𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Root structure and numerical solution of the equation sin z = cz

✍ Scribed by E.B. Hansen

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
319 KB
Volume
10
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

The root structure of the equation sin(z) = cz is studied for Ic I < 1, and an iterative root finding method for the nonreal roots, based on an equation x = f(x) for the real part, is presented.

📜 SIMILAR VOLUMES

Lagrange and the Solution of Numerical E
Lagrange and the Solution of Numerical Equations
✍ Reinhard Laubenbacher; Gary McGrath; David Pengelley 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 62 KB

In 1798 J.-L. Lagrange published an extensive book on the solution of numerical equations. Lagrange had developed four versions of a general systematic algorithm for detecting, isolating, and approximating, with arbitrary precision, all real and complex roots of a polynomial equation with real coeff

Numerical solution of Rayleigh equation
Numerical solution of Rayleigh equation in non-linear vibration
✍ Chen, Y. Z. ;Lee, Kang Yong 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 60 KB 👁 2 views

Numerical solution of the Rayleigh equation in non-linear vibration is studied in this paper. The di erential equation is integrated on a particular interval (0; T p2 ) with the initial value condition, u = A i and du=dt = 0 at the time t = 0. The value T p2 is determined from the condition such tha

On numerical solution of the Schrödinger
On numerical solution of the Schrödinger equation: the shooting method revisited
✍ D. Indjin; G. Todorović; V. Milanović; Z. Ikonić 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 381 KB

An alternative formulation of the "shooting" method for a numerical solution of the Schr0dinger equation is described for :ases of general asymmetric one-dimensional potential (planar geometry), and spherically symmetric potential. The method relies on matching the asymptotic wavefunctions and the p

On the numerical solution of the Klein-G
On the numerical solution of the Klein-Gordon equation
✍ A.G. Bratsos 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 203 KB 👁 1 views

## Abstract A predictor–corrector (P–C) scheme based on the use of rational approximants of second‐order to the matrix‐exponential term in a three‐time level reccurence relation is applied to the nonlinear Klein‐Gordon equation. This scheme is accelerated by using a modification (MPC) in which the