My field of interest is
approximation theory, especially approximation
employing radial basis functions
I am also interested in mathematical modeling and
numerical analysis.
Publications and Preprints:
"Approximation and Interpolation Employing Divergence-Free
Radial Basis Functions with Applications," S. Lowitzsch,
Dissertation, Texas A&M University, 2002
(pdf)
"Second Order Solution of Fritz John's Ultrahyperbolic PDE for
Volumetric Computed Tomography," J. Hu, C. Ingrassia,
S. Lowitzsch, J. Park, A. Pineda, D. Reynolds, N. Valdivia,
IMA Preprint, 1752-4, 2001,
(pdf)
(ps)
"L_2 Approximation mit Radialen Basis Funktionen,"
S. Lowitzsch, Diploma Thesis, Göttingen (Germany), 1996
(ps)
"Matrix-valued Radial Basis Functions: Stability and
Applications," S. Lowitzsch, Adv. Comp. Math.,
accepted for publication
"A Density Theorem for Matrix-valued Radial Basis
Functions," S. Lowitzsch, Num. Algorithms,
submitted
"Error Rates for Matrix-valued Radial Basis Function
Interpolation," S. Lowitzsch, J. Approx. Theory,
submitted
"Volumetric Integral Equations of the Propagation of
Electromagnetic Waves in Inhomogeneous and Anisotropic
Materials," S. Lowitzsch, B. Dembart, M. A. Epton, Technical
Report at The Boeing Company, submitted
"An Implementation of Interpolation and Evaluation via Radial
Basis Functions in the BCSLIB Library," Svenja Lowitzsch,
Technical Report at The Boeing Company, submitted
