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...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Hoboken, New Jersey
Wiley
[2014]
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| Links: | https://learning.oreilly.com/library/view/-/9781118838914/?ar |
| Summary: | 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. |
| Item Description: | Includes bibliographical references and index. - Print version record and CIP data provided by publisher |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9781118838914 1118838912 9781118838907 1118838904 9781118839010 1118839013 1118838955 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, H. VerfasserIn aut Introduction to numerical methods for time dependent differential equations Heinz-Otto Kreiss, Trasko-Storo Institute of Mathematics, Stockholm, Sweden, Omar Eduardo Ortiz, Facultad de Matmática Astronmía y Física, Universidad Nacional de Córdoba, Córdoba, Argentina Hoboken, New Jersey Wiley [2014] 1 Online-Ressource Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Includes bibliographical references and index. - Print version record and CIP data provided by publisher 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. Differential equations, Partial Numerical solutions Équations aux dérivées partielles ; Solutions numériques MATHEMATICS ; Calculus MATHEMATICS ; Mathematical Analysis Differential equations, Partial ; Numerical solutions Ortiz, Omar Eduardo 1965- MitwirkendeR ctb 9781118838952 Erscheint auch als Druck-Ausgabe 9781118838952 |
| spellingShingle | Kreiss, H. Introduction to numerical methods for time dependent differential equations Differential equations, Partial Numerical solutions Équations aux dérivées partielles ; Solutions numériques MATHEMATICS ; Calculus MATHEMATICS ; Mathematical Analysis Differential equations, Partial ; Numerical solutions |
| 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 Heinz-Otto Kreiss, Trasko-Storo Institute of Mathematics, Stockholm, Sweden, Omar Eduardo Ortiz, Facultad de Matmática Astronmía y Física, Universidad Nacional de Córdoba, Córdoba, Argentina |
| title_fullStr | Introduction to numerical methods for time dependent differential equations Heinz-Otto Kreiss, Trasko-Storo Institute of Mathematics, Stockholm, Sweden, Omar Eduardo Ortiz, Facultad de Matmática Astronmía y Física, Universidad Nacional de Córdoba, Córdoba, Argentina |
| title_full_unstemmed | Introduction to numerical methods for time dependent differential equations Heinz-Otto Kreiss, Trasko-Storo Institute of Mathematics, Stockholm, Sweden, Omar Eduardo Ortiz, Facultad de Matmática Astronmía y Física, Universidad Nacional de Córdoba, Córdoba, Argentina |
| title_short | Introduction to numerical methods for time dependent differential equations |
| title_sort | introduction to numerical methods for time dependent differential equations |
| topic | Differential equations, Partial Numerical solutions Équations aux dérivées partielles ; Solutions numériques MATHEMATICS ; Calculus MATHEMATICS ; Mathematical Analysis Differential equations, Partial ; Numerical solutions |
| topic_facet | Differential equations, Partial Numerical solutions Équations aux dérivées partielles ; Solutions numériques MATHEMATICS ; Calculus MATHEMATICS ; Mathematical Analysis Differential equations, Partial ; Numerical solutions |
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