A numerical method of solving inverse problems for nonlinear differential equations
type: Item
instance of: scholarly article
title: A numerical method of solving inverse problems for nonlinear differential equations
zbMATH Open document ID: 0799.65076
published in: Computational Mathematics and Mathematical Physics
publication date: 1994-07-24T00:00:00Z
review text: A system (1) \(x'= f(t,x,u)\), \(x(t_ 0)= x^ 0\) is studied, where \(u\) is a finite-dimensional parameter vector. A numerical method is given for solving the inverse problem of (1), i.e. the problem of determining \(u\) from the known function \(x\). The method has quadratic rate of convergence and it uses the quasilinearization of (1) and the theory of sensitivity.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34A55
zbMATH DE Number: 584217
zbMATH Keywords: nonlinear
zbMATH Keywords: system
zbMATH Keywords: inverse problem
zbMATH Keywords: convergence
zbMATH Keywords: quasilinearization
zbMATH Keywords: sensitivity
author: Ugur G. Abdulla
reviewed by: Miroslav Bartušek
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 584217