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A numerical algorithm for blow-up problems revisited - MaRDI portal

A numerical algorithm for blow-up problems revisited (Q2407867)

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A numerical algorithm for blow-up problems revisited
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    A numerical algorithm for blow-up problems revisited (English)
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    6 October 2017
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    Blow-up or not for the solution of evolution equations has been an important problem both mathematically and physically. There are many mathematical techniques built to establish blow-up. However, numerical approximations for such a kind of solutions seem not to have been well-investigated. The author investigates an algorithm proposed for the computation of blow-up problems and discusses its applicability to reproduce various blow-up behaviors. Although some of them still need mathematical proofs, it seems that the algorithm does provide many useful information.
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    blow-up
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    finite difference method
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    numerical blow-up
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    numerical blow-up time
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    evolution equations
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    algorithm
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