Νumerical Methods for Partial Differential Equations
Classification of Partial Differential Equations. The Finite Difference Method. Finite Difference Solution of the Laplace Equation. Iterative Methods of Solution. Parabolic Partial Differential Equations. Features of Parabolic PDEs. The Forward-Time Centered-Space (FTCS) Method. Consistency, Order, Stability, and Convergence. Implicit Methods. The Backward-Time Centered-Space (BTCS) Method. The Crank Nicolson Method. Hyperbolic Partial Differential Equations. General Features of Hyperbolic. The Forward-Time Centered-Space (FTCS) Method, Upwind Method and the Lax Method. The Wave Equation. Nonlinear Equations and Multidimensional Problems. Conservative form and Global Conservation Property. Finite Volumes Method. Finite Volume Grid. Volume and Surface Integrals.
To give the student in mechanical engineering the knowledge of computational methods that he/she needs in problems arising in mechanical engineering.
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- Skill level All levels
- Language English
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