"Translated by Silvia Quarteroni from the original Italian edition: A. Quarteroni, Modellistica Numerica per Problemi Differenziali, 5th ed., Springer-Verlag Italia, Milano, 2012"-- t.p. verso
متن يادداشت
Includes bibliographical references )pages 635-648( and index
یادداشتهای مربوط به عنوان و پدیدآور
متن يادداشت
Alfio Quarteroni
یادداشت های مربوط به نسخه اصلی
متن يادداشت
1
یادداشتهای مربوط به مندرجات
متن يادداشت
1. A brief survey of partial differential equations -- 2. Elements of functional analysis -- 3. Elliptic equations -- 4. The Galerkin finite element method for elliptic problems -- 5. Parabolic equations -- 6. Generation of 1D and 2D grids -- 7. Algorithms for the solution of linear systems -- 8. Elements of finite element programming -- 9. The finite volume method -- 01. Spectral methods -- 11. Discontinuous element methods )DG and mortar( -- 21. Diffusion-transport-reaction equations -- 31. Finite differences for hyperbolic equations -- 41. Finite elements and spectral methods for hyperbolic equations -- 51. Nonlinear hyperbolic problems -- 61. Navier-Stokes equations -- 71. Optimal control of partial differential equations -- 81. Domain decomposition methods -- 91. Reduced basis approximation for parametrized partial differential equations