Nyob rau hauv rooj plaub ntawm kev ua haujlwm quadratic, the Simpsons txoj kev muab qhov kwv yees zoo tshaj plaws thiab Trapezoidal muab qhov phem tshaj plaws. Tom ntej no, rau qhov kev ua haujlwm trigonometric, Simpsons muab qhov kwv yees qhov tseeb tshaj plaws thaum Trapezoidal muab qhov kwv yees qhov tseeb tshaj plaws.
Puas yog Simpsons muaj tseeb dua li trapezoidal?
Simpson txoj cai yog ib txoj hauv kev ntawm kev suav lej uas yog zoo deal ntau dua li txoj cai Trapezoidal, thiab yuav tsum tau siv ib txwm siv ua ntej koj sim txhua yam fancier.
Puas yog cov mis trapezoidal muab cov txiaj ntsig zoo dua li Simpson's 1/3 mis?
Siv cov qauv tsim nyog quadrature tawm ntawm lub trapezoidal thiab Simpson txoj cai kom suav nrog suav nrog ∫10dx1 + x2 nrog h=0.2. Li no tau txais tus nqi kwv yees ntawm π. Ua kom pom tseeb qhov kev siv ntawm ib qho qauv quadrature. Hauv qhov teeb meem no trapezoidal txoj cai muab kev daws zoo dua li Simpson txoj cai 1/3.
Puas yog txoj cai trapezoidal tib yam li Simpson txoj cai?
Ob txoj cai siv dav rau thaj chaw kwv yees yog txoj cai trapezoidalthiab Simpson txoj cai. … Cov nuj nqis muaj nuj nqi ntawm ob lub ntsiab lus hauv lub sijhawm yog siv nyob rau hauv qhov kwv yees. Thaum Simpson txoj cai siv qhov tsim nyog xaiv parabolic (saib Tshooj 4.6 ntawm cov ntawv nyeem) thiab siv cov haujlwm ntawm peb lub ntsiab lus.
Vim li cas Simpson txoj cai thiaj nyiam tshaj txoj cai trapezoidal?
Yog vim li cas tom qab qhov no yog Simpson Txoj Cai ua rau siv lub quadratic approximation es tsis txhob linear approximationSimpson's Rule as well as Trapezoidal Rule muab qhov kwv yees tus nqi, tab sis qhov tshwm sim ntawm Simpson's Txoj cai muaj qhov tseeb tshaj qhov kwv yees tus nqi ntawm qhov sib xyaw.
