Spectral-Galerkin method for second kind VIEs with highly oscillatory kernels of the stationary point
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Publication:6549541
DOI10.1016/j.apnum.2024.02.016MaRDI QIDQ6549541
Publication date: 4 June 2024
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
convergence analysisspectral-Galerkin methodsecond kind VIEs with highly oscillatory kernel possessing the stationary-point oscillator
Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for integral equations, integral transforms (65Rxx) Volterra integral equations (45Dxx)
Cites Work
- Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations
- On Volterra integral operators with highly oscillatory kernels
- A spectral collocation method for a weakly singular Volterra integral equation of the second kind
- The numerical treatment of Love's integral equation having very small parameter
- Analysis of a collocation method for integrating rapidly oscillatory functions
- Efficient Filon-type methods for \(\int_a^b f(x)\,e^{i\omega g(x)}\, dx\)
- A fractional order collocation method for second kind Volterra integral equations with weakly singular kernels
- Efficient methods for Volterra integral equations with highly oscillatory Bessel kernels
- A posteriori error estimates of spectral approximations for second order partial differential equations in spherical geometries
- A fractional spectral collocation for solving second kind nonlinear Volterra integral equations with weakly singular kernels
- Fast, numerically stable computation of oscillatory integrals with stationary points
- Numerical treatment of the generalized Love integral equation
- Oscillation-preserving Legendre-Galerkin methods for second kind integral equations with highly oscillatory kernels
- Generalized Jacobi functions and their applications to fractional differential equations
- Filon--Clenshaw--Curtis Rules for Highly Oscillatory Integrals with Algebraic Singularities and Stationary Points
- An $hp$-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels
- Asymptotic expansion and Filon-type methods for a Volterra integral equation with a highly oscillatory kernel
- Spectral Methods
- Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals
- Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications
- Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering
- On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
- An $h$-$p$ Version of the Continuous Petrov--Galerkin Finite Element Method for Volterra Integro-Differential Equations with Smooth and Nonsmooth Kernels
- Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
- The Construction of cubature rules for multivariate highly oscillatory integrals
- Procedures for Computing One- and Two-Dimensional Integrals of Functions with Rapid Irregular Oscillations
- The Numerical Solution of Integral Equations of the Second Kind
- Computing highly oscillatory integrals
- Efficient quadrature of highly oscillatory integrals using derivatives
- Moment-free numerical integration of highly oscillatory functions
- Quadrature methods for multivariate highly oscillatory integrals using derivatives
- The oscillation of solutions of Volterra integral and integro-differential equations with highly oscillatory kernels
- An efficient spectral-Galerkin method for second kind weakly singular VIEs with highly oscillatory kernels
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