Gunilla Kreiss: Differentialekvationer som matematiska ... - Skolverket
Gunilla Kreiss: Differentialekvationer som matematiska ... - Skolverket
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