Vector alignment in matrix Lie groups
arXiv:2606.30868v3 Announce Type: replace Abstract: Many measurements in physics determine a linear transformation from pairs of input and output vectors, where…
EnglisharXiv cs.NA
最新资讯
言栖资讯收录 191169 篇 AI、开发与建站文章，按发布时间排序，支持搜索与按语言筛选。
Spherical Cap $L_2$ Discrepancy -- Blessing of Dimensionality and a Distance-Kernel Variant
arXiv:2604.21340v2 Announce Type: replace Abstract: We prove a dimension-explicit upper bound for the information-complexity (also called the inverse of the dis…
EnglisharXiv cs.NA
Efficient construction and explicit dimensionality of Lie group-equivariant and permutation-invariant spaces
arXiv:2604.01975v3 Announce Type: replace Abstract: We give a practical construction of functions of $N$ variables that are simultaneously equivariant under a g…
EnglisharXiv cs.NA
Nonlinear compressive reduced basis approximation : when Taylor meets Kolmogorov
arXiv:2601.13712v2 Announce Type: replace Abstract: This paper investigates model reduction methods for efficiently approximating the solution of parameter-depe…
EnglisharXiv cs.NA
Overcoming Spectral Bias via Cross-Attention
arXiv:2512.18586v2 Announce Type: replace Abstract: Neural networks often exhibit spectral bias, a phenomenon where high-frequency components may converge subst…
EnglisharXiv cs.NA
Efficient and Robust Carath\'{e}odory-Steinitz Pruning of Positive Discrete Measures
arXiv:2510.14916v3 Announce Type: replace Abstract: In many applications, one seeks to approximate integration against a positive measure of interest by a posit…
EnglisharXiv cs.NA
Entropy stable finite difference methods via entropy correction artificial viscosity and knapsack limiting
arXiv:2508.21226v3 Announce Type: replace Abstract: Entropy stable methods have become increasingly popular in the field of computational fluid dynamics. They o…
EnglisharXiv cs.NA
Entropy Stable Nodal Discontinuous Galerkin Methods via Quadratic Knapsack Limiting
arXiv:2507.14488v2 Announce Type: replace Abstract: Lin, Chan (High order entropy stable discontinuous Galerkin spectral element methods through subcell limitin…
EnglisharXiv cs.NA
Data-driven discovery of intrinsic Lie point symmetries of differential equation systems
arXiv:2611.08421v1 Announce Type: cross Abstract: Discovering continuous symmetries directly from differential-equation data can reveal geometric structure for …
EnglisharXiv cs.NA
Ignoring Blow-Ups for Approximations
arXiv:2611.08208v1 Announce Type: cross Abstract: It is well known that for SDEs with non-Lipschitz coefficients, the Euler scheme can fail to converge in an Lp…
EnglisharXiv cs.NA
Continuous Space-Time Finite Element Simulations for Biomedical Flows with Large Boundary Motion and Time-Periodicity
arXiv:2611.07822v1 Announce Type: cross Abstract: We present an axisymmetric continuous simplex space-time finite element method for incompressible fluid flow. …
EnglisharXiv cs.NA
A Christov Integrating Factor Method for Approximating Rational PDE Solutions
arXiv:2611.07154v1 Announce Type: cross Abstract: Rational solutions of partial differential equations (PDEs) are notoriously difficult to approximate via spect…
EnglisharXiv cs.NA
Improving the accuracy of the momentum-exchange method in lattice Boltzmann methods
arXiv:2611.07137v1 Announce Type: cross Abstract: In the lattice Boltzmann method (LBM), the momentum-exchange method (MEM) is widely used to evaluate hydrodyna…
EnglisharXiv cs.NA
Eddies that ride the flow: a model of turbulence with Richardson dispersion and anomalous dissipation
arXiv:2611.07121v1 Announce Type: cross Abstract: We construct a divergence-free velocity field $\mathbf{u}(\mathbf{x},t)$ on $\mathbb{T}^{n}$ that is a genuine…
EnglisharXiv cs.NA
Support in the domain of numerical algorithms in the education of future secondary school mathematics teachers
arXiv:2611.06938v1 Announce Type: cross Abstract: This article presents web-based applets designed primarily to educate future mathematics teachers in the field…
EnglisharXiv cs.NA
Preconditioning for the time-dependent Stokes equations: stage-weighted Radau IIA and weighted discontinuous Galerkin time-stepping
arXiv:2611.08429v1 Announce Type: new Abstract: We determine field-of-values equivalent preconditioners for the time-dependent Stokes equations discretized in t…
EnglisharXiv cs.NA
Variably saturated flow on polygonal and cut meshes using a mass-conservative hybrid virtual element
arXiv:2611.08276v1 Announce Type: new Abstract: A hybrid virtual element formulation (HVEM) is presented for transient flow in variably saturated soils governed…
EnglisharXiv cs.NA
A characteristic mapping method for dissipative evolution equations
arXiv:2611.08261v1 Announce Type: new Abstract: The Characteristic Mapping (CM) method is a transport scheme which discretizes the Lagrangian flow map as a comp…
EnglisharXiv cs.NA
Universal Dimension Formula for Planar $C^r$ Splines at Degree $3r+1$
arXiv:2611.08178v1 Announce Type: new Abstract: We prove that Schumaker's lower bound gives the dimension of $S_{3r+1}^r(\Delta)$ for every nondegenerate triang…
EnglisharXiv cs.NA
A Second-Order Semi-Implicit Projection Time-Stepping Scheme for the Shallow-Water Equations on the Sphere Using Compatible Finite Elements
arXiv:2611.08169v1 Announce Type: new Abstract: We propose a second-order, semi-implicit time-stepping scheme for the shallow-water equations on the sphere disc…
EnglisharXiv cs.NA