Least-squares optimized polynomials for fermion simulations
نویسنده
چکیده
Least-squares optimized polynomials are discussed which are needed in the twostep multi-bosonic algorithm for Monte Carlo simulations of quantum field theories with fermions. A recurrence scheme for the calculation of necessary coefficients in the recursion and for the evaluation of these polynomials is introduced.
منابع مشابه
DESY 99-170 Least-squares optimized polynomials for fermion simulations∗
Least-squares optimized polynomials are discussed which are needed in the twostep multi-bosonic algorithm for Monte Carlo simulations of quantum field theories with fermions. A recurrence scheme for the calculation of necessary coefficients in the recursion and for the evaluation of these polynomials is introduced.
متن کاملDESY 97-132 Quadratically optimized polynomials for fermion simulations
Quadratically optimized polynomials are described which are useful in multi-bosonic algorithms for Monte Carlo simulations of quantum field theories with fermions. Algorithms for the computation of the coefficients and roots of these polynomials are described and their implementation in the algebraic manipulation language Maple is discussed. Tests of the evaluation of polynomials on dynamical f...
متن کاملQuadratically optimized polynomials for fermion simulations
An algorithm for the computation of the coefficients and roots of quadratically optimized polynomials is described. An implementation in the algebraic manipulation language Maple is discussed. These polynomials can be used in local bosonic algorithms for Monte Carlo simulations of quantum field theories with fermions.
متن کاملA recurrence scheme for least-square optimized polynomials
A recurrence scheme is defined for the numerical determination of high degree polynomial approximations to functions as, for instance, inverse powers near zero. As an example, polynomials needed in the two-step multi-boson (TSMB) algorithm for fermion simulations are considered. For the polynomials needed in TSMB a code in C is provided which is easily applicable to polynomial degrees of severa...
متن کاملNumerical solution of the spread of infectious diseases mathematical model based on shifted Bernstein polynomials
The Volterra delay integral equations have numerous applications in various branches of science, including biology, ecology, physics and modeling of engineering and natural sciences. In many cases, it is difficult to obtain analytical solutions of these equations. So, numerical methods as an efficient approximation method for solving Volterra delay integral equations are of interest to many res...
متن کامل