽样恢复与积分

Dinh Dũng

Subjects: Numerical Analysis (math.NA)

[15] arXiv:2501.01199 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: On the deterioration of convergence rate of spectral differentiations for functions with singularities Show Chinese title

Title: 关于具奇性的函数的谱微分收敛率的退化

Haiyong Wang

Comments: 24 pages

Subjects: Numerical Analysis (math.NA)

[16] arXiv:2501.01299 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Model Reduction for Transport-Dominated Problems via Cross-Correlation Based Snapshot Registration Show Chinese title

Title: 基于交叉相关snapshot注册的传输占主导问题的模型降阶方法

Harshith Gowrachari, Giovanni Stabile, Gianluigi Rozza

Subjects: Numerical Analysis (math.NA)

[17] arXiv:2501.01445 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Optimal error bounds on an exponential wave integrator Fourier spectral method for fractional nonlinear Schrödinger equations with low regularity potential and nonlinearity Show Chinese title

Title: 分数非线性薛定谔方程在低正则势和非线性情况下的指数波积分器傅里叶谱方法的最优误差界限

Junqing Jia, Xiaoyun Jiang

Comments: 29 pages, 10 figures. arXiv admin note: substantial text overlap with arXiv:2302.09262 by other authors

Subjects: Numerical Analysis (math.NA)

[18] arXiv:2501.01523 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: High order interpolation of magnetic fields with vector potential reconstruction for particle simulations Show Chinese title

Title: 高阶磁场插值与矢量势重构用于粒子模拟

Oleksii Beznosov, Jesus Bonilla, Xianzhu Tang, Golo Wimmer

Comments: 21 pages, 9 figures

Subjects: Numerical Analysis (math.NA) ; Plasma Physics (physics.plasm-ph)

[19] arXiv:2501.01536 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Enriched $C^1$ finite elements for crack problems in simplified strain gradient elasticity Show Chinese title

Title: 增强的$C^1$有限元在简化应变梯度弹性中的裂纹问题

Yury Solyaev, Vasiliy Dobryanskiy

Subjects: Numerical Analysis (math.NA) ; Classical Physics (physics.class-ph)

[20] arXiv:2501.01587 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: EGPT-PINN: Entropy-enhanced Generative Pre-Trained Physics Informed Neural Networks for parameterized nonlinear conservation laws Show Chinese title

Title: EGPT-PINN：用于参数化非线性守恒定律的熵增强生成预训练物理信息神经网络

Yajie Ji, Yanlai Chen, Zhenli Xu

Comments: 24 pages,12 figures

Subjects: Numerical Analysis (math.NA)

[21] arXiv:2501.01621 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems Show Chinese title

Title: 基于子结构的非线性系统降阶建模的超简化基元方法

Mehran Ebrahimi, Masayuki Yano

Comments: Published in Computer Methods in Applied Mechanics and Engineering

Journal-ref: Computer Methods in Applied Mechanics and Engineering 431 (2024): 117254

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

[22] arXiv:2501.01651 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Enhanced Error Bounds For The Masked Projection Techniques via Cosine-Sine Decomposition Show Chinese title

Title: 通过余弦正弦分解的掩码投影技术的增强误差界限

Brij Nandan Tripathi, Hanumant Singh Shekhawat

Subjects: Numerical Analysis (math.NA)

[23] arXiv:2501.01655 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Krylov iterative methods for linear least squares problems with linear equality constraints Show Chinese title

Title: Krylov迭代方法用于具有线性等式约束的线性最小二乘问题

Haibo Li

Subjects: Numerical Analysis (math.NA)

[24] arXiv:2501.01676 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: A BDDC method with an adaptive coarse space for three-dimensional advection-diffusion problems Show Chinese title

Title: 一种用于三维对流扩散问题的自适应粗空间BDDC方法

Jie Peng, Shi Shu, Junxian Wang, Liuqiang Zhong

Subjects: Numerical Analysis (math.NA)

[25] arXiv:2501.02161 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Improved adjoint lattice Boltzmann method for topology optimization of laminar convective heat transfer Show Chinese title

Title: 改进的伴随格子玻尔兹曼方法用于层流对流换热拓扑优化

Ji-Wang Luo, Li Chen, Kentaro Yaji, Wen-Quan Tao

Comments: 40 pages, 22 figures

Journal-ref: International Journal of Heat and Mass Transfer, Volume 251, 15 November 2025, 127315

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

[26] arXiv:2501.02183 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Data-Driven Reduced-Order Models for Port-Hamiltonian Systems with Operator Inference Show Chinese title

Title: 基于数据的用于算子推断的端口-哈密顿系统降阶模型

Yuwei Geng, Lili Ju, Boris Kramer, Zhu Wang

Comments: 28 pages, 13 figures

Subjects: Numerical Analysis (math.NA)

[27] arXiv:2501.02199 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Can ChatGPT implement finite element models for geotechnical engineering applications? Show Chinese title

Title: ChatGPT能否用于岩土工程应用的有限元模型？

Taegu Kim, Tae Sup Yun, Hyoung Suk Suh

Subjects: Numerical Analysis (math.NA) ; Artificial Intelligence (cs.AI)

[28] arXiv:2501.02307 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Fourier-Gegenbauer Integral-Galerkin Method for Solving the Advection-Diffusion Equation With Periodic Boundary Conditions Show Chinese title

Title: 傅里叶-高斯埃尔米特积分-伽辽金方法用于求解具有周期性边界条件的对流扩散方程

Kareem T. Elgindy

Subjects: Numerical Analysis (math.NA)

[29] arXiv:2501.02310 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Improving the stability and efficiency of high-order operator-splitting methods Show Chinese title

Title: 提高高阶算子分裂方法的稳定性和效率

Siqi Wei, Victoria Guenter, Raymond J. Spiteri

Comments: 20 pages, 5 figures

Subjects: Numerical Analysis (math.NA)

[30] arXiv:2501.02449 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: The Mean Value Theorem: Analytical Proof and Computational Approaches Show Chinese title

Title: 中值定理：分析证明与计算方法

Márcio Matheus de Lima Barboza, Francisco Márcio Barboza

Comments: 6 pages, 2 figures

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

[31] arXiv:2501.02590 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Auto-Stabilized Weak Galerkin Finite Element Methods for Stokes Equations on Non-Convex Polytopal Meshes Show Chinese title

Title: 自稳定弱伽辽金有限元方法在非凸多面体网格上的斯托克斯方程

Chunmei Wang, Shangyou Zhang

Comments: 30 pages, 8 tables, 8 figures

Subjects: Numerical Analysis (math.NA)

[32] arXiv:2501.02644 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Enhancing multigrid solvers for isogeometric analysis of nonlinear problems using polynomial extrapolation techniques Show Chinese title

Title: 使用多项式外推技术增强非线性问题等几何分析的多重网格求解器

Abdellatif Mouhssine, Ahmed Ratnani, Hassane Sadok

Subjects: Numerical Analysis (math.NA)

[33] arXiv:2501.02663 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Determination of Preferred Fiber Orientation State based on Newton-Raphson Method using Exact Jacobian Show Chinese title

Title: 基于牛顿-拉弗森法利用精确雅可比矩阵确定优选纤维取向状态

Aigbe Awenlimobor, Douglas E. Smith

Comments: 40 pages

Subjects: Numerical Analysis (math.NA)

[34] arXiv:2501.02691 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Hybridizable Symmetric Stress Elements on the Barycentric Refinement in Arbitrary Dimensions Show Chinese title

Title: 任意维数中在重心细分上的可杂化对称应力单元

Long Chen, Xuehai Huang

Comments: 33 pages, 2 figures

Subjects: Numerical Analysis (math.NA)

[35] arXiv:2501.02729 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Kolmogorov equations for evaluating the boundary hitting of degenerate diffusion with unsteady drift Show Chinese title

Title: 关于评估具非稳态漂移的退化扩散边界击中问题的柯尔莫戈洛夫方程

Hidekazu Yoshioka

Subjects: Numerical Analysis (math.NA)

[36] arXiv:2501.02762 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Scaled-cPIKANs: Domain Scaling in Chebyshev-based Physics-informed Kolmogorov-Arnold Networks Show Chinese title

Title: 尺度化-Chebyshev基物理信息Kolmogorov-Arnold网络的域尺度化：Scaled-cPIKANs

Farinaz Mostajeran, Salah A Faroughi

Subjects: Numerical Analysis (math.NA)

[37] arXiv:2501.02791 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Orthogonal greedy algorithm for linear operator learning with shallow neural network Show Chinese title

Title: 正交贪婪算法在浅层神经网络的线性算子学习中的应用

Ye Lin, Jiwei Jia, Young Ju Lee, Ran Zhang

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

[38] arXiv:2501.02938 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: A subspace-conjugate gradient method for linear matrix equations Show Chinese title

Title: 一种子空间共轭梯度方法用于线性矩阵方程

Davide Palitta, Martina Iannacito, Valeria Simoncini

Comments: 25 pages, 2 figures, 6 tables, 3 algorithms

Subjects: Numerical Analysis (math.NA)

[39] arXiv:2501.02943 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Efficient Langevin sampling with position-dependent diffusion Show Chinese title

Title: 带位置依赖扩散的高效Langevin采样

Eugen Bronasco, Benedict Leimkuhler, Dominic Phillips, Gilles Vilmart

Comments: 31 pages

Subjects: Numerical Analysis (math.NA)

[40] arXiv:2501.02987 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: On the numerical evaluation of wall shear stress using the finite element method Show Chinese title

Title: 使用有限元方法进行壁面剪切应力的数值评估

Jana Brunátová, Jørgen Schartum Dokken, Kristian Valen-Sendstad, Jaroslav Hron

Subjects: Numerical Analysis (math.NA)

[41] arXiv:2501.03083 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Solving the Porous Medium Equation with the eXtreme Mesh deformation approach (X-Mesh) Show Chinese title

Title: 用极端网格变形方法（X-Mesh）求解多孔介质方程

Alexandre Chemin, Jonathan Lambrechts, Nicolas Moës, Jean-François Remacle

Subjects: Numerical Analysis (math.NA)

[42] arXiv:2501.03086 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: A unifying moving mesh method for curves, surfaces, and domains based on mesh equidistribution and alignment Show Chinese title

Title: 基于网格等分布和对齐的曲线、曲面和区域的统一移动网格方法

Min Zhang, Weizhang Huang

Comments: 37 pages, 13 figures

Subjects: Numerical Analysis (math.NA)

[43] arXiv:2501.03093 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Finite Element Analysis of Shear Lag Effect in Long-Span Single-Box Continuous Rigid Bridges Show Chinese title

Title: 单箱多跨连续刚构桥剪力滞效应的有限元分析

Zhaokun Shen, Chengtao Zhou, Dianhao Li, Yun Meng, Lvye Zhou, Ligui Yang, Chengmao He, Shaorui Wang, Shuangshuang Jin

Subjects: Numerical Analysis (math.NA)

[44] arXiv:2501.03377 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material Show Chinese title

Title: 基于张量结构的PCG方法用于铁电材料中域模式的有限差分求解器

Věnceslav Chumchal, Pavel Marton, Martin Plešinger, Martina Šimůnková

Comments: 32 pages, 10 figures

Subjects: Numerical Analysis (math.NA)

[45] arXiv:2501.03459 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Convergence of a particle method for gradient flows on the $L^p$-Wasserstein space Show Chinese title

Title: 梯度流在$L^p$-Wasserstein 空间上的粒子方法的收敛性

Rong Lei

Comments: arXiv admin note: text overlap with arXiv:1605.08086 by other authors

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

[46] arXiv:2501.03487 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Adaptive Residual-Driven Newton Solver for Nonlinear Systems of Equations Show Chinese title

Title: 非线性方程组的自适应残差驱动牛顿求解器

Renjie Ding, Dongling Wang

Subjects: Numerical Analysis (math.NA)

[47] arXiv:2501.03719 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Shape Taylor expansion for wave scattering problems Show Chinese title

Title: 波散射问题的形状泰勒展开

Gang Bao, Haoran Ma, Jun Lai, Jingzhi Li

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

[48] arXiv:2501.03742 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Computing accurate eigenvalues using a mixed-precision Jacobi algorithm Show Chinese title

Title: 使用混合精度雅可比算法计算准确的特征值

Nicholas J. Higham, Françoise Tisseur, Marcus Webb, Zhengbo Zhou

Comments: 27 pages

Subjects: Numerical Analysis (math.NA)

[49] arXiv:2501.03743 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Communication-reduced Conjugate Gradient Variants for GPU-accelerated Clusters Show Chinese title

Title: 通信减少的共轭梯度变体用于GPU加速集群

Massimo Bernaschi, Mauro G. Carrozzo, Alessandro Celestini, Giacomo Piperno, Pasqua D'Ambra

Subjects: Numerical Analysis (math.NA)

[50] arXiv:2501.03776 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Group Sparse-based Tensor CP Decomposition: Model, Algorithms, and Applications in Chemometrics Show Chinese title

Title: 基于群稀疏的张量CP分解：模型、算法及其在化学计量学中的应用

Zihao Wang, Minru Bai, Liang Chen, Xueying Zhao

Subjects: Numerical Analysis (math.NA)