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  • Two-Scale Neural Networks for Partial Differential Equations with Small Parameters

    Qiao Zhuang, Chris Ziyi Yao, Zhongqiang Zhang, George Em Karniadakis
    2025-08-23
    6662 629 Pages:603-629
  • Vector Penalty-Projection Methods for Open Boundary Conditions with Optimal Second-Order Accuracy

    Philippe Angot, Rima Cheaytou
    2019-07-02
    45595 4638 Pages:1008-1038 Open-access
  • Subspace Methods in Multi-Parameter Seismic Full Waveform Inversion

    Yu Geng, Kristopher A. Innanen, Wenyong Pan
    2020-06-05
    51899 4688 Pages:228-248
  • High Order Conservative Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation

    Sebastiano Boscarino, Seung-Yeon Cho, Giovanni Russo, Seok-Bae Yun
    2020-11-26
    47148 4560 Pages:1-56
  • Scale-Decomposed Physics-Informed Neural Networks for Singular Perturbation Problems

    Lei Zhang, Guowei He
    2026-01-18
    991 221 Pages:1267-1298
  • On Pattern Selection in Three-Dimensional Bénard-Marangoni Flows

    Arne Morten Kvarving, Tormod Bjontegaard, Einar M. Ronquist
    2012-11-01
    42639 3955 Pages:893-924
  • Generalized Multiscale Inversion for Heterogeneous Problems

    Eric T. Chung, Yalchin Efendiev, Bangti Jin, Wing Tat Leung, Maria Vasilyeva
    2018-12-08
    47895 3436 Pages:1213-1234
  • High Order Multiscale Methods for Advection-Diffusion Equation in Highly Oscillatory Regimes: Application to Surfactant Diffusion and Generalization to Arbitrary Domains

    Clarissa Astuto
    2025-05-29
    9021 503 Pages:1327-1357
  • A Fast Offline/Online Forward Solver for Stationary Transport Equation with Multiple Inflow Boundary Conditions and Varying Coefficients

    Jingyi Fu, Min Tang
    2025-09-02
    11773 903 Pages:457-497
  • Boundary Control Problems in Convective Heat Transfer with Lifting Function Approach and Multigrid Vanka-Type Solvers

    Eugenio Aulisa, Giorgio Bornia, Sandro Manservisi
    2018-04-03
    39754 3158 Pages:621-649
  • An Improved Tokamak Sawtooth Benchmark for 3D Nonlinear MHD

    J. A. Breslau, C. R. Sovinec, S. C. Jardin
    2008-09-05
    39150 3862 Pages:647-658
  • Numerical Stability Analysis for a Stationary and Translating Droplet at Extremely Low Viscosity Values Using the Lattice Boltzmann Method Color-Gradient Multi-Component Model with Central Moments Formulation

    Karun P. N. Datadien, Gianluca Di Staso, Federico Toschi
    2023-02-20
    43471 3542 Pages:330-348
  • 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
    50085 4589 Pages:97-123
  • Analysis and Numerical Simulation of Hyperbolic Shallow Water Moment Equations

    Julian Koellermeier, Marvin Rominger
    2020-07-21
    47908 3227 Pages:1038-1084
  • Assessing Leak Paths in the Cement Sheath of a Cased Borehole by Analysis of Monopole Wavefield Modes

    Hua Wang, Michael Fehler, Aimé Fournier
    2020-06-05
    51590 4548 Pages:424-441
  • 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
    51355 4628 Pages:141-166
  • Constraint Energy Minimizing Generalized Multiscale Finite Element Method for High-Contrast Linear Elasticity Problem

    Shubin Fu, Eric T. Chung
    2020-07-30
    45297 3805 Pages:809-827
  • Upwind Biased Local RBF Scheme with PDE Centres for the Steady Convection Diffusion Equations with Continuous and Discontinuous Boundary Conditions

    K. Monysekar, Y. V. S. S. Sanyasiraju
    2019-12-07
    45191 3171 Pages:460-479
  • Study of Simulation Cell Size in Mean-Field Studies of Interacting Lattice Models

    Yueguang Shi, Warren E. Pickett
    2018-11-09
    46823 4904 Pages:651-668 Open-access
  • Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations

    Qiya Hu, Lin Zhao
    2017-10-02
    43185 3254 Pages:1069-1100
  • A Coupled Immersed Interface and Level Set Method for Three-Dimensional Interfacial Flows with Insoluble Surfactant

    Jian-Jun Xu, Yunqing Huang, Ming-Chih Lai, Zhilin Li
    2018-03-27
    40594 4141 Pages:451-469
  • Modeling Salt Dependence of Protein-Protein Association: Linear vs Non-Linear Poisson-Boltzmann Equation

    Kemper Talley, Petras Kundrotas, Emil Alexov
    2008-03-01
    40645 4403 Pages:1071-1086
  • The Discrete Orthogonal Polynomial Least Squares Method for Approximation and Solving Partial Differential Equations

    Anne Gelb, Rodrigo B. Platte, W. Steven Rosenthal
    2008-03-01
    39863 4401 Pages:734-758
1 - 23 of 23 items
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