Shifted GMRES for oscillatory integrals
From MaRDI portal
Publication:2267767
DOI10.1007/s00211-009-0264-0zbMath1189.65049OpenAlexW1986853328MaRDI QIDQ2267767
Publication date: 2 March 2010
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-009-0264-0
Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical methods for trigonometric approximation and interpolation (65T40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)
Related Items (13)
A simpler GMRES method for oscillatory integrals with irregular oscillations ⋮ Fast, numerically stable computation of oscillatory integrals with stationary points ⋮ A well-conditioned Levin method for calculation of highly oscillatory integrals and its application ⋮ Semi-Infinite Linear Regression and Its Applications ⋮ Analysis and parallel implementation of a forced \(N\)-body problem ⋮ Fast and stable augmented Levin methods for highly oscillatory and singular integrals ⋮ Interpolation and cubature approximations and analysis for a class of wideband integrals on the sphere ⋮ Filon-Clenshaw-Curtis rules for a class of highly-oscillatory integrals with logarithmic singularities ⋮ Numerical inverse scattering for the Korteweg-de Vries and modified Korteweg-de Vries equations ⋮ Oscillation-free solutions to Volterra integral and integro-differential equations with periodic force terms ⋮ Spectral Levin-type methods for calculation of generalized Fourier transforms ⋮ Extended barycentric rational schemes for functions of singularities ⋮ Levin methods for highly oscillatory integrals with singularities
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A high order, progressive method for the evaluation of irregular oscillatory integrals
- A method for numerical integration on an automatic computer
- Arnoldi methods for large Sylvester-like observer matrix equations, and an associated algorithm for partial spectrum assignment
- Efficient Filon-type methods for \(\int_a^b f(x)\,e^{i\omega g(x)}\, dx\)
- A universal solution to one-dimensional oscillatory integrals
- On high precision methods for the evaluation of Fourier integrals with finite and infinite limits
- Computing complex Airy functions by numerical quadrature
- A comparison of some methods for the evaluation of highly oscillatory integrals
- Numerical approximation of vector-valued highly oscillatory integrals
- On quadrature methods for highly oscillatory integrals and their implementation
- GMRES for the Differentiation Operator
- Householder triangularization of a quasimatrix
- Product Integration Rules at Clenshaw-Curtis and Related Points: A Robust Implementation
- On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
- Moment-free numerical approximation of highly oscillatory integrals with stationary points
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Procedures for Computing One- and Two-Dimensional Integrals of Functions with Rapid Irregular Oscillations
- Numerical Evaluation of Fourier Integrals
- On Krylov Subspace Approximations to the Matrix Exponential Operator
- Restarted GMRES for Shifted Linear Systems
- An Extension of MATLAB to Continuous Functions and Operators
- Efficient quadrature of highly oscillatory integrals using derivatives
- Is Gauss Quadrature Better than Clenshaw–Curtis?
- Moment-free numerical integration of highly oscillatory functions
This page was built for publication: Shifted GMRES for oscillatory integrals