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• Discrete Duality Finite Volume Discretization of the Thermal-$P_N$ Radiative Transfer Equations on General Meshes

  Francois Hermeline

  2022-01-27

  42740 3302 Pages:398-448

• 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

  51163 4509 Pages:141-166

• A Computational Model for Simulation of Shallow Water Waves by Elastic Deformations in the Topography

  Alia Al-Ghosoun, Ashraf S. Osman, Mohammed Seaid

  2021-02-25

  44634 3186 Pages:1095-1124

• 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 Pen & Hsi-Yu Yu

  2018-03-24

  37551 4329 Pages:142-162

• A New Stable Version of the SPH Method in Lagrangian Coordinates

  A. Ferrari, M. Dumbser, E. F. Toro & A. Armanini

  2018-03-24

  37314 3876 Pages:378-404

• Semi-Implicit Interior Penalty Discontinuous Galerkin Methods for Viscous Compressible Flows

  Vít Dolejsí

  2018-03-24

  37704 3718 Pages:231-274

• A Modified Multiple Matching Method Based on Equipoise Pseudomulti-Channel Filter and Huber Norm

  Yinting Wu, J. T. Wu

  2020-06-05

  48857 4382 Pages:498-517

• An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows

  Jiao Liu, Zhenhua Chai, Baochang Shi

  2024-06-14

  28157 1838 Pages:1309-1326

• Fourier Collocation and Reduced Basis Methods for Fast Modeling of Compressible Flows

  Jian Yu, Deep Ray, Jan S. Hesthaven

  2022-09-29

  42916 3340 Pages:595-637

• Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

  Shamsulhaq Basir

  2023-06-06

  41484 2933 Pages:1240-1269

• A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

  Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang

  2020-07-21

  49155 3215 Pages:967-998

• A Generalised Lattice Boltzmann Equation on Unstructured Grids

  Stefano Ubertini & Sauro Succi

  2018-03-24

  39522 4010 Pages:342-356

• New Unconditionally Stable Schemes for the Navier-Stokes Equations

  Hui Yao, Mejdi Azaiez, Chuanju Xu

  2021-08-10

  48952 3088 Pages:1083-1117

• Modeling Magma Dynamics with a Mixed Fourier Collocation - Discontinuous Galerkin Method

  Alan R. Schiemenz, Marc A. Hesse & Jan S. Hesthaven

  2011-10-01

  38283 4566 Pages:433-452

• Non-Oscillatory Hierarchical Reconstruction for Central and Finite Volume Schemes

  Y. Liu, C.-W. Shu, E. Tadmor & M. Zhang

  2007-02-01

  38147 3894 Pages:933-963

• Equilibrium Preserving Space in Discontinuous Galerkin Methods for Hyperbolic Balance Laws

  Jiahui Zhang, Yinhua Xia, Yan Xu

  2025-07-11

  5123 476 Pages:109-155

• Heterogeneous Multiscale Methods: A Review

  W. E, B. Engquist, X. Li, W. Ren & E. Vanden-Eijnden

  2007-02-01

  47453 5354 Pages:367-450 Open-access

• Majority-Vote on Undirected Barabási-Albert Networks

  F. W. S. Lima

  2018-03-24

  39788 3876 Pages:358-366

• An Efficient Real Space Method for Orbital-Free Density-Functional Theory

  C. J. García-Cervera

  2018-03-24

  39697 3692 Pages:334-357

• A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

  Weiwen Wang, Chuanju Xu

  2023-03-13

  40289 3292 Pages:477-510

• On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs

  Yeonjong Shin, Jérôme Darbon, George Em Karniadakis

  2020-11-18

  88478 4440 Pages:2042-2074

• Energy-Preserving Hybrid Asymptotic Augmented Finite Volume Methods for Nonlinear Degenerate Wave Equations

  Wenju Liu, Yanjiao Zhou, Zhiyue Zhang

  2024-03-13

  26355 2190 Pages:313-368

• 3D-Simulations of Transverse Optical Modes of the Free Electron Laser Resonator with Hole Output Coupling

  Y. Dou, X. Shu & Y. Wang

  2006-01-01

  39475 3973 Pages:920-929

• 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

  192 54 Pages:575-602

• Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity

  Weizhu Bao, Yue Feng, Wenfan Yi

  2019-08-27

  47993 3463 Pages:1307-1334

• A Monotone Finite Volume Scheme with Fixed Stencils for 3D Heat Conduction Equation

  Hui Xie, Chuanlei Zhai, Xuejun Xu, Jun Peng, Heng Yong

  2019-07-02

  44796 3146 Pages:1118-1142

• Linear and Unconditionally Energy Stable Schemes for the Multi-Component Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State

  Chenfei Zhang, Hongwei Li, Xiaoping Zhang, Lili Ju

  2019-07-02

  46000 3286 Pages:1071-1097