RFSFNS: A portable package for the numerical determination of the number and the calculation of roots of Bessel functions

DOI10.1016/0010-4655(95)00115-9zbMath0908.65010OpenAlexW2147559715MaRDI QIDQ1269369

F. A. Zafiropoulos, T. N. Grapsa, Michael N. Vrahatis, Omiros Ragos, Takis Skiniotis

Publication date: 11 January 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4655(95)00115-9

zbMATH Keywords

topological degreeBessel functionssoftware packagebisection methodlocalization of zerosisolation of zerossimple real zerosbounds of zerosKronecker-Picard integral

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Packaged methods for numerical algorithms (65Y15)

Related Items (14)

CCOMP: an efficient algorithm for complex roots computation of determinantal equations ⋮ A combined symbolic and numerical algorithm for the computation of zeros of orthogonal polynomials and special functions ⋮ Generalizations of the Intermediate Value Theorem for Approximating Fixed Points and Zeros of Continuous Functions ⋮ The topological degree theory for the localization and computation of complex zeros of bessel functions ⋮ Bounds on differences of adjacent zeros of Bessel functions and iterative relations between consecutive zeros ⋮ ZEBEC: A mathematical software package for computing simple zeros of Bessel functions of real order and complex argument ⋮ On the complexity of isolating real roots and computing with certainty the topological degree ⋮ On the Green's function for the Helmholtz operator in an impedance circular cylindrical waveguide ⋮ Locating and computing in parallel all the simple roots of special functions using PVM ⋮ RFSFNS ⋮ RFSFNS: A portable package for the numerical determination of the number and the calculation of roots of Bessel functions ⋮ Computing zeros of analytic mappings: A logarithmic residue approach ⋮ Non-convexity and stress-path dependency of unsaturated soil models ⋮ The local geometry of chaotic billiards

Uses Software

• CHABIS
• COULFG

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic near optimality of the bisection method
• Bisection is optimal
• On the numerical evaluation of the ordinary Bessel function of the second kind
• RFSFNS: A portable package for the numerical determination of the number and the calculation of roots of Bessel functions
• A Short Proof and a Generalization of Miranda's Existence Theorem
• Algorithm 666: Chabis: a mathematical software package for locating and evaluating roots of systems of nonlinear equations
• Solving systems of nonlinear equations using the nonzero value of the topological degree
• The topological degree theory for the localization and computation of complex zeros of bessel functions
• On the Localization and Computation of Zeros of Bessel Functions

This page was built for publication: RFSFNS: A portable package for the numerical determination of the number and the calculation of roots of Bessel functions