Analyse Numérique
ECOLE Sup Informatique, IA et Mathématiques L2 · DEUXIEME ANNÉE L2
4 chapitres · 0 séance
Description à venir.
Au programme
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Error Analysis
Par Mr Aissaoui Mohammed
Error analysis is an essential part of numerical analysis. It provides the mathematical tools needed to understand, measure, and control the errors that arise when solving mathematical problems numerically.
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polynomial interpolation
Par Mr Aissaoui Mohammed
Abstract Polynomial interpolation is a fundamental numerical method used to approximate a function from a set of known data points. This course introduces the main interpolation techniques, including Lagrange and Newton interpolation, with a focus on their mathematical foundations, construction, and error analysis. Practical examples are provided to illustrate how these methods can be applied to solve numerical problems efficiently.
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Numerical derivation
Par Mr Aissaoui Mohammed
Abstract Numerical differentiation is a fundamental technique for approximating the derivatives of functions from discrete data. This course introduces the main finite-difference formulas, including forward, backward, and central differences, with a focus on accuracy and truncation errors. Higher-order methods and practical applications are also explored, providing the tools needed to compute derivatives efficiently and reliably in numerical problems.
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Digital integration
Par Mr Aissaoui Mohammed
Abstract Numerical integration is a fundamental technique for approximating definite integrals when analytical solutions are difficult or impossible to obtain. This course introduces the main numerical methods, including the rectangle, trapezoidal, Simpson’s, and Gaussian quadrature rules. Special attention is given to accuracy, convergence, and error analysis, with practical examples illustrating their applications in scientific and engineering problems.