Xu Yang

Orcid: 0000-0001-6239-1922

Affiliations:
  • University of California, Santa Barbara, Department of Mathematics, CA, USA
  • University of Wisconsin Madison, Department of Mathematics, WI, USA (PhD 2008)


According to our database1, Xu Yang authored at least 37 papers between 2006 and 2024.

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

Timeline

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Bibliography

2024
Temporal Difference Learning for High-Dimensional PIDEs with Jumps.
SIAM J. Sci. Comput., 2024

Quasi-optimal domain decomposition method for neural network-based computation of the time-dependent Schrödinger equation.
Comput. Phys. Commun., 2024

Error estimates of physics-informed neural networks for approximating Boltzmann equation.
CoRR, 2024

Frozen Gaussian approximation for the fractional Schrödinger equation.
CoRR, 2024

2023
Seismic Tomography with Random Batch Gradient Reconstruction.
SIAM J. Sci. Comput., June, 2023

Schwarz waveform relaxation-learning for advection-diffusion-reaction equations.
J. Comput. Phys., 2023

Unfitted Spectral Element Method for interfacial models.
CoRR, 2023

2022
Time-dependent Dirac Equation with Physics-Informed Neural Networks: Computation and Properties.
Comput. Phys. Commun., 2022

2021
Unfitted Nitsche's Method for Computing Wave Modes in Topological Materials.
J. Sci. Comput., 2021

Classical limit for the varying-mass Schrödinger equation with random inhomogeneities.
J. Comput. Phys., 2021

Schwarz Waveform Relaxation Physics-Informed Neural Networks for Solving Advection-Diffusion-Reaction Equations.
CoRR, 2021

Deep unfitted Nitsche method for elliptic interface problems.
CoRR, 2021

2020
Deep learning seismic substructure detection using the Frozen Gaussian approximation.
J. Comput. Phys., 2020

Unfitted Nitsche's method for computing band structures in phononic crystals with impurities.
CoRR, 2020

Semi-classical limit for the varying-mass Schrödinger equation with random inhomogeneities.
CoRR, 2020

2019
Frozen Gaussian Approximation for the Dirac Equation in Semiclassical Regime.
SIAM J. Numer. Anal., 2019

Bloch theory-based gradient recovery method for computing topological edge modes in photonic graphene.
J. Comput. Phys., 2019

2018
Frozen Gaussian Approximation-Based Artificial Boundary Conditions for One-Dimensional Nonlinear Schrödinger Equation in the Semiclassical Regime.
J. Sci. Comput., 2018

Gradient recovery for elliptic interface problem: III. Nitsche's method.
J. Comput. Phys., 2018

Frozen Gaussian approximation for high frequency wave propagation in periodic media.
Asymptot. Anal., 2018

2017
Polynomial Preserving Recovery for High Frequency Wave Propagation.
J. Sci. Comput., 2017

Gradient recovery for elliptic interface problem: II. Immersed finite element methods.
J. Comput. Phys., 2017

2016
Gauge-Invariant Frozen Gaussian Approximation Method for the Schrödinger Equation with Periodic Potentials.
SIAM J. Sci. Comput., 2016

Frozen Gaussian approximation based domain decomposition methods for the linear Schrödinger equation beyond the semi-classical regime.
J. Comput. Phys., 2016

Frozen Gaussian approximation-based two-level methods for multi-frequency Schrödinger equation.
Comput. Phys. Commun., 2016

2015
A Mean-Field Model for Spin Dynamics in Multilayered Ferromagnetic Media.
Multiscale Model. Simul., 2015

A frozen Gaussian approximation-based multi-level particle swarm optimization for seismic inversion.
J. Comput. Phys., 2015

2014
Computation of the Schrödinger Equation in the Semiclassical Regime on an Unbounded Domain.
SIAM J. Numer. Anal., 2014

A Pathway-Based Mean-Field Model for <i>E. coli</i> Chemotaxis: Mathematical Derivation and Its Hyperbolic and Parabolic Limits.
Multiscale Model. Simul., 2014

2012
Frozen Gaussian Approximation for General Linear Strictly Hyperbolic Systems: Formulation and Eulerian Methods.
Multiscale Model. Simul., 2012

2011
A Hybrid Phase Flow Method for Solving the Liouville Equation in a Bounded Domain.
SIAM J. Numer. Anal., 2011

Tailored Finite Point Method for First Order Wave Equation.
J. Sci. Comput., 2011

2010
A level set method for the semiclassical limit of the Schrödinger equation with discontinuous potentials.
J. Comput. Phys., 2010

Bloch decomposition-based Gaussian beam method for the Schrödinger equation with periodic potentials.
J. Comput. Phys., 2010

2008
Computation of Interface Reflection and Regular or Diffuse Transmission of the Planar Symmetric Radiative Transfer Equation with Isotropic Scattering and Its Diffusion Limit.
SIAM J. Sci. Comput., 2008

Computation of the Semiclassical Limit of the Schrödinger Equation with Phase Shift by a Level Set Method.
J. Sci. Comput., 2008

2006
Numerical study of a domain decomposition method for a two-scale linear transport equation.
Networks Heterog. Media, 2006


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