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Elements of scientific computing : with 88 figures and 18 tables
- ISBN:9783642112980
- ISBN:3642112986
- ISBN:9783642112997
- Call Number : Q 183 .9 .E446 2010
- Title:Elements of scientific computing : with 88 figures and 18 tables [electronic resource] / Aslak Tveito ... [et al.].
- Publisher:Berlin : Springer, 2010.
- Physical Description:xii, 459 p. : ill. ; 24 cm
- Series:Texts in computational science and engineering, 1611-0994; 7
- Notes:Includes bibliographical references and index
- Subject:Science -- Data processing.
- Subject:Numerical analysis -- Data processing.
- Added Entry:Tveito, Aslak, 1961-
- Cover
- Texts in Computational Science and Engineering, Volume 7
- 1 Computing Integrals
- 2 Differential Equations: The First Steps
- 3 Systems of Ordinary Differential Equations
- 4 Nonlinear Algebraic Equations
- 5 The Method of Least Squares
- 6 About Scientific Software
- 7 The Diffusion Equation
- 8 Analysis of the Diffusion Equation
- 8.1 Properties of the Solution
- 8.2 Separation of Variables and Fourier Analysis
- 8.2.1 Separation of Variables
- 8.2.2 Super-Positioning
- 8.2.3 Fourier Series and the Initial Condition
- 8.2.4 Some Simple Examples
- 8.2.5 Initial Conditions Given by a Sum of Sine Functions
- 8.2.6 Computing Fourier Sine Series
- 8.2.7 Summary
- 8.2.8 More Examples
- 8.2.9 Analysis of an Explicit Finite Difference Scheme
- 8.2.10 Consequences of the Stability Criterion
- 8.2.11 Exercises
- 8.3 Projects
- 9 Parameter Estimation and Inverse Problems
- 10 A Glimpse of Parallel Computing
- References
- Index
- Editorial Policy
- General Remarks
- Series Editors
- Texts in Computational Scienceand Engineering
- Monographs in Computational Science and Engineering
- Lecture Notesin Computational Scienceand Engineering