Cover Image

A Levin method for logarithmically singular oscillatory integrals

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Wang, Yinkun, Xiang, Shuhuang
Format:	Preprint
Published:	2019
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

An accelerated Levin-Clenshaw-Curtis method for the evaluation of highly oscillatory integrals
by: Iserles, Arieh, et al.
Published: (2024)

Polynomial and rational interpolation: potential, barycentric weights, and Lebesgue constants
by: Zhao, Kelong, et al.
Published: (2024)

Optimal asymptotic analyses on Laguerre and Hermite orthogonal approximation for functions of algebraic and logarithmic regularitiesYali
by: Zhang, Yali, et al.
Published: (2026)

On the adaptive Levin method
by: Chen, Shukui, et al.
Published: (2022)

An adaptive Levin method for complicated domains
by: Chen, Shukui, et al.
Published: (2024)

An adaptive delaminating Levin method in two dimensions
by: Chen, Shukui, et al.
Published: (2025)

Computation of highly oscillatory integrals using a Fourier extension approximation
by: Anand, Akash, et al.
Published: (2024)

Gaussian quadrature rules for composite highly oscillatory integrals
by: Wu, Menghan, et al.
Published: (2021)

A filtered finite difference method for a highly oscillatory nonlinear Klein--Gordon equation
by: Shi, Yanyan, et al.
Published: (2025)

The root-exponential convergence of lightning plus polynomial approximation on corner domains
by: Xiang, Shuhuang, et al.
Published: (2024)

Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach
by: Li, Ruo, et al.
Published: (2025)

Exact convergence rates of lightning plus polynomial approximation for branch singularities with uniform exponentially clustered poles
by: Xiang, Shuhuang, et al.
Published: (2025)

Bound preserving and mass conservative methods for the nonlocal Cahn-Hilliard equation with the logarithmic Flory-Huggins potential
by: Wang, Yingying, et al.
Published: (2026)

Explicit error bounds of the SE and DE formulas for integrals with logarithmic and algebraic singularity
by: Okayama, Tomoaki, et al.
Published: (2024)

Computing singular and near-singular integrals over curved boundary elements: The strongly singular case
by: Montanelli, Hadrien, et al.
Published: (2023)

Superiority of stochastic symplectic methods via the law of iterated logarithm
by: Chen, Chuchu, et al.
Published: (2024)

Essentially Non-oscillatory Spectral Volume Methods
by: Klein, Simon-Christian
Published: (2025)

Explaining oscillatory behavior in convection-diffusion discretization
by: Bacuta, Constantin
Published: (2026)

Machine Learning for highly oscillatory differential equations
by: Bouchereau, Maxime
Published: (2026)

Discrete maximal regularity for the discontinuous Galerkin time-stepping method without logarithmic factor
by: Kashiwabara, Takahito, et al.
Published: (2023)

Lower bounds for piecewise polynomial approximations of oscillatory functions
by: Galkowski, Jeffrey
Published: (2022)

A Riemannian optimization method to compute the nearest singular pencil
by: Dopico, Froilán, et al.
Published: (2023)

High-order and Mass-conservative Regularized Implicit-explicit relaxation Runge-Kutta methods for the logarithmic Schrödinger equation
by: Yan, Jingye, et al.
Published: (2024)

Heterogeneous multiscale methods for fourth-order singular perturbations
by: Liao, Yulei, et al.
Published: (2025)

Mapped Hermite Functions and their applications to two-dimensional weakly singular Fredholm-Hammerstein integral equations
by: Wang, Min, et al.
Published: (2024)

Non-oscillatory entropy stable DG schemes for hyperbolic conservation law
by: Liu, Yuchang, et al.
Published: (2024)

A nearly optimal explicitly-sparse representation for oscillatory kernels with curvelet-like functions
by: Cao, Yanchuang, et al.
Published: (2023)

A mean correction for improved phase-averaging accuracy in oscillatory, multiscale, differential equations
by: Andrews, Timothy C., et al.
Published: (2024)

Adaptive feature capture method for solving partial differential equations with near singular solutions
by: Deng, Yangtao, et al.
Published: (2025)

Entropy stable non-oscillatory fluxes: An optimized wedding of entropy conservative flux with non-oscillatory flux
by: Dubey, Ritesh Kumar
Published: (2021)

Numerical integrator for highly oscillatory differential equations based on the Neumann series
by: Perczyński, Rafał, et al.
Published: (2023)

On the best convergence rates of lightning plus polynomial approximations
by: Xiang, Shuhuang, et al.
Published: (2023)

Polynomial approximations for the matrix logarithm with computation graphs
by: Jarlebring, Elias, et al.
Published: (2024)

Quantum simulation of a class of highly-oscillatory transport equations via Schrödingerisation
by: Gu, Anjiao, et al.
Published: (2025)

Strong convergence rate of the positivity-preserving logarithmic truncated EM method for multi-dimensional stochastic differential equations with positive solutions
by: Hu, Xingwei, et al.
Published: (2025)

Taming singular stochastic differential equations: A numerical method
by: Lê, Khoa, et al.
Published: (2021)

Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation
by: Körner, Jannis, et al.
Published: (2023)

Fractional backward spectral approximation theory for weakly singular adjoint integral equations
by: Zaky, Mahmoud A.
Published: (2026)

Error analysis of a collocation method on graded meshes for nonlocal diffusion problems with weakly singular kernels
by: Chen, Minghua, et al.
Published: (2024)

Unconditional and optimal error analysis of two linearized finite difference schemes for the logarithmic Schrödinger equation
by: Wang, Tingchun, et al.
Published: (2025)