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Existence and uniqueness for nonlinear singular integral equations used in fluid mechanics
 Appl. Math
, 1997
"... Existence and uniqueness for nonlinear singular integral equations used in fluid mechanics ..."
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Cited by 7 (6 self)
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Existence and uniqueness for nonlinear singular integral equations used in fluid mechanics
EXISTENCE RESULTS FOR NONLINEAR SINGULAR INTEGRAL EQUATIONS WITH HILBERT KERNEL IN BANACH SPACES
, 2007
"... Existence results for nonlinear singular integral equations with Hilbert kernel in Banach spaces ..."
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Existence results for nonlinear singular integral equations with Hilbert kernel in Banach spaces
Petroleum Reservoir Engineering by Nonlinear Singular Integral Equations
"... For the determination of the properties of several reservoir materials, when oil reserves are moving through porous media, a new mathematical approach is proposed. Such problem is very much important for petroleum reservoir engineering. Thus, the above mentioned problem is reduced to the solution of ..."
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Cited by 3 (2 self)
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of a nonlinear singular integral equation, which is numerically evaluated by using the Singular Integral Operators Method (S.I.O.M.). Beyond the above, several properties are analyzed and investigated for the porous medium equation, defined as a Helmholtz differential equation. Finally, an application
NUMERICAL SOLUTIONS OF LINEAR SINGULAR INTEGRAL EQUATIONS BY MEANS OF TIKHONOV REGULARIZATION AND REPRODUCING KERNELS
"... Abstract. In this paper, a reproducing kernel method is proposed to perform the analysis of different types of singular integral equations. We will be mostly interested in linear singular integral equations of Cauchy type which have functions as coefficients (for which an equation of Carleman type ..."
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Abstract. In this paper, a reproducing kernel method is proposed to perform the analysis of different types of singular integral equations. We will be mostly interested in linear singular integral equations of Cauchy type which have functions as coefficients (for which an equation of Carleman type
Application of the LeraySchauder Alternative for a Certain Class of Non Linear Singular Integral Equations
"... Abstract: In this study, we study the problem of existence of solution of nonlinear singular integral equations of the form ..."
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Abstract: In this study, we study the problem of existence of solution of nonlinear singular integral equations of the form
Approximate Solution of Singular Integral Equations with Negative Index
"... This paper is devoted to investigating a class of linear singular integral equations with a negative index on a closed, simple and smooth curve. In this paper, we propose the quadrature method for the approximate solution of the linear singular integral equations with negative index. Sufficient con ..."
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This paper is devoted to investigating a class of linear singular integral equations with a negative index on a closed, simple and smooth curve. In this paper, we propose the quadrature method for the approximate solution of the linear singular integral equations with negative index. Sufficient
Strongly Elliptic Systems and Boundary Integral Equations
, 2000
"... Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book treats one class of such equations, concentrating on methods involving the use of surface potentials. It provides the first detailed exposition of the mathematic ..."
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Cited by 501 (0 self)
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of the mathematical theory of boundary integral equations of the first kind on nonsmooth domains. Included are chapters on three specific examples: the Laplace equation, the Helmholtz equation and the equations of linear elasticity. The book is designed to provide an ideal preparation for studying the modern
Parallel Numerical Linear Algebra
, 1993
"... We survey general techniques and open problems in numerical linear algebra on parallel architectures. We first discuss basic principles of parallel processing, describing the costs of basic operations on parallel machines, including general principles for constructing efficient algorithms. We illust ..."
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Cited by 773 (23 self)
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illustrate these principles using current architectures and software systems, and by showing how one would implement matrix multiplication. Then, we present direct and iterative algorithms for solving linear systems of equations, linear least squares problems, the symmetric eigenvalue problem
An iterative method for the solution of the eigenvalue problem of linear differential and integral
, 1950
"... The present investigation designs a systematic method for finding the latent roots and the principal axes of a matrix, without reducing the order of the matrix. It is characterized by a wide field of applicability and great accuracy, since the accumulation of rounding errors is avoided, through the ..."
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Cited by 537 (0 self)
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the process of "minimized iterations". Moreover, the method leads to a well convergent successive approximation procedure by which the solution of integral equations of the Fredholm type and the solution of the eigenvalue problem of linear differential and integral operators may be accomplished. I.
Convex Analysis
, 1970
"... In this book we aim to present, in a unified framework, a broad spectrum of mathematical theory that has grown in connection with the study of problems of optimization, equilibrium, control, and stability of linear and nonlinear systems. The title Variational Analysis reflects this breadth. For a lo ..."
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Cited by 5411 (68 self)
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progressed also to the study of socalled stationary points, critical points, and other indications of singularity that a point might have relative to its neighbors, especially in association with existence theorems for differential equations.
Results 1  10
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8,407