JC
2006
13 years 11 months ago
2006
We discuss adaptive strategies for choosing regularization parameters in TikhonovPhillips regularization of discretized linear operator equations. Two rules turn out to be entirel...
JC
2006
13 years 11 months ago
2006
We study the information complexity in the randomized setting of solving a general elliptic PDE of order 2m in a smooth, bounded domain Q Rd with smooth coefficients and homogene...
JC
2006
13 years 11 months ago
2006
We study the randomized approximation of weakly singular integral operators. For a suitable class of kernels having a standard type of singularity and being otherwise of finite sm...
JC
2006
13 years 11 months ago
2006
We prove upper bounds on the order and degree of the polynomials involved in a resolvent representation of the prime differential ideal associated with a polynomial differential s...