[PDF] Top 20 Integral equations of scattering in one dimension

... problem of one-dimensional quantum scatter- ing continues as an active line of ...applications in studying tunneling phenomena in a finite ...discussion of quantum ... See full document

... the one hand, it resolves the problem of the ...associated in- teractions for the fermions must now be functions of A( x ) ...the scattering amplitudes divergent and thus ...be ... See full document

... Integral equations involving kernels of cosine and sine type play a significant role in the modelling of different kinds of applied ...functions of one or more ... See full document

... quasi-definiteness of u ∈ P ′ and the existence of a SMOP with respect to u is well known in the literature on orthogonal polynomials (see [9, ...an integral representation in terms ... See full document

... accuracy of the basic cardinal interpolation on the real ...trajectories of linear and nonlinear constrained dynamic ...consists of representing the solution of the optimal control prob- lem ... See full document

... [r] ... See full document

... performance of our Monte Carlo-based method over- comes the performance of the classical FDTD method for one-dimensional ...methods in view of the well known ”curse of ... See full document

... boundedness of solutions of fractional differential (and integral) ...definition of the Mittag-Leffler stability is a special case of the one given in ... See full document

... discover of completely new solu- tions which could not be reached in a somehow more “classical” and known ...just one of the reasons why it is still well appropriate to continue to perform ... See full document

... Introduction. In the local differential geometry, the special curves ...differential equations play an important role. One of the well-known of these special curve is spherical curve ... See full document

... Fredholm integral equations in terms of accuracy and arithmetic ...information of both Kantorovich and Sloan approx- ...method one step of a fixed point iteration, using, ... See full document

... development of hybrid schemes based on eigenfunction expansions, which recently, due to the development of symbolic computation platforms, have became more attractive due to the reduction on the analytical ... See full document

... recently. In part, this is because of their potential applicability in model situations where although we can not expect to easily obtain the exact solution of the problem we may expect to ... See full document

... applied in many fields of mathematics and ...theory of SIES and boundary value problems for analytic functions founded by Hilbert and Poincar´ e are particularly applied in many theories such ... See full document

... features of functional and integral equations involved in the spectral approach developed by the author (in ...J. of Mech. and Appl. Math., 59, 4, pp.517-550, 2006) for ... See full document

... consider of great importance to provide rationales on the particular kind of qualitative ...consisted of a case study on each of the HE institutions mentioned in the above research ... See full document

... THE HYERS-ULAM-RASSIAS STABILITY IN THE FINITE INTERVAL CASE The present section is devoted to present sufficient conditions for the Hyers-Ulam-Rassias stability of the Hammerstein integra[r] ... See full document

... Instituto de Fisica, Uni versidade Federal de Bahia, Salvador, Brazil (Received 27 January 1977; revised manuscript received 3 August 1977) Theoretical and experimental results for the i[r] ... See full document

... properties of common orthogonal polynomials. These polynomials are not solutions of the equation of the hypergeometric type, but they can be expressed in terms of the Jacobi polynomials ... See full document

... weighting of joint sets in agreement with their impor- tance in rock ...Weighting of each joint set can use several approaches, such as the proportion of the number of joints, ... See full document