Titlebook: Scientific Computing with MATLAB and Octave; Alfio Quarteroni,Fausto Saleri Textbook 20062nd edition Springer-Verlag Berlin Heidelberg 200

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Numerical differentiation and integration,In this chapter we propose methods for the numerical approximation of derivatives and integrals of functions. Concerning integration, quite often for a generic function it is not possible to find a primitive in an explicit form. Even when a primitive is known, its use might not be easy.

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Eigenvalues and eigenvectors,Given a square matrix A ∈?., the eigenvalue problem consists in finding a scalar λ (real or complex) and a nonnull vector . such that

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Numerical methods for (initial-)boundary-value problems,Boundary-value problems are differential problems set in an interval (., .) of the real line or in an open multidimensional region Ω ? ?. (. = 2, 3) for which the value of the unknown solution (or its derivatives) is prescribed at the end-points . and . of the interval, or on the boundary ?Ω of the multidimensional region.

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Solutions of the exercises,Solution 1.1 Only the numbers of the form ±0.1. · 2. with . = 0,1 and e = ±2,±1,0 belong to the set F(2, 2,?2, 2). For a given exponent, we can represent in this set only the two numbers 0.10 and 0.11, and their opposites. Consequently, the number of elements belonging to F(2, 2,?2, 2) is 20. Finally, ∈. = ?.

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Alfio Quarteroni,Fausto SaleriEasy introduction to scientific computing.Very suitable for the scientific computing part of the everywhere growing CSE courses.Eminently suitable for physicists, chemists, engineers and other scienti

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