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Showing 1 to 19 of 19 for “"Singular integral equations"”.
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Approximations for Singular Integral Equations
… work is a numerical study of a class of weakly singular neutral equations. The motivation for this study is an aeroelastic system. Numerical techniques are developed to approximate the singular integral equation component appearing in the complete dynamical model for the elastic motions of a …
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Singular Integral Equations With Normal Kernels
Made available in DSpace on 2014-12-05T21:50:00Z (GMT). No. of bitstreams: 1 0009110.pdf: 1400405 bytes, checksum: 7560a050b0120fb0b0b08993c8a0cbb4 (MD5) Previous issue date: 1954
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A Generalization of Singular Integral Equations With Complex Kernels
Made available in DSpace on 2014-12-05T21:50:11Z (GMT). No. of bitstreams: 1 5805477.pdf: 1120548 bytes, checksum: 5e32863fbcae5342b9be8a589a8e8ad3 (MD5) Previous issue date: 1958
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Singular Integral Equations With an Infinity of Intersecting Arcs
Made available in DSpace on 2014-12-05T21:50:19Z (GMT). No. of bitstreams: 1 6104273.pdf: 883192 bytes, checksum: 7760fd46ff8f2c5cbc0dcc5aeccde44b (MD5) Previous issue date: 1961
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A Technique for Solving the Singular Integral Equations of Potential Theory
<p>The singular integral equations of Potential Theory are investigated using ideas from both classical and contemporary mathematics. The goal of this semi-analytic approach is to produce numerical schemes that are both general and computationally simple. Previous works based on classical methods …
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Singular Integral Equations With Symmetric Complex-Valued Kernels of Class I
Made available in DSpace on 2014-12-05T21:50:01Z (GMT). No. of bitstreams: 1 0009163.pdf: 1228558 bytes, checksum: cbcd267d7bd50fd799154aa77f9bf52b (MD5) Previous issue date: 1954
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Singular integral equations and realization: A survey of the state space method
Different methods for solving singular integral equations exist. One of the most recent methods is the so-called state space method. This method is based on the fact that a rational matrix function VV(^) which is analytic and invertible at infinity can be represented by vv(^): D * C(AI - A)-'B, …
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On the Uniform Approximation of a Class of Singular Integral Equations in a Hoelder Space
Made available in DSpace on 2014-12-11T18:24:00Z (GMT). No. of bitstreams: 1 7317600.pdf: 4097550 bytes, checksum: e227d1d2fb440ccb6134e7c6f582b728 (MD5) Previous issue date: 1972
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On the Thermal Stresses Due to a Uniform Heat Flow Past a Circular Hole With a Radial Edge Crack
… superimposing a Mellin transform solution of the equations of thermoelasticity on a Michell series solution the author reduces the problem to a pair of singular integral equations which are then solved numerically. The stress intensity factors and crack formation energies, quantities of interest …
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On the solution of the equations of radiative transfer in a free-electron atmosphere
The radiative transfer equations are solved for an electron-scattering stellar atmosphere as formulated by Chandrasekhar. The solution employs a transformation of the integro-differential form of the transfer equations into singular integral equations for the angular intensities of the radiation …
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Boundary Value Problems in Elasticity and Thermoelasticity
… in elasticity and thermoelasticity. Using integral transform techniques and separation of variables appropriately, it is shown that the solutions can be found by solving a corresponding set of triple or dual integral equations in some instances, while in others the solutions of triple or …
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A meshless, high-order integral equation method for smooth surfaces, with application to biomolecular electrostatics
… formulation have many drawbacks. We present an integral formulation that resolves these difficulties and enables an efficient implementation using a recently developed fast solver. The new approach can solve practical engineering problems with good accuracy, but only with an aid of a high …
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Analysis of interface and subinterface cracks with crack-face contact and interface shear yield zones
… formulated as systems of nonlinear Cauchy-type singular integral equations which are solved numerically using Erdogan and Gupta' s (1972) method. The physically pathological features of interpenetration of the crack faces and oscillation of the near tip fields are eliminated in the solutions by …
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The Fn method in kinetic theory
… Using full-range orthogonality, a system of singular integral equations for the distribution functions at the boundaries is established. The unknown distribution functions are then approximated by a finite expansion in terms of a set of basis functions and the coefficients of the expansion …
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On iso- and nonisothermal crack problems of a layered anisotropic elastic medium
… bounding surfaces. By employing the Fourier integral transform technique and the flexibility/stiffness matrix formulation, the current mixed boundary value problems are reduced to solving a set of simultaneous singular integral equations with Cauchy-type kernels. The crack·tip stress …
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Analytic Solutions for Flows Through Cascades
… complex analysis is employed in the form of singular integral equations, Riemann--Hilbert problems, the Wiener--Hopf method and conformal mappings via the transcendental Schottky--Klein prime function. These methods are applied in the context of rigorous asymptotic expansions where the …
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ΑΝΑΓΩΓΗ ΠΡΟΒΛΗΜΑΤΩΝ ΛΩΡΙΔΑΣ ΜΕ Η ΧΩΡΙΣ ΕΝΙΣΧΥΣΕΙΣ, ΣΕ ΕΠΙΛΥΣΗ ΙΔΙΟΜΟΡΦΩΝ ΟΛΟΚΛΗΡΩΤΙΚΩΝ ΕΞΙΣΩΣΕΩΝ
… WITH A NEW METHOD OF NUMERICAL INTEGRATION, INTEGRALS OF SPECIAL TYPE.