Search Results

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

  Kui Ren

  2010-08-01

  43358 4872 Pages: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

  32044 2877 Pages:1133-1176

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

  Alexandre Birolleau, Gael Poette, Didier Lucor

  2014-07-06

  42170 5500 Pages:1-34

• Collocation Methods for Cauchy Problems of Elliptic Operators via Conditional Stabilities

  Siqing Li, Leevan Ling

  2019-04-28

  46000 3119 Pages:785-808

• An Adaptive Surrogate Modeling Based on Deep Neural Networks for Large-Scale Bayesian Inverse Problems

  Liang Yan, Tao Zhou

  2020-11-18

  67490 3473 Pages:2180-2205

• A Stochastic Collocation Approach to Bayesian Inference in Inverse Problems

  Youssef Marzouk, Dongbin Xiu

  2009-06-01

  38617 4124 Pages: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

  38908 3923 Pages: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

  151592 6996 Pages: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

  42376 4354 Pages:983-1009

• Adaptive Ensemble Kalman Inversion with Statistical Linearization

  Yanyan Wang, Qian Li, Liang Yan

  2023-06-06

  41395 3088 Pages: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

  52201 5165 Pages:41-73

• Generalized Multiscale Inversion for Heterogeneous Problems

  Eric T. Chung, Yalchin Efendiev, Bangti Jin, Wing Tat Leung, Maria Vasilyeva

  2018-12-08

  47902 3436 Pages: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

  781 110 Pages: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

  47093 3257 Pages:1583-1622

• Solution of Inverse Geometric Problems Using a Non-Iterative MFS

  Andreas Karageorghis, Daniel Lesnic, Liviu Marin

  2024-04-10

  24858 2177 Pages: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

  48718 3392 Pages: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

  46243 5260 Pages:1-26

• Computing Optimal Forcing Using Laplace Preconditioning

  M. Brynjell-Rahkola, L. S. Tuckerman, P. Schlatter, D. S. Henningson

  2017-11-02

  42788 3623 Pages:1508-1532

• MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems

  Xiaofei Guan, Boya Hu, Shipeng Mao, Xintong Wang, Zihao Yang

  2024-10-29

  21794 1258 Pages: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

  39457 3320 Pages:538-567

• Preface

  2020-11-18

  384 106 Pages: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

  42256 3478 Pages: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

  39950 3922 Pages: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

  34381 2819 Pages: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

  26443 2329 Pages:467-497

• On the Naturally Induced Sources for Obstacle Scattering

  Perrin S. Meyer, Marcos Capistran, Yu Chen

  2020-07-31

  38919 3936 Pages: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

  47627 3927 Pages:154-187