Shim, Jae Wan Gatignol, Renee 2024-01-20T12:04:52Z 2024-01-20T12:04:52Z 2021-09-05 2013-06 0044-2275 https://pubs.kist.re.kr/handle/201004/128014 We obtain the higher-order multivariate Hermite expansion of the Maxwell-Boltzmann distribution by using a new, compact tensorial notation and present a method to obtain the nth order multivariate Taylor expansion, which is identical to the nth order multivariate Hermite expansion of the Maxwell-Boltzmann distribution. This study enables us to find higher-order models of discrete kinetic theories such as the lattice Boltzmann theory. English SPRINGER INTERNATIONAL PUBLISHING AG How to obtain higher-order multivariate Hermite expansion of Maxwell-Boltzmann distribution by using Taylor expansion? Article 10.1007/s00033-012-0265-1 1 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, v.64, no.3, pp.473 - 482 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 64 3 473 482 scie scopus 000319356100004 2-s2.0-84878169420 Mathematics, Applied Mathematics Article Series expansion Hermite polynomials Hermite series expansion Taylor series expansion Boltzmann equation