Numerical Methods · Unit 1
Errors and Approximations
Exam-focused notes for Errors and Approximations (Numerical Methods, BIT203): what the TU syllabus asks and how it has actually been tested, with 2 solved past questions from this unit.
What this unit covers
- True error and relative error definitions
- Sources of errors in numerical computation
- Round-off error and truncation error
- Error precision and convergence criteria
- Effect of errors on numerical computations
Round-off error and truncation error
Differentiate between round-off error and truncation error. Explain how they affect numerical computations, with the help of an example. [2+3]
--- Aspect Round-off Error Truncation Error --------- Definition Error caused by representing a number with a finite number of digits (limited precision of the machine) Error caused by truncating (cutting off) an infinite mathematical process to a finite nu...
Full solved answer →Sources of errors in numerical computation
What are the sources of errors? Discuss various types of errors encounters in numerical computation. [5]
In numerical computation, errors arise from several sources: 1. Mathematical Modeling - Simplifying real-world problems into mathematical models introduces approximation. 2. Input Data - Measured or observed data always contains some inaccuracy. 3. Machine/...
Full solved answer →Make Unit 1 stick
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