Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Two-scale approach to oscillatory singularly perturbed transport equations / Emmanuel Frenod.

By: Material type: TextTextSeries: Lecture notes in mathematics ; 2190.Publication details: Cham : Springer, 2017.Description: xi, 124 pages : illustrations (some color) ; 24 cmISBN:
  • 9783319646671 (alk. paper)
Subject(s): DDC classification:
  • 518 23 F879
Contents:
1. introduction -- 2. Two-scale convergence: definition and results -- 3. Applications -- 4. Introduction -- 5. Two-scale numerical method for the long-term forecast of the drift of objects in an ocean with tide and wind -- 6. Two-scale numerical method for the simulation of particle beams in a focussing channel.
Summary: This book presents the classical results of the two-scale convergence theory and explains – using several figures – why it works. It then shows how to use this theory to homogenize ordinary differential equations with oscillating coefficients as well as oscillatory singularly perturbed ordinary differential equations. In addition, it explores the homogenization of hyperbolic partial differential equations with oscillating coefficients and linear oscillatory singularly perturbed hyperbolic partial differential equations. Further, it introduces readers to the two-scale numerical methods that can be built from the previous approaches to solve oscillatory singularly perturbed transport equations (ODE and hyperbolic PDE) and demonstrates how they can be used efficiently. This book appeals to master’s and PhD students interested in homogenization and numerics, as well as to the Iter community.
Tags from this library: No tags from this library for this title. Log in to add tags.
Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 518 F879 (Browse shelf(Opens below)) Available 138243
Total holds: 0

Include bibliographical references.

1. introduction --
2. Two-scale convergence: definition and results --
3. Applications --
4. Introduction --
5. Two-scale numerical method for the long-term forecast of the drift of objects in an ocean with tide and wind --
6. Two-scale numerical method for the simulation of particle beams in a focussing channel.

This book presents the classical results of the two-scale convergence theory and explains – using several figures – why it works. It then shows how to use this theory to homogenize ordinary differential equations with oscillating coefficients as well as oscillatory singularly perturbed ordinary differential equations. In addition, it explores the homogenization of hyperbolic partial differential equations with oscillating coefficients and linear oscillatory singularly perturbed hyperbolic partial differential equations. Further, it introduces readers to the two-scale numerical methods that can be built from the previous approaches to solve oscillatory singularly perturbed transport equations (ODE and hyperbolic PDE) and demonstrates how they can be used efficiently. This book appeals to master’s and PhD students interested in homogenization and numerics, as well as to the Iter community.

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in