Nonlinear galerkin methods
M Marion, R Temam - SIAM Journal on numerical analysis, 1989 - SIAM
M Marion, R Temam
SIAM Journal on numerical analysis, 1989•SIAMThis article presents a new method of integrating evolution differential equations—the non-
linear Galerkin method—that is well adapted to the long-term integration of such equations.
While the usual Galerkin method can be interpreted as a projection of the considered
equation on a linear space, the methods considered here are related to the projection of the
equation on a nonlinear manifold. From the practical point of view some terms have been
identified as small, and sometimes.(but not always) disregarded.
linear Galerkin method—that is well adapted to the long-term integration of such equations.
While the usual Galerkin method can be interpreted as a projection of the considered
equation on a linear space, the methods considered here are related to the projection of the
equation on a nonlinear manifold. From the practical point of view some terms have been
identified as small, and sometimes.(but not always) disregarded.
This article presents a new method of integrating evolution differential equations—the non-linear Galerkin method—that is well adapted to the long-term integration of such equations.
While the usual Galerkin method can be interpreted as a projection of the considered equation on a linear space, the methods considered here are related to the projection of the equation on a nonlinear manifold. From the practical point of view some terms have been identified as small, and sometimes.(but not always) disregarded.
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