Sentence examples for based on double integral from inspiring English sources
The methodology is based on double integral transforms and generalized functions' properties.
Their approach is based on double operator integrals.
In this section we use the Birman Solomyak approach [19] that is based on double operator integrals.
We present the Birman Solomyak approach to the Lifshits Krein trace formula that is based on double operator integrals.
We start with the Birman Solomyak approach to define double operator integrals and consider applications in estimating operator differences (f(A -f(B)) for self-A -fint operators A and B. Next, we present the Birman–Solomyak approach to the Liforits–Krein trace formula that is based on doperatorsrAtor integrand.
Also, our exact outage performance result for the variable-gain AF-FD relaying can be easily calculated numerically in comparison to the exact outage probability expression in terms of EGBMGF given in [20] which is based on double Mellin-Barnes type integrals.
We applied the Sinc collocation method based on double exponential transformation to nonlinear Hammerstein integral equations.
The main purpose of the present research is to consider the numerical solution of Hammerstein integral equations based on double exponential transformation and investigate computational cost and stability and implementation of the algorithm.
The voltammograms are calculated automatically with a prescribed accuracy, by using either the adaptive integrator INTDE based on double exponential formulas, or the adaptive Huber method for integral equations.
In this paper, numerical solution of nonlinear Hammerstein integral equations via collocation method based on double exponential transformation is considered.
