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    ANALYSIS OF FINITE DIFFERENCE SCHEMES

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    772298

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    This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions.

    Finite difference methods are a classical class of techniques for the numerical approximation of partial differential equations. Traditionally, their convergence analysis presupposes the smoothness of the coefficients, source terms, initial and boundary data, and of the associated solution to the differential equation. This then enables the application of elementary analytical tools to explore their stability and accuracy. The assumptions on the smoothness of the data and of the associated analytical solution are however frequently unrealistic. There is a wealth of boundary – and initial – value problems, arising from various applications in physics and engineering, where the data and the corresponding solution exhibit lack of regularity.

    In such instances classical techniques for the error analysis of finite difference schemes break down. The objective of this book is to develop the mathematical theory of finite difference schemes for linear partial differential equations with nonsmooth solutions.
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    ISBN9781447154594
    Pré vendaNão
    Peso456g
    Autor para link
    Livro disponível - pronta entregaSim
    Dimensões23 x 16 x 1
    IdiomaInglês
    Tipo itemLivro Importado
    Número de páginas408
    Número da edição1ª EDIÇÃO - 2014
    Código Interno772298
    Código de barras9781447154594
    AcabamentoHARDCOVER
    AutorJOVANOVIC, BOSCO S.
    EditoraSPRINGER
    Sob encomendaNão
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