ISSN:
1573-2878
Keywords:
Coefficient estimation
;
spline approximation
;
Euler method
;
Cauchy problems
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract This paper deals with the estimation and approximation of 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 by a sequence of solutions of associated finite-dimensional minimization problems.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00939824
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