Continuous numerical solutions of coupled mixed partial differential systems using Fer's factorization (Q1300807)

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scientific article; zbMATH DE number 1331090
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Continuous numerical solutions of coupled mixed partial differential systems using Fer's factorization
scientific article; zbMATH DE number 1331090

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    Continuous numerical solutions of coupled mixed partial differential systems using Fer's factorization (English)
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    2 September 1999
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    Mixed problems for time-dependent systems of the type \[ u_t- A(t) u_{xx}- B(t)u= 0,\quad 0< x< p,\quad t> 0, \] are considered. Exact and continuous numerical solutions in terms of matrix exponentials [à la factorization proposed by \textit{F. Fer}, Acad. Roy. Belgique, Bull. Cl. Sci., V. Ser. 44, 818-829 (1958; Zbl 0083.07502)] are discussed.
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    coupled mixed partial differential systems
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    Fer's factorization
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    matrix exponentials
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