Results 231 to 240 of about 9,176 (267)

Identification of Weakly Singular Memory Kernels in Viscoelasticity

ZAMM, 1998
The authors deal with the problem of identifying an unknown memory kernel \(m:[0,T]\to {\mathbb{R}}\) in the integrodifferential equation \[ \rho D_t^2u(x,t) - \lambda \text{ div} (\beta \nabla u(x,t)) - (m*\text{ div} (\beta \nabla))(x,t) = \gamma(x,t)\qquad (x,t)\in Q=D\times (0,T) \tag{1} \] where \(\lambda \in \{0,1\}\), \(f*g(t)=\int_0^t f(t-s)g(s)
Janno, J., von Wolfersdorf, L.
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Weakly singular stress-BEM for 2D elastostatics

International Journal for Numerical Methods in Engineering, 1999
The authors present a weakly singular stress-BEM in which the linear state regularizing field is extended over the entire surface. The algorithm employs standard \(C(0)\)-elements with Lagrangian interpolations, and uses Gaussian integration without any transformation of integrands other than the usual mapping into the intrinsic space.
Richardson, J. D., Cruse, T. A.
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An efficient quadrature rule for weakly and strongly singular integrals

Applied Mathematics and Computation, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guidong Liu, Shuhuang Xiang
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Quadrature methods for periodic singular and weakly singular Fredholm integral equations

Journal of Scientific Computing, 1988
High-accuracy numerical quadrature methods for integrals of singular periodic functions are proposed. These methods are based on the appropriate Euler-Maclaurin expansions of trapezoidal rule approximations and their extrapolations (Romberg-type integration formulas).
Avram Sidi, Moshe Israeli
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Solution of a class of Volterra integral equations with singular and weakly singular kernels

Applied Mathematics and Computation, 2008
The purpose of the paper is to derive the solution to a Volterra integral equation \[ y(t)=g(t)+\int^t_0\frac{s^{\mu-\nu}}{t^\mu}y(s)\,ds\quad ...
Bao-Qing Tang, Xian-Fang Li
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Evaluation of Weakly Singular Integrals

1980
In a paper by Anselone-Opfer [1] a method for integrating weakly singular functions is investigated, where the emphasis is on convergence results. This method consists of replacing the unbounded function by a bounded function and then applying an ordinary quadrature formula.
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Singular points of weakly holomorphic functions

Bulletin des Sciences Mathématiques, 2016
Let \(A \subseteq \mathbb C^m\) be a locally analytic set. A continuous mapping \(f : A \to \mathbb C^n\) is called \textit{c-holomorphic} if its restriction to the subset \(\text{Reg\,} A\) of regular points is holomorphic, which is equivalent to the graph of \(f\) being a locally analytic subset of \(\mathbb C^m \times \mathbb C^n\).
Cygan, Ewa, Denkowski, Maciej
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Applications to Weakly Singular Integrals

1992
In this chapter, results of numerical experiments on weakly singular integrals arising in three dimensional potential problems are presented.
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Weakly singular perturbations of a discrete spectrum

Soviet Physics Journal, 1989
We consider weakly singular perturbations λ¦x¦−ν ...
V. B. Gostev, A. R. Frenkin
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On Weakly Singular Integral Equations of the Second Kind

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1988
The note is concerned with the numerical solution of Fredholm integral equations \[ \lambda x(t)-\int^{b}_{a}k(t,s)g_{\alpha}(| t- s|)x(s)ds=f(t), \] where f and k are given and smooth and \(g_{\alpha}(r)=r^{\alpha -1 ...
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