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Lecture
Finite Element Method: Basics and Applications
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Related lectures (28)
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Numerical Differentiation: Part 1
Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.
System of ODEs
Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.
Numerical Approximation of Partial Differential Equations
Explores numerical methods for solving partial differential equations computationally, emphasizing their importance in predicting various phenomena.
Numerical Approximation of PDEs
Covers the numerical approximation of PDEs, including Poisson and heat equations, transport phenomena, and incompressible limits.
High Order Methods: Space Discretisation
Covers high order methods for space discretisation in linear differential systems.
Error Estimation in Numerical Methods
Explores error estimation in numerical methods for solving differential equations, focusing on local truncation error, stability, and Lipschitz continuity.
Numerical Methods: Euler and Crank-Nicolson
Covers Euler and Crank-Nicolson methods for solving differential equations.
Finite Differences Method: Error Division and Schemes
Covers error division and schemes for solving differential equations.
Numerical Analysis: Stability in ODEs
Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.
Numerical Analysis: Implicit Schemes
Covers implicit schemes in numerical analysis for solving partial differential equations.