Wind-driven currents in a sea with a variable eddy viscosity calculated via a Sinc-Galerkin technique

Winter, Donald F.; Bowers, Kenneth L.; Lund, John

doi:10.1002/1097-0363(20000815)33:7<1041::aid-fld42>3.0.co;2-p

Cited by 24 publications

(13 citation statements)

References 11 publications

(23 reference statements)

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“…The above expressions show Sinc interpolation on B(D E ) converge exponentially [33]. We also require derivatives of composite Sinc functions evaluated at the nodes.…”

Section: And On the Boundary Of D E (Denoted ∂D E ) Satisfymentioning

confidence: 96%

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Numerical Study of Second Painlevé Equation

Saadatmandi¹

2012

Communications in Numerical Analysis

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“…The above expressions show Sinc interpolation on B(D E ) converge exponentially [33]. We also require derivatives of composite Sinc functions evaluated at the nodes.…”

Section: And On the Boundary Of D E (Denoted ∂D E ) Satisfymentioning

confidence: 96%

“…Authors of [24,25] applied Sinc-collocation method for solving Blasius equation and Lane-Emden equation. In [33] wind-driven currents in a sea with a variable Eddy viscosity calculated via a Sinc-Galerkin method. As pointed by [30], there are several reasons to approximate by Sinc functions.…”

Section: Sinc Function Propertiesmentioning

confidence: 99%

Numerical Study of Second Painlevé Equation

Saadatmandi¹

2012

Communications in Numerical Analysis

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“…In the last three decades a variety of numerical methods based on the sinc approximation have been developed. Sinc methods were developed by Stenger [15] and Lund and Bowers [16] and it is widely used for solving a wide range of linear and nonlinear problems arising from scientific and engineering applications including oceanographic problems with boundary layers [17], two-point boundary value problems [18], astrophysics equations [19], Blasius equation [20], Volterras population model [21], Hallens integral equation [22], third-order boundary value problems [23], system of second-order boundary value problems [24], fourth-order boundary value problems [25], heat distribution [26], elastoplastic problem [27], inverse problem [28,29], integrodifferential equation [30], optimal control [15], nonlinear boundary-value problems [31], and multipoint boundary value problems [32]. Very recently authors of [33] used the sinc procedure to solve linear and nonlinear Volterra integral and integrodifferential equations.…”

Section: Introductionmentioning

confidence: 99%

Sinc Collocation Method for Finding Numerical Solution of Integrodifferential Model Arisen in Continuous Mixed Strategy

Shekarabi

2014

Journal of Computational Engineering

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One of the new techniques is used to solve numerical problems involving integral equations and ordinary differential equations known as Sinc collocation methods. This method has been shown to be an efficient numerical tool for finding solution. The construction mixed strategies evolutionary game can be transformed to an integrodifferential problem. Properties of the sinc procedure are utilized to reduce the computation of this integrodifferential to some algebraic equations. The method is applied to a few test examples to illustrate the accuracy and implementation of the method.

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“…Sinc numerical methods have been increasingly recognized as powerful tools for solving a wide range of linear and nonlinear problems arising from scientific and engineering applications including heat transfer [14,22,23], population growth [2], fluid mechanics [34], optimal control [30], inverse problems [15,28] and medical imaging [32]. In particular, they have become very popular in solving initial and boundary value problems of ordinary and partial differential equations including those with Dirichlet, Neuman and other boundary conditions [13,17,26,27].…”

Section: Introductionmentioning

confidence: 99%

Application of the Sinc method to a dynamic elasto-plastic problem

Abdella

Küçük

2009

Journal of Computational and Applied Mathematics

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This paper presents the application of Sinc bases to simulate numerically the dynamic behavior of a one-dimensional elastoplastic problem. The numerical methods that are traditionally employed to solve elastoplastic problems include finite difference, finite element and spectral methods. However, more recently, biorthogonal wavelet bases have been used to study the dynamic response of a uniaxial elasto-plastic rod [Giovanni F. Naldi, Karsten Urban, Paolo Venini, A wavelet-Galerkin method for elastoplasticity problems, Report 181, RWTH Aachen IGPM, and Math. Modelling and Scient. Computing, vol. 10, 2000]. In this paper the Sinc-Galerkin method is used to solve the straight elasto-plastic rod problem. Due to their exponential convergence rates and their need for a relatively fewer nodal points, Sinc based methods can significantly outperform traditional numerical methods [J. Lund, K.L. Bowers, Sinc Methods for Quadrature and Differential Equations, SIAM, Philadelphia, 1992]. However, the potential of Sinc-based methods for solving elastoplasticity problems has not yet been explored. The aim of this paper is to demonstrate the possible application of Sinc methods through the numerical investigation of the unsteady one dimensional elastic-plastic rod problem.

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Wind-driven currents in a sea with a variable eddy viscosity calculated via a Sinc-Galerkin technique

Cited by 24 publications

References 11 publications

Numerical Study of Second Painlevé Equation

Numerical Study of Second Painlevé Equation

Sinc Collocation Method for Finding Numerical Solution of Integrodifferential Model Arisen in Continuous Mixed Strategy

Application of the Sinc method to a dynamic elasto-plastic problem

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