Resumo de Cálculo Numérico

Prévia do material em texto

NUMÉRICO
SEMANA 1
1. Zero de funções reais-Localização de Raízes
a.
b.
2. FASE I – Isolamento das raízes:
a.
b.
3. Exercício:
a.
https://drive.google.com/drive/u/0/folders/0B5om7MssGxEEfl93cmFOLU56ZHp6OElDZ1Foa2pucDBNSV9mYVVUYnBDa0tHOXZpVFZQejA
SEMANA 2:
1. Iteracoes
2. Zero de funções reais-Refinamento-Método da Bisseção
(https://pt.planetcalc.com/3718/)
https://pt.planetcalc.com/3718/
a.
b.
c.
d.
e.
3. Método da Posição Falsa:
a.
b.
c.
d. Exercicio
https://docs.google.com/spreadsheets/d/12IGPwPyBU4RlhFy_FxOVRt8wGmixZQQ9SQ5Vazb0PL4/edit
SEMANA 3
1. Método do Ponto Fixo (MPF)
a.
b.
c.
d.
e.
f.
2. Exercício:
https://pt.planetcalc.com/2824/
https://www.ime.unicamp.br/~valle/Teaching/MS211/Aula10.pdf
https://docs.google.com/spreadsheets/d/1O278xJ_6r_5zJpj1Je7Yksb5mSs8AvwLiihPNeIbzv8/edit#gid=0
https://pt.planetcalc.com/2824/
https://www.ime.unicamp.br/~valle/Teaching/MS211/Aula10.pdf
SEMANA 4:
1. Método de Newton-Raphson
a.
b.
c.
d. https://pt.planetcalc.com/7748/
e. Wolfram|Alpha Widgets: "Metodo de Newton-Raphson" - Free Mathematics
Widget
2. Método da Secante
a. https://pt.planetcalc.com/3706/
b. https://www.wolframalpha.com/widgets/view.jsp?id=51c2f5f8f3b01b9758b4b61
4�60b59a
3. Exercicio
https://pt.planetcalc.com/7748/
https://www.wolframalpha.com/widgets/view.jsp?id=20e0b2135f2479705b13b7b3e9a88582
https://www.wolframalpha.com/widgets/view.jsp?id=20e0b2135f2479705b13b7b3e9a88582
https://pt.planetcalc.com/3706/
https://www.wolframalpha.com/widgets/view.jsp?id=51c2f5f8f3b01b9758b4b614ff60b59a
https://www.wolframalpha.com/widgets/view.jsp?id=51c2f5f8f3b01b9758b4b614ff60b59a
https://docs.google.com/spreadsheets/d/1P-YTwJZMWDacBftMzyEMv_83ADk1s5DXWSLyLPJ9X6w/edit#gid=0
SEMANA 5:
1. Sistema de Equações Lineares
a.
b.
c.
d.
e.
f.
g. SISTEMAS TRIANGULARES
i. Inferior:
ii. Superior: mesma coisa mas comecando de n
2. MÉTODO DA ELIMINAÇÃO DE GAUSS
a. exercicio
b. https://matrix.reshish.com/gauss-jordanElimination.php
c. https://matrixcalc.org/pt/slu.html
d. pivoteamento parcial:
https://drive.google.com/drive/u/0/folders/0B5om7MssGxEEfl93cmFOLU56ZHp6OElDZ1Foa2pucDBNSV9mYVVUYnBDa0tHOXZpVFZQejA
https://matrix.reshish.com/gauss-jordanElimination.php
https://matrixcalc.org/pt/slu.html
SEMANA 6:
1. Método Iterativos: Gauss-Jacobi
a.
b.
c.
d.
e.
f. https://atozmath.com/CONM/GaussEli.aspx?q=GJ2
g. tem exemplo
2. Método Iterativos: Gauss-Seidel:
a.
b. https://atozmath.com/CONM/GaussEli.aspx?q=GS2
https://atozmath.com/CONM/GaussEli.aspx?q=GJ2
https://atozmath.com/CONM/GaussEli.aspx?q=GS2
SEMANA 7:
1. Resolução de Sistemas Não Lineares
a.
b.
c.
i. Método de Newton
1.
2.
3.
4.
5. TEM SOLUCAO
6.