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C++ for Scientists - Technische Universität Dresden

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234 CHAPTER 9. HOW TO HANDLE PHYSICS ON THE COMPUTER<br />

⎛<br />

⎜<br />

A = ⎜<br />

⎝<br />

⎜<br />

D = ⎜<br />

⎝<br />

2 −1<br />

−1 2 −1<br />

⎛<br />

⎜<br />

A = ⎜<br />

⎝<br />

⎛<br />

−1 2 −1<br />

−1 2<br />

D −I<br />

−I D −I<br />

4 −1<br />

−1 4 −1<br />

and the (n − 1)x(n − 1) identity matrix I.<br />

9.2 Again, Integrators<br />

⎞<br />

⎟<br />

⎠<br />

−I D −I<br />

−I D<br />

−1 4 −1<br />

−1 4<br />

⎞<br />

⎟<br />

⎠<br />

(n−1)x(n−1)<br />

⎞<br />

⎟<br />

⎠<br />

(n−1)x(n−1)

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