Long Yuan

Affiliations:
  • Shandong University of Science and Technology, College of Mathematics and Systems Science, Qingdao, China
  • Chinese Academy of Sciences, Academy of Mathematics and Systems Science, Institute of Computational Mathematics and Scientific/Engineering Computing, LSEC, Beijing, China


According to our database1, Long Yuan authored at least 16 papers between 2014 and 2025.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

Timeline

Legend:

Book  In proceedings  Article  PhD thesis  Dataset  Other 

Links

Online presence:

On csauthors.net:

Bibliography

2025
A discontinuous Galerkin plane wave neural network method for Helmholtz equation and Maxwell's equations.
CoRR, June, 2025

A discontinuous plane wave neural network method for Helmholtz equation and time-harmonic Maxwell's equations.
Adv. Comput. Math., April, 2025

2024
A global space-time Trefftz DG scheme for the time-dependent isotropic elastic wave equations.
J. Comput. Appl. Math., 2024

2023
Global space-time Trefftz DG schemes for the time-dependent linear wave equation.
Comput. Math. Appl., February, 2023

A space-time Trefftz DG scheme for the time-dependent Maxwell equations in anisotropic media.
Math. Comput. Simul., 2023

2022
A generalized plane wave discontinuous Galerkin method for three-dimensional anisotropic Helmholtz equations with variable wave numbers.
Appl. Math. Lett., 2022

2021
A plane wave least squares method for the Maxwell equations in anisotropic media.
Numer. Algorithms, 2021

Global space-time Trefftz DG schemes for the time-dependent linear nonhomogeneous and anisotropic wave equation.
CoRR, 2021

Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media.
Comput. Math. Appl., 2021

2020
Generalized plane wave discontinuous Galerkin methods for nonhomogeneous Helmholtz equations with variable wave numbers.
Int. J. Comput. Math., 2020

2019
A Plane Wave Discontinuous Galerkin method for the Helmholtz equation and Maxwell equations in Anisotropic Media.
CoRR, 2019

A Trefftz-discontinuous Galerkin method for time-harmonic elastic wave problems.
Comput. Appl. Math., 2019

2018
Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers.
J. Comput. Appl. Math., 2018

A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations.
Adv. Comput. Math., 2018

2014
A Plane-Wave Least-Squares Method for Time-Harmonic Maxwell's Equations in Absorbing Media.
SIAM J. Sci. Comput., 2014

A newton-penalty method for a simplified liquid crystal model.
Adv. Comput. Math., 2014


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