Partial differential equations (PDEs),
stochastic partial differential equations (SPDEs), applications of PDEs and SPDEs in physical sciences.
Asymptotics and scientific computation. Evaluation of
non-elementary integrals,
special functions,
applications in Science, Probability and Statistics.
Subject:
Applied Mathematical Sciences
Main publications:
V. Nijimbere, L.J. Campbell, “Some exact expressions for the temporal evolution of long Rossby waves on a beta-plane”, Wave Motion, 58 (2015), 129–144
V. Nijimbere, L.J. Campbell, “A nonlinear time-dependent radiation condition for simulations of internal gravity waves in geophysical fluids”, Applied Numerical Mathematics, 110 (2016), 75–92
V. Nijimbere, “Hypothesis test and confidence interval for the negative binomial distribution via coincidence: A case for rare events”, International Journal of Contemporary Mathematical Sciences, 12:5 (2017), 243–253
V. Nijimbere, “Evaluation of the non-elementary integral $\int e^{\lambda x^\alpha} dx, \alpha\ge 2$, and other related integrals”, Ural Mathematical Journal, 3:2 (2017), 130–142
V. Nijimbere, “On the classical electrodynamics in dispersive time-dependent linear isotropic media”, Progress In Electromagnetics Research C, 93 (2019), 185–198
Victor Nijimbere, “Evaluation of some non-elementary integrals involving sine, cosine, exponential and logarithmic integrals: part II”, Ural Math. J., 4:1 (2018), 43–55
2.
Victor Nijimbere, “Evaluation of some non-elementary integrals involving sine, cosine, exponential and logarithmic integrals: part I”, Ural Math. J., 4:1 (2018), 24–42
Victor Nijimbere, “Evaluation of the non-elementary integral ${\int e^{\lambda x^\alpha} dx}$, ${\alpha\ge2}$ and other related integrals”, Ural Math. J., 3:2 (2017), 130–142