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A new convergence rate for the quadrature method for solving singular integral equations

Peter Junghanns (1989)

Banach Center Publications

A numerical method for the solution of plane crack problems in finite media.

Theocaris, P.S., Ioakimidis, N. (1980)

International Journal of Mathematics and Mathematical Sciences

A polynomial collocation method for Cauchy singular integral equations over the interval.

Junghanns, P., Rathsfeld, A. (2002)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

A regularization of Fredholm type singular integral equations.

Aliev, N., Hosseini, S.Mohammad (2001)

International Journal of Mathematics and Mathematical Sciences

A Riemann-Hilbert problem with a vanishing coefficient and applications to Toeplitz operators

A. Perälä, J. A. Virtanen, L. Wolf (2013)

Concrete Operators

We study the homogeneous Riemann-Hilbert problem with a vanishing scalar-valued continuous coefficient. We characterize non-existence of nontrivial solutions in the case where the coefficient has its values along several rays starting from the origin. As a consequence, some results on injectivity and existence of eigenvalues of Toeplitz operators in Hardy spaces are obtained.

About a stress deformation condition of a piecewise-uniform wedge with a system of collinear cracks at an antiplane deformation.

Bardzokas, D.I., Gevorgyan, S.H., Mkhitaryan, S.M. (2005)

Mathematical Problems in Engineering

About one two-dimensional special linear integral equation of the third kind.

Shulaia, D. (2005)

Bulletin of TICMI

Analytic solution to a class of integro-differential equations.

Xie, Xuming (2003)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Anwendung der Theorie der Integralgleichungen auf einige Randwertaufgaben der Funktionentheorie

Charles Haseman (1909)

Mathematische Annalen

Application of singular integral equations in the boundary value problems of electroelasticity.

Bitsadze, L. (2002)

Georgian Mathematical Journal

Boundary Value Problem With Shift for two Simply Connected Regions

Boško Damjanović (1997)

Matematički Vesnik

Boundary value problems for analytic and harmonic functions in domains with nonsmooth boundaries. Applications to conformal mappings.

Khuskivadze, Givi, Kokilashvili, Vakhtang, Paatashvili, Vakhtang (1998)

Memoirs on Differential Equations and Mathematical Physics

Boundary value problems of the theory of analytic functions with displacements.

Bantsuri, R. (1999)

Georgian Mathematical Journal

Bounded projections in weighted function spaces in a generalized unit disc

A. H. Karapetyan (1995)

Annales Polonici Mathematici

Let $M_{m, n}$ be the space of all complex m × n matrices. The generalized unit disc in $M_{m, n}$ is >br> $R_{m, n} = Z \in M_{m, n} : I^{(m)} - Z Z * i s p o s i t i v e d e f i n i t e$ . Here $I^{(m)} \in M_{m, m}$ is the unit matrix. If 1 ≤ p < ∞ and α > -1, then $L_{α}^{p} (R_{m, n})$ is defined to be the space $L^{p} R_{m, n}; {[d e t (I^{(m)} - Z Z *)]}^{α} d μ_{m, n} (Z)$ , where $μ_{m, n}$ is the Lebesgue measure in $M_{m, n}$ , and $H_{α}^{p} (R_{m, n}) \subset L_{α}^{p} (R_{m, n})$ is the subspace of holomorphic functions. In [8,9] M. M. Djrbashian and A. H. Karapetyan proved that, if $R e β > (α + 1) / p - 1$ (for 1 < p < ∞) and Re β ≥ α (for p = 1), then $f () = T_{m, n}^{β} (f) (), \in R_{m, n},$ where $T_{m, n}^{β}$ is the integral operator defined by (0.13)-(0.14). In the present paper, given 1 ≤ p <...

Cauchy integral formulas for complex functions

Bosh, W., Krajkiewicz, P. (1971)

Portugaliae mathematica

Collocation methods for Cauchy singular integral equations on the interval.

Junghanns, P., Rogozhin, A. (2004)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Conical diffraction by multilayer gratings: A recursive integral equation approach

Gunther Schmidt (2013)

Applications of Mathematics

The paper is devoted to an integral equation algorithm for studying the scattering of plane waves by multilayer diffraction gratings under oblique incidence. The scattering problem is described by a system of Helmholtz equations with piecewise constant coefficients in $ℝ^{2}$ coupled by special transmission conditions at the interfaces between different layers. Boundary integral methods lead to a system of singular integral equations, containing at least two equations for each interface. To deal with...

Currently displaying 1 – 20 of 118

Page 1 Next

Displaying 1 – 20 of 118

A new convergence rate for the quadrature method for solving singular integral equations

A numerical method for the solution of plane crack problems in finite media.

A polynomial collocation method for Cauchy singular integral equations over the interval.

A regularization of Fredholm type singular integral equations.

A Riemann-Hilbert problem with a vanishing coefficient and applications to Toeplitz operators

About a stress deformation condition of a piecewise-uniform wedge with a system of collinear cracks at an antiplane deformation.

About one two-dimensional special linear integral equation of the third kind.

Analytic solution to a class of integro-differential equations.

Anwendung der Theorie der Integralgleichungen auf einige Randwertaufgaben der Funktionentheorie

Application of singular integral equations in the boundary value problems of electroelasticity.

Boundary Value Problem With Shift for two Simply Connected Regions

Boundary value problems for analytic and harmonic functions in domains with nonsmooth boundaries. Applications to conformal mappings.

Boundary value problems of the theory of analytic functions with displacements.

Bounded projections in weighted function spaces in a generalized unit disc

Cauchy integral formulas for complex functions

Collocation methods for Cauchy singular integral equations on the interval.

Conical diffraction by multilayer gratings: A recursive integral equation approach

Continuité sur les espaces de Hölder et de Sobolev des opérateurs définis par des intégrales singulières

Convergence of cubature-differences method for multidimensional singular integro-differential equations

Direct methods for the solution of singular integral equations with finite number of different zeros in pairwise.

Currently displaying 1 – 20 of 118