Numerical Analysis of Differential Equations

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Related lectures (36)

Numerical Integration: Euler Method Log in to Mediaspace to watch this video

Covers the progressive Euler method for numerical integration of ODEs, including Cauchy problems and Runge-Kutta methods.

Inverse Monotonicity: Stability and Convergence Log in to Mediaspace to watch this video

Explores inverse monotonicity in numerical methods for differential equations, emphasizing stability and convergence criteria.

Introduction to Ordinary Differential Equations Log in to Mediaspace to watch this video

Introduces ordinary differential equations, their order, numerical solutions, and practical applications in various scientific fields.

Advanced Analysis II: Isoclines Method Log in to Mediaspace to watch this video

Explores the Isoclines Method and solutions of differential equations with tangents.

Numerical Analysis: Jupyter Notebook Tutorial Log in to Mediaspace to watch this video

Covers course organization, Jupyter Notebook for Python experimentation, algorithms, interpolation, solving equations, linear systems, and practical applications.

Vertical Metronome: Equilibrium and Stability Log in to Mediaspace to watch this video

Explores equilibrium and stability of a vertical metronome system with springs.

Ordinary Differential Equations: Non-linear Analysis Log in to Mediaspace to watch this video

Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.

Poisson Problem: Fourier Transform Approach Log in to Mediaspace to watch this video

Explores solving the Poisson problem using Fourier transform, discussing source terms, boundary conditions, and solution uniqueness.

Introduction and Theoretical Results Log in to Mediaspace to watch this video

Covers the introduction and theoretical results of differential equations with separated variables.

Rolling and Review Log in to Mediaspace to watch this video

Covers pure rotation, rolling without slipping, and converting reference frames in physics.

Ordinary Differential Equations: Cauchy Problem Log in to Mediaspace to watch this video

Explores the Cauchy problem for ordinary differential equations and numerical methods using MATLAB.

Ordinary Differential Equations Log in to Mediaspace to watch this video

Explores the Cauchy problem, stability analysis, Jacobian matrices, eigenvalues, and stability conditions for ordinary differential equations.

Linear Differential Equations: Order 1 Log in to Mediaspace to watch this video

Covers linear differential equations of order 1 and their solutions.

Linear Second Order ODEs Log in to Mediaspace to watch this video

Covers the solution of linear second order ODEs with constant coefficients and explores the method of variation of parameters.

Systems of Linear Equations and Matrices Log in to Mediaspace to watch this video

Covers the definition of linear equations, systems, solutions, and representations in 2D and 3D.

Design of a Detention Basin Log in to Mediaspace to watch this video

Covers the design of a detention basin to protect a damage center from large floods.

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