Path following approaches for solving nonlinear equations: Homotopy, continuous newton and projection

1979 ◽  
pp. 257-264 ◽  
Author(s):  
Tien-Yien Li ◽  
James A. Yorke
Keyword(s):  
Nonlinear Equations ◽  
Path Following

scholarly journals Solution of nonlinear equations and computation of multiple solutions of a simple reaction-diffusion equation

2000 ◽  
Vol 42 (1) ◽  
pp. 55-64
Author(s):  
Adrian Swift ◽  
Easwaran Balakrishnan
Keyword(s):  
Steady State ◽  
Diffusion Equation ◽  
Nonlinear Equations ◽  
Multiple Solutions ◽  
Path Following ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Research Involvement ◽  
Path Following Methods ◽  
Nonlinear Equation Systems

AbstractThe first part of this paper starts with a brief discussion of some methods for solution of nonlinear equations which have interested the first author over the last twenty years or so. In the second part we discuss a recent research involvement, the success of which relies heavily on the numerical solution of nonlinear equation systems. We briefly describe path-following methods and then present an application to a simple steady-state reaction-diffusion equation arising in combustion theory. Results for some regular geometric shapes are shown and compared with those from an approximate method.

An EKF Based Method for Path Following in Turbulent Air

2017 ◽  
Vol 10 (1) ◽  
pp. 1 ◽  
Author(s):  
Caterina Grillo ◽  
F. Montano
Keyword(s):  
Path Following

Recognition of Signals with Application of Nonlinear Equations of Dynamics

1999 ◽  
Vol 31 (12) ◽  
pp. 81-87
Author(s):  
Tatyana I. Aksenova ◽  
Igor V. Tetko
Keyword(s):  
Nonlinear Equations

Model Predictive Periodic Output Path Following

2020 ◽  
Author(s):  
Ignacio J. Sanchez ◽  
Agustina D'Jorge ◽  
Alejandro C. Limache ◽  
Alejandro H. Gonzalez ◽  
Antonio Ferramosca
Keyword(s):  
Path Following

Correction: Quasi-static experimental path-following

2019 ◽  
Author(s):  
Robin M. Neville ◽  
Rainer Groh ◽  
Alberto Pirrera ◽  
Mark Schenk
Keyword(s):  
Path Following

Solving System of Nonlinear Equations using Genetic Algorithm

2019 ◽  
Vol 10 (4) ◽  
pp. 877-886 ◽  
Author(s):  
Chhavi Mangla ◽  
Musheer Ahmad ◽  
Moin Uddin
Keyword(s):  
Genetic Algorithm ◽  
Nonlinear Equations ◽  
System Of Nonlinear Equations
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