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Abstract:

Mathematical methods based on the use of the Laplace transform are a standard component of undergraduate education. Real world problems however often yield Laplace space solutions which are too complex to be analytically inverted to expressions in physically meaningful variables. A robust numerical inversion approach is thus desirable. In this talk, I present one of the approaches to compute an approximate inverse, the Weeks method. I will also discuss the difficulties in performing numerical inversion. Finally, I will show how we have been able to utilize Jacket from AccelerEyes in MATLAB to more efficiently and robustly implement the Weeks method.

Mathematical methods based on the use of the Laplace transform are a standard component of undergraduate education. Real world problems however often yield Laplace space solutions which are too complex to be analytically inverted to expressions in physically meaningful variables. A robust numerical inversion approach is thus desirable. In this talk, I present one of the approaches to compute an approximate inverse, the Weeks method. I will also discuss the difficulties in performing numerical inversion. Finally, I will show how we have been able to utilize Jacket from AccelerEyes in MATLAB to more efficiently and robustly implement the Weeks method.

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Topics:
Developer - Algorithms
Type:
Talk
Event:
GTC Silicon Valley
Year:
2012
Session ID:
S2415
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