Advanced Analysis II: Homogeneous ODEs and Banach Spaces

Related lectures (30)

Covers the analysis of speed variation using differential equations and small time intervals.

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Covers ordinary differential equations with separable variables and the conditions for unique solutions in EDOs.

Explores the fixed point method for global convergence in solving nonlinear equations.

Covers the basics of numerical analysis and computational methods using Python, focusing on algorithms and practical applications in mathematics.

Covers the existence and uniqueness of solutions for differential equations.

Covers the solution of ODEs using Picard's iteration and Riccati equations.

Addresses solving non-linear equations and systems numerically using fixed point and Newton's methods.

Covers separable differential equations of order 1, defining separable equations and providing examples.

Explores applying fixed point methods to solve electrical circuit equations and find diode voltage.

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