Mathematical problems and methods in hydrodynamic weather forecasting

Mathematical problems and methods in hydrodynamic weather forecasting

by Gordon, Vladimir

Type Book
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Title Statements

  • Full title :Mathematical problems and methods in hydrodynamic weather forecasting / Vladimir Gordon.

Edition Statements

  • Publication Date:©2000.

Publication Statements

The Physical Object

  • Description:xvii, 824 pages : : illustrations ; : 24 cm

Edition Identifiers

  • ISBN:9056991647, 9789056991647
  • oclc:ocm45454725
  • LC Classification:QC995.5
  • Dewey Decimal:551.6

Table of Contents

1. Equations of dynamical meteorology -- 1.1 Equations of the hydrothermodynamics -- 1.2 First integrals of evolutionary systems -- 1.3 Properties of evolution equations systems -- 1.4 Quasi-linear hyperbolic systems and gas dynamics -- 2. Small parameters and small oscillations -- 2.1 The hydrostatic equation -- 2.2 Free oscillations over the l-plane -- 2.3 Small oscillations of the atmosphere over the spherical surface -- 2.4 Atmospheric front and stability of small oscillations in its vicinity -- 3. Meteorological data processing -- 3.1 Sources of meteorological data -- 3.2 Optimum interpolation method -- 3.3 Variational adjustment of meteorological fields -- 3.4 Solvers for elliptic problems and functional's minimization -- 3.5 Quality control and reconstruction of missing meteorological data -- 3.6 4D data assimilation -- 4. Numerical methods for prognostic systems -- 4.1 Spectral, spectral-difference, finite-element and finite-difference methods for spatial discretization -- 4.2 Vertical discretization of the hydrostatic system and the barotropic models of atmosphere -- 4.3 Linear schemes of integration of evolutional equations -- 4.4 Non-linear schemes for integration of co…

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