Numerical Analysis

Authors and titles for September 2024

[1] arXiv:2409.00208 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Fully-Discretely Nonlinearly-Stable Flux Reconstruction Methods for Compressible Flows Show Chinese title

Title: 全离散非线性稳定通量重构方法用于可压缩流

Carolyn M V Pethrick, Siva Nadarajah

Comments: 47 pages, 23 figures

Subjects: Numerical Analysis (math.NA)

[2] arXiv:2409.00281 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Quasi-Steady-State Approach for Efficient Multiscale Simulation and Optimization of mAb Glycosylation in CHO Cell Culture Show Chinese title

Title: 基于准稳态方法的CHO细胞培养中单克隆抗体糖基化的高效多尺度仿真与优化

Yingjie Ma, Jing Guo, Andrew Maloney, Richard Braatz

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

[3] arXiv:2409.00299 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: A Hybrid Algorithm for Systems of Non-interacting Particles with an External Potential Show Chinese title

Title: 一种用于具有外势场的非相互作用粒子系统的混合算法

Ana Djurdjevac, Ann Almgren, John Bell

Subjects: Numerical Analysis (math.NA)

[4] arXiv:2409.00354 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: A parameter uniform hybrid approach for singularly perturbed two-parameter parabolic problem with discontinuous data Show Chinese title

Title: 一个参数统一的混合方法，用于具有不连续数据的双参数抛物型奇异摄动问题

Nirmali Roy, Anuradha Jha

Subjects: Numerical Analysis (math.NA)

[5] arXiv:2409.00434 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: New $C^0$ interior penalty method for Monge-Ampère equations Show Chinese title

Title: 新的$C^0$内部惩罚方法用于蒙日-安培方程

Tianyang Chu, Hailong Guo, Zhimin Zhang

Subjects: Numerical Analysis (math.NA)

[6] arXiv:2409.00500 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Randomized methods for computing joint eigenvalues, with applications to multiparameter eigenvalue problems and root finding Show Chinese title

Title: 计算联合特征值的随机方法，及其在多参数特征值问题和根查找中的应用

Haoze He, Daniel Kressner, Bor Plestenjak

Comments: 32 pages

Journal-ref: Numerical Algorithms (2024)

Subjects: Numerical Analysis (math.NA)

[7] arXiv:2409.00524 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: An extended Milstein scheme for effective weak approximation of diffusions Show Chinese title

Title: 一种用于扩散有效弱逼近的扩展米尔斯坦格式

Yuga Iguchi, Toshihiro Yamada

Subjects: Numerical Analysis (math.NA)

[8] arXiv:2409.00621 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: A Priori Error Bounds for POD-ROMs for Fluids: A Brief Survey Show Chinese title

Title: 用于流体的POD-ROMs的先验误差界：简要概述

Francesco Ballarin, Traian Iliescu

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

[9] arXiv:2409.00722 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: A modified FC-Gram approximation algorithm with provable error bounds Show Chinese title

Title: 一种具有可证明误差界限的改进的FC-Gram逼近算法

Akash Anand, Prakash Nainwal

Subjects: Numerical Analysis (math.NA)

[10] arXiv:2409.00748 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: The TRUNC element in any dimension and application to a modified Poisson equation Show Chinese title

Title: 任何维度中的TRUNC元素及其在修改后的泊松方程中的应用

Hongliang Li, Pingbing Ming, Yinghong Zhou

Subjects: Numerical Analysis (math.NA)

[11] arXiv:2409.00767 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Numerical Analysis of the Parallel Orbital-Updating Approach for Eigenvalue Problems Show Chinese title

Title: 特征值问题并行轨道更新方法的数值分析

Xiaoying Dai, Yan Li, Bin Yang, Aihui Zhou

Subjects: Numerical Analysis (math.NA)

[12] arXiv:2409.00809 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Constructing stable, high-order finite-difference operators on point clouds over complex geometries Show Chinese title

Title: 在复杂几何上的点云上构建稳定的一阶有限差分算子

Jason Hicken, Ge Yan, Sharanjeet Kaur

Comments: 57 pages, 49 figures

Subjects: Numerical Analysis (math.NA)

[13] arXiv:2409.00818 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: hp-discontinuous Galerkin method for the generalized Burgers-Huxley equation with weakly singular kernels Show Chinese title

Title: hp不连续Galerkin方法用于具有弱奇异核的广义Burgers-Huxley方程

Sumit Mahajan, Arbaz Khan

Subjects: Numerical Analysis (math.NA)

[14] arXiv:2409.00883 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Efficient Decomposition-Based Algorithms for $\ell_1$-Regularized Inverse Problems with Column-Orthogonal and Kronecker Product Matrices Show Chinese title

Title: 基于高效分解的算法用于具有列正交和Kronecker乘积矩阵的$\ell_1$正则化逆问题

Brian Sweeney, Malena I. Español, Rosemary Renaut

Comments: 24 pages, 9 figures

Subjects: Numerical Analysis (math.NA)

[15] arXiv:2409.00893 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Time-fractional diffusion equations with randomness, and efficient numerical estimations of expected values Show Chinese title

Title: 带有随机性的时滞分数阶扩散方程以及期望值的有效数值估计

Josef Dick, Hecong Gao, William McLean, Kassem Mustapha

Subjects: Numerical Analysis (math.NA)

[16] arXiv:2409.00972 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: A potential energy conserving finite element method for turbulent variable density flow: application to glacier-fjord circulation Show Chinese title

Title: 一种用于湍流变密度流动的保持势能的有限元方法：应用于冰川-峡湾环流

Lukas Lundgren, Christian Helanow, Jonathan Wiskandt, Inga Monika Koszalka, Josefin Ahlkrona

Comments: 30 pages, 6 figures

Subjects: Numerical Analysis (math.NA)

[17] arXiv:2409.00999 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Design of a checkerboard counterflow heat exchanger for industrial applications Show Chinese title

Title: 用于工业应用的棋盘式逆流换热器的设计

N. Parolini, V. Covello, A. della Rocca, M. Verani

Comments: 17 pages, 11 figures, 6 tables

Subjects: Numerical Analysis (math.NA)

[18] arXiv:2409.01015 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: On nonlinear magnetic field solvers using local Quasi-Newton updates Show Chinese title

Title: 基于局部拟牛顿更新的非线性磁场求解器

Herbert Egger, Felix Engertsberger, Lukas Domenig, Klaus Roppert, Manfred Kaltenbacher

Subjects: Numerical Analysis (math.NA)

[19] arXiv:2409.01023 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Nonlinear Schwarz methods to compute geodesics on manifolds Show Chinese title

Title: 非线性 Schwarz 方法计算流形上的测地线

Marco Sutti, Tommaso Vanzan

Comments: 8 pages, 4 figures

Subjects: Numerical Analysis (math.NA)

[20] arXiv:2409.01032 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Variable reduction as a nonlinear preconditioning approach for optimization problems Show Chinese title

Title: 变量缩减作为优化问题的非线性预处理方法

Gabriele Ciaremalla, Tommaso Vanzan

Comments: 8 pages. Submitted to the proceedings of the 28th international conference on domain decomposition methods

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

[21] arXiv:2409.01064 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Fourth-order compact finite difference schemes for solving biharmonic equations with Dirichlet boundary conditions Show Chinese title

Title: 四阶紧致有限差分格式用于求解具有狄利克雷边界条件的双调和方程

Kejia Pan, Jin Li, Zhilin Li, Kang Fu

Comments: 14 pages, 2 figures

Subjects: Numerical Analysis (math.NA)

[22] arXiv:2409.01097 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Nested Bregman Iterations for Decomposition Problems Show Chinese title

Title: 嵌套Bregman迭代用于分解问题

Tobias Wolf, Derek Driggs, Kostas Papafitsoros, Elena Resmerita, Carola-Bibiane Schönlieb

Subjects: Numerical Analysis (math.NA)

[23] arXiv:2409.01125 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: IMEX-RK finite volume methods for nonlinear 1d parabolic PDEs. Application to option pricing Show Chinese title

Title: IMEX-RK 有限体积方法用于非线性一维抛物型偏微分方程 应用到期权定价

J. G. López-Salas, M. Suárez-Taboada, M. J. Castro, A. M. Ferreiro-Ferreiro, J. A. García-Rodríguez

Journal-ref: L\'opez-Salas, J.G. et. al. IMEX-RK Finite Volume Methods for Nonlinear 1d Parabolic PDEs. Application to Option Pricing. In: Hyperbolic Problems: Theory, Numerics, Applications. SEMA SIMAI Springer Series, vol 35. Springer, Cham, 2024

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

[24] arXiv:2409.01131 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Second order finite volume IMEX Runge-Kutta schemes for two dimensional parabolic PDEs in finance Show Chinese title

Title: 二维金融抛物型偏微分方程的二阶有限体积IMEX龙格-库塔格式

J. G. López-Salas, M. Suárez-Taboada, M. J. Castro, A. M. Ferreiro-Ferreiro, J. A. García-Rodríguez

Journal-ref: J.G. L\'opez-Salas et. al. Second Order Finite Volume IMEX Runge-Kutta Schemes for Two Dimensional Parabolic PDEs in Finance. Hyperbolic Problems: Theory, Numerics, Applications. SEMA SIMAI Springer Series, vol 35. Springer, Cham, 2024

Subjects: Numerical Analysis (math.NA)

[25] arXiv:2409.01211 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Discrete Laplacians on the hyperbolic space -- a compared study Show Chinese title

Title: 双曲空间上的离散拉普拉斯算子 -- 一项比较研究

Mihai Bucataru, Dragoş Manea

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

[26] arXiv:2409.01215 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: A deep learning-based surrogate model for seismic data assimilation in fault activation modeling Show Chinese title

Title: 基于深度学习的代理模型用于断层激活建模中的地震数据同化

Caterina Millevoi, Claudia Zoccarato, Massimiliano Ferronato

Subjects: Numerical Analysis (math.NA)

[27] arXiv:2409.01433 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Domain Decomposition-based coupling of Operator Inference reduced order models via the Schwarz alternating method Show Chinese title

Title: 基于域分解的通过Schwarz交替方法耦合算子推理降阶模型

Ian Moore, Christopher Wentland, Anthony Gruber, Irina Tezaur

Subjects: Numerical Analysis (math.NA) ; Machine Learning (cs.LG) ; Mathematical Physics (math-ph)

[28] arXiv:2409.01520 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: On the convergence of the pseudospectral approximation of reproduction numbers for age-structured models Show Chinese title

Title: 关于年龄结构模型再生数的伪谱逼近的收敛性

Simone De Reggi, Francesca Scarabel, Rossana Vermiglio

Comments: 22 pages, 7 figures

Subjects: Numerical Analysis (math.NA) ; Dynamical Systems (math.DS)

[29] arXiv:2409.01567 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Convergence of Noise-Free Sampling Algorithms with Regularized Wasserstein Proximals Show Chinese title

Title: 无噪声采样算法与正则化Wasserstein近似点的收敛性

Fuqun Han, Stanley Osher, Wuchen Li

Subjects: Numerical Analysis (math.NA) ; Statistics Theory (math.ST)

[30] arXiv:2409.01759 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Optimal Compactly Supported Functions in Sobolev Spaces Show Chinese title

Title: Sobolev空间中最优紧支函数

Robert Schaback

Subjects: Numerical Analysis (math.NA)

[31] arXiv:2409.01784 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Acceleration of convergence in approximate solutions of Urysohn integral equations with Green's kernels Show Chinese title

Title: 非线性Urysohn积分方程的格林核近似解的收敛加速

Shashank K. Shukla, Gobinda Rakshit

Journal-ref: Mathematics and Computers in Simulation, 240: 681-697 (2026)

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

[32] arXiv:2409.01834 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Nonlinear Modified PageRank Problem for Local Graph Partitioning Show Chinese title

Title: 非线性修改PageRank问题用于局部图划分

Costy Kodsi, Dimosthenis Pasadakis

Subjects: Numerical Analysis (math.NA)

[33] arXiv:2409.01910 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Symmetric Gauss-Seidel Method with a Preconditioned Fixed-Point Iteration for the Steady-State Boltzmann equation Show Chinese title

Title: 对稳态玻尔兹曼方程的预条件固定点迭代的对称高斯-赛德尔方法

Zhenning Cai, Xiaoyu Dong, Jingwei Hu

Subjects: Numerical Analysis (math.NA)

[34] arXiv:2409.01949 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: ELM-FBPINN: efficient finite-basis physics-informed neural networks Show Chinese title

Title: ELM-FBPINN：高效有限基物理信息神经网络

Samuel Anderson, Victorita Dolean, Ben Moseley, Jennifer Pestana

Subjects: Numerical Analysis (math.NA)

[35] arXiv:2409.02005 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Joint Approximate Partial Diagonalization of Large Matrices Show Chinese title

Title: 大型矩阵的联合近似部分对角化

Abd-Krim Seghouane, Yousef Saad

Subjects: Numerical Analysis (math.NA)

[36] arXiv:2409.02027 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Very high-order symmetric positive-interior quadrature rules on triangles and tetrahedra Show Chinese title

Title: 非常高阶对称正内部求积公式在三角形和四面体上

Zelalem Arega Worku, Jason E. Hicken, David W. Zingg

Comments: 17 pages, 6 figures

Subjects: Numerical Analysis (math.NA)

[37] arXiv:2409.02252 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: A virtual element method for a convective Brinkman-Forchheimer problem coupled with a heat equation Show Chinese title

Title: 一种用于耦合热方程的对流Brinkman-Forchheimer问题的虚拟单元方法

Danilo Amigo, Felipe Lepe, Enrique Otarola, Gonzalo Rivera

Subjects: Numerical Analysis (math.NA)

[38] arXiv:2409.02469 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: UAV-Mounted Movable Antenna: Joint Optimization of UAV Placement and Antenna Configuration Show Chinese title

Title: 无人机搭载可移动天线：无人机定位与天线配置的联合优化

Xiao-Wei Tang, Yunmei Shi, Yi Huang, Qingqing Wu

Subjects: Numerical Analysis (math.NA)

[39] arXiv:2409.02552 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Estimation of Cointegration Vectors in Time Series via Global Optimisation Show Chinese title

Title: 通过全局优化的时间序列协整向量估计

Alvey Qianli Lin, Zhiwen Zhang

Subjects: Numerical Analysis (math.NA)

[40] arXiv:2409.02652 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Novel Approach for solving the discrete Stokes problems based on Augmented Lagrangian and Global Techniques: Application to Saddle-Point Linear Systems from Incompressible flow Show Chinese title

Title: 基于增广拉格朗日和全局技术的离散斯托克斯问题的新方法：应用于不可压缩流动的鞍点线性系统

A. Badahmane, A. Ratnani, H. Sadok

Subjects: Numerical Analysis (math.NA)

[41] arXiv:2409.02673 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: A Parareal algorithm without Coarse Propagator? Show Chinese title

Title: 没有粗粒度传播器的并行算法？

Martin J. Gander, Mario Ohlberger, Stephan Rave

Subjects: Numerical Analysis (math.NA)

[42] arXiv:2409.02703 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Online learning of quadratic manifolds from streaming data for nonlinear dimensionality reduction and nonlinear model reduction Show Chinese title

Title: 从流数据中在线学习二次流形以进行非线性降维和非线性模型降维

Paul Schwerdtner, Prakash Mohan, Aleksandra Pachalieva, Julie Bessac, Daniel O'Malley, Benjamin Peherstorfer

Comments: 20 pages, 10 figures

Subjects: Numerical Analysis (math.NA)

[43] arXiv:2409.02810 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: A hybrid FEM-PINN method for time-dependent partial differential equations Show Chinese title

Title: 一种用于时变偏微分方程的混合FEM-PINN方法

Xiaodong Feng, Haojiong Shangguan, Tao Tang, Xiaoliang Wan, Tao Zhou

Comments: 25pages

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

[44] arXiv:2409.02860 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Adaptive and frugal BDDC coarse spaces for virtual element discretizations of a Stokes problem with heterogeneous viscosity Show Chinese title

Title: 自适应且经济的BDDC粗空间用于具有异质粘度的Stokes问题的虚拟元离散化

Tommaso Bevilacqua, Axel Klawonn, Martin Lanser

Subjects: Numerical Analysis (math.NA)

[45] arXiv:2409.03041 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Nonlinear Monolithic Two-Level Schwarz Methods for the Navier-Stokes Equations Show Chinese title

Title: 非线性单片两级Schwarz方法用于Navier-Stokes方程

Axel Klawonn, Martin Lanser

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

[46] arXiv:2409.03079 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: On the backward stability of s-step GMRES Show Chinese title

Title: 关于s步GMRES的后向稳定性

Erin Carson, Yuxin Ma

Comments: 32 pages, 9 figures

Subjects: Numerical Analysis (math.NA)

[47] arXiv:2409.03095 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: On Advanced Monte Carlo Methods for Linear Algebra on Advanced Accelerator Architectures Show Chinese title

Title: 关于在先进加速器架构上用于线性代数的高级蒙特卡罗方法

Anton Lebedev, Vassil Alexandrov

Comments: 10 pages, 8 figures, 2 pages IEEE artifact information, accepted to the 9th Workshop on Latest Advances in Scalable Algorithms for Large-Scale Systems

Journal-ref: 2018 IEEE/ACM 9th Workshop on Latest Advances in Scalable Algorithms for Large-Scale Systems (scalA), Dallas, TX, USA, 2018, pp. 81-90

Subjects: Numerical Analysis (math.NA) ; Distributed, Parallel, and Cluster Computing (cs.DC)

[48] arXiv:2409.03139 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Approximation and application of minimizing movements for surface PDE Show Chinese title

Title: 最小化运动的逼近与应用在表面PDE中

Elliott Ginder, Karel Svadlenka, Takuma Muramatsu

Comments: 54 pages

Subjects: Numerical Analysis (math.NA)

[49] arXiv:2409.03246 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: A priori and a posteriori error bounds for the fully mixed FEM formulation of poroelasticity with stress-dependent permeability Show Chinese title

Title: 先验和后验误差界限用于具有应力依赖渗透率的多孔弹性完全混合有限元公式化

Arbaz Khan, Bishnu P. Lamichhane, Ricardo Ruiz-Baier, Segundo Villa-Fuentes

Subjects: Numerical Analysis (math.NA)

[50] arXiv:2409.03357 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Constrained mock-Chebyshev least squares approximation for Hermite interpolation Show Chinese title

Title: 带约束的拟切比雪夫最小二乘插值 approximation for Hermite interpolation

Francesco Dell'Accio, Francisco Marcellán, Federico Nudo

Subjects: Numerical Analysis (math.NA)