A local sensitivity and regularity analysis for the Vlasov-Poisson-Fokker-Planck system with multi-dimensional uncertainty and the spectral convergence of the stochastic Galerkin method

Spectral Convergence ◽

Stochastic Galerkin ◽

Fokker Planck

Local sensitivity analysis and spectral convergence of the stochastic Galerkin method for discrete-velocity Boltzmann equations with multi-scales and random inputs

Kinetic and Related Models ◽

10.3934/krm.2019037 ◽

2019 ◽

Vol 12 (5) ◽

pp. 969-993

Author(s):

Shi Jin ◽

◽

Yingda Li ◽

Keyword(s):

Sensitivity Analysis ◽

Galerkin Method ◽

Boltzmann Equations ◽

Local Sensitivity ◽

Random Inputs ◽

Local Sensitivity Analysis ◽

Spectral Convergence ◽

Stochastic Galerkin ◽

Multi Scales

Theory, Numerics and Applications of Hyperbolic Problems II - Springer Proceedings in Mathematics & Statistics ◽

A Stochastic Galerkin Method for the Fokker–Planck–Landau Equation with Random Uncertainties

10.1007/978-3-319-91548-7_1 ◽

2018 ◽

pp. 1-19

Author(s):

Jingwei Hu ◽

Shi Jin ◽

Ruiwen Shu

Keyword(s):

Galerkin Method ◽

Landau Equation ◽

Stochastic Galerkin ◽

Random Uncertainties ◽

Fokker Planck

Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro–macro decomposition-based asymptotic-preserving method

Research in the Mathematical Sciences ◽

10.1186/s40687-017-0105-1 ◽

2017 ◽

Vol 4 (1) ◽

Cited By ~ 11

Author(s):

Shi Jin ◽

Jian-Guo Liu ◽

Zheng Ma

Keyword(s):

Galerkin Method ◽

Transport Equations ◽

Asymptotic Preserving ◽

Random Inputs ◽

Linear Transport ◽

Diffusive Regime ◽

Spectral Convergence ◽

Uniform spectral convergence of the stochastic Galerkin method for the linear semiconductor Boltzmann equation with random inputs and diffusive scaling

Kinetic and Related Models ◽

10.3934/krm.2018044 ◽

2018 ◽

Vol 11 (5) ◽

pp. 1139-1156 ◽

Cited By ~ 5

Author(s):

Liu Liu ◽

Keyword(s):

Boltzmann Equation ◽

Galerkin Method ◽

Random Inputs ◽

Spectral Convergence ◽

Semiconductor Boltzmann Equation ◽

Intrusive Stochastic Galerkin Method Applied to Rotor Systems

10.26678/abcm.diname2019.din2019-0100 ◽

2019 ◽

Author(s):

Paulo Henrique Gonzaga ◽

Helio Fiori de Castro

Keyword(s):

Galerkin Method ◽

Rotor Systems ◽

A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty

Journal of Computational Physics ◽

10.1016/j.jcp.2017.05.027 ◽

2017 ◽

Vol 345 ◽

pp. 224-244 ◽

Cited By ~ 4

Author(s):

Kailiang Wu ◽

Huazhong Tang ◽

Dongbin Xiu

Keyword(s):

Galerkin Method ◽

Hyperbolic Systems ◽

Quasilinear Hyperbolic Systems ◽

First Order ◽

Scattering From Two-Dimensional Objects of Varying Shape Combining the Method of Moments With the Stochastic Galerkin Method

IEEE Transactions on Antennas and Propagation ◽

10.1109/tap.2014.2330583 ◽

2014 ◽

Vol 62 (9) ◽

pp. 4852-4856 ◽

Cited By ~ 13

Author(s):

Zdravko Zubac ◽

Daniel De Zutter ◽

Dries Vande Ginste

Keyword(s):

Galerkin Method ◽

Method Of Moments ◽

Two Dimensional ◽

A stochastic Galerkin method for the Boltzmann equation with uncertainty

Journal of Computational Physics ◽

10.1016/j.jcp.2016.03.047 ◽

2016 ◽

Vol 315 ◽

pp. 150-168 ◽

Cited By ~ 27

Author(s):

Jingwei Hu ◽

Shi Jin

Keyword(s):

Boltzmann Equation ◽

Galerkin Method ◽

The Boltzmann Equation ◽

Frequency and time domain variability analysis of an on-chip inverted embedded microstrip line using a macromodeling-based stochastic Galerkin method

2012 IEEE 16th Workshop on Signal and Power Integrity (SPI) ◽

10.1109/sapiw.2012.6222917 ◽

2012 ◽

Author(s):

Dries Vande Ginste ◽

Daniel De Zutter ◽

Dirk Deschrijver ◽

Tom Dhaene ◽

Paolo Manfredi ◽

...

Keyword(s):

Galerkin Method ◽

Time Domain ◽

Microstrip Line ◽

Variability Analysis ◽

Stochastic Galerkin ◽

On Chip

Efficient uncertainty quantification of large two-dimensional optical systems with a parallelized stochastic Galerkin method

Optics Express ◽

10.1364/oe.23.030833 ◽

2015 ◽

Vol 23 (24) ◽

pp. 30833 ◽

Cited By ~ 3

Author(s):

Z. Zubac ◽

J. Fostier ◽

D. De Zutter ◽

D. Vande Ginste

Keyword(s):

Galerkin Method ◽

Uncertainty Quantification ◽

Optical Systems ◽

Two Dimensional ◽