Titlebook: Numerical Methods and Software Tools in Industrial Mathematics; Morten D?hlen,Aslak Tveito Book 1997 Birkh?user Boston 1997 Approximation.

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https://doi.org/10.1007/978-1-4612-1984-2Approximation; Industrial Mathematics; Software Tools; Triangulation; algorithm; algorithms; geometric mod

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Object-Oriented NumericsThis chapter is concerned with the use of object-oriented programming techniques for numerical applications, especially in terms of the computer language C++. Through a series of examples we expose some of the strengths and possibilities of object-oriented numerics.

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Basic Tools for Linear AlgebraIn this chapter we discuss how object-oriented techniques can be applied in the design and implementation of a software library for linear algebra computations.

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A Comprehensive Set of Tools for Solving Partial Differential Equations; Diffpack equations. Examples on how object-oriented programming techniques are applied for software design and implementation are provided. In addition, we present a collection of sample Diffpack applications.

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Computation of Macrosegregation due to Solidification Shrinkagey alloy is presented. The development of a finite element simulator for the numerical solution of these equations using Diffpack is discussed. In particular we consider the solution of systems of PDEs using object oriented programming techniques.

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Splines and Ocean Wave Modellingrate such that results can be evaluated anywhere within the solution domain. The details of this method for solving differential equations are worked out for an example of great practical importance: The fully nonlinear equations of water waves.

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