Numerical Approximation of PDEs

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Covers numerical methods for solving boundary value problems using Crank-Nicolson and FFT.

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

Explores direction fields, Euler methods, and differential equations through practical exercises and stability analysis.

Focuses on Euler schemes for numerical approximation of forces and velocities.

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

Covers chapter 10 on boundary problems in 1D using finite difference methods.

Explores Fourier analysis, PDEs, historical context, heat equation, Laplace equation, and periodic boundary conditions.

Discusses the numerical analysis of pollutant transport equations and their applications in environmental modeling.

Covers error division and schemes for solving differential equations.

Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.