Climate Modeling: Equations, Numerical Solutions, and Uncertainties

Related lectures (26)

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Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Covers the basics of climate models, uncertainties in projections, and the complexity of Earth system models.

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

Explores boundary value problems, finite difference method, and Joule heating examples in 1D.

Introduces the finite difference method for approximating derivatives and solving differential equations in practical applications.

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

Covers the differential approach to fluid dynamics, focusing on conservation laws and the Cauchy stress tensor.

Explores integrating loads to deform beams, emphasizing boundary conditions and practical applications in stress analysis.

Explores power series solutions in quantum mechanics for differential equations and energy quantization.

Covers the Runge-Kutta method for approximating solutions of differential equations.