Numerical method

Uniform Approximation

The subject of uniform approximation is distinctly more complicated than that of…

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August 17, 2021

An Example Of Orthogonal Polynomial Least-Squares Approximation

Chebyshev polynomials of the first kind, and Legendre polynomials are both orthogonal…

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August 17, 2021

Hermite Polynomials

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August 17, 2021

Linear Systems of Equations

Introduction The necessity to solve linear systems of equations is commonplace in…

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August 17, 2021

Asymptotic Series

The Taylor series expansions of Section 3.5 might have a large radius…

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August 17, 2021

Taylor Series

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August 17, 2021

Fourier Series

The Fourier series expansion was introduced briefly in Chapter 1, where the…

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August 17, 2021

Pointwise Convergence And Uniform Convergence

The previous section informed us that sequences can converge in different ways,…

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August 17, 2021

Number Representations

Introduction In this chapter we consider how numbers are represented on a…

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August 17, 2021

The Discrete Fourier Series (Dfs)

The subject of discrete Fourier series (DFS) and its relationship to the…

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August 17, 2021