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Numerical methods for ordinary differential equations
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Related lectures (29)
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Exam Problems: Nonlinear Equations & ODEs
Covers exam-like problems on nonlinear equations, ODEs, and numerical methods.
Numerical Methods: Iterative Techniques
Covers open methods, Newton-Raphson, and secant method for iterative solutions in numerical methods.
Ordinary Differential Equations: Methods and Applications
Explores ordinary differential equations and numerical integration methods for stability and accuracy.
Zero-stability and absolute-stability
Explores zero-stability and absolute-stability in numerical methods, including Forward Euler, Backward Euler, Crank-Nicolson, and Heun's methods.
Numerical Differentiation: Methods and Errors
Explores numerical differentiation methods and round-off errors in computer computations.
ODEs: Introduction and Solutions
Covers Ordinary Differential Equations, first-order solutions, and numerical methods for IVP and BVP.
Numerical Methods: Euler Schemes
Focuses on Euler schemes for numerical approximation of forces and velocities.
Numerics: semester project
Covers the semester project on numerics, focusing on adaptive algorithms and multistep methods.
Numerical Analysis: Introduction to Computational Methods
Covers the basics of numerical analysis and computational methods using Python, focusing on algorithms and practical applications in mathematics.