نتایج جستجو برای: volterra integral operator

تعداد نتایج: 209833  

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه لرستان - دانشکده علوم پایه 1392

‎in this article‎, ‎we have focused one some basic and productive information about the properties of spectrum and singular values related to compact operators which are ideals in a c*-algebra of bounded operators‎. ‎considering a two-sided connection between the family of symmetric gauge functions on sequence of singular values of compact operators and symmetric norms on finite dimensional ope...

1993
O. Knill

Inverse problems are prevalent in astrophysics and many methods were developed for the reconstruction of these ill-posed equations. We present a new method for inverting Abel's integral equation by explicit diagonalization of the re lated Volterra operator. This method is particularly suitable for determining the velocity laws of stellar winds. We test the method for different frequently used p...

Journal: :Advances in Computational Mathematics 2023

We consider the numerical solution of real time equilibrium Dyson equation, which is used in calculations dynamical properties quantum many-body systems. show that this equation can be written as a system coupled, nonlinear, convolutional Volterra integro-differential equations, for kernel depends self-consistently on solution. As typical Volterra-type computational bottleneck quadratic-scaling...

Journal: :journal of sciences islamic republic of iran 0

here a posteriori error estimate for the numerical solution of nonlinear voltena- hammerstein equations is given. we present an error upper bound for nonlinear voltena-hammastein integral equations, in which the form of nonlinearity is algebraic and develop a posteriori error estimate for the recently proposed method of brunner for these problems (the implicitly linear collocation method).we al...

Journal: :international journal of mathematical modelling and computations 0
somayeh nemati department of mathematics, faculty of mathematical sciences, university of mazandaran, babolsar, iran y. ordokhani

in this paper, a method for finding an approximate solution of a class of two-dimensional nonlinear volterra integral equations of the first-kind is proposed. this problem is transformedto a nonlinear two-dimensional volterra integral equation of the second-kind. the properties ofthe bivariate shifted legendre functions are presented. the operational matrices of integrationtogether with the produ...

2015
Fuli Wang Hua Zhou

*Correspondence: [email protected] School of Mathematics and Physics, Changzhou University, Changzhou, Jiangsu 213164, China Abstract In this paper, we provide a new approach for discussing the solvability of a class of operator equations by establishing fixed point theorems in locally convex spaces. Our results are obtained extend some Krasnosel’skii type fixed point theorems. As an applicatio...

1999
G. F. Dell ’ Antonio R. Figari A. Teta

We consider the motion of a non relativistic quantum particle in R 3 subject to n point interactions which are moving on given smooth trajec-tories. Due to the singular character of the time-dependent interaction, the corresponding Schrödinger equation does not have solutions in a strong sense and, moreover, standard perturbation techniques cannot be used. Here we prove that, for smooth initial...

Journal: :J. Sci. Comput. 2012
Ziqing Xie Xianjuan Li Tao Tang

This work is to provide spectral and pseudo-spectral Jacobi-Galerkin approaches for the second kind Volterra integral equation. The Gauss-Legendre quadrature formula is used to approximate the integral operator and the inner product based on the Jacobi weight is implemented in the weak formulation in the numerical implementation. For some spectral and pseudo-spectral Jacobi-Galerkin methods, a ...

2010
Hermann Brunner

We show that various (discrete) methods for the approximate solution of Volterra (and Abel) integral equations of the first kind correspond to some discrete version of the method of (recursive) collocation in the space of (continuous) piecewise polynomials. In a collocation method no distinction has to be made between equations with regular or weakly singular kernels; the regularity or nonregul...

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید