Download or read book Multidimensional Weakly Singular Integral Equations written by Gennadi Vainikko and published by Springer. This book was released on 2006-11-15 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The final aim of the book is to construct effective discretization methods to solve multidimensional weakly singular integral equations of the second kind on a region of Rn e.g. equations arising in the radiation transfer theory. To this end, the smoothness of the solution is examined proposing sharp estimates of the growth of the derivatives of the solution near the boundary G. The superconvergence effect of collocation methods at the collocation points is established. This is a book for graduate students and researchers in the fields of analysis, integral equations, mathematical physics and numerical methods. No special knowledge beyond standard undergraduate courses is assumed.

Download or read book Collocation methods for multidimensional weakly singular integral equations written by Gennadi Vainikko and published by . This book was released on 1989 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Collocation method for Weakly Singular Volterra Integral Equations of the Second Type written by Henry Ekah-Kunde and published by GRIN Verlag. This book was released on 2017-07-17 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seminar paper from the year 2015 in the subject Mathematics - Applied Mathematics, grade: A, , language: English, abstract: In scientific and engineering problems Volterra integral equations are always encountered. Applications of Volterra integral equations arise in areas such as population dynamics, spread of epidemics in the society, etc. The problem statement is to obtain a good numerical solution to such an integral equation. A brief theory of Volterra Integral equation, particularly, of weakly singular types, and a numerical method, the collocation method, for solving such equations, in particular Volterra integral equation of second kind, is handled in this paper. The principle of this method is to approximate the exact solution of the equation in a suitable finite dimensional space. The approximating space considered here is the polynomial spline space. In the treatment of the collocation method emphasis is laid, during discretization, on the mesh type. The approximating space applied here is the polynomial spline space. The discrete convergence properties of spline collocation solutions for certain Volterra integral equations with weakly singular kernels shall is analyzed. The order of convergence of spline collocation on equidistant mesh points is also compared with approximation on graded meshes. In particular, the attainable convergence orders at the collocation points are examined for certain choices of the collocation parameters.

Download or read book Collocation Methods for Multidimensional Weakly Singular Integral Equations written by G. Vainikko and published by . This book was released on 1989 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Collocation Methods for Volterra Integral and Related Functional Differential Equations written by Hermann Brunner and published by Cambridge University Press. This book was released on 2004-11-15 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Download or read book Multidimensional Weakly Singular Integral Equations written by Gennadi Vainikko and published by . This book was released on 2014-01-15 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Collocation Methods for Weakly Singular Volterra Integral Equations with Vanishing Delays written by Fan Bo and published by . This book was released on 2011 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Collocation Methods for Weakly Singular Volterra Integral Equations with Vanishing Delays written by Fan Bai and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Multidimensional Singular Integrals and Integral Equations written by Solomon Grigorʹevich Mikhlin and published by Pergamon. This book was released on 1965 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multidimensional Singular Integrals and Integral Equations presents the results of the theory of multidimensional singular integrals and of equations containing such integrals. Emphasis is on singular integrals taken over Euclidean space or in the closed manifold of Liapounov and equations containing such integrals.

Download or read book Generalized Collocation Methods written by Nicola Bellomo and published by Springer Science & Business Media. This book was released on 2007-10-16 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis of nonlinear models and problems is crucial in the application of mathematics to real-world problems. This book approaches this important topic by focusing on collocation methods for solving nonlinear evolution equations and applying them to a variety of mathematical problems. These include wave motion models, hydrodynamic models of vehicular traffic flow, convection-diffusion models, reaction-diffusion models, and population dynamics models. The book may be used as a textbook for graduate courses on collocation methods, nonlinear modeling, and nonlinear differential equations. Examples and exercises are included in every chapter.

Download or read book Colloquium Numerical Treatment of Integral Equations written by H. J. J. te Riele and published by . This book was released on 1979 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Collocation Methods for Weakly Singular Second Kind Volterra Integral Equations with Non smooth Solution written by Herman J. J. te Riele and published by . This book was released on 1981 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Solution Methods for Integral Equations written by M. A. Goldberg and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Collocation Methods for Weakly Singular Second Kind Volterra Integral Equations with Non smooth Solution written by Herman H. Riele and published by . This book was released on 1981 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Multiquadric Collocation Methods in the Numerical Solution of Volterra Integral Equations with Weakly Singular Kernels written by and published by . This book was released on 1993 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Volterra integral equation with weakly singular kernels are considered and are solved by applying piecewise collocation methods based on multiquadric approximations combined with Gauss quadrature rules.

Download or read book A New Class of Singular Integral Equations and Its Application to Differential Equations with Singular Coefficients written by L. G. Mikhailov and published by Walter de Gruyter GmbH & Co KG. This book was released on 1970-12-31 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "A New Class of Singular Integral Equations and Its Application to Differential Equations with Singular Coefficients".

Download or read book Collocation Methods for Parabolic Equations in a Single Space Variable written by J.jr. Douglas and published by Springer. This book was released on 2006-08-01 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: