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Lecture
Ordinary Differential Equations: Methods and Accuracy
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Related lectures (29)
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Ordinary Differential Equations: Error Analysis
Explores error analysis in ordinary differential equations and convergence criteria for numerical methods.
Ordinary Differential Equations: Non-linear Analysis
Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.
Cauchy Problem: Euler Methods
Explores the Cauchy problem and Euler methods for numerical solutions in ODEs.
Direction Fields, Euler Methods, Differential Equations
Explores direction fields, Euler methods, and differential equations through practical exercises and stability analysis.
Error Estimation in Numerical Methods
Explores error estimation in numerical methods for solving differential equations, focusing on local truncation error, stability, and Lipschitz continuity.
Ordinary Differential Equations: Solutions and Methods
Explores methods for ordinary differential equations and the importance of Lipschitz continuity in ensuring unique solutions.
Ordinary Differential Equations
Covers the approximation of a system of differential equations using a method based on time intervals.
Ordinary Differential Equations: Stability
Explores absolute stability in autonomous differential equation systems and the properties of equilibrium points and attractors.
High Order Methods: Space Discretisation
Covers high order methods for space discretisation in linear differential systems.
Differential Equations: Approximation Methods and Analysis
Covers methods for approximating solutions to differential equations and their real-world applications.
