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Quasi-Interpolation (Hardcover, New Ed)
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Quasi-Interpolation (Hardcover, New Ed)
Series: Cambridge Monographs on Applied and Computational Mathematics
Expected to ship within 10 - 15 working days
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Quasi-interpolation is one of the most useful and often applied
methods for the approximation of functions and data in mathematics
and applications. Its advantages are manifold: quasi-interpolants
are able to approximate in any number of dimensions, they are
efficient and relatively easy to formulate for scattered and meshed
nodes and for any number of data. This book provides an
introduction into the field for graduate students and researchers,
outlining all the mathematical background and methods of
implementation. The mathematical analysis of quasi-interpolation is
given in three directions, namely on the basis (spline spaces,
radial basis functions) from which the approximation is taken, on
the form and computation of the quasi-interpolants (point
evaluations, averages, least squares), and on the mathematical
properties (existence, locality, convergence questions, precision).
Learn which type of quasi-interpolation to use in different
contexts and how to optimise its features to suit applications in
physics and engineering.
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