A non traditional method to calculate multi-point Feynman functions is presented. In the approach, D-dimensional loop integrals defining a Feynman amplitude are not directly performed, but a system of linear differential equations for the Feynman amplitudes themselves is found. The solution of the differential equations provides then with the actual value of the amplitudes
In this Thesis we discuss recent ideas concerning the evaluation of multi-loop Feynman Integrals in...
We present an efficient algorithm for calculating multi-loop Feynman integrals perturbatively
In this paper we study the calculation of multiloop Feynman integrals that cannot be expressed in te...
We discuss a progress in calculation of Feynman integrals which has been done with help of the diffe...
A framework to represent and compute two-loop $N$-point Feynman diagrams as double-integrals is disc...
We present a new method for numerically computing generic multi-loop Feynman integrals. The method r...
It is by now well established that, by means of the integration by part identities, all the integral...
Abstract The method of differential equations has been proven to be a powerful tool for the computat...
Abstract The computation of Feynman integrals is often the bottleneck of multi-loop calculations. We...
Abstract We describe a strategy to solve differential equations for Feynman integrals by powers seri...
The problem of evaluating Feynman integrals over loop momenta has existed from the early days of per...
We discuss a progress in calculations of Feynman integrals based on the Gegenbauer Polynomial Techni...
An algorithm for the systematic analytical approximation of multi-scale Feynman integrals is present...
We elaborate on the method of differential equations for evaluating Feynman integrals. We focus on s...
The standard procedure for computing scalar multi-loop Feynman integrals consists in reducing them t...
In this Thesis we discuss recent ideas concerning the evaluation of multi-loop Feynman Integrals in...
We present an efficient algorithm for calculating multi-loop Feynman integrals perturbatively
In this paper we study the calculation of multiloop Feynman integrals that cannot be expressed in te...
We discuss a progress in calculation of Feynman integrals which has been done with help of the diffe...
A framework to represent and compute two-loop $N$-point Feynman diagrams as double-integrals is disc...
We present a new method for numerically computing generic multi-loop Feynman integrals. The method r...
It is by now well established that, by means of the integration by part identities, all the integral...
Abstract The method of differential equations has been proven to be a powerful tool for the computat...
Abstract The computation of Feynman integrals is often the bottleneck of multi-loop calculations. We...
Abstract We describe a strategy to solve differential equations for Feynman integrals by powers seri...
The problem of evaluating Feynman integrals over loop momenta has existed from the early days of per...
We discuss a progress in calculations of Feynman integrals based on the Gegenbauer Polynomial Techni...
An algorithm for the systematic analytical approximation of multi-scale Feynman integrals is present...
We elaborate on the method of differential equations for evaluating Feynman integrals. We focus on s...
The standard procedure for computing scalar multi-loop Feynman integrals consists in reducing them t...
In this Thesis we discuss recent ideas concerning the evaluation of multi-loop Feynman Integrals in...
We present an efficient algorithm for calculating multi-loop Feynman integrals perturbatively
In this paper we study the calculation of multiloop Feynman integrals that cannot be expressed in te...