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Two-dimensional integral–algebraic systems: Analysis and computational methods

✍ Scribed by M.V. Bulatov; P.M. Lima

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
231 KB
Volume
236
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this article we formulate sufficient conditions for the existence and uniqueness of solution to systems of two-dimensional Volterra integral equations, in which the coefficient of the main term is a singular matrix. A numerical method is introduced which can be applied to approximate the solution when the given conditions are satisfied. The convergence of this method is proved and illustrated by numerical examples.

📜 SIMILAR VOLUMES

Computational algebraic analysis methods
Computational algebraic analysis methods in Clifford analysis
✍ Irene Sabadini; Daniele C. Struppa 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 131 KB

## Abstract Recent advances in Computer Algebra have made it possible the study of algebraic analysis in an explicit and computational way. In this paper we show how these ideas have allowed the solution of a new class of problems in Clifford analysis and we describe the computational techniques th