Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4645384 | Applied Numerical Mathematics | 2012 | 13 Pages |
Abstract
We introduce a family of diagonally-implicit continuous methods for the numerical integration of Volterra Integral Equations. The derived methods are characterized by a lower triangular or diagonal coefficient matrix of the nonlinear system for the computation of the stages which, as it is known, can be exploited to get an efficient implementation. The constructed methods have a high uniform order of convergence together with strong stability properties (e.g. A-stability).
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Physical Sciences and Engineering
Mathematics
Computational Mathematics