| 000 -LEADER |
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| fixed length control field |
a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
250306b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9783031467677 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
003.3 |
| Item number |
SUN |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Sundnes, Joakim |
| 245 ## - TITLE STATEMENT |
|---|
| Title |
Solving ordinary differential equations in Python |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
2024 |
| Place of publication, distribution, etc |
Cham : |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xii, 114 p. ; |
| Other physical details |
ill., |
| Dimensions |
24 cm |
| 365 ## - TRADE PRICE |
|---|
| Price amount |
39.99 |
| Price type code |
$ |
| Unit of pricing |
89.70 |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Simula SpringerBriefs on computing, |
| Volume number/sequential designation |
2512-1685 ; v.15 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This open access volume explains the foundations of modern solvers for ordinary differential equations (ODEs). Formulating and solving ODEs is an essential part of mathematical modeling and computational science, and numerous solvers are available in commercial and open source software. However, no single ODE solver is the best choice for every single problem, and choosing the right solver requires fundamental insight into how the solvers work. This book will provide exactly that insight, to enable students and researchers to select the right solver for any ODE problem of interest, or implement their own solvers if needed. The presentation is compact and accessible, and focuses on the large and widely used class of solvers known as Runge-Kutta methods. Explicit and implicit methods are motivated and explained, as well as methods for error control and automatic time step selection, and all the solvers are implemented as a class hierarchy in Python. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Differential equations |
|
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| Topical term or geographic name as entry element |
A-stable |
|
|---|
| Topical term or geographic name as entry element |
Backward Euler method |
|
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| Topical term or geographic name as entry element |
Difference equations |
|
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| Topical term or geographic name as entry element |
Hodgkin-Huxley model |
|
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| Topical term or geographic name as entry element |
Implicit RK methods; |
|
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| Topical term or geographic name as entry element |
Logistic growth |
|
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| Topical term or geographic name as entry element |
Midpoint method |
|
|---|
| Topical term or geographic name as entry element |
Newton's method |
|
|---|
| Topical term or geographic name as entry element |
ODE systems |
|
|---|
| Topical term or geographic name as entry element |
Ordinary Differential Equations |
|
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| Topical term or geographic name as entry element |
Runge-Kutta methods |
|
|---|
| Topical term or geographic name as entry element |
Taylor series |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
Books |