Cover Image

A Survey on Spherical Designs: Existence, Numerical Constructions, and Applications

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	An, Congpei, Zhuang, Xiaosheng
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Parameter choice strategies for regularized least squares approximation of noisy continuous functions on the unit circle
by: An, Congpei, et al.
Published: (2024)

Spherical Designs for Function Approximation and Beyond
by: Xiao, Yuchen, et al.
Published: (2023)

On the role of weak Marcinkiewicz-Zygmund constants in polynomial approximation by orthogonal bases
by: An, Congpei, et al.
Published: (2026)

Quasi-Monte Carlo hyperinterpolation
by: An, Congpei, et al.
Published: (2025)

Spherical configurations and quadrature methods for integral equations of the second kind
by: An, Congpei, et al.
Published: (2024)

Numerical cubature and hyperinterpolation over Spherical Polygons
by: Sommariva, Alvise
Published: (2024)

How many integrals should be evaluated at least in two-dimensional hyperinterpolation?
by: Che, Maolin, et al.
Published: (2025)

The algebraic structure of hyperinterpolation class on the sphere
by: An, Congpei, et al.
Published: (2024)

A Spherical Crank-Nicolson Integrator Based on the Exponential Map and the Spherical Linear Interpolation
by: Leung, Shingyu
Published: (2025)

Numerical Construction of Quasi-Periodic Solutions Beyond Symplectic Integrators
by: Fu, Mingwei, et al.
Published: (2026)

Adaptive Mesh Construction for the Numerical Solution of Stochastic Differential Equations with Markovian Switching
by: Kelly, Cónall, et al.
Published: (2024)

Regularized Barzilai-Borwein method
by: An, Congpei, et al.
Published: (2022)

Numerical Construction of Elliptic Lower-Dimensional Quasi-Periodic Solutions with a Priori Bound
by: Fu, Mingwei, et al.
Published: (2026)

Numerical Considerations for the Construction of Karhunen-Loève Expansions
by: Safta, Cosmin, et al.
Published: (2026)

Hard thresholding hyperinterpolation over general regions
by: An, Congpei, et al.
Published: (2022)

A Structure-Preserving Numerical Scheme for Optimal Control and Design of Mixing in Incompressible Flows
by: Hu, Weiwei, et al.
Published: (2026)

Data-Driven Filtering of the Spherical Harmonics Method
by: Plumridge, Benjamin, et al.
Published: (2025)

Numerical Approaches for non-local Transport-Dominated PDE Models with Applications to Biology
by: Marguet, Johan, et al.
Published: (2025)

Spherical Authalic Energy Minimization for Area-Preserving Parameterization
by: Liu, Shu-Yung, et al.
Published: (2024)

Sensitivity Analysis on the Sphere and a Spherical ANOVA Decomposition
by: Weidensager, Laura
Published: (2025)

The path of hyperinterpolation: A survey
by: An, Congpei, et al.
Published: (2025)

A Numerical Solution to KPD
by: Cheng, Daizhan
Published: (2026)

Recovery Thresholding Hyperinterpolations in Signal Processing
by: An, Congpei, et al.
Published: (2025)

A Semi-Lagrangian Spherical Essentially Non-Oscillatory (SENO) Scheme for Advection Equations of S2-valued Functions
by: Leung, Shingyu
Published: (2026)

A Technical Survey of Sparse Linear Solvers in Electronic Design Automation
by: Rai, Nityanand
Published: (2025)

A Numerical Approach for Designing Unitary Space Time Codes with Large Diversity
by: Han, Guangyue, et al.
Published: (2002)

Robust Numerical Algebraic Geometry
by: Cobian, Emma R., et al.
Published: (2024)

Numerical Aspects of Hyperbolic Geometry
by: Celinska-Kopczynska, Dorota, et al.
Published: (2024)

Numerical Approximations and Convergence Analysis of Piecewise Diffusion Markov Processes, with Application to Glioma Cell Migration
by: Buckwar, Evelyn, et al.
Published: (2024)

Necessary and Sufficient Conditions for the Existence of an LU Factorization for General Rank Deficient Matrices
by: Darve, Eric
Published: (2026)

Hybrid hyperinterpolation over general regions
by: An, Congpei, et al.
Published: (2023)

Numerical analysis of the stochastic Stefan problem
by: Droniou, Jerome, et al.
Published: (2023)

On the Existence of Steady States for Blended Gas Flow with Non-Constant Compressibility Factor on Networks
by: Göttlich, Simone, et al.
Published: (2026)

Numerical Methods for Shape Optimal Design of Fluid-Structure Interaction Problems
by: Haubner, Johannes, et al.
Published: (2024)

Miniaturization-Oriented Design of Spline-Parameterized UWB Antenna for In-Door Positioning Applications
by: Bekasiewicz, Adrian, et al.
Published: (2025)

Self-Similar Solutions and Global Existence for Nonlinear Reaction-Diffusion Systems in Industrial Ammonia Synthesis
by: Khasanov, Jamshid, et al.
Published: (2026)

Numerical Ranges and Spectral Sets: the unbounded case
by: Crouzeix, Michel
Published: (2025)

Numerical stabilization method by switching time-delay
by: Ammari, Kaïs, et al.
Published: (2024)

Numerical Method for Space-Time Fractional Diffusion: A Stochastic Approach
by: Cui, Tengteng, et al.
Published: (2025)

Numerical Approximation of Electrohydrodynamics Model: A Comparative Study of PINNs and FEM
by: Martinez, Mara, et al.
Published: (2025)