Results 11 to 20 of about 2,690,813 (243)
A note on a family of quadrature formulas and some applications [PDF]
Opuscula Mathematica, 2008 In this paper a construction of a one-parameter family of quadrature formulas is presented. This family contains the classical quadrature formulas: trapezoidal rule, midpoint rule and two-point Gauss rule.
Bogusław Bożek +2 more
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IMA Journal of Numerical Analysis, 1993 This paper is concerned with the stability of (non-confluent) Runge-Kutta methods for solving the pure delay differential equation \[ y'(t)=f(t,y(t- \tau),y(t-2\tau),\dots,y(t-R\tau)),\;t>0, \] where \(\tau>0\) is a constant delay and \(y(t)=\varphi(t)\) on \([-R\tau,0]\). The method is described by a Butcher array and an appropriate natural continuous
TORELLI L., VERMIGLIO, Rossana
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Numerical quadrature methods for singular and nearly singular integrals [PDF]
, 2001 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis is concerned with the development, design, and analysis of simple and efficient numerical quadrature methods for integrals on finite intervals ...
Chunrungsikul, Sumlearng
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Lobatto Type Quadrature Rules for Functions with Bounded Derivative [PDF]
, 1999 Inequalities are obtained for quadrature rules in terms of upper and lower bounds of the first derivative of the integrand. Bounds of Ostrowski type quadrature rules are obtained and the classical Iyengar inequality for the trapezoidal rule is recaptured
Cerone, Pietro, Dragomir, Sever S
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On a Weighted Generalization of Iyengar Type Inequalities Involving Bounded First Derivative [PDF]
, 1999 Inequalities are obtained for weighted integrals in terms of bounds involving the first derivative of the function. Quadrature rules are obtained and the classical Iyengar inequality for the trapezoidal rule is recaptured as a special case when the ...
Cerone, Pietro, Dragomir, Sever S
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On quadrature rules for solving Partial Differential Equations using Neural Networks
Computer Methods in Applied Mechanics and Engineering, 2022 Neural Networks have been widely used to solve Partial Differential Equations. These methods require to approximate definite integrals using quadrature rules. Here, we illustrate via 1D numerical examples the quadrature problems that may arise in these applications and propose different alternatives to overcome them, namely: Monte Carlo methods ...
Rivera, Jon A. +3 more
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Exponential Quadrature Rules for Linear Fractional Differential Equations [PDF]
Mediterranean Journal of Mathematics, 2014 This paper focuses on the numerical solution of initial value problems for fractional differential equations of linear type. The approach we propose grounds on expressing the solution in terms of some integral weighted by a generalized Mittag-Leffler function. Then suitable quadrature rules are devised and order conditions of algebraic type are derived.
Garrappa R., POPOLIZIO, MARINA
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A Perturbed Milne’s Quadrature Rule for n-Times Differentiable Functions with Lp-Error Estimates
Axioms, 2023 In this work, a perturbed Milne’s quadrature rule for n-times differentiable functions with Lp-error estimates is derived. One of the most important advantages of our result is that it is verified for p-variation and Lipschitz functions. Several error estimates involving Lp-bounds are proven.
Ayman Hazaymeh +4 more
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One step multiderivative methods for first order ordinary differential equations [PDF]
, 1981 A family of one-step multiderivative methods based on Padé approximants to the exponential function is developed. The methods are extrapolated and analysed for use in PECE mode.
Khaliq, AQM, Twizell, EH
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, 2019 <p>This is the first stable version of the C implementation of the implicit quadrature rule. Notable features that are included are:</p> <ul> <li>Full support for data of any dimension</li> <li>Preservation of ...
Laurent van den Bos (7107197) +1 more
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