Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Shallow Water Equations

SIAM Journal on Scientific Computing ◽

10.1137/20m1360736 ◽

2021 ◽

Vol 43 (2) ◽

pp. A929-A952

Author(s):

Dihan Dai ◽

Yekaterina Epshteyn ◽

Akil Narayan

Keyword(s):

Galerkin Method ◽

Shallow Water ◽

Shallow Water Equations ◽

Stochastic Galerkin Method ◽

Stochastic Galerkin

Download Full-text

Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Two-Dimensional Shallow Water Equations

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110901 ◽

2021 ◽

pp. 110901

Author(s):

Dihan Dai ◽

Yekaterina Epshteyn ◽

Akil Narayan

Keyword(s):

Galerkin Method ◽

Shallow Water ◽

Shallow Water Equations ◽

Two Dimensional ◽

Stochastic Galerkin Method ◽

Stochastic Galerkin

Download Full-text

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 ◽

Stochastic Galerkin Method ◽

Stochastic Galerkin

Download Full-text

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 ◽

Author(s):

Kailiang Wu ◽

Huazhong Tang ◽

Dongbin Xiu

Keyword(s):

Galerkin Method ◽

Hyperbolic Systems ◽

Quasilinear Hyperbolic Systems ◽

First Order ◽

Stochastic Galerkin Method ◽

Stochastic Galerkin

Download Full-text

A Discontinuous Galerkin Method for the Shallow Water Equations with Source Terms

Lecture Notes in Computational Science and Engineering - Discontinuous Galerkin Methods ◽

10.1007/978-3-642-59721-3_42 ◽

2000 ◽

pp. 419-424 ◽

Author(s):

Dirk Schwanenberg ◽

Jürgen Köngeter

Keyword(s):

Galerkin Method ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Shallow Water Equations ◽

Download Full-text

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

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

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 Method ◽

Stochastic Galerkin ◽

Random Uncertainties ◽

Download Full-text

Well-Balanced Discontinuous Galerkin Method for Shallow Water Equations with Constant Subtraction Techniques on Unstructured Meshes

Journal of Scientific Computing ◽

10.1007/s10915-019-01073-3 ◽

2019 ◽

Vol 81 (3) ◽

pp. 2115-2131

Author(s):

Huijing Du ◽

Yingjie Liu ◽

Yuan Liu ◽

Zhiliang Xu

Keyword(s):

Galerkin Method ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Shallow Water Equations ◽

Unstructured Meshes

Download Full-text

Quadrature-free discontinuous Galerkin method with code generation features for shallow water equations on automatically generated block-structured meshes

Advances in Water Resources ◽

10.1016/j.advwatres.2020.103552 ◽

2020 ◽

Vol 138 ◽

pp. 103552 ◽

Author(s):

Sara Faghih-Naini ◽

Sebastian Kuckuk ◽

Vadym Aizinger ◽

Daniel Zint ◽

Roberto Grosso ◽

...

Keyword(s):

Galerkin Method ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Code Generation ◽

Shallow Water Equations ◽

Structured Meshes ◽

Block Structured

Download Full-text

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 ◽

Author(s):

Zdravko Zubac ◽

Daniel De Zutter ◽

Dries Vande Ginste

Keyword(s):

Galerkin Method ◽

Method Of Moments ◽

Two Dimensional ◽

Stochastic Galerkin Method ◽

Stochastic Galerkin

Download Full-text

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 ◽

Author(s):

Jingwei Hu ◽

Shi Jin

Keyword(s):

Boltzmann Equation ◽

Galerkin Method ◽

Stochastic Galerkin Method ◽

The Boltzmann Equation ◽

Stochastic Galerkin

Download Full-text

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) ◽

Author(s):

Shi Jin ◽

Jian-Guo Liu ◽

Zheng Ma

Keyword(s):

Galerkin Method ◽

Transport Equations ◽

Asymptotic Preserving ◽

Random Inputs ◽

Linear Transport ◽

Stochastic Galerkin Method ◽

Diffusive Regime ◽

Spectral Convergence ◽

Stochastic Galerkin

Download Full-text