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A Theoretical Introduction to Numerical Analysis
Af: Semyon V. Tsynkov, Victor S. Ryaben'kii Engelsk Paperback
SPAR
kr 103
A Theoretical Introduction to Numerical Analysis
Af: Semyon V. Tsynkov, Victor S. Ryaben'kii Engelsk Paperback
A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study.

An accessible yet rigorous mathematical introduction, this book provides a pedagogical account of the fundamentals of numerical analysis. The authors thoroughly explain basic concepts, such as discretization, error, efficiency, complexity, numerical stability, consistency, and convergence. The text also addresses more complex topics like intrinsic error limits and the effect of smoothness on the accuracy of approximation in the context of Chebyshev interpolation, Gaussian quadratures, and spectral methods for differential equations. Another advanced subject discussed, the method of difference potentials, employs discrete analogues of Calderon’s potentials and boundary projection operators. The authors often delineate various techniques through exercises that require further theoretical study or computer implementation.

By lucidly presenting the central mathematical concepts of numerical methods, A Theoretical Introduction to Numerical Analysis provides a foundational link to more specialized computational work in fluid dynamics, acoustics, and electromagnetism.

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A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study.

An accessible yet rigorous mathematical introduction, this book provides a pedagogical account of the fundamentals of numerical analysis. The authors thoroughly explain basic concepts, such as discretization, error, efficiency, complexity, numerical stability, consistency, and convergence. The text also addresses more complex topics like intrinsic error limits and the effect of smoothness on the accuracy of approximation in the context of Chebyshev interpolation, Gaussian quadratures, and spectral methods for differential equations. Another advanced subject discussed, the method of difference potentials, employs discrete analogues of Calderon’s potentials and boundary projection operators. The authors often delineate various techniques through exercises that require further theoretical study or computer implementation.

By lucidly presenting the central mathematical concepts of numerical methods, A Theoretical Introduction to Numerical Analysis provides a foundational link to more specialized computational work in fluid dynamics, acoustics, and electromagnetism.

Produktdetaljer
Sprog: Engelsk
Sider: 552
ISBN-13: 9780367453398
Indbinding: Paperback
Udgave:
ISBN-10: 0367453398
Kategori: Numerisk analyse
Udg. Dato: 17 dec 2019
Længde: 0mm
Bredde: 234mm
Højde: 156mm
Oplagsdato: 17 dec 2019
Forfatter(e) Semyon V. Tsynkov, Victor S. Ryaben'kii


Kategori Numerisk analyse


Sprog Engelsk


Indbinding Paperback


Sider 552


Udgave


Længde 0mm


Bredde 234mm


Højde 156mm

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