MARC details
| 000 -LEADER |
| fixed length control field |
02800nam a22003497a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
| control field |
20220406155327.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
| fixed length control field |
220406b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
| International Standard Book Number |
9783540344667 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
| Classification number |
518.63 |
| Item number |
ROO |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
| Personal name |
Roos, Hans-Görg |
| 245 ## - TITLE STATEMENT |
| Title |
Robust numerical methods for singularly perturbed differential equations : |
| Remainder of title |
convection-diffusion-reaction and flow problems |
| Statement of responsibility, etc. |
Hans-Görg Roos; M Stynes; L Tobiska |
| 250 ## - EDITION STATEMENT |
| Edition statement |
2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
| Place of publication, distribution, etc. |
Berlin : |
| Name of publisher, distributor, etc. |
Springer-Verlag, |
| Date of publication, distribution, etc. |
©2008. |
| 300 ## - PHYSICAL DESCRIPTION |
| Page number |
xiv, 604 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
25 cm |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
| Title |
Springer series in computational mathematics, |
| Volume/sequential designation |
24. |
| 505 ## - FORMATTED CONTENTS NOTE |
| Formatted contents note |
pt. 1. Ordinary differential equations. --<br/> |
| Title |
The analytical behaviour of solutions --<br/> |
| -- |
Numerical methods for second-order boundary value problems -- |
| 505 ## - FORMATTED CONTENTS NOTE |
| Formatted contents note |
pt. 2. Parabolic initial-boundary value problems in one space dimension. --<br/> |
| Title |
Introduction --<br/> |
| -- |
Analytical behaviour of solutions --<br/> |
| -- |
Finite difference methods --<br/> |
| -- |
Finite element methods --<br/> |
| -- |
Two adaptive methods -- |
| 505 ## - FORMATTED CONTENTS NOTE |
| Formatted contents note |
pt. 3. Elliptic and parabolic problems in several space dimensions. --<br/> |
| Title |
Analytical behaviour of solutions --<br/> |
| -- |
Finite difference methods --<br/> |
| -- |
Finite element methods --<br/> |
| -- |
Time-dependent problems -- |
| 505 ## - FORMATTED CONTENTS NOTE |
| Formatted contents note |
pt. 4. The incompressible Navier-Stokes equations. --<br/> |
| Title |
Existence and uniqueness results --<br/> |
| -- |
Upwind finite element method --<br/> |
| -- |
Higher-order methods of streamline diffusion type --<br/> |
| -- |
Local projection stabilization for equal-order interpolation --<br/> |
| -- |
Local projection method for Inf-Sup stable elements --<br/> |
| -- |
Mass conservation for coupled flow-transport problems --<br/> |
| -- |
Adaptive error control. |
| 520 ## - SUMMARY, ETC. |
| Summary, etc. |
This considerably expanded and completely revised second edition incorporates many new developments in the thriving field of numerical methods for singularly perturbed differential equations. It provides a thorough foundation for the numerical analysis and solution of these problems, which model many physical phenomena whose solutions exhibit layers. The book focuses on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics. It offers a comprehensive overview of suitable numerical methods while emphasizing those with realistic error estimates. The book should be useful for scientists requiring effective numerical methods for singularly perturbed differential equations. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Singular perturbations (Mathematics) |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Numerical analysis |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Navier-Stokes equations |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Boundary value problems |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Finite element method |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Differential equations--Numerical solutions |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Statistics |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
| Personal name |
Stynes, M. |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
| Personal name |
Tobiska, L. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |