Error Analysis

Error Propagation (Differential) - Jacobian Determinant


■ Specific Sources

! Script Error Propagation

Matters of Accuracy in Numeric Computing: Bronstein: Section 19.8.2.3
The Functional Determinant in Multiple Integrals: Bronstein: Section 8.4.1.2

Jacobian Determinant: http://en.wikipedia.org/wiki/Jacobian_matrix_and_determinant

■ Teaching Material for the Classroom (Mathematica Notebooks, Exercises, Demos etc.)

Mathematica-Notebook with Example on Navigation Error: Case_NavigationError.nb

! Exercises 9    and    ! Solutions 9
! Exercises 10  and    ! Solutions 10

Mathematica Notebook to Exercises 10 Problem 2: Exercises10P2.nb    and as .pdf / .png:  Exercises10P2.pdf  /  Exercises10P2.png



★ Further Topics or Subjects from the Bachelor Degree Program

Stochastic Measurement Error Theory: Bronstein: Section 16.4

Conditon Number: https://en.wikipedia.org/wiki/Condition_number


☆ General Sources (Encyclopedias a.s.o. with prompt or index search)

Mathworld: http://www.mathworld.com
Wikipedia Category of Numerical Analysis: en.wikipedia.org
Springer Encyclopedia of Math Online (Advanced): https://encyclopediaofmath.org