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Showing 1 to 20 of 35 for “"singular integral"”.
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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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Estimates on Oscillatory Singular Integral Operators
<p>Included with every oscillatory singular integral operator is a phase function and a kernel, both essential to the operator’s behavior over any function space. Studies on such operators are rooted in the deep theories developed by Fourier, Calder´on, Zygmund, and Stein. In this work we show …
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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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The Solution of a Singular Integral Equation Arising From a Lifting Surface Theory for Rotating Blades
… for the solution of a linear, two dimensional, singular, Volterra integral equation of the first kind. The integral equation, originally developed by Farassat and Myers, is derived from the basic equations of linearized acoustics and models the lifting force experienced by an infinitesimally …
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An Investigation of Modal Characteristics and Discontinuities in Printed Circuit Transmission Lines (Microstrip, Galerkin, Singular, Integral, Coupled-Mode)
… single and cascaded discontinuities. Next, the singular integral equation technique is used as an alternative to the spectral Galerkin technique, to calculate modes in a shielded microstrip. These results are compared to those generated by the spectral Galerkin technique. Finally, the coupling …
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On the Thermal Stresses Due to a Uniform Heat Flow Past a Circular Hole With a Radial Edge Crack
… 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 to workers in fracture mechanics, are then calculated.</p>
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Triple Trigonometric Series and Their Application to Mixed Boundary Value Problems
… and potential theory. By choosing a suitable integral representation for the sequence of unknown constants, the problem is reduced to solving a singular integral equation of the first kind. Twenty four cases in which the integral equation can be solved in closed form are discussed in …
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On the solution of the equations of radiative transfer in a free-electron atmosphere
… form of the transfer equations into singular integral equations for the angular intensities of the radiation field. The Milne problem is solved to illustrate the method. In addition, the relationship is found between the above method of solution and Case's normal mode expansion …
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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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Relations between two classes of singular integrals
… paper in which they discussed a certain kind of singular integral, and used some of their results to establish differential properties of solutions of Poisson's equation. Recently, Jones made some observations on the fundamental solution of the heat equation and gave another class of singular …
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Discrete Littlewood-Paley-Stein Theory And Wolff Potentials On Homogeneous Spaces And Multi-Parameter Hardy Spaces
… and $H^p-H^p$ boundedness criterions for singular integral operators. On the other hand, we compare the Wolff and Riesz potentials on spaces of homogenous type, followed by a Hardy-Littlewood-Sobolev type inequality. Then we drive integrability estimates of positive solutions to the …
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