Nonlinear model reduction via discrete empirical interpolation. (English) Zbl 1217.65169

Chaturantabut, Saifon; Sorensen, Danny C.

SIAM J. Sci. Comput. 32, No. 5, 2737-2764 (2010).

MSC:

65M06	Finite difference methods for initial value and initial-boundary value problems involving PDEs
35K55	Nonlinear parabolic equations
65L05	Numerical methods for initial value problems
65Y20	Complexity and performance of numerical algorithms

Keywords:

nonlinear model reduction; proper orthogonal decomposition; empirical interpolation methods; nonlinear partial differential equations; numerical examples; computational complexity; finite difference discretization; FitzHugh-Nagumo equations

Software:

ARPACK; rbMIT