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Numerical Analysis

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Total of 90 entries : 1-50 51-90
Showing up to 50 entries per page: fewer | more | all

Fri, 22 Nov 2024 (showing 24 of 24 entries )

[1] arXiv:2411.14409 [pdf, html, other]
Title: Inexact Generalized Golub-Kahan Methods for Large-Scale Bayesian Inverse Problems
Yutong Bu, Julianne Chung
Subjects: Numerical Analysis (math.NA)
[2] arXiv:2411.14399 [pdf, html, other]
Title: DiscoTEX 1.0: Discontinuous collocation and implicit-turned-explicit (IMTEX) integration symplectic, symmetric numerical algorithms with high order jumps for differential equations II: extension to higher-orders of numerical convergence
Lidia J. Gomes Da Silva
Comments: 15 pages, 5 figures, 2 tables. Second paper of a series of papers. See this http URL:2401.08758 for application of these algorithms to numerical black hole perturbation theory. Comments welcomed. arXiv admin note: text overlap with arXiv:2401.08758
Subjects: Numerical Analysis (math.NA); Instrumentation and Methods for Astrophysics (astro-ph.IM); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)
[3] arXiv:2411.14333 [pdf, html, other]
Title: Generalized Finite Difference Method for Solving Stochastic Diffusion Equations
Faezeh Nassajian Mojarrad
Comments: 22 pages
Subjects: Numerical Analysis (math.NA)
[4] arXiv:2411.14332 [pdf, html, other]
Title: Continuous nonlinear adaptive experimental design with gradient flow
Ruhui Jin, Qin Li, Stephen O. Mussmann, Stephen J. Wright
Subjects: Numerical Analysis (math.NA)
[5] arXiv:2411.14315 [pdf, html, other]
Title: Introducing a Harmonic Balance Navier-Stokes Finite Element Solver to Accelerate Cardiovascular Simulations
Dongjie Jia, Mahdi Esmaily
Subjects: Numerical Analysis (math.NA); Fluid Dynamics (physics.flu-dyn)
[6] arXiv:2411.14262 [pdf, html, other]
Title: Accelerating Construction of Non-Intrusive Nonlinear Structural Dynamics Reduced Order Models through Hyperreduction
Alexander Saccani, Paolo Tiso
Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)
[7] arXiv:2411.14226 [pdf, html, other]
Title: Regularization and passivity-preserving model reduction of quasilinear magneto-quasistatic coupled problems
Johanna Kerler-Back, Timo Reis, Tatjana Stykel
Comments: 33 pages, 5 figures
Subjects: Numerical Analysis (math.NA)
[8] arXiv:2411.14151 [pdf, html, other]
Title: Error Analysis of the Deep Mixed Residual Method for High-order Elliptic Equations
Mengjia Bai, Jingrun Chen, Rui Du, Zhiwei Sun
Comments: 40 pages, none figures
Subjects: Numerical Analysis (math.NA)
[9] arXiv:2411.14141 [pdf, html, other]
Title: Differentiable SVD based on Moore-Penrose Pseudoinverse for Inverse Imaging Problems
Yinghao Zhang, Yue Hu
Comments: 11 pages
Subjects: Numerical Analysis (math.NA); Artificial Intelligence (cs.AI); Computer Vision and Pattern Recognition (cs.CV)
[10] arXiv:2411.14084 [pdf, html, other]
Title: Neural numerical homogenization based on Deep Ritz corrections
Mehdi Elasmi, Felix Krumbiegel, Roland Maier
Subjects: Numerical Analysis (math.NA)
[11] arXiv:2411.13957 [pdf, html, other]
Title: Variational Multiscale Evolve and Filter Strategies for Convection-Dominated Flows
Maria Strazzullo, Francesco Ballarin, Traian Iliescu, Tomás Chacón Rebollo
Subjects: Numerical Analysis (math.NA); Fluid Dynamics (physics.flu-dyn)
[12] arXiv:2411.13913 [pdf, html, other]
Title: Generalizing subdiffusive Black-Scholes model by variable exponent: Model transformation and numerical approximation
Meihui Zhang, Mengmeng Liu, Wenlin Qiu, Xiangcheng Zheng
Subjects: Numerical Analysis (math.NA)
[13] arXiv:2411.13906 [pdf, other]
Title: Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder
F.K.J. Niggl
Subjects: Numerical Analysis (math.NA)
[14] arXiv:2411.13772 [pdf, html, other]
Title: A Characteristic Mapping Method with Source Terms: Applications to Ideal Magnetohydrodynamics
Xi-Yuan Yin, Philipp Krah, Jean-Christophe Nave, Kai Schneider
Comments: The preprint has not been revised yet!
Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph); Fluid Dynamics (physics.flu-dyn); Plasma Physics (physics.plasm-ph)
[15] arXiv:2411.13617 [pdf, html, other]
Title: Maximum-norm a posteriori error bounds for parabolic equations discretised by the extrapolated Euler method in time and FEM in space
Torsten Linß, Goran Radojev
Comments: arXiv admin note: substantial text overlap with arXiv:2304.01637, arXiv:2208.08153
Subjects: Numerical Analysis (math.NA)
[16] arXiv:2411.13573 [pdf, other]
Title: Higher-Order Spectral Element Methods for Electromagnetic Modeling of Complex Anisotropic Waveguides
Raul Oliveira Ribeiro
Comments: Ph.D. Thesis in Electrical Engineering at the Pontifical Catholic University of Rio de Janeiro
Journal-ref: Maxwell, PUC-Rio, 2024
Subjects: Numerical Analysis (math.NA); Computational Engineering, Finance, and Science (cs.CE)
[17] arXiv:2411.13571 [pdf, html, other]
Title: A low-rank balanced truncation approach for large-scale RLCk model order reduction based on extended Krylov subspace and a frequency-aware convergence criterion
Christos Giamouzis, Dimitrios Garyfallou, Nestor Evmorfopoulos, George Stamoulis
Comments: arXiv admin note: substantial text overlap with arXiv:2311.08478
Subjects: Numerical Analysis (math.NA); Hardware Architecture (cs.AR); Computational Engineering, Finance, and Science (cs.CE)
[18] arXiv:2411.13569 [pdf, html, other]
Title: Unconditionally stable symplectic integrators for the Navier-Stokes equations and other dissipative systems
Sutthikiat Sungkeetanon, Joseph S. Gaglione, Robert L. Chapman, Tyler M. Kelly, Howard A. Cushman, Blakeley H. Odom, Bryan MacGavin, Gafar A. Elamin, Nathan J. Washuta, Jonathan E. Crosmer, Adam C. DeVoria, John W. Sanders
Comments: 18 pages, 7 figures
Subjects: Numerical Analysis (math.NA); Dynamical Systems (math.DS); Fluid Dynamics (physics.flu-dyn)
[19] arXiv:2411.13561 [pdf, html, other]
Title: Model discovery on the fly using continuous data assimilation
Joshua Newey, Jared P Whitehead, Elizabeth Carlson
Subjects: Numerical Analysis (math.NA); Dynamical Systems (math.DS); Data Analysis, Statistics and Probability (physics.data-an)
[20] arXiv:2411.14143 (cross-list from math.CT) [pdf, html, other]
Title: Volume preservation of Butcher series methods from the operad viewpoint
Vladimir Dotsenko, Paul Laubie
Comments: 25 pages, comments are welcome
Subjects: Category Theory (math.CT); K-Theory and Homology (math.KT); Numerical Analysis (math.NA); Quantum Algebra (math.QA)
[21] arXiv:2411.14093 (cross-list from math.OC) [pdf, html, other]
Title: Desingularization of bounded-rank tensor sets
Bin Gao, Renfeng Peng, Ya-xiang Yuan
Comments: 41 pages, 10 figures, 1 table
Subjects: Optimization and Control (math.OC); Algebraic Geometry (math.AG); Numerical Analysis (math.NA)
[22] arXiv:2411.14031 (cross-list from math.OC) [pdf, html, other]
Title: Numerical null controllability of parabolic PDEs using Lagrangian methods
Enrique Fernandez-Cara, Roberto Morales, Diego A. Souza
Subjects: Optimization and Control (math.OC); Analysis of PDEs (math.AP); Numerical Analysis (math.NA)
[23] arXiv:2411.13848 (cross-list from cs.LG) [pdf, html, other]
Title: Exact and approximate error bounds for physics-informed neural networks
Augusto T. Chantada, Pavlos Protopapas, Luca Gomez Bachar, Susana J. Landau, Claudia G. Scóccola
Comments: 10 pages, 1 figure, accepted to NeurIPS 2024 Workshop on Machine Learning and the Physical Sciences
Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA)
[24] arXiv:2411.13567 (cross-list from math.ST) [pdf, html, other]
Title: Why the p-norms $p{=}1$, $p{=}2$ and $p{=}\infty$ are so special? An answer based on spatial uniformity
Carlos Pinzón
Subjects: Statistics Theory (math.ST); Cryptography and Security (cs.CR); Numerical Analysis (math.NA)

Thu, 21 Nov 2024 (showing 14 of 14 entries )

[25] arXiv:2411.13531 [pdf, html, other]
Title: Space-time model reduction in the frequency domain
Peter Frame, Aaron Towne
Comments: 34 pages, 11 figures
Subjects: Numerical Analysis (math.NA); Fluid Dynamics (physics.flu-dyn)
[26] arXiv:2411.13524 [pdf, other]
Title: Incomplete (even and odd) trigonometric splines in the problems of constructing approximate solutions of second order linear differential equations
Volodymyr Denysiuk, Ludmila Rybachuk
Comments: 9 pages 5 figures
Subjects: Numerical Analysis (math.NA)
[27] arXiv:2411.13487 [pdf, html, other]
Title: Long-term behaviour of symmetric partitioned linear multistep methods I. Global error and conservation of invariants
B. Cano, A. Durán, M. Rodríguez
Subjects: Numerical Analysis (math.NA)
[28] arXiv:2411.13443 [pdf, other]
Title: Nonlinear Assimilation with Score-based Sequential Langevin Sampling
Zhao Ding, Chenguang Duan, Yuling Jiao, Jerry Zhijian Yang, Cheng Yuan, Pingwen Zhang
Subjects: Numerical Analysis (math.NA); Optimization and Control (math.OC); Machine Learning (stat.ML)
[29] arXiv:2411.13341 [pdf, html, other]
Title: Attention-based hybrid solvers for linear equations that are geometry aware
Idan Versano, Eli Turkel
Comments: 22 pages
Subjects: Numerical Analysis (math.NA)
[30] arXiv:2411.13338 [pdf, html, other]
Title: Isogeometric collocation with smooth mixed degree splines over planar multi-patch domains
Mario Kapl, Aljaž Kosmač, Vito Vitrih
Subjects: Numerical Analysis (math.NA)
[31] arXiv:2411.13315 [pdf, html, other]
Title: Leveraging NMF to Investigate Air Quality in Central Taiwan
Shu-Chuan Chen, Jui-Fang Chang, Yintzer Shih
Comments: 25 pages, 29 figures
Subjects: Numerical Analysis (math.NA)
[32] arXiv:2411.13277 [pdf, html, other]
Title: Functional normalizing flow for statistical inverse problems of partial differential equations
Yang Zhao, Haoyu Lu, Junxiong Jia, Tao Zhou
Comments: 52 pages
Subjects: Numerical Analysis (math.NA)
[33] arXiv:2411.13240 [pdf, html, other]
Title: Asymptotic-Preserving schemes for the Boltzmann mixture model with disparate mass
Zhen Hao, Ning Jiang, Liu Liu
Subjects: Numerical Analysis (math.NA)
[34] arXiv:2411.13175 [pdf, html, other]
Title: High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem
Meili Guo, Haiyan Jiang, Tiao Lu, Wenqi Yao
Subjects: Numerical Analysis (math.NA)
[35] arXiv:2411.13067 [pdf, html, other]
Title: A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations
Zexiong Fang, Qing Cheng
Subjects: Numerical Analysis (math.NA)
[36] arXiv:2411.12974 [pdf, html, other]
Title: Data driven learning to enhance a kinetic model of distressed crowd dynamics
Daewa Kim, Demetrio Labate, Kamrun Mily, Annalisa Quaini
Comments: 31 pages, 18 figures
Subjects: Numerical Analysis (math.NA)
[37] arXiv:2411.12884 [pdf, html, other]
Title: The Frenet immersed finite element method for elliptic interface problems: An error analysis
Slimane Adjerid, Tao Lin, Haroun Meghaichi
Subjects: Numerical Analysis (math.NA)
[38] arXiv:2411.13094 (cross-list from math.AP) [pdf, other]
Title: Nonlinear orbital stability of stationary shock profiles for the Lax-Wendroff scheme
Jean-François Coulombel (IMT), Grégory Faye (IMT)
Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

Wed, 20 Nov 2024 (showing first 12 of 19 entries )

[39] arXiv:2411.12726 [pdf, other]
Title: LazyDINO: Fast, scalable, and efficiently amortized Bayesian inversion via structure-exploiting and surrogate-driven measure transport
Lianghao Cao, Joshua Chen, Michael Brennan, Thomas O'Leary-Roseberry, Youssef Marzouk, Omar Ghattas
Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG); Computation (stat.CO); Machine Learning (stat.ML)
[40] arXiv:2411.12687 [pdf, other]
Title: Quantum-assisted h{\lambda}-adaptive finite element method
R. H. Drebotiy, H. A. Shynkarenko
Subjects: Numerical Analysis (math.NA)
[41] arXiv:2411.12679 [pdf, html, other]
Title: CWENO Interpolation for Non-Oscillatory Stochastic Collocation in Uncertainty Quantification Problems
Alina Chertock, Arsen S. Iskhakov, Anna Iskhakova, Alexander Kurganov
Subjects: Numerical Analysis (math.NA)
[42] arXiv:2411.12634 [pdf, html, other]
Title: Quadratic projectable Runge-Kutta methods
Ari Stern, Milo Viviani
Comments: 21 pages
Subjects: Numerical Analysis (math.NA)
[43] arXiv:2411.12601 [pdf, html, other]
Title: Hypergraph $p$-Laplacian equations for data interpolation and semi-supervised learning
Kehan Shi, Martin Burger
Comments: 16 pages
Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG)
[44] arXiv:2411.12467 [pdf, html, other]
Title: On Multilevel Energy-Based Fragmentation Methods
James Barker, Michael Griebel, Jan Hamaekers
Subjects: Numerical Analysis (math.NA)
[45] arXiv:2411.12457 [pdf, html, other]
Title: A $\ell_2-\ell_p$ regulariser based model for Poisson noise removal using augmented Lagrangian method
Abdul Halim, Abdur Rohim
Subjects: Numerical Analysis (math.NA)
[46] arXiv:2411.12443 [pdf, html, other]
Title: Local interaction simulation approach for the acoustic wave equation with perfectly matched layer
Tao Yu, Tailong Jin, Yanfeng Shen, Lei Zhang
Subjects: Numerical Analysis (math.NA)
[47] arXiv:2411.12430 [pdf, html, other]
Title: An Eulerian approach to regularized JKO scheme with low-rank tensor decompositions for Bayesian inversion
Vitalii Aksenov, Martin Eigel
Subjects: Numerical Analysis (math.NA); Optimization and Control (math.OC)
[48] arXiv:2411.12305 [pdf, html, other]
Title: Convergence of the directional diffusion splitting method
R. Drebotiy, H. Shynkarenko
Subjects: Numerical Analysis (math.NA)
[49] arXiv:2411.12153 [pdf, html, other]
Title: Wavelet s-Wasserstein distances for 0 < s <= 1
Katy Craig, Haoqing Yu
Subjects: Numerical Analysis (math.NA); Optimization and Control (math.OC)
[50] arXiv:2411.12090 [pdf, html, other]
Title: Hardware Trends Impacting Floating-Point Computations In Scientific Applications
Jack Dongarra, John Gunnels, Harun Bayraktar, Azzam Haidar, Dan Ernst
Subjects: Numerical Analysis (math.NA)
Total of 90 entries : 1-50 51-90
Showing up to 50 entries per page: fewer | more | all