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3 cards from this section. Quick, good the night before a test.
What is the purpose of numerical methods?
Think about problems where analytical solutions are impossible.
Name one numerical method used to solve PDEs.
What techniques help us solve equations?
What numerical method approximates derivatives by using a grid?
Think about grid representation of continuous functions.
True or False: Iterative methods can be more efficient than direct methods for large systems.
Consider memory usage in computations.
Using the Finite Difference Method, set up a grid for solving the Laplace equation on a rectangular domain with specific boundary values and calculate approximations for internal grid points.
Remember to define the grid carefully and set boundary conditions accurately.
Explain how the choice of iterative method can affect the efficiency of solving a large system of equations derived from a discretized PDE.
Consider practical scenarios where these methods would be employed in computation.
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