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...

書誌詳細
第一著者:	Olver, S
フォーマット:	Journal article
言語:	English
出版事項:	2007

類似資料

Moment-free numerical integration of highly oscillatory functions
著者:: Olver, S
出版事項: (2006)

Fast, numerically stable computation of oscillatory integrals with stationary points
著者:: Olver, S
出版事項: (2009)

Fast‚ numerically stable computation of oscillatory integrals with stationary points
著者:: Olver, S
出版事項: (2009)

Numerical approximation of vector-valued highly oscillatory integrals
著者:: Olver, S
出版事項: (2007)

Numerical Integration of Highly Oscillatory Functions with and without Stationary Points
著者:: Konstantin P. Lovetskiy, 等
出版事項: (2024-01-01)

Numerical quadrature of highly oscillatory integrals using derivatives
著者:: Olver, S
出版事項: (2007)

Numerical approximation of Volterra integral equations with highly oscillatory kernels
著者:: Suliman Khan
出版事項: (2024-08-01)

Preconditioned GMRES for oscillatory integrals
著者:: Olver, S
出版事項: (2008)

Preconditioned GMRES for oscillatory integrals
著者:: Olver, S
出版事項: (2008)

On the quadrature of multivariate highly oscillatory integrals over non-polytope domains
著者:: Olver, S
出版事項: (2006)

Highly oscillatory quadrature: The story so far
著者:: Iserles, A, 等
出版事項: (2006)

GMRES for oscillatory matrix−valued differential equations
著者:: Olver, S
出版事項: (2009)

GMRES for oscillatory matrix-valued differential equations
著者:: Olver, S
出版事項: (2009)

The Approximate Solution of Fredholm Integral Equations with Oscillatory Trigonometric Kernels
著者:: Qinghua Wu
出版事項: (2014-01-01)

Approximating Stationary Points of Multivalued Generalized Nonexpansive Mappings in Metric Spaces
著者:: Kifayat Ullah, 等
出版事項: (2020-01-01)

New algorithms for approximating oscillatory Bessel integrals with Cauchy-type singularities
著者:: Qinghua Wu, 等
出版事項: (2024-02-01)

Approximate Solution of a Class of Highly Oscillatory Integral Equations Using an Exponential Fitting Collocation Method
著者:: S. Khudhair Abbas, 等
出版事項: (2023-01-01)

Routh's method for approximating oscillatory modes in linearsystems /
著者:: 439158 Shen, D. W. C., 等

Realization and approximation of stationary stochastic processes
著者:: Avniel, Yehuda
出版事項: (2005)

A Collocation Numerical Method for Highly Oscillatory Algebraic Singular Volterra Integral Equations
著者:: SAIRA, 等
出版事項: (2024-01-01)

The numerical solution of oscillatory problems /
著者:: 321522 Baharom Sanugi, 等

Numerical Approximation of Higher-Order Solutions of the Quadratic Nonlinear Stochastic Oscillatory Equation Using WHEP Technique
著者:: Mohamed A. El-Beltagy, 等
出版事項: (2013-01-01)

Parameter estimation methods for non-stationary data using L-moments and TL-moments approaches
著者:: Mat Jan, Nur Amalina
出版事項: (2023)

Parameter estimation methods for non-stationary data using L-moments and TL-moments approaches /
著者:: Nur Amalina Mat Jan, 1989-, author 499367, 等
出版事項: (2021)

Parameter estimation methods for non-stationary data using L-moments and TL-moments approaches /
著者:: Nur Amalina Mat Jan, 1989-, author 499367
出版事項: (2021)

Approximation and the Multidimensional Moment Problem
著者:: Octav Olteanu
出版事項: (2025-01-01)

Optimal Approximations of the Frequency Moments
著者:: Indyk, Piotr, 等
出版事項: (2004)

Optimal Approximations of the Frequency Moments
著者:: Indyk, Piotr, 等
出版事項: (2005)

Numerical approximation for integral equations
著者:: Elias Deeba, 等
出版事項: (2004-01-01)

Integral equation for numerical solution of stationary quantum-mechanical problems
著者:: Sergey Yu. Knyazev
出版事項: (2016-09-01)

Rational Approximations for the Oscillatory Two-Parameter Mittag–Leffler Function
著者:: Aljowhara H. Honain, 等
出版事項: (2024-05-01)

Two-step hybrid numerical integrators for the solutions of highly oscillatory systems of ODEs with fixed step size
著者:: Dauda G. Yakubu, 等
出版事項: (2025-06-01)

Distribution Approximations for Cointegration Tests with Stationary Exogenous Regressors.
著者:: Boswijk, H, 等
出版事項: (1999)

Distribution Approximations for Cointegration Tests with Stationary Exogenous Regressors.
著者:: Boswijk, H, 等
出版事項: (2005)

An approximation scheme for quasi-stationary distributions of killed diffusions
著者:: Wang, A, 等
出版事項: (2019)

Novel bivariate moment-closure approximations
著者:: Krishnarajah, Isthrinayagy, 等
出版事項: (2007)

Model-Based and Model-Free Point Prediction Algorithms for Locally Stationary Random Fields
著者:: Das, Srinjoy, 等
出版事項: (2023)

Generalized Stationary Points and an Interior Point Method for MPEC
著者:: Liu, Xinwei, 等
出版事項: (2003)

An Efficient Quadrature Rule for Highly Oscillatory Integrals with Airy Function
著者:: Guidong Liu, 等
出版事項: (2024-01-01)

Approximation Property of the Stationary Stokes Equations with the Periodic Boundary Condition
著者:: Soon-Mo Jung, 等
出版事項: (2018-01-01)