Moment-free numerical approximation of highly oscillatory integrals with stationary points

Moment-free numerical approximation of highly oscillatory integrals with stationary points

This article presents a method for the numerical quadrature of highly oscillatory integrals with stationary points. We begin with the derivation of a new asymptotic expansion, which has the property that the accuracy improves as the frequency of oscillations increases. This asymptotic expansion is c...

Cur síos iomlán

Sonraí bibleagrafaíochta
Príomhchruthaitheoir:	Olver, S
Formáid:	Journal article
Teanga:	English
Foilsithe / Cruthaithe:	2007

Míreanna comhchosúla

Moment-free numerical integration of highly oscillatory functions
de réir: Olver, S
Foilsithe / Cruthaithe: (2006)

Fast, numerically stable computation of oscillatory integrals with stationary points
de réir: Olver, S
Foilsithe / Cruthaithe: (2009)

Fast‚ numerically stable computation of oscillatory integrals with stationary points
de réir: Olver, S
Foilsithe / Cruthaithe: (2009)

Numerical approximation of vector-valued highly oscillatory integrals
de réir: Olver, S
Foilsithe / Cruthaithe: (2007)

Numerical Integration of Highly Oscillatory Functions with and without Stationary Points
de réir: Konstantin P. Lovetskiy, et al.
Foilsithe / Cruthaithe: (2024-01-01)

Numerical quadrature of highly oscillatory integrals using derivatives
de réir: Olver, S
Foilsithe / Cruthaithe: (2007)

Numerical approximation of Volterra integral equations with highly oscillatory kernels
de réir: Suliman Khan
Foilsithe / Cruthaithe: (2024-08-01)

Preconditioned GMRES for oscillatory integrals
de réir: Olver, S
Foilsithe / Cruthaithe: (2008)

Preconditioned GMRES for oscillatory integrals
de réir: Olver, S
Foilsithe / Cruthaithe: (2008)

On the quadrature of multivariate highly oscillatory integrals over non-polytope domains
de réir: Olver, S
Foilsithe / Cruthaithe: (2006)

Highly oscillatory quadrature: The story so far
de réir: Iserles, A, et al.
Foilsithe / Cruthaithe: (2006)

GMRES for oscillatory matrix−valued differential equations
de réir: Olver, S
Foilsithe / Cruthaithe: (2009)

GMRES for oscillatory matrix-valued differential equations
de réir: Olver, S
Foilsithe / Cruthaithe: (2009)

The Approximate Solution of Fredholm Integral Equations with Oscillatory Trigonometric Kernels
de réir: Qinghua Wu
Foilsithe / Cruthaithe: (2014-01-01)

Approximating Stationary Points of Multivalued Generalized Nonexpansive Mappings in Metric Spaces
de réir: Kifayat Ullah, et al.
Foilsithe / Cruthaithe: (2020-01-01)

New algorithms for approximating oscillatory Bessel integrals with Cauchy-type singularities
de réir: Qinghua Wu, et al.
Foilsithe / Cruthaithe: (2024-02-01)

Approximate Solution of a Class of Highly Oscillatory Integral Equations Using an Exponential Fitting Collocation Method
de réir: S. Khudhair Abbas, et al.
Foilsithe / Cruthaithe: (2023-01-01)

Routh's method for approximating oscillatory modes in linearsystems /
de réir: 439158 Shen, D. W. C., et al.

Realization and approximation of stationary stochastic processes
de réir: Avniel, Yehuda
Foilsithe / Cruthaithe: (2005)

A Collocation Numerical Method for Highly Oscillatory Algebraic Singular Volterra Integral Equations
de réir: SAIRA, et al.
Foilsithe / Cruthaithe: (2024-01-01)

The numerical solution of oscillatory problems /
de réir: 321522 Baharom Sanugi, et al.

Numerical Approximation of Higher-Order Solutions of the Quadratic Nonlinear Stochastic Oscillatory Equation Using WHEP Technique
de réir: Mohamed A. El-Beltagy, et al.
Foilsithe / Cruthaithe: (2013-01-01)

Parameter estimation methods for non-stationary data using L-moments and TL-moments approaches
de réir: Mat Jan, Nur Amalina
Foilsithe / Cruthaithe: (2023)

Parameter estimation methods for non-stationary data using L-moments and TL-moments approaches /
de réir: Nur Amalina Mat Jan, 1989-, author 499367, et al.
Foilsithe / Cruthaithe: (2021)

Parameter estimation methods for non-stationary data using L-moments and TL-moments approaches /
de réir: Nur Amalina Mat Jan, 1989-, author 499367
Foilsithe / Cruthaithe: (2021)

Approximation and the Multidimensional Moment Problem
de réir: Octav Olteanu
Foilsithe / Cruthaithe: (2025-01-01)

Optimal Approximations of the Frequency Moments
de réir: Indyk, Piotr, et al.
Foilsithe / Cruthaithe: (2004)

Optimal Approximations of the Frequency Moments
de réir: Indyk, Piotr, et al.
Foilsithe / Cruthaithe: (2005)

Numerical approximation for integral equations
de réir: Elias Deeba, et al.
Foilsithe / Cruthaithe: (2004-01-01)

Integral equation for numerical solution of stationary quantum-mechanical problems
de réir: Sergey Yu. Knyazev
Foilsithe / Cruthaithe: (2016-09-01)

Rational Approximations for the Oscillatory Two-Parameter Mittag–Leffler Function
de réir: Aljowhara H. Honain, et al.
Foilsithe / Cruthaithe: (2024-05-01)

Two-step hybrid numerical integrators for the solutions of highly oscillatory systems of ODEs with fixed step size
de réir: Dauda G. Yakubu, et al.
Foilsithe / Cruthaithe: (2025-06-01)

Distribution Approximations for Cointegration Tests with Stationary Exogenous Regressors.
de réir: Boswijk, H, et al.
Foilsithe / Cruthaithe: (1999)

Distribution Approximations for Cointegration Tests with Stationary Exogenous Regressors.
de réir: Boswijk, H, et al.
Foilsithe / Cruthaithe: (2005)

An approximation scheme for quasi-stationary distributions of killed diffusions
de réir: Wang, A, et al.
Foilsithe / Cruthaithe: (2019)

Novel bivariate moment-closure approximations
de réir: Krishnarajah, Isthrinayagy, et al.
Foilsithe / Cruthaithe: (2007)

Model-Based and Model-Free Point Prediction Algorithms for Locally Stationary Random Fields
de réir: Das, Srinjoy, et al.
Foilsithe / Cruthaithe: (2023)

Generalized Stationary Points and an Interior Point Method for MPEC
de réir: Liu, Xinwei, et al.
Foilsithe / Cruthaithe: (2003)

An Efficient Quadrature Rule for Highly Oscillatory Integrals with Airy Function
de réir: Guidong Liu, et al.
Foilsithe / Cruthaithe: (2024-01-01)

Approximation Property of the Stationary Stokes Equations with the Periodic Boundary Condition
de réir: Soon-Mo Jung, et al.
Foilsithe / Cruthaithe: (2018-01-01)