Computing the Zeros and Turning Points of Solutions of Second Order Homogeneous Linear ODEs

DOI10.1137/S0036142901392754zbMath1056.65049OpenAlexW2079634082MaRDI QIDQ4443615

Javier Segura, Amparo Gil

Publication date: 18 January 2004

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142901392754

zbMATH Keywords

algorithmsnumerical examplesspecial functionsfixed point methodssecond-order ODEsfixed point iterationszeros and turning points

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical computation of solutions to single equations (65H05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical approximation and evaluation of special functions (33F05)

Related Items (8)

On the zeros and turning points of special functions. ⋮ On a conjecture regarding the extrema of Bessel functions and its generalization ⋮ On the complex zeros of Airy and Bessel functions and those of their derivatives ⋮ On bounds for solutions of monotonic first-order difference-differential systems ⋮ A third-order iterative algorithm for inversion of cumulative central beta distribution ⋮ Asymptotic-numerical approximations for highly oscillatory second-order differential equations by the phase function method ⋮ New inequalities from classical Sturm theorems ⋮ Interlacing of the zeros of contiguous hypergeometric functions

Uses Software

• ELF
• GNOME

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