Numerical Analysis II
| dc.contributor.author | MEZOUAGHI Abdelheq | |
| dc.date.accessioned | 2026-06-15T10:09:28Z | |
| dc.date.available | 2026-06-15T10:09:28Z | |
| dc.date.issued | 2026 | |
| dc.description | Intended for students of Second Year LMD Mathematics Degree (L2) Faculty of Exact Sciences And Informatics Department of Mathematics | |
| dc.description.abstract | Numerical analysis forms the cornerstone of modern scientific computing, enabling the solution of complex mathematical problems where analytical methods fail. This discipline is crucial for physics simulations, engineering design, financial modeling, and artificial intelligence applications. Our course material equips second-year LMD mathematics students with fundamental computational techniques, beginning with linear system solutions (Gaussian elimination, iterative methods) in Chapter 1. Chapter 2 covers eigenvalue problems, essential for stability analysis and machine learning algorithms. First-order differential equations (Chapter 3) model dynamic systems in biology and economics, solved numerically via Euler and Runge-Kutta methods. The final chapter tackles nonlinear algebraic systems using Newton-Raphson iterations, vital for optimization and control theory. Through algorithmic rigor and MATLAB examples, we emphasize error analysis and computational efficiency. Progressive exercises develop both theoretical understanding and practical implementation skills, preparing students for research and industry challenges in applied mathematics. | |
| dc.identifier.uri | https://dspace.univ-chlef.dz/handle/123456789/2477 | |
| dc.language.iso | en | |
| dc.publisher | University Hassiba Benbouali of Chlef | |
| dc.title | Numerical Analysis II | |
| dc.type | Working Paper |
Files
Original bundle
1 - 1 of 1
No Thumbnail Available
- Name:
- Numerical_Analysis_2_MEZOUAGHI.pdf
- Size:
- 648.25 KB
- Format:
- Adobe Portable Document Format
License bundle
1 - 1 of 1
No Thumbnail Available
- Name:
- license.txt
- Size:
- 1.71 KB
- Format:
- Item-specific license agreed upon to submission
- Description: