JC
2006
13 years 4 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 4 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 4 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 4 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...