Applied partial differential equations
Logan, J. David.

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  • Applied partial differential equations
  • 紀錄類型: 書目-電子資源 : Monograph/item
    正題名/作者: Applied partial differential equations/ by J. David Logan.
    作者: Logan, J. David.
    出版者: Cham :Springer International Publishing : : 2015.,
    面頁冊數: xi, 289 p. :ill., digital ;24 cm.
    內容註: Preface to the Third Edition -- To the Students -- 1: The Physical Origins of Partial Differential Equations -- 1.1 PDE Models -- 1.2 Conservation Laws -- 1.3 Diffusion -- 1.4 Diffusion and Randomness -- 1.5 Vibrations and Acoustics -- 1.6 Quantum Mechanics* -- 1.7 Heat Conduction in Higher Dimensions -- 1.8 Laplace's Equation -- 1.9 Classification of PDEs -- 2. Partial Differential Equations on Unbounded Domains -- 2.1 Cauchy Problem for the Heat Equation -- 2.2 Cauchy Problem for the Wave Equation -- 2.3 Well-Posed Problems -- 2.4 Semi-Infinite Domains -- 2.5 Sources and Duhamel's Principle -- 2.6 Laplace Transforms -- 2.7 Fourier Transforms -- 3. Orthogonal Expansions -- 3.1 The Fourier Method -- 3.2 Orthogonal Expansions -- 3.3 Classical Fourier Series.-4. Partial Differential Equations on Bounded Domains -- 4.1 Overview of Separation of Variables -- 4.2 Sturm Liouville Problems - 4.3 Generalization and Singular Problems -- 4.4 Laplace's Equation -- 4.5 Cooling of a Sphere -- 4.6 Diffusion inb a Disk -- 4.7 Sources on Bounded Domains -- 4.8 Poisson's Equation*.-5. Applications in the Life Sciences.-5.1 Age-Structured Models -- 5.2 Traveling Waves Fronts -- 5.3 Equilibria and Stability -- References -- Appendix A. Ordinary Differential Equations -- Index.
    Contained By: Springer eBooks
    標題: Differential equations, Partial. -
    電子資源: http://dx.doi.org/10.1007/978-3-319-12493-3
    ISBN: 9783319124933 (electronic bk.)
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