Rational and Algebraic Approximation for Initial- and Boundary-Value-Problems
There are boundary value problems with unbounded domains for which it is better to approximate the wanted solution by rational functions than by polynomials. Sometimes it may be necessary to use even more complicated approximations, for instance algebraic approximations. In simple cases it is possible to give guaranteeable inclusions for the solutions if monotonicity principles are valued. Some numerical examples are given.
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