Locating and computing in parallel all the simple roots of special functions using PVM

Journal of Computational and Applied Mathematics

Volumn 133, Issue 1-2, 2001, Pages 545-554

  Plagianakos, V P ^a   Nousis, N K ^a   Vrahatis, M N ^a  

^a UNIVERSITY OF PATRAS   (Greece)

Author keywords

Bessel functions; Computation of special functions; Construction of tables of special functions; Elbert's conjecture; Kronecker Picard theory; Parallel and distributed algorithms; Parallel virtual machine; Special functions; Topological degree theory; Zero isolation

Indexed keywords

DIFFERENTIAL EQUATIONS; FUNCTIONS; NUMBER THEORY; PARALLEL ALGORITHMS; SYNCHRONIZATION;

PARALLEL VIRTUAL MACHINE;

COMPUTER ARCHITECTURE;

MATHEMATICAL METHOD;

EID: 0035417514     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00675-0     Document Type: Article

References (23)

1. Some recent results on the zeros of Bessel functions and orthogonal polynomials
2. PVM: Parallel virtual machine
3. On the control of a circular membrane I
4. ZEBEC: A mathematical software package for computing simple zeros of Bessel functions of real order and complex argument
5. ZEAL: A mathematical software package for computing zeros of analytic functions
6. Software needs in special functions
7. Airy and Bessel functions by parallel integration of ODEs
8. Numerical evaluation of special functions
9. Sur le nombre des racines communes à plusieurs équations simultanées
10. ELF and GNOME: Two tiny codes to evaluate the real zeros of the Bessel functions of the first kind for real orders
11. Bisection is optimal
12. Solving systems of nonlinear equations using the nonzero value of the topological degree
13. CHABIS: A mathematical software package for locating and evaluating roots of systems of nonlinear equations
14. A short proof and a generalization of Miranda's existence theorem
15. On the localization and computation of zeros of Bessel functions
16. RFSFNS: A portable package for the numerical determination of the number and the calculation of roots of Bessel functions
17. The topological degree theory for the localization and computation of complex zeros of Bessel functions
18. Locating and computing zeros of Airy functions