Introduction to Numerical Methods for Time Dependent Differential Equations:
Introduces both the fundamentals of time dependent differential equations and their numerical solutions Introduction to Numerical Methods for Time Dependent Differential Equations delves into the underlying mathematical theory needed to solve time dependent differential equations numerically. Writte...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Somerset
Wiley
2014
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| Ausgabe: | 1st ed |
| Schlagworte: | |
| Zusammenfassung: | Introduces both the fundamentals of time dependent differential equations and their numerical solutions Introduction to Numerical Methods for Time Dependent Differential Equations delves into the underlying mathematical theory needed to solve time dependent differential equations numerically. Written as a self-contained introduction, the book is divided into two parts to emphasize both ordinary differential equations (ODEs) and partial differential equations (PDEs). Beginning with ODEs and their approximations, the authors provide a crucial presentation of fundamental notions, such as the theory of scalar equations, finite difference approximations, and the Explicit Euler method. Next, a discussion on higher order approximations, implicit methods, multistep methods, Fourier interpolation, PDEs in one space dimension as well as their related systems is provided. Introduction to Numerical Methods for Time Dependent Differential Equations features: A step-by-step discussion of the procedures needed to prove the stability of difference approximations Multiple exercises throughout with select answers, providing readers with a practical guide to understanding the approximations of differential equations A simplified approach in a one space dimension Analytical theory for difference approximations that is particularly useful to clarify procedures Introduction to Numerical Methods for Time Dependent Differential Equations is an excellent textbook for upper-undergraduate courses in applied mathematics, engineering, and physics as well as a useful reference for physical scientists, engineers, numerical analysts, and mathematical modelers who use numerical experiments to test designs or predict and investigate phenomena from many disciplines |
| Beschreibung: | Description based on publisher supplied metadata and other sources |
| Beschreibung: | 1 online resource (192 pages) |
| ISBN: | 9781118838914 9781118838952 |
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| 520 | |a Introduces both the fundamentals of time dependent differential equations and their numerical solutions Introduction to Numerical Methods for Time Dependent Differential Equations delves into the underlying mathematical theory needed to solve time dependent differential equations numerically. Written as a self-contained introduction, the book is divided into two parts to emphasize both ordinary differential equations (ODEs) and partial differential equations (PDEs). Beginning with ODEs and their approximations, the authors provide a crucial presentation of fundamental notions, such as the theory of scalar equations, finite difference approximations, and the Explicit Euler method. Next, a discussion on higher order approximations, implicit methods, multistep methods, Fourier interpolation, PDEs in one space dimension as well as their related systems is provided. Introduction to Numerical Methods for Time Dependent Differential Equations features: A step-by-step discussion of the procedures needed to prove the stability of difference approximations Multiple exercises throughout with select answers, providing readers with a practical guide to understanding the approximations of differential equations A simplified approach in a one space dimension Analytical theory for difference approximations that is particularly useful to clarify procedures Introduction to Numerical Methods for Time Dependent Differential Equations is an excellent textbook for upper-undergraduate courses in applied mathematics, engineering, and physics as well as a useful reference for physical scientists, engineers, numerical analysts, and mathematical modelers who use numerical experiments to test designs or predict and investigate phenomena from many disciplines | ||
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| spelling | Kreiss, Heinz-Otto Verfasser aut Introduction to Numerical Methods for Time Dependent Differential Equations 1st ed Somerset Wiley 2014 © 2014 1 online resource (192 pages) txt rdacontent c rdamedia cr rdacarrier Description based on publisher supplied metadata and other sources Introduces both the fundamentals of time dependent differential equations and their numerical solutions Introduction to Numerical Methods for Time Dependent Differential Equations delves into the underlying mathematical theory needed to solve time dependent differential equations numerically. Written as a self-contained introduction, the book is divided into two parts to emphasize both ordinary differential equations (ODEs) and partial differential equations (PDEs). Beginning with ODEs and their approximations, the authors provide a crucial presentation of fundamental notions, such as the theory of scalar equations, finite difference approximations, and the Explicit Euler method. Next, a discussion on higher order approximations, implicit methods, multistep methods, Fourier interpolation, PDEs in one space dimension as well as their related systems is provided. Introduction to Numerical Methods for Time Dependent Differential Equations features: A step-by-step discussion of the procedures needed to prove the stability of difference approximations Multiple exercises throughout with select answers, providing readers with a practical guide to understanding the approximations of differential equations A simplified approach in a one space dimension Analytical theory for difference approximations that is particularly useful to clarify procedures Introduction to Numerical Methods for Time Dependent Differential Equations is an excellent textbook for upper-undergraduate courses in applied mathematics, engineering, and physics as well as a useful reference for physical scientists, engineers, numerical analysts, and mathematical modelers who use numerical experiments to test designs or predict and investigate phenomena from many disciplines Conservation laws (Mathematics) Decomposition method Differential equations, Partial -- Numerical solutions Differential equations Finite volume method Zeitabhängige Methode (DE-588)4279451-1 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 s Zeitabhängige Methode (DE-588)4279451-1 s Differentialgleichung (DE-588)4012249-9 s 1\p DE-604 Ortiz, Omar Eduardo Sonstige oth Kreiss, H. Sonstige oth Erscheint auch als Druck-Ausgabe Kreiss, Heinz-Otto Introduction to Numerical Methods for Time Dependent Differential Equations 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kreiss, Heinz-Otto Introduction to Numerical Methods for Time Dependent Differential Equations Conservation laws (Mathematics) Decomposition method Differential equations, Partial -- Numerical solutions Differential equations Finite volume method Zeitabhängige Methode (DE-588)4279451-1 gnd Differentialgleichung (DE-588)4012249-9 gnd Numerische Mathematik (DE-588)4042805-9 gnd |
| subject_GND | (DE-588)4279451-1 (DE-588)4012249-9 (DE-588)4042805-9 |
| title | Introduction to Numerical Methods for Time Dependent Differential Equations |
| title_auth | Introduction to Numerical Methods for Time Dependent Differential Equations |
| title_exact_search | Introduction to Numerical Methods for Time Dependent Differential Equations |
| title_full | Introduction to Numerical Methods for Time Dependent Differential Equations |
| title_fullStr | Introduction to Numerical Methods for Time Dependent Differential Equations |
| title_full_unstemmed | Introduction to Numerical Methods for Time Dependent Differential Equations |
| title_short | Introduction to Numerical Methods for Time Dependent Differential Equations |
| title_sort | introduction to numerical methods for time dependent differential equations |
| topic | Conservation laws (Mathematics) Decomposition method Differential equations, Partial -- Numerical solutions Differential equations Finite volume method Zeitabhängige Methode (DE-588)4279451-1 gnd Differentialgleichung (DE-588)4012249-9 gnd Numerische Mathematik (DE-588)4042805-9 gnd |
| topic_facet | Conservation laws (Mathematics) Decomposition method Differential equations, Partial -- Numerical solutions Differential equations Finite volume method Zeitabhängige Methode Differentialgleichung Numerische Mathematik |
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