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System of ODEs
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Related lectures (29)
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Explicit Stabilised Methods: Stochastic Differential Equations
Covers explicit stabilized methods for stiff stochastic differential equations, analyzing their properties and applications.
Direction Fields, Euler Methods, Differential Equations
Explores direction fields, Euler methods, and differential equations through practical exercises and stability analysis.
Cauchy Problem: Euler Methods
Explores the Cauchy problem and Euler methods for numerical solutions in ODEs.
Implicit Euler Scheme
Explains the Implicit Euler Scheme, a method for solving differential equations numerically, focusing on stability and convergence properties.
Crank-Nicolson and Heun's Methods
Covers the Crank-Nicolson and Heun's methods, discussing uniqueness of solutions and truncation errors in numerical methods.
Euler Method: Understanding Higher Order Runge-Kutta Schemes
Explains the Euler method and higher-order Runge-Kutta schemes for solving differential equations.
Systems of First-Order Differential Equations
Explores systems of first-order differential equations and numerical methods for their analysis.
Numerical Methods: Boundary Value Problems
Explores boundary value problems, finite difference method, and Joule heating examples in 1D.
Exam Problems: Nonlinear Equations & ODEs
Covers exam-like problems on nonlinear equations, ODEs, and numerical methods.