Abstract
In this study, we reveal an approximate linear relation for Bessel functions of the first kind, based on asymptotic analyses. A set of coefficients are calculated from a linear algebraic system. For any given error tolerance, a Bessel function of an order big enough is approximated by a linear combination of those with neighboring orders using these coefficients. This naturally leads to a class of ALmost EXact (ALEX) boundary conditions in atomic and multiscale simulations.
| Original language | English |
|---|---|
| Pages (from-to) | 1967-1986 |
| Number of pages | 20 |
| Journal | Communications in Mathematical Sciences |
| Volume | 15 |
| Issue number | 7 |
| DOIs | |
| State | Published - 2017 |
| Externally published | Yes |
Keywords
- ALEX boundary condition
- Approximate linear relation
- Asymptotic analysis
- Bessel function
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