An algorithm for numerical calculation of topological degree
- 1 June 1979
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 9 (1) , 63-77
- https://doi.org/10.1080/00036817908839252
Abstract
Let be a continuous function from a connected n-dimensional polyhedron Pn to Rn. Assume Φn does not vanish on the boundary b(Pn) so that the topological degree of Φn relative to the origin is defined. Let ωi be the modulus of continuity of Assume where the Ωn are known functions which are O(t). An algorithm is given which subdivides b(Pn) in a certain way, then terminates; the degree may then be readily calculated using a formula of[6] in a special way which avoids much of the computation.Keywords
This publication has 1 reference indexed in Scilit:
- The Calculation of the Topological Degree by QuadratureSIAM Journal on Numerical Analysis, 1975