Results 61 to 70 of about 66,815 (179)

Fast and stable contour integration for high order divided differences via elliptic functions [PDF]

, 2015
In this paper, we will present a new method for evaluating high order divided differences for certain classes of analytic, possibly, operator valued functions.
LOPEZ FERNANDEZ, Maria, S, Sauter
core  

Rational Transformations for Evaluating Singular Integrals by the Gauss Quadrature Rule

Mathematics, 2020
In this work we introduce new rational transformations which are available for numerical evaluation of weakly singular integrals and Cauchy principal value integrals.
Beong In Yun
doaj   +1 more source

2D Vortex Methods and Singular Quadrature Rules [PDF]

Journal of Computational Physics, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Learning Rate of Regularized Regression Associated with Zonal Translation Networks

Mathematics
We give a systematic investigation on the reproducing property of the zonal translation network and apply this property to kernel regularized regression.
Xuexue Ran, Baohuai Sheng, Shuhua Wang
doaj   +1 more source

Multi-Parameter Asymptotic Expansions With Errors for Multi-Dimensional Hypersingular Integrals With Product Type and Splitting Extrapolation

IEEE Access, 2017
This paper presents the modified quadrature rules for 1-D hypersingular integrals, and then constructs the quadrature formulas to numerically evaluate multi-dimensional hypersingular integrals in the form of f .p. f.Ω g(x)/(Πi=1s |xi-ti|1+&#
Yanying Ma, Jin Huang, Changqing Wang
doaj   +1 more source

On quasi degree quadrature rules

Numerische Mathematik, 1982
In this paper we examine quadrature rules $$Qf = \sum\limits_{j = 1}^n {w_j } f(t_j )$$ for the integral $$\int\limits_a^b {w(t)f(t)dt} $$ which are exact for all $$f(t) = t^\lambda (\sqrt {1 + t^2 } )^\mu $$ with ?+μ?d. We specify three distinct families of solutions which have properties not unlike the standard Gauss and Radau quadrature rules.
LYNESS, J.N., Gatteschi, L.
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Stability Analysis and Finite Difference Approximations for a Damped Wave Equation with Distributed Delay

Mathematics
This paper presents a fully implicit finite difference scheme for the numerical approximation of a wave equation featuring strong damping and a distributed delay term. The discretization employs second-order accurate approximations in both time and space.
Manal Alotaibi
doaj   +1 more source

Numerical algorithms for multidimensional time-fractional wave equation of distributed-order with a nonlinear source term

Advances in Difference Equations, 2018
Fractional differential equations (FDEs) of distributed-order are important in depicting the models where the order of differentiation distributes over a certain range.
Jiahui Hu, Jungang Wang, Yufeng Nie
doaj   +1 more source

Forming a mixed Quadrature rule using an anti-Lobatto four point Quadrature rule

, 2016
Abstract A mixed quadrature rule of higher precision for approximate evaluation of real definite integrals has been constructed using an anti-Lobatto rule. The analytical convergence of the rule has been studied. The relative effciencies of the mixed quadrature rule has been shown with the help of suitable test integrals.
Bibhu Prasad Singh, Rajani Ballav Dash
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Derivative-Based Midpoint Quadrature Rule

Applied Mathematics, 2013
A new family of numerical integration formula is presented, which uses the function evaluation at the midpoint of the interval and odd derivatives at the endpoints. Because the weights for the odd derivatives sum to zero, the derivative calculations cancel out for the interior points in the composite form, so that these derivatives must only be ...
Clarence O. E. Burg, Ezechiel Degny
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