Numerical bifurcation and stability analysis for steady-states of reaction diffusion equations (Q1370360)

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scientific article; zbMATH DE number 1078376
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Numerical bifurcation and stability analysis for steady-states of reaction diffusion equations
scientific article; zbMATH DE number 1078376

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    Numerical bifurcation and stability analysis for steady-states of reaction diffusion equations (English)
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    2 June 1998
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    A numerical bifurcation and stability analysis for steady-states of reaction diffusion equations is considered. A finite element method that can be used for computing the bifurcation functions \(B\) and \(B_c\) is proposed. The stability properties of the solutions can be characterized by using the eigenvalues of the matrix \(B_c (c, \lambda)\). An overview on the results and the finite element method is given.
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    elliptic problem
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    finite element method
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    stability of steady-states
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    bifurcation
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    reaction diffusion equations
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