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math.NA2008★ 4 cited
How to compute the length of a geodesic on a Riemannian manifold with small error in arbitrary Sobolev norms
Joerg Kampen
We compute the length of geodesics on a Riemannian manifold by regular polynomial interpolation of the global solution of the eikonal equation related to the line element $ds^2=g_{…
math.NA2008★ 6 cited
Regular polynomial interpolation and approximation of global solutions of linear partial differential equations
Joerg Kampen
We consider regular polynomial interpolation algorithms on recursively defined sets of interpolation points which approximate global solutions of arbitrary well-posed systems of li…