2002/08/21 by M. Gutowski, Gutowski, Marek W.
Engineering · #65G40 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical Analysis (math.NA) #PACS: 76.50+g #Structural Health Monitoring Techniques #Ultrasonics and Acoustic Wave Propagation
paper · pdf · doi:10.48550/arxiv.math-ph/0208029
openalex publication_date 2002/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The aim of this presentation is to promote the use of interval methods in the so called 'hard science', like physics or materials science. The example problem, simulation of ferromagnetic resonance spectra in amorphous wire, serves as an evidence of their power, even in their simplest, easy to understand, forms. The spectra, simulated for realistic values of anisotropy constants, show amazingly rich variety of their forms, probably never suspected by experimentalists. The method delivers guaranteed values of resonance fields for any orientation of the sample in the external magnetic field, not just for specific, 'highly symmetric', analytical cases; no resonance field is ever missed. The experimental data, to be published elsewhere, are in excellent concordance with numerical findings.