Lecture 16

22 Abril 2021, 19:00 • Rita Sousa

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Numerical methods for ODEs: well-posedness, Euler's method (1st order) and its error, midpoint method (2nd order), Runge-Kutta method (4th order).

Lecture 15

22 Abril 2021, 17:30 • Rita Sousa

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Ordinary Differential Equations: Qualitative analysis, stability anlysis, applications to predator-prey systems and to epidemiology.

Lecture 14

15 Abril 2021, 19:00 • Rita Sousa

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Ordinary Differential Equations: Linear, second order, scalar ODEs, with constant coefficients; Linear systems of 1st order ODEs.

Lecture 13

15 Abril 2021, 17:30 • Rita Sousa

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Ordinary Differential Equations: Linear, first order, scalar ODEs; Qualitative methods for first order autonomous ODEs.

Lecture 12

25 Março 2021, 19:00 • Rita Sousa

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Ordinary differential equations. Notable examples. Existence and uniqueness theorem. A priori estimate for time of existence.