Geodesic
Numerical realization of the method of functional-analytic series for projecting on a stable manifold
Numerical methods and programming, Tome 7 (2006) no. 1, pp. 61-68

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The problem of initial data projecting on a stable manifold for a Chafee-Infante-type equation is solved numerically by the method of functional-analytic series. Several computational formulas are deduced, some peculiarities of practical realization are discussed, and a number of numerical results obtained for the case of quadratic nonlinearity are presented.
Keywords: Chafee-Infante equation, stable manifolds, functional-analytic series. 
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     author = {A. B. Kalinina},
     title = {Numerical realization of the method of functional-analytic series for projecting on a stable manifold},
     journal = {Numerical methods and programming},
     pages = {61--68},
     publisher = {mathdoc},
     volume = {7},
     number = {1},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2006_7_1_a7/}
}
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A. B. Kalinina. Numerical realization of the method of functional-analytic series for projecting on a stable manifold. Numerical methods and programming, Tome 7 (2006) no. 1, pp. 61-68. http://geodesic.mathdoc.fr/item/VMP_2006_7_1_a7/