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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 02/10/2026

Tan Phuong Dong Le: Kolmogorov-Arnold Networks for Free-Boundary Partial Differential Equations arxiv.org/abs/2610.02084 arxiv.org/pdf/2610.02084 arxiv.org/html/2610.02084

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 02/10/2026

Rahul Barthwal, Philipp \"Offner, Chetan Singh, Jan Zawallich: Entropy dissipative high order schemes for a hyperbolic model of two-layer thin film flow arxiv.org/abs/2610.02059 arxiv.org/pdf/2610.02059 arxiv.org/html/2610.02059

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 02/10/2026

Hugo Lavenant, Jonas Luckhardt, Bernhard Schmitzer: Approximation and computation of the geodesic Sinkhorn distance arxiv.org/abs/2610.02007 arxiv.org/pdf/2610.02007 arxiv.org/html/2610.02007

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 02/10/2026

Christian Tantardini, Stig Rune Jensen, Roberto Di Remigio Eik{\aa}s, Joakim Henrik Beck: Adaptive Multiresolution Diffusion Operators: A Variational Theory on Evolving Multiresolution Spaces arxiv.org/abs/2610.01809 arxiv.org/pdf/2610.01809 arxiv.org/html/2610.01809

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 02/10/2026

Klaas Willems, Angelo Iollo, Giovanni Russo, Tommaso Taddei: Deterministic and stochastic particle methods for the Fokker-Planck equation in S--formulation with application to point set regis... arxiv.org/abs/2610.01700 arxiv.org/pdf/2610.01700 arxiv.org/html/2610.01700

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 02/10/2026

Peiqi Huang, Erik Burman: An Unfitted Hybrid High-Order Method for the Elastodynamics Problem with Imperfect Interface arxiv.org/abs/2610.01504 arxiv.org/pdf/2610.01504 arxiv.org/html/2610.01504

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 02/10/2026

Daniele Boffi, Kaibo Hu, Yizhou Liang, Umberto Zerbinati: Finite element exterior calculus for spectra and pseudospectra of advection-diffusion of differential forms arxiv.org/abs/2610.01501 arxiv.org/pdf/2610.01501 arxiv.org/html/2610.01501

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 02/10/2026

Philipp Birken, Niklas Kotarsky: Dirichlet--Neumann waveform relaxation for heterogeneous heat equations: fully discrete $l^2$ analysis arxiv.org/abs/2610.01475 arxiv.org/pdf/2610.01475 arxiv.org/html/2610.01475

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 02/10/2026

Stephen Abkin, Prabir Daripa: Sign-Switched Antithetic Coupling for Signed Gradient-Particle Methods arxiv.org/abs/2610.01120 arxiv.org/pdf/2610.01120 arxiv.org/html/2610.01120

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 02/10/2026

Felix Bartel, Alexander D. Gilbert, Michael Griebel, Frances Y. Kuo, Ian H. Sloan: A higher order lattice-based method for high-dimensional numerical integration using periodization arxiv.org/abs/2610.01113 arxiv.org/pdf/2610.01113 arxiv.org/html/2610.01113

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 02/10/2026

Qiong-Ao Huang, Zhi-Hao Liu, Ying-Wei Wang, Li-Na Yan: Positivity-preserving scalar auxiliary variable schemes for gradient flows via a quadratic reformulation arxiv.org/abs/2610.01063 arxiv.org/pdf/2610.01063 arxiv.org/html/2610.01063

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 02/10/2026

Steven Walton, Svetlana Tokareva, Nathaniel Morgan: A Deferred Correction, Continuous Galerkin Method for Curvilinear Staggered-Grid Lagrangian Hydrodynamics arxiv.org/abs/2610.00932 arxiv.org/pdf/2610.00932 arxiv.org/html/2610.00932

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 02/10/2026

Anuj Abhishek, Sean Holman: Uncertainty Quantification for Landweber Iteration with Randomized Normal-Operator Approximation arxiv.org/abs/2610.00882 arxiv.org/pdf/2610.00882 arxiv.org/html/2610.00882

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 02/10/2026

Zeyuan Gao, Cheol W. Lee, Oleg Zikanov: Matrix-Free Moment-Matching Method for Reduced-Order Modeling of Quadratic-Bilinear Descriptor Systems with Multiple Inputs arxiv.org/abs/2610.00830 arxiv.org/pdf/2610.00830 arxiv.org/html/2610.00830

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 02/10/2026

Dimarco, Klar, K\"ofler, Pareschi, Tiwari, Zhou: A relaxation system for the low-Mach limit of kinetic equations: Stability and higher order asymptotic preserving scheme arxiv.org/abs/2610.00811 arxiv.org/pdf/2610.00811 arxiv.org/html/2610.00811

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 02/10/2026

[2026-10-02 Fri (UTC), 16 new articles found for mathNA Numerical Analysis]

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Charlie Pyle, Prabir Daripa: A Fast Nonuniform Solver for the Poisson Equation over a Disk arxiv.org/abs/2609.40344 arxiv.org/pdf/2609.40344 arxiv.org/html/2609.40344

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Najwa Alshehri: A Reduced Coupling-Space Multigrid Schur Preconditioner for Fictitious-Domain Interface Problems arxiv.org/abs/2609.40006 arxiv.org/pdf/2609.40006 arxiv.org/html/2609.40006

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Jun Hu, Shengyang Xu, Hao Zhou: A Pressure-Free Virtual Element Method for the Surface Stokes Problem arxiv.org/abs/2609.39996 arxiv.org/pdf/2609.39996 arxiv.org/html/2609.39996

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Jun Hu, Pengzhan Jin, Shengyang Xu: Exact Representation of Piecewise Polynomial Finite Element Functions by Two-Hidden-Layer Multilayer Perceptrons arxiv.org/abs/2609.39856 arxiv.org/pdf/2609.39856 arxiv.org/html/2609.39856

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Brett R. Green: Exact barycentric rational interpolation of analytic functions with an application to the Bessel functions arxiv.org/abs/2609.39805 arxiv.org/pdf/2609.39805 arxiv.org/html/2609.39805

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Julian Braun, Thomas Hudson: On the linearised force balance condition in the analysis of atomistic dislocation models arxiv.org/abs/2609.39642 arxiv.org/pdf/2609.39642 arxiv.org/html/2609.39642

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Xinyu Cheng, Yunzhang Li, Weiran Xiong: Deep Truncated FBSDE Method: A Robust Solver for High-Dimensional Nonlinear PDEs and Fully Coupled FBSDEs arxiv.org/abs/2609.39616 arxiv.org/pdf/2609.39616 arxiv.org/html/2609.39616

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Santiago Badia, Jordi Manyer, Antoine Marteau: Rotating bases for finite element exterior calculus: closed-form change of basis under vertex permutations arxiv.org/abs/2609.39511 arxiv.org/pdf/2609.39511 arxiv.org/html/2609.39511

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

B. Veena S. N. Rao: Mesh-Free Numerical Approximation of the Biharmonic Equation via Optimized Kolmogorov--Arnold Neural Networks arxiv.org/abs/2609.39469 arxiv.org/pdf/2609.39469 arxiv.org/html/2609.39469

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Shunchang Li, Zixuan Gao, Yujian Jiao, Li-Lian Wang: Well-Conditioned Birkhoff-Collocation Methods for Elliptic-type Problems in Multiple Dimensions arxiv.org/abs/2609.39353 arxiv.org/pdf/2609.39353 arxiv.org/html/2609.39353

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Jana Lungov\'a, Martin Ple\v{s}inger: On bounds for rank growth of iterands in conjugate gradients for Lyapunov equation arxiv.org/abs/2609.39308 arxiv.org/pdf/2609.39308 arxiv.org/html/2609.39308

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Ralf Hielscher, Tim P\"oschl, Erik W\"unsche: Fast and Stable Harmonic Approximation from Ill-distributed Data using Moving Least Squares arxiv.org/abs/2609.39200 arxiv.org/pdf/2609.39200 arxiv.org/html/2609.39200

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Jinhao Yuan, Leyu Chen, Tiegang Liu, Kun Wang: Quantum Frozen--Oseen homotopy analysis method with LCHS for solving nonlinear partial differential equations arxiv.org/abs/2609.39170 arxiv.org/pdf/2609.39170 arxiv.org/html/2609.39170

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Yingli Li, Y. C. Zhou: Structure-preserving Fourier Neural Operators for Long-time Cahn-Hilliard Dynamics under Coarse Temporal Supervision arxiv.org/abs/2609.39053 arxiv.org/pdf/2609.39053 arxiv.org/html/2609.39053

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Bo Lin, Xinran Ruan: A positive-conservative Fourier optimization method for ground states of Bose--Einstein condensates with higher-order interactions arxiv.org/abs/2609.38965 arxiv.org/pdf/2609.38965 arxiv.org/html/2609.38965

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Shubin Fu, Xiang Zhong: A Kernel-Aware Two-Grid Preconditioner for Cell-Centered Nearly Incompressible Elasticity arxiv.org/abs/2609.38871 arxiv.org/pdf/2609.38871 arxiv.org/html/2609.38871

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Liang Li, Jun Zhu, Yong-Tao Zhang: A fully convergent fixed-point fast sweeping method with the WENO-JS local solver for steady state of hyperbolic conservation laws arxiv.org/abs/2609.38841 arxiv.org/pdf/2609.38841 arxiv.org/html/2609.38841

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Simon Foucart, Jingchun Shao: Worst-Case Completion of Tensors with Approximately Few ANOVA Terms arxiv.org/abs/2609.38749 arxiv.org/pdf/2609.38749 arxiv.org/html/2609.38749

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Barak A. Pearlmutter, Jeffrey Mark Siskind: The Mode of Null-A: Compositional Computation of a Generalized Inverse arxiv.org/abs/2609.38497 arxiv.org/pdf/2609.38497 arxiv.org/html/2609.38497

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Yangxin Fu, Yan Jiang, Siyang Wang, Lu Zhang: An energy-based discontinuous Galerkin method for wave equations on complex geometric domains arxiv.org/abs/2609.38378 arxiv.org/pdf/2609.38378 arxiv.org/html/2609.38378

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Kaleigh Rudge, Fadil Santosa: An Approximate Method for Modeling Plasmons on Graphene with Time- and Space-dependent Properties arxiv.org/abs/2609.38370 arxiv.org/pdf/2609.38370 arxiv.org/html/2609.38370

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

Young-Lin Yoo: Moment-based approximation of cell and face integrals in THINC/QQ reconstruction on unstructured grids arxiv.org/abs/2609.38215 arxiv.org/pdf/2609.38215 arxiv.org/html/2609.38215

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 01/10/2026

[2026-10-01 Thu (UTC), 23 new articles found for mathNA Numerical Analysis]

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 30/09/2026

Michal Habera, Paul T. K\"uhner, Matteo Croci, Andreas Zilian: Running error bounds in finite element kernels arxiv.org/abs/2609.37844 arxiv.org/pdf/2609.37844 arxiv.org/html/2609.37844

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 30/09/2026

Gustav Conradie, Matthew J. Colbrook, Daniel Fortunato: Computing Spectral Properties of Differential Operators on Surfaces arxiv.org/abs/2609.37764 arxiv.org/pdf/2609.37764 arxiv.org/html/2609.37764

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 30/09/2026

Juan Pablo Borthagaray, Jos\'e Camilo Rueda Ni\~no: Finite element approximation for the Bessel $(p,s)$-Laplacian arxiv.org/abs/2609.37747 arxiv.org/pdf/2609.37747 arxiv.org/html/2609.37747

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 30/09/2026

Jason Wein, Stephan Wojtowytsch: The double descent and Runge phenomena in overparametrized polynomial interpolation arxiv.org/abs/2609.37657 arxiv.org/pdf/2609.37657 arxiv.org/html/2609.37657

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 30/09/2026

Felipe Lepe, Gonzalo Rivera, Ricardo Ruiz-Baier, Segundo Villa-Fuentes: An augmented mixed finite element method for the Biot problem with nonlinear permeability arxiv.org/abs/2609.37618 arxiv.org/pdf/2609.37618 arxiv.org/html/2609.37618

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 30/09/2026

Claude Le Bris, Fr\'ed\'eric Legoll, Giulia Merlini: Numerical homogenization of a linear multiscale conservation law arxiv.org/abs/2609.37546 arxiv.org/pdf/2609.37546 arxiv.org/html/2609.37546

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 30/09/2026

Shahab, Indahsari, Mukhlash, Susanto: Hybrid Joint-Selective Optimization: Reduced-Space Levenberg-Marquardt Refinement of Low-Dimensional Parameters of Interest arxiv.org/abs/2609.37308 arxiv.org/pdf/2609.37308 arxiv.org/html/2609.37308

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 30/09/2026

D. M. Li, Shang-Tian Yang, Xin Qiu: BandPC: Learning Residual-Band Preconditioner Combinations for Flexible Conjugate Gradient Solvers arxiv.org/abs/2609.37140 arxiv.org/pdf/2609.37140 arxiv.org/html/2609.37140

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arXiv math.NA Numerical Analysis @mathna-bot.bsky.social · 30/09/2026

Emmanuel Agullo, et al.: Mixed-Precision Computing for Scientific Discovery: Formats, Co-Design, and Responsible Approximation arxiv.org/abs/2609.37137 arxiv.org/pdf/2609.37137 arxiv.org/html/2609.37137

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