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Unformatted text preview: (d) Can one obtain a larger interval of absolute stability by relaxing the restriction on accuracy (e.g., accepting rst order accuracy)? Justify your answer. 3. Consider the equation u tt = u xx to be solved for x 1 , t > with initial data u ( x, 0) = u ( x ) u t ( x, 0) = u 1 ( x ) where u ,u 1 are smooth and vanishing near x = 0, x = 1. (a) Give boundary conditions at x = 0 and x = 1 to make this a well-posed problem. (b) Give a stable, convergent numerical approximation to this initial boundary value problem. 1...
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This note was uploaded on 06/19/2011 for the course MATH 684 taught by Professor Na during the Spring '11 term at University of North Carolina School of the Arts.
- Spring '11
- Numerical Analysis