Globalization of Newton's Method for Solving Non-linear Equations
β Scribed by J. L. Nazareth; Liqun Qi
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 559 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1070-5325
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β¦ Synopsis
The Lagrangian globalization (LG) method for non-linear equation-solving proposed in [ 101 is developed through theoretical analysis, the formulation of a particular LG algorithm, and a numerical illustration. New merit functions (termed detour potentials) for non-linear equation-solving, which broaden the LG concept, are also defined.
π SIMILAR VOLUMES
In this paper various approximate analytical methods for obtaining solutions for strongly non-linear differential equations in a complex function are developed. The methods are based on the solution of the generating differential equation with a cubic complex term. The method of harmonic balance, th
## Abstract In this article, we present some investigations about the solving of transfer equations by reducedβorder models (ROM). We introduce a ROM, the __a priori__ reduction (APR), and we present the results obtained for the 2D unsteady convectionβdiffusion equation and the 1D Burgers equation.