Found 105 Documents (Results 1–100)
The solution of a hypersingular integral equation occurring in potential problems over an elliptic disc by a spectral method. (English) Zbl 1543.45003
Reviewer: David Kapanadze (Tbilisi)
An integration by parts formula for the bilinear form of the hypersingular boundary integral operator for the transient heat equation in three spatial dimensions. (English) Zbl 1491.35263
On the solution of a class of integral equations using new weighted convolutions. (English) Zbl 1493.45004
Reviewer: Alexander N. Tynda (Penza)
Some new weakly singular nonlinear integral inequalities and their application. (English) Zbl 1498.26060
Uniqueness of the partial integro-differential equations. (English) Zbl 1501.45010
Reviewer: Vincenzo Vespri (Firenze)
Raising the regularity of generalized Abel equations in fractional Sobolev spaces with homogeneous boundary conditions. (English) Zbl 1491.45001
Mixed impedance boundary value problems for the Laplace-Beltrami equation. (English) Zbl 1454.35128
Reviewer: Vicenţiu D. Rădulescu (Craiova)
Polyconvolution of Hartley integral transforms \(H_2\) and integral equations. (English) Zbl 1478.44006
Reviewer: Osman Yürekli (Ithaca)
Solvability and uniform local attractivity for a Volterra equation of convolution type. (English) Zbl 1435.45001
Reviewer: Dazmir Shulaia (Tbilisi)
Central part interpolation schemes for integral equations with singularities. (English) Zbl 1376.65158
Numerical approximation of first kind Volterra convolution integral equations with discontinuous kernels. (English) Zbl 1361.65101
On the half-Hartley transform, its iteration and compositions with Fourier transforms. (English) Zbl 1307.44008
Fast singularity preserving methods for integral equations with non-smooth solutions. (English) Zbl 1256.65104
Reviewer: I. V. Boikov (Penza)
Applications of generalized convolutions associated with the Fourier and Hartley transforms. (English) Zbl 1238.44003
A class of integral equations and index transformations related to the modified and incomplete Bessel functions. (English) Zbl 1191.45003
Reviewer: Seenith Sivasundaram (Daytona Beach)
The generalized Euler-Maclaurin formula for the numerical solution of Abel-type integral equations. (English) Zbl 1202.65180
Reviewer: Pat Lumb (Chester)
Fast collocation methods for high-dimensional weakly singular integral equations. (English) Zbl 1144.65084
Reviewer: Gunther Schmidt (Berlin)
Solution of the generalized Abel integral equation. (English) Zbl 1148.45001
Reviewer: D. O’Regan (Galway)
MSC:
45E10
Superconvergence of the iterated hybrid collocation method for weakly singular Volterra integral equations. (English) Zbl 1141.65091
A fast wavelet collocation method for integral equations on polygons. (English) Zbl 1104.65132
Reviewer: Zhang Wanguo (Shanghai)
On the analytical solutions of two singular integral equations with Hilbert kernels. (English) Zbl 1088.45002
Reviewer: Yuri I. Karlovich (Cuernavaca)
The finite Laplace transform for solving a weakly singular integral equation occurring in transfer theory. (English) Zbl 1087.45001
Reviewer: Zbigniew Binderman (Warszawa)
Nonstationary waveform relaxation methods for Abel integral equations. (English) Zbl 1081.65125
Reviewer: I. V. Boikov (Penza)
Positive-definiteness, integral equations and Fourier transforms. (English) Zbl 1087.45006
Reviewer: Zbigniew Binderman (Warszawa)
Superconvergence in the maximum norm of a class of piecewise polynomial collocation methods for solving linear weakly singular Volterra integro-differential equations. (English) Zbl 1065.65148
Reviewer: Lechoslaw Hącia (Poznań)
Explicit solution of a Dirichlet-Neumann wedge diffraction problem with a strip. (English) Zbl 1069.47073
Reviewer: Davide Guidetti (Bologna)
Fredholmness of singular integral operators with piecewise continuous coefficients on weighted Banach function spaces. (English) Zbl 1044.45004
Reviewer: Nikolai K. Karapetyants (Rostov-na-Donu)
Regularization of integral equations in spaces of distributions. (English) Zbl 1041.45004
Reviewer: Alexei Yu. Karlovich (Lisboa)
Solvability and spectral properties of integral equations on the real line. II: \(L^p\)-spaces and applications. (English) Zbl 1043.45001
A generalized collectively compact operator theory with an application to integral equations on unbounded domains. (English) Zbl 1055.47017
Reviewer: Boris Rubin (Baton Rouge)
The finite-section approximation for ill-posed integral equations on the half-line. (English) Zbl 1041.65111
Numerical analysis of an unbounded operator arising from an electro-magnetic interior scattering problem. (English) Zbl 1007.65111
Reviewer: Gunther Schmidt (Berlin)
Asymptotic error analysis of a quadrature method for integral equations with Green’s function kernels. (English) Zbl 0978.65126
Reviewer: Hu Chuangan (Tianjin)
A Galerkin-wavelet method for a singular convolution equation on the real line. (English) Zbl 0986.65138
Reviewer: Hermann Brunner (St.John’s)
On the characterization of self-regularization properties of a fully discrete projection method for Symm’s integral equation. (English) Zbl 0982.65141
Reviewer: Zhang Wanguo (Shanghai)
Partially-coupled integral equations for a dynamic fracture problem in coupled thermoelasticity. (English) Zbl 0999.74097
Reviewer: Søren Christiansen (Lyngby)
On the Fredholm indices of associated systems of Wiener-Hopf equations. (English) Zbl 0991.47012
Reviewer: L.Hącia (Poznań)
Deconvolution using Meyer wavelets. (English) Zbl 0978.65122
Reviewer: Manfred Tasche (Rostock)
The discrete Petrov-Galerkin method for weakly singular integral equations. (English) Zbl 0974.65122
A wavelet algorithm for the solution of a singular integral equation over a smooth two-dimensional manifold. (English) Zbl 0923.65082
Reviewer: Nikolay Yakovlevich Tikhonenko (Odessa)
Approximation and commutator properties of projections onto shift-invariant subspaces and applications to boundary integral equations. (English) Zbl 0921.41004
Reviewer: I.Badea (Craiova)
A sinc quadrature method for the double-layer integral equation in planar domains with corners. (English) Zbl 0916.65135
Reviewer: I.V.Boikov (Penza)
The collocation method for solving the radiosity equation for unoccluded surfaces. (English) Zbl 0914.65137
Reviewer: Nikolay Yakovlevich Tikhonenko (Odessa)
BPX preconditioner for hypersingular integral equations. (English) Zbl 0916.65136
Reviewer: W.Heinrichs (Essen)
Resolvent estimates for Abel integral operators and the regularization of associated first kind integral equations. (English) Zbl 0904.65136
Reviewer: R.Gorenflo (Berlin)
Symm’s log kernel integral operators. (English) Zbl 0895.45002
Reviewer: N.K.Karapetyants (Rostov-na-Donu)
MSC:
45E10
Quadratures for boundary integral equations of the first kind with logarithmic kernels. (English) Zbl 0888.65122
Reviewer: O.Titow (Berlin)
The \(hp\)-version of the boundary element method on polygons. (English) Zbl 0888.65121
Reviewer: O.Titow (Berlin)
Approximate methods for singular integral equations with a non-Carleman shift. (English) Zbl 0860.65133
Reviewer: J.Kofroň (Praha)
Localization and post processing for the Galerkin boundary element method applied to three-dimensional screen problems. (English) Zbl 0881.65139
Reviewer: Hu Chuangan (Tianjin)
On a Wiener-Hopf integral equation. (English) Zbl 0849.45001
Reviewer: N.K.Karapetyants (Rostov-na-Donu)
On the inverse of integral operators with kernel operators. (English) Zbl 0854.45005
Reviewer: L.Hącia (Poznań)
Asymptotic behaviour at infinity of solutions of multidimensional second kind integral equations. (English) Zbl 0845.45004
Reviewer: Z.Binderman (Warszawa)
Dirichlet convolutions inverses and solution of integral equations. (English) Zbl 0839.45003
Reviewer: B.Rubin (Jerusalem)
Fully-discrete collocation methods for an integral equation of the first kind. (English) Zbl 0839.65147
Reviewer: G.Schmidt (Berlin)
Existence, uniqueness and smoothness results for second-kind Volterra equations with weakly singular kernels. (English) Zbl 0820.45003
Reviewer: G.Gripenberg (Helsinki)
Fast numerical solution of singular integral equations. (English) Zbl 0819.65140
Reviewer: Hu Chuangan (Tianjin)
Singularity preserving Galerkin methods for weakly singular Fredholm integral equations. (English) Zbl 0819.65139
Reviewer: Hu Chuangan (Tianjin)
Pseudospectra and singular values of large convolution operators. (English) Zbl 0819.45002
Reviewer: N.K.Karapetyants (Rostov-na-Donu)
On asymptotic behavior at infinity and the finite section method for integral equations on the half-line. (English) Zbl 0809.45002
Reviewer: J.Burbea (Pittsburgh)
Two remarks on spectral approximations for Wiener-Hopf operators. (English) Zbl 0809.45003
Reviewer: N.K.Karapetyants (Rostov-na-Donu)
A modified discrete spectral collocation method for first kind integral equations with logarithmic kernel. (English) Zbl 0803.65136
Reviewer: L.Hącia (Poznań)
Regularized solutions of a Cauchy problem for the Laplace equation in an irregular strip. (English) Zbl 0801.65092
Reviewer: I.Evzerov (Kiev)
A Nyström method for boundary integral equations on domains with a piecewise smooth boundary. (English) Zbl 0780.65071
A fully-discrete trigonometric collocation method. (English) Zbl 0781.65094
Reviewer: C.I.Gheorghiu (Cluj-Napoca)
The \(h-p\)-version of spline approximation methods for Mellin convolution equations. (English) Zbl 0781.65103
Reviewer: Hu Chuangan (Tianjin)
The numerical solution of the generalized airfoil equation. (English) Zbl 0762.65091
Reviewer: J.Elschner (Berlin)
A rectangular quadrature method for logarithmically singular integral equations of the first kind. (English) Zbl 0764.65083
Reviewer: H.Brunner (St.John’s)
The structure of algebras of singular integral operators. (English) Zbl 0769.47007
Reviewer: R.Duduchava (Tbilisi)
Wiener-Hopf-Hankel operators for some wedge diffraction problems with mixed boundary conditions. (English) Zbl 0756.45005
Reviewer: Z.Binderman (Warszawa)
On the behaviour at infinity of solutions of integral equations on the real line. (English) Zbl 0756.45004
Reviewer: Z.Binderman (Warszawa)
An unconventional quadrature method for logarithmic-kernel integral equations on closed curves. (English) Zbl 0760.65131
Reviewer: M.Schleiff (Halle)
On noncompact Hammerstein integral equations and a nonlinear boundary value problem for the heat equation. (English) Zbl 0766.45003
Reviewer: J.Schönenberger-Deuel (Männedorf)
Nonlinear integral equations on the half line. (English) Zbl 0766.45001
Reviewer: J.Schönenberger-Deuel (Männedorf)
MSC:
45G05
On the piecewise constant collocation method for multidimensional weakly singular integral equations. (English) Zbl 0767.65097
Reviewer: J.Elschner (Berlin)
Spectral approximations for Wiener-Hopf operators. II. (English) Zbl 0769.45001
Reviewer: N.K.Karapetyants (Rostov-na-Donu)
The modified quadrature method for logarithmic-kernel integral equations on closed curves. (English) Zbl 0747.65100
Reviewer: M.Schleiff (Halle)
Multi-step methods for first kind singular Volterra integral equations. (English) Zbl 0757.65141
Reviewer: Z.Jackiewicz (Tempe)
Distributional solutions of the Wiener-Hopf integral and integro- differential equations. (English) Zbl 0747.45002
Reviewer: N.K.Karapetyants (Rostov-na-Donu)
MSC:
45E10
Corrections to “Distributional solutions of singular integral equations”. (English) Zbl 0753.45002
Reviewer: A.V.Bukhvalov (St.Petersburg)
MSC:
45E10
The solution of integral equations with difference kernels. (English) Zbl 0747.45001
Reviewer: M.Reichert (Frankfurt / Main)
A Kac-Feynman integral equation for conditional Wiener integrals. (English) Zbl 0751.45003
Reviewer: Wang Cun-Zheng (Chengdu)
Spectral approximations for Wiener-Hopf operators. (English) Zbl 0706.45002
Reviewer: N.K.Karapetyants (Rostov-na-Donu)
Collocation methods for second kind integral equations with non-compact operators. (English) Zbl 0703.65090
Reviewer: H.Brunner
A characterization of the solution of a Fredholm integral equation with \(L^ \infty\) forcing term. (English) Zbl 0755.45001
Reviewer: E.Deeba (Houston)
MSC:
45E10
The delta-trigonometric method using the single-layer potential representation. (English) Zbl 0689.65067
Reviewer: I.Evzerov
On integral equations of the first kind with logarithmic kernels. (English) Zbl 0682.45001
Reviewer: J.Burbea
MSC:
45E10
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