A parameterized Wasserstein Hamiltonian flow approach for solving the Schrödinger equation
Fuente:
arXiv
Saved in:
| Main Authors: | Wu, Hao, Liu, Shu, Ye, Xiaojing, Zhou, Haomin |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Parameterized Wasserstein Gradient Flow
by: Jin, Yijie, et al.
Published: (2024)
by: Jin, Yijie, et al.
Published: (2024)
Deep Tangent Bundle (DTB) method: a Deep Neural Network approach to compute solutions of PDES
by: Wu, Hao, et al.
Published: (2025)
by: Wu, Hao, et al.
Published: (2025)
Boundary neuron method for solving partial differential equations
by: Lin, Ye, et al.
Published: (2026)
by: Lin, Ye, et al.
Published: (2026)
Mechanical Proving the Symplecticity of Partitioned Runge--Kutta Methods for Determinate and Stochastic Hamiltonian Systems
by: Zhang, Xiaojing
Published: (2025)
by: Zhang, Xiaojing
Published: (2025)
An explicit unconditionally stable numerical method for solving damped nonlinear Schrödinger equations with a focusing nonlinearity
by: Bao, Weizhu, et al.
Published: (2003)
by: Bao, Weizhu, et al.
Published: (2003)
New approach method for solving nonlinear differential equations of blood flow with nanoparticle in presence of magnetic field
by: Pahnehkolaei, Seyed Morteza Hamzeh, et al.
Published: (2024)
by: Pahnehkolaei, Seyed Morteza Hamzeh, et al.
Published: (2024)
Conjugated filter approach for solving Burgers' equation with high Reynolds number
by: Wei, G. W., et al.
Published: (2000)
by: Wei, G. W., et al.
Published: (2000)
An efficient proximal-based approach for solving nonlocal Allen-Cahn equations
by: Burkovska, Olena, et al.
Published: (2024)
by: Burkovska, Olena, et al.
Published: (2024)
On the relaxed greedy randomized Kaczmarz methods with momentum acceleration for solving matrix equation AXB=C
by: Wu, Nian-Ci, et al.
Published: (2023)
by: Wu, Nian-Ci, et al.
Published: (2023)
A localized reduced basis approach for unfitted domain methods on parameterized geometries
by: Chasapi, Margarita, et al.
Published: (2022)
by: Chasapi, Margarita, et al.
Published: (2022)
Convergence analysis of $L^{p+1}$-normalized gradient flow for action ground state of nonlinear Schrödinger equation
by: Liu, Wei, et al.
Published: (2026)
by: Liu, Wei, et al.
Published: (2026)
Various approaches to solving nonlinear equations
by: Nash, John C., et al.
Published: (2025)
by: Nash, John C., et al.
Published: (2025)
A supervised learning scheme for computing Hamilton-Jacobi equation via density coupling
by: Cui, Jianbo, et al.
Published: (2024)
by: Cui, Jianbo, et al.
Published: (2024)
Improved randomized neural network methods with boundary processing for solving elliptic equations
by: Zhou, Huifang, et al.
Published: (2024)
by: Zhou, Huifang, et al.
Published: (2024)
Two-step parameterized tensor-based iterative methods for solving $\mathcal{A}_{*M}\mathcal{X}_{*M}\mathcal{B}=\mathcal{C}$
by: Behera, Ratikanta, et al.
Published: (2025)
by: Behera, Ratikanta, et al.
Published: (2025)
A GPU-accelerated Cartesian grid method is proposed for solving the heat, wave, and Schrodinger equations on irregular domains
by: Tan, Liwei, et al.
Published: (2024)
by: Tan, Liwei, et al.
Published: (2024)
Dynamical low-rank approximation for the semiclassical Schrodinger equation with uncertainties
by: Liu, Liu, et al.
Published: (2026)
by: Liu, Liu, et al.
Published: (2026)
A virtual element method with IMEX-SAV scheme for the incompressible magnetohydrodynamics equations
by: Dong, Xiaojing, et al.
Published: (2024)
by: Dong, Xiaojing, et al.
Published: (2024)
Lippmann-Schwinger-Lanczos approach for inverse scattering problem of Schrodinger equation in the resonance frequency domain
by: Abilgazy, Anarzhan, et al.
Published: (2025)
by: Abilgazy, Anarzhan, et al.
Published: (2025)
A new approximation method for solving stochastic differential equations
by: Mojarrad, Faezeh Nassajian
Published: (2024)
by: Mojarrad, Faezeh Nassajian
Published: (2024)
High-order structure-preserving schemes for the regularized logarithmic Schrödinger equation
by: Yang, Fan, et al.
Published: (2024)
by: Yang, Fan, et al.
Published: (2024)
The analytical subtraction approach for solving the forward problem in EEG
by: Beltrachini, Leandro
Published: (2019)
by: Beltrachini, Leandro
Published: (2019)
Geometric local parameterization for solving Hele-Shaw problems with surface tension
by: Zhang, Zengyan, et al.
Published: (2025)
by: Zhang, Zengyan, et al.
Published: (2025)
Subspace method based on neural networks for solving the partial differential equation in weak form
by: Liu, Pengyuan, et al.
Published: (2024)
by: Liu, Pengyuan, et al.
Published: (2024)
Normalized Fourier-induced PINN method for solving the wave propagation equation in a non-unitized domain over an extended time range
by: Ma, Jichao, et al.
Published: (2025)
by: Ma, Jichao, et al.
Published: (2025)
Computing the Gross-Pitaevskii Ground State via Wasserstein Gradient Flow in Diffeomorphism Space
by: Zhang, Xiangxiong, et al.
Published: (2026)
by: Zhang, Xiangxiong, et al.
Published: (2026)
Variational operator learning: A unified paradigm marrying training neural operators and solving partial differential equations
by: Xu, Tengfei, et al.
Published: (2023)
by: Xu, Tengfei, et al.
Published: (2023)
Learning by solving differential equations
by: Dherin, Benoit, et al.
Published: (2025)
by: Dherin, Benoit, et al.
Published: (2025)
Data-integrated neural networks for solving partial differential equations
by: Zheng, Jiachun, et al.
Published: (2025)
by: Zheng, Jiachun, et al.
Published: (2025)
Factorized Krylov subspace methods for solving large Sylvester equations
by: Satake, Yuki, et al.
Published: (2026)
by: Satake, Yuki, et al.
Published: (2026)
Annealed adaptive importance sampling method in PINNs for solving high dimensional partial differential equations
by: Zhang, Zhengqi, et al.
Published: (2024)
by: Zhang, Zhengqi, et al.
Published: (2024)
A backward Monte-Carlo method for solving parabolic partial differential equations
by: Carlsson, Johan
Published: (2000)
by: Carlsson, Johan
Published: (2000)
Frozen Gaussian approximation for the fractional Schrödinger equation
by: Chai, Lihui, et al.
Published: (2024)
by: Chai, Lihui, et al.
Published: (2024)
Finite difference schemes for Hamilton--Jacobi equation on Wasserstein space on graphs
by: Cui, Jianbo, et al.
Published: (2025)
by: Cui, Jianbo, et al.
Published: (2025)
Rank Inspired Neural Network for solving linear partial differential equations
by: Peng, Wentao, et al.
Published: (2025)
by: Peng, Wentao, et al.
Published: (2025)
HANN: Homotopy auxiliary neural network for solving nonlinear algebraic equations
by: Zai, Ling-Zhe, et al.
Published: (2025)
by: Zai, Ling-Zhe, et al.
Published: (2025)
Optimal Prediction for Hamiltonian partial differential equations
by: Chorin, A. J., et al.
Published: (1999)
by: Chorin, A. J., et al.
Published: (1999)
Subspace method based on neural networks for solving the partial differential equation
by: Xu, Zhaodong, et al.
Published: (2024)
by: Xu, Zhaodong, et al.
Published: (2024)
Moving sample method for solving time-dependent partial differential equations
by: Xu, Beining, et al.
Published: (2026)
by: Xu, Beining, et al.
Published: (2026)
A novel Lagrange Multiplier approach with relaxation for gradient flows
by: Liu, Zhengguang, et al.
Published: (2022)
by: Liu, Zhengguang, et al.
Published: (2022)
Similar Items
-
Parameterized Wasserstein Gradient Flow
by: Jin, Yijie, et al.
Published: (2024) -
Deep Tangent Bundle (DTB) method: a Deep Neural Network approach to compute solutions of PDES
by: Wu, Hao, et al.
Published: (2025) -
Boundary neuron method for solving partial differential equations
by: Lin, Ye, et al.
Published: (2026) -
Mechanical Proving the Symplecticity of Partitioned Runge--Kutta Methods for Determinate and Stochastic Hamiltonian Systems
by: Zhang, Xiaojing
Published: (2025) -
An explicit unconditionally stable numerical method for solving damped nonlinear Schrödinger equations with a focusing nonlinearity
by: Bao, Weizhu, et al.
Published: (2003)