MOC
2011
13 years 6 months ago
2011
We present an asymptotically fast algorithm for the numerical evaluation of modular functions such as the elliptic modular function j. Our algorithm makes use of the natural connec...
MOC
2011
13 years 6 months ago
2011
MOC
2011
13 years 6 months ago
2011
Using the concept of Geometric Weakly Admissible Meshes (see §2 below) together with an algorithm based on the classical QR factorization of matrices, we compute efficient points...
MOC
2011
13 years 6 months ago
2011
The simplest pair of spaces P1/P0 is made inf-sup stable for the mixed form of the Darcy equation. The key ingredient is enhance the finite element spaces inside a PetrovGalerkin ...
MOC
2011
13 years 6 months ago
2011
Abstract. We prove optimal order error estimates for the Raviart-Thomas interpolation of arbitrary order under the maximum angle condition for triangles and under two generalizatio...
MOC
2011
13 years 6 months ago
2011
We provide a new analytical approach to operator splitting for equations of the type ut = Au + B(u) where A is a linear operator and B is quadratic. A particular example is the Kor...
MOC
2011
13 years 6 months ago
2011
Abstract. Local energy error estimates for the finite element method for elliptic problems were originally proved in 1974 by Nitsche and Schatz. These estimates show that the loca...
MOC
2011
13 years 6 months ago
2011
MOC
2011
13 years 6 months ago
2011
Abstract. Various applications in uid dynamics and computational continuum mechanics motivate the development of reliable and e cient adaptive algorithms for mixed nite element m...
MOC
2011
13 years 6 months ago
2011
We utilize effective algorithms for computing in the cohomology of a Shimura curve together with the Jacquet-Langlands correspondence to compute systems of Hecke eigenvalues assoc...