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Gunilla Kreiss: Differentialekvationer som matematiska ... - Skolverket

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@ UU/IT<br />

Diskretisering:<br />

Konvergens:<br />

!<br />

Noggrannhet:<br />

!<br />

UU/IT<br />

Numeriska metoder<br />

t j = j"t, y j # y(t j ) p<br />

y j+1 = y j + "t f(y j ) 1<br />

y j+1 = y j + "t f(y j+1 + y j ) 2<br />

lim<br />

"t#0<br />

! !<br />

max y j % y(t j ) = 0<br />

j"t$T<br />

y j % y(t j ) = &("t p )<br />

Nödvändigt!<br />

stort p bra!<br />

5/14/12 | #15

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