Resumen de Adaptive numerical integration on spherical triangles

Natalia Boal Sánchez , Francisco Javier Sayas González

• In this work we present an adaptive algorithm for the numerical approximation of integrals on parts of a spherical surface. The rules are constructed by dividing progressively a basic triangulation of a spherical triangle following [3] and mapping the curved triangulation to a polyhedron where integrals are approximated by simple two¿dimensional rules (see [2]).

  We show numerical evidence of the possibility of applying Richardson extrapolation to accelerate the convergence and to estimate the error. With arguments close to those used in [5] we give a formal justification of why this is possible and construct an adaptive algorithm by refining the triangulation where needed.