Numerical quadrature
Efficient and accurate numerical quadrature for immersed boundary methods
... Gaussian quadrature based on a spacetree ...2D numerical examples, we will show that optimal convergence rates can be obtained with a nearly optimal number of integration ...
22
Numerical quadrature for the approximation of singular oscillating integrals appearing in boundary integral equations
... the numerical quadrature of an integral with a logarithmic singularity and a cosine oscillator: a modified Filon-Lobatto quadrature for the oscillating parts and an integral transformation based on ...
5
A Survey Of Numerical Quadrature Methods For Highly Oscillatory Integrals
... In this thesis, we examine the main types of numerical quadrature methods for a special subclass of one-dimensional highly oscillatory integrals. Along with a presentation of the methods themselves and the ...
110
Exponential Spectral Risk Measures
... This paper has examined spectral risk measures based on an exponential utility function. We find that the exponential utility function leads to risk-aversion functions and spectral risk measures with intuitive and nicely ...
17
Multistage Numerical Picard Iteration Methods for Nonlinear Volterra Integral Equations of the Second Kind
... by numerical quadrature formulas, we propose a numerical scheme for the second kind nonlinear Volterra integral equa- ...equations. Numerical tests verify the validity of the pro- posed ...
11
Some Ostrowski Type Inequalities for N-Time Differentiable Mappings and Applications
... WANG, Applications of Ostrowski's inequality to the estimation of error bounds for some special means and some numerical quadrature rules, Appl.. PECARIC and A.M[r] ...
17
A companion of Ostrowski's inequality for functions of bounded variation and applications
... Wang, Applications of Ostrowski’s inequality to the estimation of error bounds for some special means and some numerical quadrature rules , Appl. Wang, A new inequality of Ostrowski’s ty[r] ...
9
Length Scales in Bayesian Automatic Adaptive Quadrature
... adaptive quadrature approach to the numerical solution of one-dimensional Riemann integrals ...the numerical quadrature which avoids the overcomputing and minimizes the hidden floating point ...
6
An Ostrowski Type Inequality for Mappings whose Second Derivatives Belong to Lp (A,B) and Applications
... WANG, Applications of Ostrowski's inequality to the estimation of error bounds for some special means and some numerical quadrature rules, Appl. WANG A new inequality of Ostrowski's type[r] ...
10
An Identity for n-time Differentiable Functions and Applications for Ostrowski Type Inequalities
... WANG, Applications of Ostrowski’s inequality to the estimation of error bounds for some special means and some numerical quadrature rules, Appl.. WANG, A new inequality of Ostrowski’s ty[r] ...
8
An Inequality of Ostrowski's Type of Cumulative Distribution Functions
... DRAGOMIR and S.WANG, Applications of Ostrowski’s inequality to the estimation of error bounds for some special means and some numerical quadrature rules, Appl. FINK, Inequalities for Fun[r] ...
10
An adaptive variable order quadrature strategy
... approximation theory [5, 15] (see also [8]), and has been applied with huge success in the context of FEMs for the numerical approximation of differential equations. Indeed, under certain conditions, the judicious ...
12
Solving Singularly Perturbed Differential-Difference Equations using Special Finite Difference Method
... To demonstrate the applicability of the method we have applied it to three linear singular perturbation problems with left-end boundary layer and three linear singular perturbation problems with right-end boundary layer. ...
10
Taylor-Series Expansion Methods for Multivariate Hammerstein Integral Equations
... previously, numerical solutions of the Fred- holm and Volterra integral equations can be approximated by the Galerkin method, the collocation method, the quadrature method such as Nystrom (see, ...the ...
5
Euler Maclaurin Expansions of Errors for Multidimensional Weakly Singular Integrals and Their Splitting Extrapolation Algorithm*
... method [7] [8]. The Gauss-quadrature rules are considered to be a good choice for solving high dimensional integrals because they were accurate for polynomial approximation and the cost is low. However, Gaussian ...
7
A direct method and convergence analysis for some system of singular integro-differential equations
... mechanical quadrature rule applied to SIE (25), it is easy to verify that (as it has been shown in the proof process of Theorem 4) the conditions of Theorem ...
17
Discrete adomian decomposition method for solving fredholm integral equations of the second kind
... and numerical methods use to solve nonlinear FIE as mentioned in the previous section but these analytical solution methods are not easy to use and require tedious ...
19
An Ostrowski Type Inequality for Convex Functions
... All the inequalities in (1.8) are sharp and the constant 1 2 is the best possible. In this paper we establish an Ostrowski type inequality for convex functions. Applications for quadrature rules, for integral ...
12
A Method to Approximate Solution of the First Kind Abel Integral Equation Using Navot's Quadrature and Simpson's Rule
... a numerical method to approximate the solution by using Navot's quadrature and Simpson's ...Navot's quadrature and modify it for the case that there are singularity at both of the endpoints of the ...
11
Survey on the Numerical Methods for ODE's Using the Sequence of Successive Approximations
... the numerical methods for ...the numerical methods for ODE’s was obtained in [1], [5], [17], [20], [21], [22] and ...the numerical methods for ODE’s obtained in the last 30 years can be found in [4], ...
16