Lecture
Ordinary Differential Equations: Stability and Control
Related lectures (28)
Implicit Schemes in Numerical Analysis
Explores implicit schemes in numerical analysis, emphasizing stability and convergence properties in solving differential equations.
Existence of y: Proofs and EDO Resolution
Covers the proof of the existence of y and the resolution of EDOs with practical examples.
Ordinary Differential Equations: Error Analysis
Explores error analysis in ordinary differential equations and convergence criteria for numerical methods.
Runge Kutta and Multistep Methods
Explores Runge Kutta and multistep methods for solving ODEs, including Backward Euler and Crank-Nicolson.
System of ODEs
Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.
Harmonic Forms and Riemann Surfaces
Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.
Inverse Monotonicity: Stability and Convergence
Explores inverse monotonicity in numerical methods for differential equations, emphasizing stability and convergence criteria.
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
Multistep methods
Covers multistep methods for solving differential equations, focusing on stability conditions and examples.
Numerical Methods: Euler and Crank-Nicolson
Covers Euler and Crank-Nicolson methods for solving differential equations.