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4 cards from this section. Quick, good the night before a test.
Define the domain of dependence.
Think about where initial conditions play a role.
What is a key characteristic of an elliptic PDE?
Consider how influence overlaps in certain PDEs.
What is the domain of dependence?
Focus on where solutions depend.
Elliptic PDEs have what characteristic?
Remember how these terms are defined in your studies.
Given an initial condition for a diffusion process, derive the finite difference approximation for the time-stepping solution.
Utilize the Taylor series to guide your approximations.
Explore how changing boundary conditions in an elliptic PDE might affect the solution profile.
Consider how different limits may create divergence or convergence in solutions.
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