Titlebook: Basic Numerical Mathematics; Vol 2: Numerical Alg John Todd Book 1977 Birkh?user Verlag Basel 1977 calculus.curve fitting.education.fitting

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Application: Solution of a Boundary Value Problem,The two-point boundary value problem.occurs, e.g. when we separate the variables in the wave equation.by assuming that.If the boundary conditions are.the problem can be interpreted in terms of the vibrations of a uniform string, with fixed end-points (.=0, . = 1) and with initial displacement .(., 0).

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Application: Least Squares Curve Fitting,We want to indicate some of the arithmetic dangers of this process. However we begin by noting that serious consideration must always be given as to whether this is the appropriate problem: e.g., perhaps exponential fitting with a maximum norm is more suitable than polynomial fitting with a euclidean norm.

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Basic Numerical Mathematics978-3-0348-7286-7Series ISSN 0373-3149 Series E-ISSN 2296-6072

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K. Balzer,Andreas Melzer,R. M. M. Seibelher, or when a vector is small, and similarly for matrices. For this purpose the idea of norm was introduced. In most cases the norm of a 1 -dimensional vector or matrix is the absolute value of the number.

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