http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
mathematical models and numerical experiments
1 online resource (xii, 292 pages) : illustrations
Ocean Tides: Mathematical Models and Numerical Experiments discusses the mathematical concepts involved in understanding the behavior of oceanic tides. The book utilizes mathematical models and equations to interpret physical peculiarities of tidal generation.
Front Cover; Ocean Tides: Mathematical Models and Numerical Experiments; Copyright Page; Foreword; Preface; Table of Contents; Introduction; CHAPTER 1. Indispensable Information on the Theory of Tides; 1.1 Forces Inducing Ocean Tides; 1.2. Tidal Potential; 1.3. Equations of Tidal Dynamics; 1.4. Additional Potentials of Deformation; 1.5. Boundary Conditions; 1.6. References; CHAPTER 2. Studies on the Equations of Tidal Dynamics; 2.1. Formulation of the Problem; 2.2. Basic Notions and Definitions; 2.3. Uniqueness Theorem; 2.4. A priori Estimates; 2.5. Existence Theorem
2.6. On the Existence of a Periodic Solutionof the Equations of Tidal Dynamics2.7. Conjugate Equations of Tidal Dynamics; 2.8. The Perturbation Theory; 2.9. The Spectral Problem; 2.10. References; CHAPTER 3. Numerical Methods for the Solutionof the Equations of Tidal Dynamics; 3.1. Method of Boundary Values; 3.2. HN-method; 3.3. Modified Variant of the HN-method; 3.4. The Method of Fractional Steps; 3.5. A Modified Variant of the Method of Fractional Steps; 3.6. References; CHAPTER 4. Tides in the World Ocean; 4.1. Empirical Cotidal Charts
4.2. Basic Features of the Spatial Distributionof Tides in the World Ocean4.3. An Example of Numerical Modellingof Tides in the World Ocean; 4.4. Some Other Calculations of Tides in the World Ocean; 4.5. Numerical Experiments on Tidal Dynamics in the World Ocean; 4.6. Estimation of the Rate of Tidal Energy Dissipationin the open Ocean; 4.7. References; CHAPTER 5. The Bottom Boundary Layerin Tidal Flows; 5.1. Some Definitions; 5.2. Experimental Data; 5.3. Theoretical Models of the Bottom Boundary Layer in Tidal Flows; 5.4. On the Resistance Law in Tidal Flow; 5.5 References
CHAPTER 6. Vertical Structure of InternalTidal Waves6.1. Generation of Internal Tidal Waves; 6.2. Qualitative Analysis of the Equations for Internal Waves; 6.3. Vertical Structure of Internal Tidal Waves in a RealisticallyStratified Ocean; 6.4. References; Bibliography; Additional References; AppendixNotes added to the proofs; Index
G.I. Marchuk and B.A. Kagan ; translated by E.V. Blinova and L. Ya. Yusina ; translation editor, D.E. Cartwright.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
Includes bibliographical references and index.
Oxford ; New York : Pergamon Press, 1984