Search Results

• Time Integration Schemes Based on Neural Networks for Solving Partial Differential Equations on Coarse Grids

  Xinxin Yan, Zhideng Zhou, Xiaohan Cheng, Xiaolei Yang

  2024-12-02

  15993 1215 Pages:1262-1306

• Quantum Simulation of the Fokker-Planck Equation via Schrödingerization

  Shi Jin, Nana Liu, Yue Yu

  2026-01-18

  1057 297 Pages:969-1001

• A New Approximate Method to Mean Field Stochastic Differential Equation with One-Sided Lipschitz Drift Coefficient

  Jinhui Zhou, Yongkui Zou, Boyu Wang

  2026-02-15

  4060 233 Pages:615-634

• A Splitting Method for Nonlinear Filtering Problems with Diffusive and Point Process Observations

  Fengshan Zhang, Yongkui Zou, Shimin Chai, Yanzhao Cao

  2024-10-29

  17992 1206 Pages:996-1020

• Weak Collocation Regression for Inferring Stochastic Dynamics with Lévy Noise

  Liya Guo, Liwei Lu, Zhijun Zeng, Pipi Hu, Yi Zhu

  2025-05-29

  9058 533 Pages:1277-1304

• An Understanding of the Physical Solutions and the Blow-up Phenomenon for Nonlinear Noisy Leaky Integrate and Fire Neuronal Models

  María J. Cáceres, Alejandro Ramos-Lora

  2021-07-01

  48140 3150 Pages:820-850

• The Hyperbolic Schrödinger Equation and the Quantum Lattice Boltzmann Approximation

  Renato Spigler

  2022-05-06

  44645 3325 Pages:1341-1361

• Müntz Spectral Method for Two-Dimensional Space-Fractional Convection-Diffusion Equation

  Dianming Hou, Mejdi Azaïez, Chuanju Xu

  2019-08-27

  54232 3707 Pages:1415-1443

• Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains

  Jihong Wang, Xin Wang, Jing Li, Bin Liu

  2025-05-29

  9043 520 Pages:1383-1416

• A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows II: Multi-Dimensional Cases

  Juan-Chen Huang, Kun Xu, Pubing Yu

  2012-12-01

  41044 4192 Pages:662-690

• A Modified Nonlocal Continuum Electrostatic Model for Protein in Water and Its Analytical Solutions for Ionic Born Models

  Dexuan Xie, Hans W. Volkmer

  2013-01-05

  40984 4425 Pages:174-194

• Development of a Combined Compact Difference Scheme to Simulate Soliton Collision in a Shallow Water Equation

  Ching-Hao Yu, Tony Wen-Hann Sheu

  2018-04-03

  40814 3213 Pages:603-631

• Conservative Semi-Lagrangian Finite Difference WENO Formulations with Applications to the Vlasov Equation

  Jing-Mei Qiu, Chi-Wang Shu

  2011-10-01

  40879 4332 Pages:979-1000

• A Generalised Lattice Boltzmann Equation on Unstructured Grids

  Stefano Ubertini, Sauro Succi

  2018-03-24

  39687 4055 Pages:342-356

• DL-PDE: Deep-Learning Based Data-Driven Discovery of Partial Differential Equations from Discrete and Noisy Data

  Hao Xu, Haibin Chang, Dongxiao Zhang

  2021-01-13

  55430 3561 Pages:698-728

• An Adaptive Moving Mesh Discontinuous Galerkin Method for the Radiative Transfer Equation

  Min Zhang, Juan Cheng, Weizhang Huang, Jianxian Qiu

  2020-02-23

  51083 3289 Pages:1140-1173

• Nonstandard Fourier Pseudospectral Time Domain (PSTD) Schemes for Partial Differential Equations

  Bradley E. Treeby, Elliott S. Wise, B. T. Cox

  2018-09-17

  46850 3342 Pages:623-634

• Curious Convergence Properties of Lattice Boltzmann Schemes for Diffusion with Acoustic Scaling

  Bruce M. Boghosian, Francois Dubois, Benjamin Graille, Pierre Lallemand, Mohamed-Mahdi Tekitek

  2020-07-31

  50237 3149 Pages:1263-1278

• A Backward Doubly Stochastic Differential Equation Approach for Nonlinear Filtering Problems

  Feng Bao, Yanzhao Cao, Weidong Zhao

  2018-08-21

  47841 3753 Pages:1573-1601

• Numerical Methods for Solving the Hartree-Fock Equations of Diatomic Molecules II

  John C. Morrison, Kyle Steffen, Blake Pantoja, Asha Nagaiya, Jacek Kobus, Thomas Ericsson

  2018-04-03

  41360 3283 Pages:632-647

• New Finite-Volume Relaxation Methods for the Third-Order Differential Equations

  Fayssal Benkhaldoun, Mohammed Seaid

  2008-04-01

  38820 4379 Pages:820-837

• A GPU-Accelerated Cartesian Grid Method for the Heat, Wave and Schrödinger Equations on Irregular Domains

  Liwei Tan, Minsheng Huang, Wenjun Ying

  2024-09-06

  20232 1592 Pages:485-520

• Simulation of Decoherence by Averaged Semiquantum Method

  Zhuo Wang, Quanlin Jie, Shi-Hui Zhang

  2010-07-01

  38492 4079 Pages:718-737

• A Fourth Order Numerical Method for the Primitive Equations Formulated in Mean Vorticity

  Jian-Guo Liu, Cheng Wang

  2008-04-01

  38897 4334 Pages:26-55

• A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations

  Yingnan Thang, Xingbiao Hu, Yi He, Jianqing Sun

  2019-04-04

  45885 3426 Pages:579-598

• Recursive POD Expansion for the Advection-Diffusion-Reaction Equation

  M. Azaiez, T. Chacon Rebollo, E. Perracchione, J. M. Vega

  2018-09-17

  44599 4773 Pages:1556-1578 Open-access

• Review of Feynman's Path Integral in Quantum Statistics: From the Molecular Schrödinger Equation to Kleinert's Variational Perturbation Theory

  Kin-Yiu Wong

  2020-07-31

  43248 6083 Pages:853-894 Open-access