Detalhes
MÉTODOS NUMÉRICOS PARA EQUAÇÕES DIFERENCIAIS
Nome da Disciplina: MÉTODOS NUMÉRICOS PARA EQUAÇÕES DIFERENCIAIS
Carga Horária: 60
Créditos: 4
Disciplina Regular: Sim
EMENTA
Métodos para EDO: estabilidade, equações rígidas, equações algébrico-diferenciais.
Métodos para EDP: diferenças finitas, elementos finitos, métodos pseudoespectrais. Teorema de Lax-Richtmyer. Álgebra linear de sistemas esparsos.
Métodos para EDP: diferenças finitas, elementos finitos, métodos pseudoespectrais. Teorema de Lax-Richtmyer. Álgebra linear de sistemas esparsos.
BIBLIOGRAFIA
U. M. Ascher, Numerical Methods for Evolutionary Differential Equations, SIAM, Philadelphia, 2008.
E. Hairer, S. P. Nørsett \& G. Wanner, Solving Ordinary Differential Equations I: Nonstiff Prob- lems, Springer-Verlag, Berlin, 2nd ed. 1993.
E. Hairer & G. Wanner, Solving Ordinary Differential Equations II: Stiff and Differential Algebraic Problems, Springer-Verlag, Berlin, 2nd ed. 1996.
A. Iserles, A First Course in the Numerical Analysis of Differential Equations, Cambridge University Press, Cambridge, 2nd ed. 2008.
K. W. Morton & D. F. Mayers, Numerical Solution of Partial Differential Equations: An Introduction, Cambridge University Press, Cambridge, 2005.
G. Strang & G. Fix, An Analysis of the Finite Element Method, Wellesley–Cambridge Press, Cambridge (Mass.), 2nd ed. 2008.
E. Hairer, S. P. Nørsett \& G. Wanner, Solving Ordinary Differential Equations I: Nonstiff Prob- lems, Springer-Verlag, Berlin, 2nd ed. 1993.
E. Hairer & G. Wanner, Solving Ordinary Differential Equations II: Stiff and Differential Algebraic Problems, Springer-Verlag, Berlin, 2nd ed. 1996.
A. Iserles, A First Course in the Numerical Analysis of Differential Equations, Cambridge University Press, Cambridge, 2nd ed. 2008.
K. W. Morton & D. F. Mayers, Numerical Solution of Partial Differential Equations: An Introduction, Cambridge University Press, Cambridge, 2005.
G. Strang & G. Fix, An Analysis of the Finite Element Method, Wellesley–Cambridge Press, Cambridge (Mass.), 2nd ed. 2008.
VOLTAR
