Search Results

• Bi-Orthogonal fPINN: A Physics-Informed Neural Network Method for Solving Time-Dependent Stochastic Fractional PDEs

  Lei Ma, Rongxin Li, Fanhai Zeng, Ling Guo, George Em Karniadakis

  2023-11-08

  32029 2861 Pages:1133-1176

• An Algorithm for the Stochastic Simulation of Gene Expression and Heterogeneous Population Dynamics

  Daniel A. Charlebois, Jukka Intosalmi, Dawn Fraser, Mads Kaern

  2011-09-01

  38577 4439 Pages:89-112

• Local Discontinuous Galerkin Methods for High-Order Time-Dependent Partial Differential Equations

  Yan Xu, Chi-Wang Shu

  2010-07-01

  42253 4903 Pages:1-46 Open-access

• A Finite Element Method Solver for Time-Dependent and Stationary Schrödinger Equations with a Generic Potential

  A. Soba

  2009-05-01

  40215 4012 Pages:914-927

• An Efficient Reduced-Order Model Based on Dynamic Mode Decomposition for Parameterized Spatial High-Dimensional PDEs

  Yifan Lin, Xiang Sun, Jie Nie, Yuanhong Chen, Zhen Gao

  2025-09-02

  11911 969 Pages:575-602

• Layer-Splitting Methods for Time-Dependent Schrödinger Equations of Incommensurate Systems

  Ting Wang, Huajie Chen, Aihui Zhou, Yuzhi Zhou

  2021-10-26

  49889 3324 Pages:1474-1498

• A Compact Third-Order Gas-Kinetic Scheme for Compressible Euler and Navier-Stokes Equations

  Liang Pan, Kun Xu

  2020-07-31

  38609 3075 Pages:985-1011

• Analysis and Application of Single Level, Multi-Level Monte Carlo and Quasi-Monte Carlo Finite Element Methods for Time-Dependent Maxwell's Equations with Random Inputs

  Xiang Wang, Jichun Li, Zhiwei Fang

  2020-11-26

  46316 4274 Pages:211-236

• A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media

  Ji Lin, Sergiy Reutskiy, C. S. Chen, Jun Lu

  2019-02-25

  47445 5576 Pages:233-264

• An Efficient Numerical Algorithm for Solving Coupled Time-Dependent Ginzburg-Landau Equation for Superconductivity and Elasticity

  Qingguo Hong, Limin Ma, Daniel Fortino, Long-Qing Chen, Jinchao Xu

  2025-09-18

  4604 381 Pages:1498-1514

• High Performance Algorithms Based on a New Wavelet Expansion for Time Dependent Acoustic Obstacle Scattering

  Lorella Fatone, Giuseppe Rao, Maria Cristina Recchioni, Francesco Zirilli

  2007-02-01

  37949 4102 Pages:1139-1173

• Deep Learning-Based Reduced-Order Methods for Fast Transient Dynamics

  Martina Cracco, Giovanni Stabile, Andrea Lario, Armin Sheidani, Martin Larcher, Folco Casadei, Georgios Valsamos, Gianluigi Rozza

  2026-01-03

  2147 190 Pages:635-660

• Quantum Annealing with Anneal Path Control: Application to 2-SAT Problems with Known Energy Landscapes

  Ting-Jui Hsu, Fengping Jin, Christian Seidel, Florian Neukart, Hans De Raedt, Kristel Michielsen

  2019-04-28

  47777 5045 Pages:928-946 Open-access

• Projected Finite Elements for Systems of Reaction-Diffusion Equations on Closed Evolving Spheroidal Surfaces

  Necibe Tuncer, Anotida Madzvamuse

  2018-04-09

  41147 3159 Pages:718-747

• Extension of the High-Order Space-Time Discontinuous Galerkin Cell Vertex Scheme to Solve Time Dependent Diffusion Equations

  Shuangzhang Tu, Gordon W. Skelton, Qing Pang

  2012-11-01

  38735 4069 Pages:1503-1524

• An Adaptive Grid Method for Singularly Perturbed Time-Dependent Convection-Diffusion Problems

  Yanping Chen, Li-Bin Liu

  2020-07-30

  42088 3489 Pages:1340-1358

• Reduced Basis Approaches in Time-Dependent Non-Coercive Settings for Modelling the Movement of Nuclear Reactor Control Rods

  Alberto Sartori, Antonio Cammi, Lelio Luzzi, Gianluigi Rozza

  2018-04-04

  42556 4630 Pages:23-59

• Efficient Grid Treatment of the Time Dependent Schrödinger Equation for Laser-Driven Molecular Dynamics

  Fang Li, Xiangying Hao, Xiaogang Li

  2013-05-05

  40863 4296 Pages:1389-1407

• Solving Time Dependent Fokker-Planck Equations via Temporal Normalizing Flow

  Xiaodong Feng, Li Zeng, Tao Zhou

  2022-08-11

  308983 3594 Pages:401-423

• Computational Study of Scission Neutrons in Low-Energy Fission: Stationary and Time-Dependent Approaches

  M. Rizea, N. Carjan

  2011-09-01

  38464 3912 Pages:917-936

• Simulation of Wave-Flow-Cavitation Interaction Using a Compressible Homogenous Flow Method

  J. G. Zheng, B. C. Khoo, Z. M. Hu

  2014-08-05

  40605 4227 Pages:328-354

• Comparison of Fifth-Order WENO Scheme and Finite Volume WENO-Gas-Kinetic Scheme for Inviscid and Viscous Flow Simulation

  Jun Luo, Lijun Xuan, Kun Xu

  2013-09-05

  40705 4644 Pages:599-620

• Quasi-Optimized Overlapping Schwarz Waveform Relaxation Algorithm for PDEs with Time-Delay

  Shu-Lin Wu, Ting-Zhu Huang

  2013-09-05

  39634 4094 Pages:780-800

• Space-Time Discontinuous Galerkin Method for Maxwell's Equations

  Ziqing Xie, Bo Wang, Zhimin Zhang

  2013-10-05

  39512 4003 Pages:916-939

• A Lattice Boltzmann Method for the Advection-Diffusion Equation with Neumann Boundary Conditions

  Tobias Geback, Alexei Heintz

  2018-03-27

  40822 4158 Pages:487-505

• Adaptive Bayesian Inference for Discontinuous Inverse Problems, Application to Hyperbolic Conservation Laws

  Alexandre Birolleau, Gael Poette, Didier Lucor

  2014-07-06

  42164 5495 Pages:1-34

• Fourth Order Difference Approximations for Space Riemann-Liouville Derivatives Based on Weighted and Shifted Lubich Difference Operators

  Minghua Chen, Weihua Deng

  2014-08-03

  42382 4324 Pages:516-540