Jacob Linden, Travis Askham, Jeremy Hoskins A Boundary Integral Formulation of an Acoustic Boundary Layer Model in 2D https://arxiv.org/abs/2601.17283

C G Krishnanunni, Jonathan Wittmer, Tan Bui-Thanh, Quoc P. Nguyen A New Look at the Ensemble Kalman Filter for Inverse Problems: Duality, Non-Asymptotic Analysis and Convergence Acceleration https://arxiv.org/abs/2601.17305

Qinghua Wei, Xiaopeng Zhu, Zhongyi Huang The direct-line method for forward and inverse linear elasticity problems of composite materials in general domains with multiple singularities https://arxiv.org/abs/2601.17318

Peiyi Liu, Zhaoqiang Liu, Yiqi Gu Operator splitting based diffusion samplers and improved convergence analysis https://arxiv.org/abs/2601.17375

Francesco Patrizi, Alessandra Sestini An algorithmic approach to direct spline products: procedures and computational aspects https://arxiv.org/abs/2601.17432

Shaoshuai Chu, Michael Herty, Alexander Kurganov, Maria Lukacova-Medviova, Changsheng Yu Numerical Study of Dissipative Weak Solutions for the Euler Equations of Gas Dynamics https://arxiv.org/abs/2601.17452

Zihan Shao, Konstantin Pieper, Xiaochuan Tian Sparse RBF Networks for PDEs and nonlocal equations: function space theory, operator calculus, and training algorithms https://arxiv.org/abs/2601.17562

Haixin Jiang, Xinyu Chen, Liang Chen Sinh regularized Lagrangian nonuniform sampling series https://arxiv.org/abs/2601.17685

Ketan Mittal, Veselin Dobrev, Tzanio Kolev, Vladimir Tomov High-Order Mesh r-Adaptivity with Tangential Relaxation and Guaranteed Mesh Validity https://arxiv.org/abs/2601.17708

Shuai Zhang, Xuelian Jiang, Yingxiang Xu Novel Product Manifold Modeling and Orthogonality-Constrained Neural Network Solver for Parameterized Generalized Inverse Eigenvalue Problems https://arxiv.org/abs/2601.17798

Shuang Hu, Huiteng Li, Zhenning Cai Stability and Convergence of Mixed Finite Elements for Linear Regularized 13-Moment Equations https://arxiv.org/abs/2601.17904

Yaniv Brick, Francesco P. Andriulli, Mats Gustafsson Interpreting Moment Matrix Blocks Spectra using Mutual Shadow Area https://arxiv.org/abs/2601.17965

Yuyuan Zhou, Lorenzo Audibert, Shixu Meng, Bo Zhang A theoretical and computational framework for three dimensional inverse medium scattering using the linearized low-rank structure https://arxiv.org/abs/2601.18016

Junping Wang, Yue Wang A Generalized Weak Galerkin Method for Linear Elasticity with Nonpolynomial Approximations https://arxiv.org/abs/2601.18120

Xiaobin Li, Leevan Ling, Yizhong Sun Trajectory-Based RBF Collocation Method for Surface Advection-Diffusion Equations https://arxiv.org/abs/2601.18186

Haruka Nakamura, Norikazu Saito On the Generalized Conditional Gradient Method for Mean Field Games with Local Coupling Terms https://arxiv.org/abs/2601.18224

Robin Herkert, Tobias Ehring, Bernard Haasdonk Symplecticity-Preserving Prediction of Hamiltonian Dynamics by Generalized Kernel Interpolation https://arxiv.org/abs/2601.18364

Ivan Batistic, Pablo Castrillo, Philip Cardiff A Jacobian-free Newton-Krylov method for high-order cell-centred finite volume solid mechanics https://arxiv.org/abs/2601.18417

Emanuel Pfarr, Radu Timofte, Frank Werner Analyzing the Error of Generative Diffusion Models: From Euler-Maruyama to Higher-Order Schemes https://arxiv.org/abs/2601.18425

Gabriel Barrenechea, Cristian C\'arcamo, Abner Poza A stabilized finite element method for a flow problem arising from 4D flow magnetic resonance imaging https://arxiv.org/abs/2601.18454

Jan Giesselmann, Jens Keim, Fabio Leotta, Christian Rohde Justification of a Relaxation Approximation for the Navier-Stokes-Cahn-Hilliard System https://arxiv.org/abs/2601.18463

Chang Hou, Hu Chen, Jian Wang Pointwise-in-time convergence analysis of an Alikhanov scheme for a 2D nonlinear subdiffusion equation https://arxiv.org/abs/2601.18505

Chen Greif A BFBt preconditioner for Double Saddle-Point Systems https://arxiv.org/abs/2601.18520

Beining Xu, Haijun Yu, Jiayu Zhai, Kejun Tang, Xiaoliang Wan Moving sample method for solving time-dependent partial differential equations https://arxiv.org/abs/2601.18575

Terry Haut, John Loffeld, Lukas Einkemmer, Pierson Guthrey, Stefan Brunner, William Schill Efficient SN-like and PN-like Dynamic Low Rank methods for Thermal Radiative Transfer https://arxiv.org/abs/2601.18705

Ruym\'an Cruz-Barroso, Lidia Fern\'andez, Francisco Marcell\'an A mixed interpolation-regression method for numerical integration on the unit circle using zeros of para-orthogonal polynomials https://arxiv.org/abs/2601.18721

Alberth Silgado, Giuseppe Vacca Divergence-free and mass-conservative virtual element methods for the Navier-Stokes-Cahn-Hilliard system https://arxiv.org/abs/2601.18758

Marco Seiz, Tomohiro Takaki Numerical efficiency of explicit time integrators for phase-field models https://arxiv.org/abs/2601.16522

Jiarui Du, Josef Dick The inverse of the star discrepancy of a union of randomly shifted Korobov rank-1 lattice point sets depends polynomially on the dimension https://arxiv.org/abs/2601.16571

Zhixin Huo A High-resolution Spatiotemporal Coupling Ghost Fluid Method for Two-Dimensional Compressible Multimedium Flows with Source Terms https://arxiv.org/abs/2601.16590

Robert Jendersie, Nils Margenberg, Christian Lessig, Thomas Richter A robust and stable hybrid neural network/finite element method for 2D flows that generalizes to different geometries https://arxiv.org/abs/2601.16598

Jakob S. Stokke, Kundan Kumar, Florin A. Radu Convergent adaptive iterative schemes for solving multi-physics problems https://arxiv.org/abs/2601.16640

Siyuan Lang, Zhiyue Zhang A Predictor Corrector Convex Splitting Method for Stefan Problems Based on Extreme Learning Machines https://arxiv.org/abs/2601.16655

Andrii Dmytryshyn, Froil\'an M. Dopico, Rakel Hellberg Distance to nearest skew-symmetric matrix polynomials of bounded rank https://arxiv.org/abs/2601.16676

Nina Aguillon, Sophie H\"ornschemeyer, Jacques Sainte-Marie Barotropic-Baroclinic Splitting for Multilayer Shallow Water Models with Exchanges https://arxiv.org/abs/2601.16709

Jerome Droniou, Raman Kumar A locking-free nodal-based polytopal method for linear elasticity https://arxiv.org/abs/2601.16728

Matthias Bolten, Lisa Wimmer On the analysis of spectral deferred corrections for differential-algebraic equations of index one https://arxiv.org/abs/2601.16744

Szymon W\k{a}sowicz Adaptive integration of 5-convex and 5-concave functions https://arxiv.org/abs/2601.16796

Antonin Boisneault, Marcella Bonazzoli, Xavier Claeys, Pierre Marchand Discrete FEM-BEM coupling with the Generalized Optimized Schwarz Method https://arxiv.org/abs/2601.16817

Joshua Vedral, Dmitri Kuzmin Cell-vertex WENO schemes with shock-capturing quadrature for high-order finite element discretizations of hyperbolic problems https://arxiv.org/abs/2601.16911

Stefan Schoder Convergence of finite element right-hand-side computation from finite difference data https://arxiv.org/abs/2601.14320

Mathias Dauphin, Daniele A. Di Pietro, J\'er\^ome Droniou, Alexandros Skouras A low-order hybrid method for the variable-density incompressible Navier-Stokes equations https://arxiv.org/abs/2601.14405

Lukas Netterdon, Veronica Montanaro, Manuel Torrilhon, Hossein Gorji Variance Reduction in the Fokker-Planck Particle Method for Rarefied Gases using Quasi-Random Numbers https://arxiv.org/abs/2601.14461

Moustapha Diallo, Zelalem Arega Worku High-Order Symmetric Positive Interior Quadrature Rules on Two and Three Dimensional Domains https://arxiv.org/abs/2601.14488

Mustafa Aggul, Manaure Francisquez, Daniel R. Reynolds, Sylvia Amihere Super Time Stepping Methods for Diffusion using Discontinuous-Galerkin Spatial Discretizations https://arxiv.org/abs/2601.14508

Timo Sprekeler A Cordes framework for stationary Fokker--Planck--Kolmogorov equations https://arxiv.org/abs/2601.14548

Xinjie Fang, Jianhua Huang, Fang Su, Jun Ouyang Finite-dimensional approximations of random attractor for stochastic discrete complex Ginzburg-Landau equations https://arxiv.org/abs/2601.14740

Dimitrios G. Patsatzis, Alessandro Della Pia, Lucia Russo, Constantinos Siettos RANDSMAPs: Random-Feature/multi-Scale Neural Decoders with Mass Preservation https://arxiv.org/abs/2601.14794

Rohit Sunil Kanchi, Sicheng He Modal-Centric Field Inversion via Differentiable Proper Orthogonal Decomposition https://arxiv.org/abs/2601.14858

Paula Hilbert, Ani Mira\c{c}i, Dirk Praetorius Generalized preconditioned conjugate gradients for adaptive FEM with optimal complexity https://arxiv.org/abs/2601.14911