Finite volume method

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Mathematics
Discrete mathematics
Discrete exterior calculus

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Related lectures (31)

Finite Difference Methods: Heat Equation Discretization

Explains finite difference methods for heat equation discretization, emphasizing stability and precision in numerical solutions.

Numerical Methods: Boundary Value Problems

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

Euler Methods: Progressive and Retrograde

Covers the finite difference methods for approximating the Cauchy problem and explains the stability and convergence of Euler methods.

Consistency and Stability in Numerical Methods

Explores consistency and stability in numerical methods, emphasizing error analysis and the role of boundary conditions.

Hydroacoustic Modeling: Electrical Analogy

Explores hydroacoustic modeling through electrical analogies, discussing resolution methods, simplified equations, and physical interpretations.

Numerical Approximation of ODEs

Covers the numerical approximation of ODEs using finite difference methods.

Hydroacoustics for Hydroelectric Installations

Explores hydroacoustics for hydroelectric installations, covering water hammer phenomena, rehabilitation of high-pressure shafts, and various resolution methods.

Computational Geomechanics: Poroelasticity and Finite Element Methods

Introduces distinct element methods and poroelasticity in computational geomechanics.

Finite Differences Method

Covers the finite differences method for approximating solutions to differential equations through discretization and linear systems.

Heat Equation in 1D: Chapter 12

Explores the heat equation in 1D, emphasizing conservation of thermal energy and numerical solution methods.

Boundary Value Problems: Numerical Methods

Covers the motivation and examples of boundary value problems, the finite difference method, and the approximation of local derivatives.

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