Coefficient estimation in a first-order nonlinear hyperbolic Cauchy problem
type: Item
instance of: scholarly article
title: Coefficient estimation in a first-order nonlinear hyperbolic Cauchy problem
zbMATH Open document ID: 0579.65128
DOI: 10.1007/BF00939824
published in: Journal of Optimization Theory and Applications
publication date: 1986-01-01T00:00:00Z
review text: This paper deals with the estimation and approximation of a coefficient function in a first order, nonlinear, hyperbolic Cauchy problem. The estimation is accomplished by minimizing a functional which measures the error between a finite set of given observations and the corresponding values of the solution generated by the coefficient function. A class of admissible coefficient functions is defined, and it is proved that minimizing coefficient function always exists within this class. We also develop an approximation scheme which allows a minimizing coefficient function to be approximated by a sequence of solutions of associated finite-dimensional minimization problems.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 35L60
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 65M60
zbMATH DE Number: 3928297
zbMATH Keywords: coefficient estimation
zbMATH Keywords: spline approximation
zbMATH Keywords: Euler method
author: Kevin A. Grasse
author: Luther White
MaRDI profile type: Publication
cites work: Q3966526
cites work: Q3917198
cites work: Q3525855
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description: scientific article; zbMATH DE number 3928297