6533b852fe1ef96bd12aab02

RESEARCH PRODUCT

Errors Generated by Uncertain Data

Sergey RepinSergey RepinOlli MaliPekka Neittaanmäki

subject

symbols.namesakeUncertain dataError analysisDirichlet boundary conditionScheme (mathematics)Subject (grammar)symbolsSolution setApplied mathematicsLogarithmic derivativeRadiusMathematics

description

In this chapter, we study effects caused by incompletely known data. In practice, the data are never known exactly, therefore the results generated by a mathematical model also have a limited accuracy. Then, the whole subject of error analysis should be treated in a different manner, and accuracy of numerical solutions should be considered within a framework of a more complicated scheme, which includes such notions as maximal and minimal distances to the solution set and its radius.

https://doi.org/10.1007/978-94-007-7581-7_5