441 citations · 1.1k across the 21 of their papers we have counts for
21 papers
Structure of Exact Renormalization Group Equations for field theory
C. Bervillier
It is shown that exact renormalization group (RG) equations (including rescaling and field-renormalization) for respectively the scale-dependent full action and the scale-…
Revisiting the local potential approximation of the exact renormalization group equation
C. Bervillier
The conventional absence of field renormalization in the local potential approximation (LPA) --implying a zero value of the critical exponent η-- is shown to be incompatible with t…
The Wilson exact renormalization group equation and the anomalous dimension parameter
C. Bervillier
The non-linear way the anomalous dimension parameter has been introduced in the historic first version of the exact renormalization group equation is compared to current practice.…
Status of the differential transformation method
C. Bervillier
Further to a recent controversy on whether the differential transformation method (DTM) for solving a differential equation is purely and solely the traditional Taylor series metho…
Analytic continuation of Taylor series and the two-point boundary value problems of some nonlinear ordinary differential equations
S. Abbasbandy, C. Bervillier
We compare and discuss the respective efficiency of three methods (with two variants for each of them), based respectively on Taylor (Maclaurin) series, Padé approximants and confo…
Conformal mappings versus other power series methods for solving ordinary differential equations: illustration on anharmonic oscillators
C. Bervillier
The simplicity and the efficiency of a quasi-analytical method for solving nonlinear ordinary differential equations (ODE), is illustrated on the study of anharmonic oscillators (A…