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The Cell Method by Elena Ferretti

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CHAPTER 6

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THEPROBLEM OF THE SPURIOUS SOLUTIONS IN COMPUTATIONAL PHYSICS

In Section 6.1, we analyze the mathematical structure of the fundamental equations, which can be classified as elliptic, parabolic, and hyperbolic fundamental equations. The solution of the fundamental equation is then discussed with regard to the exact closed form and the numerical solutions. A brief discussion on the stability of some numerical methods of the first- and the second-orders is also presented, in order to compare the CM with the most commonly used numerical techniques. In particular, the coboundary process in time-domain, used by the CM, is found to be very ...

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