Fractional multistep methods for weakly singular Volterra integral equations of the first kind with perturbed data [PDF]
, 2022 In this paper we consider the regularizing properties of fractional multistep methods for the stable solution of linear weakly singular Volterra integral equations of the first kind with perturbed right-hand ...
Plato, Robert
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Numerical solution of weakly singular Fredholm integral equations via generalization of the Euler–Maclaurin summation formula [PDF]
, 2014 Since the classical Euler–Maclaurin summation formula may not be applied for approximating singular integrals, we can not use this formula for obtaining the numerical solution of weakly singular Fredholm integral equations.
Tohidi, Emran +2 more
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On multi-singular integral equations involving n weakly singular kernels
Filomat, 2018 We deal with some sources of Banach spaces which are closely related to an important issue in applied mathematics i.e. the problem of existence and uniqueness of the solution for the very applicable weakly singular integral equations. In the classical mode, the uniform space (C[a,b], ||.||?) is usually applied to the related discussion ...
Sales, S. M. S. Nabavi, Baghani, O.
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Singularity Preserving Galerkin Methods for Weakly Singular Fredholm Integral Equations
Journal of Integral Equations and Applications, 1994 A singularity preserving projection approximation for the solution of the equation \(y(s) - \int^ 1_ 0 k(s,t) y(t)dt = f(x)\), \(0 \leq s \leq 1\), having an optimal order of convergence, is presented and a numerical example is given to illustrate the numerical accuracy of the current method in comparison with the conventional Galerkin method.
Cao, Yanzhao, Xu, Yuesheng
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Two Numerical Approaches for Nonlinear Weakly Singular Integral Equations
CoRR, 2022 25 pages, 4 figures, 4 ...
Mario Ahues +3 more
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FEBS Open Bio, EarlyView.This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
wiley +1 more source
Solution of a singular integral equation by a split-interval method [PDF]
, 2007 The article is available at http://www.math.ualberta.ca/ijnam/Volume-4-2007/No-1-07/2007-01-05.pdf. This article is not available through the Chester Digital RepositoryThis article discusses a new numerical method for the solution of a singular integral ...
Ford, Neville J. +3 more
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Two Singularity Subtraction Schemes for a Class of Nonlinear Weakly Singular Integral Equations
Numerical Functional Analysis and Optimization, 2022 Singularity subtraction for linear weakly singular Fredholm integral equations of the second kind is generalized to nonlinear integral equations. Two approaches are presented: The Classical Ap proach discretizes the nonlinear problem, and uses some finite dimensional linearization process to solve numerically the discrete problem.
Ahues, M. +3 more
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Heterotropic regulation and negative homotropic cooperativity
FEBS Open Bio, EarlyView.We identified a structural module common to some proteins that couple negative cooperativity with heterotropic regulation, two features that rarely coexist. These proteins are ring‐like and present an ordered asymmetry whereby noncontacting subunits are symmetric, and their tertiary structure differs from that of contacting subunits.
Veronica Morea +5 more
wiley +1 more source
Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation [PDF]
, 2009 A method for constructing the exact quadratures for Müntz and Müntz-logarithmic polynomials is presented. The algorithm does permit to anticipate the precision (machine precision) of the numerical integration of Müntz-logarithmic polynomials in terms of ...
Lombardi, Guido
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