Introduction to Numerical Methods In Differential Equations / (Record no. 6957)

MARC details
000 -LEADER
fixed length control field 02328nam a2200229 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20251110154355.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 241210b |||||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781493976324
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 518.6
Item number HolI
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Holmes, Mark H.
245 ## - TITLE STATEMENT
Title Introduction to Numerical Methods In Differential Equations /
Statement of responsibility, etc Mark H. Holmes
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication New York :
Name of publisher Springer,
Year of publication ©2007
300 ## - PHYSICAL DESCRIPTION
Number of Pages xi, 238p.
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Texts in Applied Mathematics
Volume number/sequential designation v.52
520 ## - SUMMARY, ETC.
Summary, etc The title gives a reasonable ?rst-order approximation to what this book is about. To explain why, let’s start with the expression “di?erential equations.” These are essential in science and engineering, because the laws of nature t- ically result in equations relating spatial and temporal changes in one or more variables.Todevelopanunderstandingofwhatisinvolvedin?ndingsolutions, the book begins with problems involving derivatives for only one independent variable, and these give rise to ordinary di?erential equations. Speci?cally, the ?rst chapter considers initial value problems (time derivatives), and the second concentrates on boundary value problems (space derivatives). In the succeeding four chapters problems involving both time and space derivatives, partial di?erential equations, are investigated. This brings us to the next expression in the title: “numerical methods.” This is a book about how to transform differential equations into problems that can be solved using a computer.The fact is that computers are only able to solve discrete problems and generally do this using ?nite-precision arithmetic. What this means is that in deriving and then using a numerical algorithmthecorrectnessofthediscreteapproximationmustbeconsidered,as must the consequences of round-o? error in using ?oating-point arithmetic to calculatetheanswer.Oneoftheinterestingaspectsofthesubjectisthatwhat appears to be an obviously correct numerical method can result in complete failure. Consequently, although the book concentrates on the derivation and use of numerical methods, the theoretical underpinnings are also presented andusedinthedevelopment.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Differential Equations
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Partial Differential Equations
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Ordinary Differential Equations
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Numerical Analysis
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Damaged status Collection code Home library Current library Shelving location Date acquired Source of acquisition Purchase Price Bill number Full call number Accession Number Copy number Print Price Bill Date/Price effective from Koha item type
      Mathematics Indian Institute of Technology Tirupati Indian Institute of Technology Tirupati General Stacks 30/09/2025 Shri Raghavendra Global Books 486.50 9349 518.6 HolI (11984) 11984 Copy 1 695.00 30/09/2025 Books