by Alfio Quarteroni, Riccardo Sacco, Fausto Saleri.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
New York, NY :
نام ناشر، پخش کننده و غيره
Imprint: Springer,
تاریخ نشرو بخش و غیره
2007.
فروست
عنوان فروست
Texts in Applied Mathematics,
مشخصه جلد
37
شاپا ي ISSN فروست
0939-2475 ;
یادداشتهای مربوط به مندرجات
متن يادداشت
Getting Started -- Foundations of Matrix Analysis -- Principles of Numerical Mathematics -- Numerical Linear Algebra -- Direct Methods for the Solution of Linear Systems -- Iterative Methods for Solving Linear Systems -- Approximation of Eigenvalues and Eigenvectors -- Around Functions and Functionals -- Rootfinding for Nonlinear Equations -- Nonlinear Systems and Numerical Optimization -- Polynomial Interpolation -- Numerical Integration -- Transforms, Differentiation and Problem Discretization -- Orthogonal Polynomials in Approximation Theory -- Numerical Solution of Ordinary Differential Equations -- Two-Point Boundary Value Problems -- Parabolic and Hyperbolic Initial Boundary Value Problems.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
Numerical mathematics is the branch of mathematics that proposes, develops, analyzes and applies methods from scientific computing to several fields including analysis, linear algebra, geometry, approximation theory, functional equations, optimization and differential equations. Other disciplines, such as physics, the natural and biological sciences, engineering, and economics and the financial sciences frequently give rise to problems that need scientific computing for their solutions. As such, numerical mathematics is the crossroad of several disciplines of great relevance in modern applied sciences, and can become a crucial tool for their qualitative and quantitative analysis. One of the purposes of this book is to provide the mathematical foundations of numerical methods, to analyze their basic theoretical properties (stability, accuracy, computational complexity) and demonstrate their performances on examples and counterexamples which outline their pros and cons. This is done using the MATLAB software environment which is user-friendly and widely adopted. Within any specific class of problems, the most appropriate scientific computing algorithms are reviewed, their theoretical analyses are carried out and the expected results are verified on a MATLAB computer implementation. Every chapter is supplied with examples, exercises and applications of the discussed theory to the solution of real-life problems. This book is addressed to senior undergraduate and graduate students with particular focus on degree courses in Engineering, Mathematics, Physics and Computer Sciences. The attention which is paid to the applications and the related development of software makes it valuable also for researchers and users of scientific computing in a large variety of professional fields.
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9781475773941
قطعه
عنوان
Springer eBooks
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Analysis (Mathematics).
موضوع مستند نشده
Applied mathematics.
موضوع مستند نشده
Engineering mathematics.
موضوع مستند نشده
Mathematical analysis.
موضوع مستند نشده
Mathematics.
موضوع مستند نشده
Numerical analysis.
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )