دانلود کتاب Numerical Methods, Volume 3

This series of five volumes proposes an integrated description of physical processes modeling used by scientific disciplines from meteorology to coastal morphodynamics. Volume 1 describes the physical processes and identifies the main measurement devices used to measure the main parameters that are indispensable to implement all these simulation tools. Volume 2 presents the different theories in an integrated approach: mathematical models as well as conceptual models, used by all disciplines to represent these processes. Volume 3 identifies the main numerical methods used in all these scientific fields to translate mathematical models into numerical tools. Volume 4 is composed of a series of case studies, dedicated to practical applications of these tools in engineering problems. To complete this presentation, volume 5 identifies and describes the modeling software in each discipline.Content: Chapter 1 Feedback on the Notion of a Model and the Need for Calibration (pages 1–10): Denis DartusChapter 2 Engineering Model and Real?Time Model (pages 11–30): Jean?Michel TanguyChapter 3 From Mathematical Model to Numerical Model (pages 31–58): Jean?Michel TanguyChapter 4 Problematic Issues Encountered (pages 59–68): Marie?Madeleine MaubourguetChapter 5 General Presentation of Numerical Methods (pages 71–94): Serge Piperno and Alexandre ErnChapter 6 Finite Differences (pages 95–107): Marie?Madeleine Maubourguet and Jean?Michel TanguyChapter 7 Introduction to the Finite Element Method (pages 109–159): Jean?Michel TanguyChapter 8 Presentation of the Finite Volume Method (pages 161–211): Alexandre Ern, Serge Piperno and Dominique ThieryChapter 9 Spectral Methods in Meteorology (pages 213–234): Jean CoiffierChapter 10 Numerical?Scheme Study (pages 235–265): Jean?Michel TanguyChapter 11 Resolution Methods (pages 267–272): Marie?Madeleine MaubourguetChapter 12 Data Assimilation (pages 273–293): Jean Pailleux, Denis Dartus, Xijun Lai, Jerome Monnier and Marc HonnoratChapter 13 Data Assimilation Methodology (pages 295–347): Helene Bessiere, Helene Roux, Francois?Xavier Le Dimet and Denis Dartus