Numerical Analysis
(การวิเคราะห์เชิงตัวเลข)
Definition
Numerical Analysis (การวิเคราะห์เชิงตัวเลข) Hard Skill
Numerical Analysis is the study and application of algorithms to obtain approximate solutions to mathematical problems, especially those involving continuous variables and complex equations.
Expertise Level
Level 1
Basic
1. Understands basic numerical methods such as interpolation and root finding.
2. Can perform simple calculations using numerical techniques.
3. Familiar with basic concepts of errors and approximations.
Level 2
Intermediate
1. Applies numerical methods to solve differential equations and linear algebra problems.
2. Analyzes numerical stability and accuracy of algorithms.
3. Utilizes software tools for implementing numerical algorithms.
Level 3
Advanced
1. Develops and optimizes advanced numerical algorithms for complex real-world problems.
2. Evaluates computational efficiency and error propagation in numerical solutions.
3. Integrates numerical analysis methods into multidisciplinary applications and research.
