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Numerical Analysis

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Total of 99 entries : 1-25 26-50 51-75 76-99
Showing up to 25 entries per page: fewer | more | all

Fri, 21 Jun 2024 (showing first 25 of 28 entries )

[1] arXiv:2406.14557 [pdf, html, other]
Title: Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods
Jan Glaubitz, Hendrik Ranocha, Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Gregor Gassner
Subjects: Numerical Analysis (math.NA)
[2] arXiv:2406.14418 [pdf, html, other]
Title: Worst-Case Learning under a Multi-fidelity Model
Simon Foucart, Nicolas Hengartner
Subjects: Numerical Analysis (math.NA)
[3] arXiv:2406.14405 [pdf, html, other]
Title: Constrained $L^p$ Approximation of Shape Tensors and its Role for the Determination of Shape Gradients
Laura Hetzel, Gerhard Starke
Subjects: Numerical Analysis (math.NA); Optimization and Control (math.OC)
[4] arXiv:2406.14317 [pdf, html, other]
Title: Maximum principle preserving time implicit DGSEM for nonlinear scalar conservation laws
Florent Renac
Comments: 25 pages, 15 figures, 1 table, 55 references
Subjects: Numerical Analysis (math.NA)
[5] arXiv:2406.14168 [pdf, html, other]
Title: An Asymptotic Preserving and Energy Stable Scheme for the Euler System with Congestion Constraint
K.R. Arun, Amogh Krishnamurthy, Harihara Maharana
Subjects: Numerical Analysis (math.NA)
[6] arXiv:2406.14143 [pdf, html, other]
Title: Using the Transport of Intensity and the Transport of Phase Equation for Phase Retrieval
Clemens Kirisits, Kemal Raik, Otmar Scherzer, Christina Strohmenger, Jikai Yan
Subjects: Numerical Analysis (math.NA)
[7] arXiv:2406.14119 [pdf, html, other]
Title: Entropy stable hydrostatic reconstruction schemes for shallow water systems
Patrick Ersing, Sven Goldberg, Andrew R. Winters
Comments: 28 pages, 10 figures, submitted to Journal of Computational Physics
Subjects: Numerical Analysis (math.NA)
[8] arXiv:2406.14065 [pdf, other]
Title: On one-step numerical schemes of weak convergence for SDEs with super-linear coefficients
Yuying Zhao, Xiaojie Wang, Zhongqiang Zhang
Subjects: Numerical Analysis (math.NA); Probability (math.PR)
[9] arXiv:2406.14041 [pdf, other]
Title: Discontinuous Galerkin method for a three-dimensional coupled fluid-poroelastic model with applications to brain fluid mechanics
Ivan Fumagalli
Comments: 22 pages, 8 figures
Subjects: Numerical Analysis (math.NA)
[10] arXiv:2406.13931 [pdf, html, other]
Title: Dissipativeness of the hyperbolic quadrature method of moments for kinetic equations
Ruixi Zhang, Yihong Chen, Qian Huang, Wen-An Yong
Comments: 23 pages
Subjects: Numerical Analysis (math.NA)
[11] arXiv:2406.13872 [pdf, html, other]
Title: Least SQuares Discretizations (LSQD): a robust and versatile meshless paradigm for solving elliptic PDEs
Anna Kucherova, Gbocho M. Terasaki, Selma Strango, Maxime Theillard
Subjects: Numerical Analysis (math.NA)
[12] arXiv:2406.13761 [pdf, html, other]
Title: Exponential time differencing for matrix-valued dynamical systems
Nayef Shkeir, Tobias Schäfer, Tobias Grafke
Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG); Optimization and Control (math.OC)
[13] arXiv:2406.13644 [pdf, html, other]
Title: Kinetic Monte Carlo methods for three-dimensional diffusive capture problems in exterior domains
Alan E. Lindsay, Andrew J. Bernoff
Comments: 32 pages, 10 figures
Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP); Biological Physics (physics.bio-ph); Quantitative Methods (q-bio.QM)
[14] arXiv:2406.13567 [pdf, html, other]
Title: Galerkin Neural Network-POD for Acoustic and Electromagnetic Wave Propagation in Parametric Domains
Philipp Weder, Mariella Kast, Fernando Henríquez, Jan S. Hesthaven
Subjects: Numerical Analysis (math.NA)
[15] arXiv:2406.13566 [pdf, html, other]
Title: Parametric finite element approximation of two-phase Navier--Stokes flow with viscoelasticity
Harald Garcke, Robert Nürnberg, Dennis Trautwein
Subjects: Numerical Analysis (math.NA)
[16] arXiv:2406.13525 [pdf, html, other]
Title: On energy-dissipative finite element approximations for rate-type viscoelastic fluids with stress diffusion
Dennis Trautwein
Subjects: Numerical Analysis (math.NA)
[17] arXiv:2406.13477 [pdf, other]
Title: An extension of the low-rank Lyapunov ADI to non-zero initial values and its applications
Jonas Schulze, Jens Saak
Subjects: Numerical Analysis (math.NA)
[18] arXiv:2406.13437 [pdf, html, other]
Title: MsFEM for advection-dominated problems in heterogeneous media: Stabilization via nonconforming variants
Rutger A. Biezemans, Claude Le Bris, Frédéric Legoll, Alexei Lozinski
Subjects: Numerical Analysis (math.NA)
[19] arXiv:2406.13192 [pdf, html, other]
Title: Recovery of rational functions via Hankel pencil method and sensitivities of the poles
Nadiia Derevianko
Subjects: Numerical Analysis (math.NA)
[20] arXiv:2406.12991 [pdf, html, other]
Title: Variational multirate integrators
Sina Ober-Blöbaum, Theresa Wenger, Tobias Gail, Sigrid Leyendecker
Subjects: Numerical Analysis (math.NA)
[21] arXiv:2406.14495 (cross-list from cs.LG) [pdf, html, other]
Title: rKAN: Rational Kolmogorov-Arnold Networks
Alireza Afzal Aghaei
Comments: The implementations are available at this https URL
Subjects: Machine Learning (cs.LG); Neural and Evolutionary Computing (cs.NE); Numerical Analysis (math.NA)
[22] arXiv:2406.14340 (cross-list from math.OC) [pdf, other]
Title: Learning rate adaptive stochastic gradient descent optimization methods: numerical simulations for deep learning methods for partial differential equations and convergence analyses
Steffen Dereich, Arnulf Jentzen, Adrian Riekert
Comments: 68 pages, 8 figures
Subjects: Optimization and Control (math.OC); Machine Learning (cs.LG); Numerical Analysis (math.NA)
[23] arXiv:2406.14299 (cross-list from math.OC) [pdf, other]
Title: Symplectic Stiefel manifold: tractable metrics, second-order geometry and Newton's methods
Bin Gao, Nguyen Thanh Son, Tatjana Stykel
Comments: 41 pages, 5 figures, 7 tables
Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA); Symplectic Geometry (math.SG); Quantum Physics (quant-ph)
[24] arXiv:2406.14211 (cross-list from math.OC) [pdf, html, other]
Title: Optimization over bounded-rank matrices through a desingularization enables joint global and local guarantees
Quentin Rebjock, Nicolas Boumal
Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)
[25] arXiv:2406.13928 (cross-list from cs.LG) [pdf, html, other]
Title: Optimal deep learning of holomorphic operators between Banach spaces
Ben Adcock, Nick Dexter, Sebastian Moraga
Subjects: Machine Learning (cs.LG); Numerical Analysis (math.NA)
Total of 99 entries : 1-25 26-50 51-75 76-99
Showing up to 25 entries per page: fewer | more | all