Search Results

• Effects of Integrations and Adaptivity for the Eulerian-Lagrangian Method

  Jiwei Jia, Xiaozhe Hu, Jinchao Xu & Chen-Song Zhang

  2018-08-22

  33811 3498 Pages:367-395

• Finite Element Exterior Calculus for Evolution Problems

  Andrew Gillette, Michael Holst, Yunrong Zhu

  2018-08-22

  51025 3108 Pages:187-212

• A New Finite Element Approximation of a State-Constrained Optimal Control Problem

  Wenbin Liu, Wei Gong, Ningning Yan

  2018-08-15

  34173 3838 Pages:97-114

• A Numerical Method for the Simulation of Free Surface Flows of Viscoplastic Fluid in 3D

  Kirill D. Nikitin, Maxim A. Olshanskii, Kirill M. Terekhov & Yuri V. Vassilevski

  2021-07-01

  35400 3649 Pages:605-622

• Space-Time Deep Neural Network Approximations for High-Dimensional Partial Differential Equations

  Fabian Hornung, Arnulf Jentzen, Diyora Salimova

  2025-07-12

  5910 439 Pages:918-975

• Finite Element Exterior Calculus for Parabolic Evolution Problems on Riemannian Hypersurfaces

  Michael Holst, Christopher Tiee

  2021-07-01

  60126 4317 Pages:792-832

• Rothe Method and Numerical Analysis for a Sub-Diffusion Equation with Clarke Subdifferential

  Yujie Li, Chuanju Xu

  2025-06-18

  120 42

• Mixed Interior Penalty Discontinuous Galerkin Methods for One-Dimensional Fully Nonlinear Second Order Elliptic and Parabolic Equations

  Xiaobing Feng & Thomas Lewis

  2018-08-22

  36756 4816 Pages:107-135 Open-access

• Reconstructed Discontinuous Approximation to Stokes Equation in a Sequential Least Squares Formulation

  Ruo Li, Fanyi Yang

  2022-12-01

  296172 3794 Pages:39-71

• Low Rank Approximation Solution of a Class of Generalized Lyapunov Equation

  Xuefeng Duan, Zhuling Jiang, Anping Liao

  2018-08-22

  39101 2867 Pages:407-420

• Monotone Approximation to a System Without Monotone Nonlinearity

  Yuan-Ming Wang, Ben-Yu Guo

  2000-04-02

  31027 3338 Pages:207-224

• Anisotropic $EQ_1^{rot}$ Finite Element Approximation for a Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation

  Huijun Fan, Yanmin Zhao, Fenling Wang, Yanhua Shi, Fawang Liu

  2023-04-25

  31501 2951 Pages:458-481

• Strong Predictor-Corrector Approximation for Stochastic Delay Differential Equations

  Yuanling Niu, Chengjian Zhang, Kevin Burrage

  2021-07-01

  37676 3528 Pages:587-605

• Exponential Time Differencing-Padé Finite Element Method for Nonlinear Convection-Diffusion-Reaction Equations with Time Constant Delay

  Haishen Dai, Qiumei Huang, Cheng Wang

  2023-04-25

  31260 2802 Pages:370-394

• Efficient and Accurate Numerical Methods for Long-Wave Short-Wave Interaction Equations in the Semiclassical Limit Regime

  Tingchun Wang, Xiaofei Zhao, Mao Peng, Peng Wang

  2019-04-29

  43589 2936 Pages:645-665

• A New Smoothing Approximation Method for Solving Box Constrained Variational Inequalities

  Chang-Feng Ma, Guo-Ping Liang, Shao-Peng Liu

  2002-10-02

  32599 3437 Pages:533-542

• An Efficient Finite Difference Method for Stochastic Linear Second-Order Boundary-Value Problems Driven by Additive White Noises

  Mahboub Baccouch

  2024-01-16

  25076 2156 Pages:432-453

• Error Estimates for Sparse Optimal Control Problems by Piecewise Linear Finite Element Approximation

  Xiaoliang Song, Bo Chen, Bo Yu

  2021-04-07

  40985 3223 Pages:471-492

• Descent Direction Stochastic Approximation Algorithm with Adaptive Step Sizes

  Zorana Lužanin, Irena Stojkovska, Milena Kresoja

  2018-08-23

  41205 5330 Pages:76-94

• Weak Convergence Analysis of a Splitting-Up Method for Stochastic Differential Equations

  Minxing Zhang, Yongkui Zou

  2025-02-10

  126 42

• Bioluminescence Tomography: Biomedical Background, Mathematical Theory, and Numerical Approximation

  Weimin Han & Ge Wang

  2018-08-07

  31767 3546 Pages:324-335

• Approximation, Stability and Fast Evaluation of Exact Artificial Boundary Condition for the One-Dimensional Heat Equation

  Chunxiong Zheng

  2021-07-01

  32132 3433 Pages:730-745

• A Neuron-Wise Subspace Correction Method for the Finite Neuron Method

  Jongho Park, Jinchao Xu, Xiaofeng Xu

  2025-10-30

  3999 184 Pages:1488-1511

• Uniform Superconvergence of Galerkin Methods for Singularly Perturbed Problems

  Ying Chen & Min Huang

  2018-08-22

  35516 3541 Pages:273-288

• A Two-Grid Finite Element Approximation for Nonlinear Time Fractional Two-Term Mixed Sub-Diffusion and Diffusion Wave Equations

  Yanping Chen, Qiling Gu, Qingfeng Li, Yunqing Huang

  2022-11-08

  302278 3757 Pages:936-954

• Modified Legendre Rational Spectral Method for the Whole Line

  Zhongqing Wang, Benyu Guo

  2004-06-02

  32756 3342 Pages:457-474

• Numerical Approximation of the Invariant Distribution for a Class of Stochastic Damped Wave Equations

  Ziyi Lei, Siqing Gan

  2025-07-12

  6001 526 Pages:976-1015