| 000 -LEADER |
|---|
| fixed length control field |
02255nam a22002537a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
IN-MiVU |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20190807142452.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
|---|
| fixed length control field |
m|||||o||d| 00| 0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
|---|
| fixed length control field |
cr uuuuuuuuuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
180423s2007 xxu||||go|||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9780191709609 ( e-book ) |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
MAIN |
| Language of cataloging |
eng |
| Transcribing agency |
IN-MiVU |
| 041 0# - LANGUAGE CODE |
|---|
| Language code of text/sound track or separate title |
eng |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
515.35 |
| Item number |
BEL/N |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Bellen, Alfredo |
| 245 00 - TITLE STATEMENT |
|---|
| Title |
Numerical Methods for Delay Differential Equations [ electronic resource ] / |
| Statement of responsibility, etc. |
by Alfredo Bellen and Marino Zennaro. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
Oxford: |
| Name of publisher, distributor, etc. |
Oxford Scholarship Online, |
| Date of publication, distribution, etc. |
2007. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
The main purpose of the book is to introduce the numerical integration of the Cauchy problem for delay differential equations (DDEs) and of the neutral type. Comparisons between DDEs and ordinary differential equations (ODEs) are made using examples illustrating some unexpected and often surprising behaviours of the true and numerical solutions. The book briefly reviews the various approaches existing in the literature and develops an error and well-posedness analysis for general one-step and multistep methods. The continuous extensions of Runge-Kutta methods are presented in detail, which are useful for more general problems such as dense output and discontinuous equations. Some deeper insight into convergence and superconvergence is then carried out for DDEs with various kinds of delays. The stepsize control mechanism is developed on a firm mathematical basis. Classical results and an unconventional analysis of stability with respect to forcing term are reviewed for ODEs in view of the subsequent stability analysis for DDEs. Moreover, an exhaustive description of stability domains for some test DDEs is carried out and the corresponding investigations for the numerical methods are made. Reformulations of DDEs as partial differential equations and subsequent semi-discretization are described and compared with the classical approach. A list of available codes is provided. |
| 650 10 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematics |
| 655 #4 - INDEX TERM--GENRE/FORM |
|---|
| Genre/form data or focus term |
electronic books |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Zennaro, Marino |
| Relator term |
joint author |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://doi.org/10.1093/acprof:oso/9780198506546.001.0001">https://doi.org/10.1093/acprof:oso/9780198506546.001.0001</a> |
| Link text |
https://doi.org/10.1093/acprof:oso/9780198506546.001.0001 |
| Public note |
View to click |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Koha item type |
E-Book |
