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Lecture
Ordinary Differential Equations: Methods and Applications
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Related lectures (30)
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Ordinary Differential Equations: Non-linear Analysis
Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.
Euler Forward Method
Introduces the Euler Forward Method for ODEs, focusing on error analysis and stability.
Euler Backward Method: ODEs
Explores the Euler backward method for ODEs, discussing stability, error reduction, and implicit vs explicit methods.
Numerical Methods: Differential Equations and Stability Analysis
Covers numerical methods for solving differential equations and their stability analysis, focusing on error calculation and practical applications in engineering and science.
Direction Fields, Euler Methods, Differential Equations
Explores direction fields, Euler methods, and differential equations through practical exercises and stability analysis.
Numerical Methods: Euler Schemes
Focuses on Euler schemes for numerical approximation of forces and velocities.
Finite Difference Methods: Stability Analysis
Explores the stability analysis of finite difference methods for solving differential equations.
Numerical Differentiation: Part 1
Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.
High Order Methods: Space Discretisation
Covers high order methods for space discretisation in linear differential systems.
Numerical Integration Methods
Explores numerical integration methods and their application in solving differential equations and simulating physical systems.
