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Lecture
Composite Formulas Analysis
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Related lectures (28)
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Crank-Nicolson and Heun's Methods
Covers the Crank-Nicolson and Heun's methods, discussing uniqueness of solutions and truncation errors in numerical methods.
Numerical Integration: Introduction to SciPy and Matplotlib
Covers numerical integration techniques using SciPy and Matplotlib for visualizing functions and approximating integrals.
Numerical Integration: Simpson Quadrature Rule
Covers the Simpson quadrature rule for numerical integration, explaining the method to compute integrals using interpolation nodes and weights.
Numerical Integration: Newton-Cotes and Trapezoidal Rule
Covers numerical integration methods, including Newton-Cotes and the Trapezoidal Rule.
Error Estimation in Numerical Integration
Explains error estimation in numerical integration, focusing on completeness and accuracy.
Numerical Integration: Composite Formulas
Explores numerical integration through composite formulas, accuracy estimation, and error evaluation in integration methods.
Explicit Stabilised Methods: Stochastic Differential Equations
Covers explicit stabilized methods for stiff stochastic differential equations, analyzing their properties and applications.
Numerical Integration: Simpson's Rule
Introduces Simpson's rule for numerical integration and Richardson extrapolation for accuracy improvement.
System of ODEs
Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.
Quadrature Formulas: Composite and Non-Composite Methods
Covers quadrature methods, focusing on composite and non-composite techniques, their formulas, and practical applications in integration.