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  • Recent Developments in Numerical Techniques for Transport-Based Medical Imaging Methods

    Kui Ren
    2010-08-01
    DOI:10.4208/cicp.220509.200110a
    43354 4872 pp. 1-50 Open Access
  • 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
    DOI:10.4208/cicp.OA-2023-0075
    32040 2870 pp. 1133-1176
  • Adaptive Bayesian Inference for Discontinuous Inverse Problems, Application to Hyperbolic Conservation Laws

    Alexandre Birolleau, Gael Poette, Didier Lucor
    2014-07-06
    DOI:10.4208/cicp.240113.071113a
    42167 5498 pp. 1-34
  • Collocation Methods for Cauchy Problems of Elliptic Operators via Conditional Stabilities

    Siqing Li, Leevan Ling
    2019-04-28
    DOI:10.4208/cicp.OA-2018-0182
    45995 3119 pp. 785-808
  • An Adaptive Surrogate Modeling Based on Deep Neural Networks for Large-Scale Bayesian Inverse Problems

    Liang Yan, Tao Zhou
    2020-11-18
    DOI:10.4208/cicp.OA-2020-0186
    67487 3473 pp. 2180-2205
  • A Stochastic Collocation Approach to Bayesian Inference in Inverse Problems

    Youssef Marzouk, Dongbin Xiu
    2009-06-01
    38615 4123 pp. 826-847
  • On Direct and Semi-Direct Inverse of Stokes, Helmholtz and Laplacian Operators in View of Time-Stepper-Based Newton and Arnoldi Solvers in Incompressible CFD

    H. Vitoshkin, A. Yu. Gelfgat
    2013-10-05
    DOI:10.4208/cicp.300412.010213a
    38906 3922 pp. 1103-1119
  • Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations

    Ameya D. Jagtap, George Em Karniadakis
    2020-11-18
    DOI:10.4208/cicp.OA-2020-0164
    151550 6990 pp. 2002-2041
  • A Second Order Finite-Difference Ghost-Point Method for Elasticity Problems on Unbounded Domains with Applications to Volcanology

    Armando Coco, Gilda Currenti, Ciro Del Negro, Giovanni Russo
    2014-10-08
    DOI:10.4208/cicp.210713.010414a
    42375 4354 pp. 983-1009
  • Adaptive Ensemble Kalman Inversion with Statistical Linearization

    Yanyan Wang, Qian Li, Liang Yan
    2023-06-06
    DOI:10.4208/cicp.OA-2023-0012
    41391 3080 pp. 1357-1380
  • Towards a Theoretical Background for Strong-Scattering Inversion – Direct Envelope Inversion and Gel'fand-Levitan-Marchenko Theory

    Ru-Shan Wu
    2020-06-05
    DOI:10.4208/cicp.OA-2018-0108
    52199 5163 pp. 41-73
  • Generalized Multiscale Inversion for Heterogeneous Problems

    Eric T. Chung, Yalchin Efendiev, Bangti Jin, Wing Tat Leung, Maria Vasilyeva
    2018-12-08
    DOI:10.4208/cicp.OA-2017-0184
    47900 3436 pp. 1213-1234
  • Solving Multi-Group Neutron Diffusion Eigenvalue Problem with Decoupling Residual Loss Function

    Shupei Yu, Qiaolin He, Shiquan Zhang, Qihong Yang, Yu Yang, Helin Gong
    2026-01-18
    DOI:10.4208/cicp.OA-2024-0176
    777 109 pp. 1231-1266
  • DAFI: An Open-Source Framework for Ensemble-Based Data Assimilation and Field Inversion

    Carlos A. Michelén Ströfer, Xin-Lei Zhang, Heng Xiao
    2021-03-24
    DOI:10.4208/cicp.OA-2020-0178
    47091 3257 pp. 1583-1622
  • Solution of Inverse Geometric Problems Using a Non-Iterative MFS

    Andreas Karageorghis, Daniel Lesnic, Liviu Marin
    2024-04-10
    DOI:10.4208/cicp.OA-2023-0207
    24853 2176 pp. 553-578
  • Optimal Error Estimates of a Linearized Crank-Nicolson Galerkin FEM for the Kuramoto-Tsuzuki Equations

    Dongfang Li, Waixiang Cao, Chengjian Zhang, Zhimin Zhang
    2019-04-28
    DOI:10.4208/cicp.OA-2018-0208
    48716 3392 pp. 838-854
  • The Basic Components of Software-Hardware System for Modeling and Control of the Toroidal Plasma by Epsilon-Nets on Heterogeneous Mini-Supercomputers

    Fedor S. Zaitsev, Alexei G. Shishkin, Andrei A. Lukianitsa, Egor P. Suchkov, Sergei V. Stepanov, Fedor A. Anikeev
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0079
    46238 5259 pp. 1-26
  • Computing Optimal Forcing Using Laplace Preconditioning

    M. Brynjell-Rahkola, L. S. Tuckerman, P. Schlatter, D. S. Henningson
    2017-11-02
    DOI:10.4208/cicp.OA-2016-0070
    42783 3623 pp. 1508-1532
  • MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems

    Xiaofei Guan, Boya Hu, Shipeng Mao, Xintong Wang, Zihao Yang
    2024-10-29
    DOI:10.4208/cicp.OA-2024-0002
    21792 1258 pp. 943-976
  • SDF-Based ILW: Inverse Lax-Wendroff Method with the Signed Distance Function Representation of the Geometric Boundary

    Cheng Peng, Shihao Liu, Zhouwang Yang
    2023-03-13
    DOI:10.4208/cicp.OA-2022-0208
    39453 3320 pp. 538-567
  • Preface

    2020-11-18
    382 105 pp. i-i
  • A Novel Efficient Numerical Solution of Poisson's Equation for Arbitrary Shapes in Two Dimensions

    Zu-Hui Ma, Weng Cho Chew, Li Jun Jiang
    2020-07-30
    DOI:10.4208/cicp.230813.291113a
    42254 3478 pp. 1381-1404
  • Vlasov-Fokker-Planck Simulations for High-Power Laser-Plasma Interactions

    Su-Ming Weng, Zheng-Ming Sheng, Hui Xu, Jie Zhang
    2020-07-31
    DOI:10.4208/cicp.060710.040811s
    39948 3922 pp. 1236-1260
  • Multilevel Constrained Pressure-Temperature Residual Preconditioners for Large-Scale Non-Isothermal Reservoir Simulation via Restricted Additive Schwarz Algorithms

    Mei Zhang, Haijian Yang, Chao Yang, Shuyu Sun
    2023-10-07
    DOI:10.4208/cicp.OA-2023-0018
    34378 2818 pp. 837-868
  • A Conservative and Positivity-Preserving Method for Solving Anisotropic Diffusion Equations with Deep Learning

    Hui Xie, Li Liu, Chuanlei Zhai, Xuejun Xu, Heng Yong
    2024-03-13
    DOI:10.4208/cicp.OA-2023-0180
    26439 2329 pp. 467-497
  • On the Naturally Induced Sources for Obstacle Scattering

    Perrin S. Meyer, Marcos Capistran, Yu Chen
    2020-07-31
    38918 3936 pp. 974-983
  • High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations

    Yupeng Ren, Yulong Xing, Jianxian Qiu
    2021-12-06
    DOI:10.4208/cicp.OA-2021-0079
    47625 3925 pp. 154-187
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