Discontinuous Galerkin Methods with Optimal $$L^2$$L2 Accuracy for One Dimensional Linear PDEs with High Order Spatial Derivatives
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-018-0788-5
Abstract: In this paper, we formulate and analyze discontinuous Galerkin (DG) methods to solve several partial differential equations (PDEs) with high order spatial derivatives, including the heat equation, a third order wave equation, a fourth order… read more here.
Keywords: order; pdes high; order spatial; discontinuous galerkin ... See more keywords
Delta-form-based method of solving high order spatial discretization schemes for neutron transport
Sign Up to like & getrecommendations! Published in 2021 at "Nuclear Engineering and Technology"
DOI: 10.1016/j.net.2020.12.026
Abstract: Abstract Delta-form-based methods for solving high order spatial discretization schemes are introduced into the reactor SN transport equation. Due to the nature of the delta-form, the final numerical accuracy only depends on the residuals on… read more here.
Keywords: form; high order; delta form; order spatial ... See more keywords
Estimation and model selection of higher-order spatial autoregressive model: An efficient Bayesian approach
Sign Up to like & getrecommendations! Published in 2017 at "Regional Science and Urban Economics"
DOI: 10.1016/j.regsciurbeco.2016.12.003
Abstract: In this paper we consider estimation and model selection of higher-order spatial autoregressive model by an efficient Bayesian approach. Based upon the exchange algorithm, we develop an efficient MCMC sampler, which does not rely on… read more here.
Keywords: higher order; model; model selection; spatial autoregressive ... See more keywords
Expanded Jones complex space model to describe arbitrary higher-order spatial states in fiber
Sign Up to like & getrecommendations! Published in 2019 at "Nanophotonics"
DOI: 10.1515/nanoph-2019-0165
Abstract: Abstract As a new multiplexing dimension, spatial modes are catching increasing attentions nowadays. It is a fundamental task to establish an appropriate theoretical model to describe these spatial modes, especially higher-order spatial modes. However, existing… read more here.
Keywords: order; higher order; spatial states; model ... See more keywords