Since the publication of Yang's original work' on the self-dual SU(2) gauge theory, much effort has been put forward to integrate these equations. Although this work was carried out in the four-dimensional Euclidean space —in connection with instantons-there is always freedom to suppress two of the coordinates and study the theory in a plane. Such a reduced formalism turns out to have much in c...

In recent years there have been tremendous advances in the theoretical understanding of boundary integral equations for Maxwell problems. In particular, stable dual pairings of discretisation spaces have been developed that allow robust formulations of the preconditioned electric field, magnetic field and combined field integral equations. Within the BEM++ boundary element library we have devel...

in this paper, existence theorems for the fuzzy volterra-fredholm integral equations of mixed type (fvfiemt) involving fuzzy number valued mappings have been investigated. then, by using banach's contraction principle, sufficient conditions for the existence of a unique solution of fvfiemt are given. finally, illustrative examples are presented to validate the obtained results.

In this paper, we use the continuous Legendre wavelets on the interval [0,1] constructed by Razzaghi M. and Yousefi S. [6] to solve the linear second kind integral equations. We use quadrature formula for the calculation of the products of any functions, which are required in the approximation for the integral equations. Then we reduced the integral equation to the solution of linear algebraic ...

The interest in instantons originates from the discovery of finite-action solutions of the classical Yang-Mills equations, instantons [1]-[3], which are localized in imaginary time. They provide the dominant contribution to the path-integral in the quantization of the Yang-Mills fields. The expectation that their gravitational counterparts should play a similar role in the path-integral approac...

In this paper a study of the coupling between integral equations and nite element methods is presented for two problems of propagation in frequency domain. It is shown that these problems can be viewed as multidomain problems and treated by the mean of the Schur complement technique. The complement coming from the integral equation part is expressed with the integral operators of the scattering...