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  • Non-Intrusive Reduced Order Modeling of Convection Dominated Flows Using Artificial Neural Networks with Application to Rayleigh-Taylor Instability

    Zhen Gao, Qi Liu, Jan S. Hesthaven, Bao-Shan Wang, Wai Sun Don, Xiao Wen
    2021-04-30
    50089 4590 Pages:97-123
  • Asymptotic Preserving Spectral Deferred Correction Methods for Hyperbolic Systems with Relaxation

    Chong Sun, Yinhua Xia
    2019-04-04
    46200 3377 Pages:531-557
  • A Comparison of Semi-Lagrangian and Lagrange-Galerkin hp-FEM Methods in Convection-Diffusion Problems

    Pedro Galan del Sastre, Rodolfo Bermejo
    2011-09-01
    38672 3847 Pages:1020-1039
  • Semi-Eulerian and High Order Gaussian Beam Methods for the Schrödinger Equation in the Semiclassical Regime

    Shi Jin, Hao Wu, Xu Yang
    2011-03-05
    39442 4248 Pages:668-687
  • A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

    Weiwen Wang, Chuanju Xu
    2023-03-13
    40517 3353 Pages:477-510
  • Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain

    Wei Zhang, Jiang Yang, Jiwei Zhang, Qiang Du
    2018-04-08
    42274 4915 Pages:16-39 Open-access
  • An Adjoint-Based h-Adaptive Reconstructed Discontinuous Galerkin Method for the Steady-State Compressible Euler Equations

    Jian Cheng, Shengjiao Yu, Huiqiang Yue, Tiegang Liu
    2019-04-28
    47131 3261 Pages:855-879
  • Divergence-Free WENO Reconstruction-Based Finite Volume Scheme for Solving Ideal MHD Equations on Triangular Meshes

    Zhiliang Xu, Dinshaw S. Balsara, Huijing Du
    2018-04-04
    41166 3205 Pages:841-880
  • Laplace-Transform Finite Element Solution of Nonlocal and Localized Stochastic Moment Equations of Transport

    Eric Morales-Casique, Shlomo P. Neuman
    2009-06-01
    38515 4188 Pages:131-161
  • On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes

    Logan J. Cross, Xiangxiong Zhang
    2024-01-31
    28522 2747 Pages:160-180
  • Time Implicit Unified Gas Kinetic Scheme for 3D Multi-Group Neutron Transport Simulation

    Shuang Tan, Wenjun Sun, Kun Xu, Junxia Wei, Guoxi Ni
    2020-07-21
    45744 3089 Pages:1189-1218
  • A Stable Q Compensated Reverse Time Migration Method Based on Excitation Amplitude Imaging Condition

    Qingqing Li, Li-Yun Fu, Weijia Sun, Wei Wei, Wanting Hou
    2020-06-05
    51358 4634 Pages:141-166
  • Conservative and Dissipative Local Discontinuous Galerkin Methods for Korteweg-de Vries Type Equations

    Qian Zhang, Yinhua Xia
    2018-10-11
    45925 3465 Pages:532-563
  • A High-Resolution Cell-Centered Lagrangian Method with a Vorticity-Based Adaptive Nodal Solver for Two-Dimensional Compressible Euler Equations

    Jin Qi, Baolin Tian, Jiequan Li
    2018-09-17
    45274 3229 Pages:774-790
  • An Explicit Hermite-Taylor Method for the Schrödinger Equation

    Daniel Appelo, Gunilla Kreiss, Siyang Wang
    2018-04-09
    42283 3366 Pages:1207-1230
  • On the Spurious Mode Generation Induced by Spectral-Like Optimized Interpolation Schemes Used in Computational Acoustics

    Guilherme Cunha, Stephane Redonnet
    2018-04-04
    39729 3178 Pages:325-352
  • An Application of the Level Set Method to Underwater Acoustic Propagation

    Sheri L. Martinelli
    2012-12-01
    42493 3989 Pages:1359-1391
  • 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
  • A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs

    Kailiang Wu, Dongbin Xiu, Xinghui Zhong
    2021-05-25
    49105 3204 Pages:423-447
  • A Flexible Boundary Procedure for Hyperbolic Problems: Multiple Penalty Terms Applied in a Domain

    Jan Nordstrom, Qaisar Abbas, Brittany A. Erickson, Hannes Frenander
    2014-08-03
    42544 4070 Pages:541-570
  • On Time-Splitting Pseudospectral Discretization for Nonlinear Klein-Gordon Equation in Nonrelativistic Limit Regime

    Xuanchun Dong, Zhiguo Xu, Xiaofei Zhao
    2014-08-03
    42500 4186 Pages:440-466
  • Staggered Lagrangian Discretization Based on Cell-Centered Riemann Solver and Associated Hydrodynamics Scheme

    Pierre-Henri Maire, Raphael Loubere, Pavel Vachal
    2011-10-01
    39782 4145 Pages:940-978
  • On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws

    Michael Dumbser, Eleuterio F. Toro
    2011-10-01
    39639 4378 Pages:635-671
  • Numerical Simulation of an Aortic Flow Based on a HLLC Type Incompressible Flow Solver

    Yang-Yao Niu, Chih-Hung Chang, Wen-Yih I. Tseng, Hsu-Hsia Peng, Hsi-Yu Yu
    2018-03-24
    37716 4456 Pages:142-162
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