Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Numerical Analysis

Authors and titles for recent submissions

See today's new changes

Total of 97 entries : 1-50 51-97 55-97
Showing up to 50 entries per page: fewer | more | all

Tue, 28 Jan 2025 (continued, showing last 9 of 34 entries )

[55] arXiv:2501.14857 [pdf, html, other]
Title: Image resizing by neural network operators and their convergence rate with respect to the $L^p$-norm and the dissimilarity index defined through the continuous SSIM
Danilo Costarelli, Mariarosaria Natale, Michele Piconi
Subjects: Numerical Analysis (math.NA); Functional Analysis (math.FA)
[56] arXiv:2501.15959 (cross-list from math.AP) [pdf, html, other]
Title: Kinematically incompatible F\"oppl-von K\'arm\'an plates: analysis and numerics
Edoardo Fabbrini, Andrés Alessandro León Baldelli, Pierluigi Cesana
Comments: 24 pages, 18 Figures
Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)
[57] arXiv:2501.15646 (cross-list from cs.LG) [pdf, other]
Title: Mathematical analysis of the gradients in deep learning
Steffen Dereich, Thang Do, Arnulf Jentzen, Frederic Weber
Comments: 38 pages
Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA)
[58] arXiv:2501.15527 (cross-list from math.PR) [pdf, html, other]
Title: Randomised Euler-Maruyama method for SDEs with H\"older continuous drift coefficient
Jianhai Bao, Yue Wu
Subjects: Probability (math.PR); Numerical Analysis (math.NA)
[59] arXiv:2501.15314 (cross-list from physics.comp-ph) [pdf, html, other]
Title: The immersed boundary method: an accelerated SIMPLE approach for moving bodies
Rachel Yovel, Eran Treister, Yuri Feldman
Comments: 22 pages, 10 figures
Subjects: Computational Physics (physics.comp-ph); Numerical Analysis (math.NA)
[60] arXiv:2501.15126 (cross-list from cs.DC) [pdf, html, other]
Title: Fully-Automated Code Generation for Efficient Computation of Sparse Matrix Permanents on GPUs
Deniz Elbek, Kamer Kaya
Subjects: Distributed, Parallel, and Cluster Computing (cs.DC); Discrete Mathematics (cs.DM); Numerical Analysis (math.NA)
[61] arXiv:2501.14870 (cross-list from physics.flu-dyn) [pdf, html, other]
Title: Multi-Fidelity Machine Learning Applied to Steady Fluid Flows
Kazuko W. Fuchi, Eric M. Wolf, David S. Makhija, Christopher R. Schrock, Philip S. Beran
Journal-ref: International Journal of Computational Fluid Dynamics, 36(7), 618-640 (2022)
Subjects: Fluid Dynamics (physics.flu-dyn); Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)
[62] arXiv:2501.14840 (cross-list from math.OC) [pdf, html, other]
Title: Iterative Proximal-Minimization for Computing Saddle Points with Fixed Index
Shuting Gu, Hao Zhang, Xiaoqun Zhang, Xiang Zhou
Comments: arXiv admin note: text overlap with arXiv:2212.08256
Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)
[63] arXiv:2501.14787 (cross-list from math.HO) [pdf, html, other]
Title: Matrix Calculus (for Machine Learning and Beyond)
Paige Bright, Alan Edelman, Steven G. Johnson
Comments: Lecture notes for the MIT short course 18.063 "Matrix Calculus", based on the class as taught in January 2023 (also available on MIT OpenCourseWare)
Subjects: History and Overview (math.HO); Machine Learning (cs.LG); Numerical Analysis (math.NA); Machine Learning (stat.ML)

Mon, 27 Jan 2025 (showing 16 of 16 entries )

[64] arXiv:2501.14715 [pdf, other]
Title: Equal order stabilized finite elements with Nitsche for stationary Navier-Stokes problem with slip boundary conditions : a priori and a posteriori error analysis
Aparna Bansal, Nicolás Barnafi, Rodolfo Araya, Dwijendra Narain Pandey
Subjects: Numerical Analysis (math.NA)
[65] arXiv:2501.14608 [pdf, html, other]
Title: A general correction for numerical integration rules over piece-wise continuous functions
Shipra Mahata, Samala Rathan, Juan Ruiz-Álvarez, Dionisio F. Yáñez
Subjects: Numerical Analysis (math.NA)
[66] arXiv:2501.14599 [pdf, other]
Title: FIAT: enabling classical and modern macroelements
Pablo D. Brubeck, Robert C. Kirby
Subjects: Numerical Analysis (math.NA)
[67] arXiv:2501.14591 [pdf, html, other]
Title: Approximation of Set-Valued Functions with images sets in $\mathbb{R}^d$
Nira Dyn, David Levin
Subjects: Numerical Analysis (math.NA)
[68] arXiv:2501.14536 [pdf, html, other]
Title: Integrating Moving Least Squares with non-linear WENO method: A novel Partition of Unity approach in 1D
Inmaculada Garcés, José M. Ramón, Juan Ruiz-Álvarez, Dionisio F. Yáñez
Subjects: Numerical Analysis (math.NA)
[69] arXiv:2501.14521 [pdf, html, other]
Title: A Space Mapping approach for the calibration of financial models with the application to the Heston model
Anna Clevenhaus, Claudia Totzeck, Matthias Ehrhardt
Comments: 17 pages, 3 figures
Subjects: Numerical Analysis (math.NA); Computational Finance (q-fin.CP)
[70] arXiv:2501.14475 [pdf, html, other]
Title: Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries
Chenyu Zeng, Yanshu Zhang, Jiayi Zhou, Yuhan Wang, Zilin Wang, Yuhao Liu, Lei Wu, Daniel Zhengyu Huang
Comments: 43 pages, 18 pages
Subjects: Numerical Analysis (math.NA)
[71] arXiv:2501.14425 [pdf, other]
Title: Central schemes for systems of non-local balance laws
Sanjibanee Sudha, Jan Friedrich, Samala Rathan
Subjects: Numerical Analysis (math.NA)
[72] arXiv:2501.14704 (cross-list from math.AP) [pdf, html, other]
Title: Stroke classification using Virtual Hybrid Edge Detection from in silico electrical impedance tomography data
Juan Pablo Agnelli, Fernando S. Moura, Siiri Rautio, Melody Alsaker, Rashmi Murthy, Matti Lassas, Samuli Siltanen
Comments: 21 pages, 5 figures
Subjects: Analysis of PDEs (math.AP); Computer Vision and Pattern Recognition (cs.CV); Numerical Analysis (math.NA)
[73] arXiv:2501.14699 (cross-list from physics.flu-dyn) [pdf, html, other]
Title: Acceleration of RANS Solver Convergence via Initialization with Wake Extension Models
Kazuko W. Fuchi, Eric M. Wolf, Christopher R. Schrock, Philip S. Beran
Subjects: Fluid Dynamics (physics.flu-dyn); Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)
[74] arXiv:2501.14636 (cross-list from cs.LG) [pdf, html, other]
Title: A Paired Autoencoder Framework for Inverse Problems via Bayes Risk Minimization
Emma Hart, Julianne Chung, Matthias Chung
Comments: 22 pages, 9 figures
Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA)
[75] arXiv:2501.14598 (cross-list from cs.PL) [pdf, other]
Title: Type-Based Approaches to Rounding Error Analysis
Ariel Eileen Kellison
Comments: PhD thesis. arXiv admin note: text overlap with arXiv:2501.14550
Subjects: Programming Languages (cs.PL); Numerical Analysis (math.NA)
[76] arXiv:2501.14550 (cross-list from cs.PL) [pdf, html, other]
Title: Bean: A Language for Backward Error Analysis
Ariel E. Kellison, Laura Zielinski, David Bindel, Justin Hsu
Subjects: Programming Languages (cs.PL); Logic in Computer Science (cs.LO); Numerical Analysis (math.NA)
[77] arXiv:2501.14527 (cross-list from math.AP) [pdf, html, other]
Title: Diffusive transport on the real line: semi-contractive gradient flows and their discretization
Daniel Matthes, Eva-Maria Rott, André Schlichting
Comments: 26 pages
Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA); Probability (math.PR)
[78] arXiv:2501.14440 (cross-list from cs.LG) [pdf, html, other]
Title: Convergence of gradient based training for linear Graph Neural Networks
Dhiraj Patel, Anton Savostianov, Michael T. Schaub
Comments: 27 pages, 8 figures
Subjects: Machine Learning (cs.LG); Discrete Mathematics (cs.DM); Social and Information Networks (cs.SI); Numerical Analysis (math.NA)
[79] arXiv:2501.14108 (cross-list from math.AP) [pdf, html, other]
Title: Well-Posedness of the R13 Equations Using Tensor-Valued Korn Inequalities
Peter Lewintan, Lambert Theisen, Manuel Torrilhon
Comments: 19 pages, 1 figure
Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA); Numerical Analysis (math.NA)

Fri, 24 Jan 2025 (showing 18 of 18 entries )

[80] arXiv:2501.13822 [pdf, html, other]
Title: An Auto-Stabilized Weak Galerkin Method for Elasticity Interface Problems on Nonconvex Meshes
Chunmei Wang, Shangyou Zhang
Comments: 25 pages, 7 figures, 8 tables
Subjects: Numerical Analysis (math.NA)
[81] arXiv:2501.13781 [pdf, html, other]
Title: A decoupled linear, mass-conservative block-centered finite difference method for the Keller-Segel chemotaxis system
Jie Xu, Hongfei Fu
Subjects: Numerical Analysis (math.NA)
[82] arXiv:2501.13768 [pdf, html, other]
Title: A hybrid Reduced Order Model to enforce outflow pressure boundary conditions in computational haemodynamics
Pierfrancesco Siena, Pasquale Claudio Africa, Michele Girfoglio, Gianluigi Rozza
Subjects: Numerical Analysis (math.NA)
[83] arXiv:2501.13685 [pdf, html, other]
Title: Numerical solutions of random mean square Fisher-KPP models with advection
M.-C. Casabán, R. Company, L. Jódar
Comments: 19 pages, 6 figures, article
Subjects: Numerical Analysis (math.NA)
[84] arXiv:2501.13664 [pdf, html, other]
Title: Three-dimensional multiscale discrete Radon and John transforms
José Marichal-Hernández, Óscar Gómez-Cárdenes, Fernando Rosa, Do Hyung Kim, José M. Rodríguez-Ramos
Journal-ref: Optical Engineering, Vol. 59, Issue 9, 093104 (September 2020)
Subjects: Numerical Analysis (math.NA)
[85] arXiv:2501.13659 [pdf, html, other]
Title: Reduced digital nets
Vishnupriya Anupindi, Peter Kritzer
Comments: arXiv admin note: text overlap with arXiv:2406.10850
Subjects: Numerical Analysis (math.NA)
[86] arXiv:2501.13515 [pdf, html, other]
Title: Structural schemes for hamiltonian systems
Stéphane Clain, Emmanuel Franck, Victor Michel-Dansac
Comments: 35 pages, 7 figures
Subjects: Numerical Analysis (math.NA)
[87] arXiv:2501.13506 [pdf, other]
Title: Inverted finite elements approximation of the Neumann problem for second order elliptic equations in exterior two-dimensional domains
R Belbaki (ENS Kouba-Alger), S K Bhowmik, T Z Boulmezaoud (LMV), N Kerdid (IMSIU), S Mziou (LAMMDA)
Subjects: Numerical Analysis (math.NA)
[88] arXiv:2501.13425 [pdf, html, other]
Title: Higher-order multiscale method and its convergence analysis for nonlinear thermo-electric coupling problems of composite structures
Hao Dong, Zongze Yang, Yufeng Nie
Subjects: Numerical Analysis (math.NA)
[89] arXiv:2501.13283 [pdf, html, other]
Title: STM Image Analysis using Autoencoders
Peter Binev, Joshua Moorehead, Ayush Parambath, Luke Parrella, Rori Pumphrey, Miruna Savu
Comments: 18 pages
Subjects: Numerical Analysis (math.NA)
[90] arXiv:2501.13216 [pdf, html, other]
Title: On a linear DG approximation of chemotaxis models with damping gradient nonlinearities
Daniel Acosta-Soba, Alessandro Columbu, J. Rafael Rodríguez-Galván
Comments: 20 pages, 7 figures
Subjects: Numerical Analysis (math.NA)
[91] arXiv:2501.13853 (cross-list from physics.flu-dyn) [pdf, other]
Title: Effects of Transverse Force on Dusty Fluid Flow over a Linear Stretching Sheet
Subhrajit Kanungo, Pradeep Kumar Tripathy, Tumbanath Samantara
Subjects: Fluid Dynamics (physics.flu-dyn); Numerical Analysis (math.NA)
[92] arXiv:2501.13704 (cross-list from cs.LG) [pdf, other]
Title: A real-time battle situation intelligent awareness system based on Meta-learning & RNN
Yuchun Li, Zihan Lin, Xize Wang, Chunyang Liu, Liaoyuan Wu, Fang Zhang
Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA)
[93] arXiv:2501.13672 (cross-list from math.CA) [pdf, other]
Title: Solutions of differential equations in Freud-weighted Sobolev spaces
Maxime Breden, Hugo Chu
Subjects: Classical Analysis and ODEs (math.CA); Analysis of PDEs (math.AP); Functional Analysis (math.FA); Numerical Analysis (math.NA)
[94] arXiv:2501.13471 (cross-list from math.AP) [pdf, html, other]
Title: Modified approach for linear and non-linear IBVPs with fractional dynamics
Qasim Khan, Anthony Suen
Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)
[95] arXiv:2501.13445 (cross-list from math.OC) [pdf, html, other]
Title: Comments and extensions on "State-equivalent form and minimum-order compensator design for rectangular descriptor systems"
Shuo Shi, Juan Zhang
Comments: 7 pages, 3 figures
Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)
[96] arXiv:2501.13423 (cross-list from math.AP) [pdf, html, other]
Title: General Error Estimates of Non Conforming Approximation of System of Reaction-Diffusion Equations
Yahya Alnashri
Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)
[97] arXiv:2501.13385 (cross-list from cs.LG) [pdf, html, other]
Title: Fast and Provable Tensor-Train Format Tensor Completion via Precondtioned Riemannian Gradient Descent
Fengmiao Bian, Jian-Feng Cai, Xiaoqun Zhang, Yuanwei Zhang
Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA); Optimization and Control (math.OC)
Total of 97 entries : 1-50 51-97 55-97
Showing up to 50 entries per page: fewer | more | all