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• Finite Element Exterior Calculus for Evolution Problems

  Andrew Gillette, Michael Holst, Yunrong Zhu

  2018-08-22

  51025 3108 Pages:187-212

• 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

• Monotone Approximation to a System Without Monotone Nonlinearity

  Yuan-Ming Wang, Ben-Yu Guo

  2000-04-02

  31027 3338 Pages:207-224

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

  Ruo Li, Fanyi Yang

  2022-12-01

  296172 3794 Pages:39-71

• Stable Boundary Conditions and Discretization for $P_N$ Equations

  Jonas Bünger, Neeraj Sarna, Manuel Torrilhon

  2022-11-08

  302034 3412 Pages:977-1003

• A Stochastic Moving Balls Approximation Method over a Smooth Inequality Constraint

  Leiwu Zhang

  2020-03-24

  40510 2808 Pages:528-546

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

  Michael Holst, Christopher Tiee

  2021-07-01

  60126 4317 Pages:792-832

• 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

• 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

• Asymptotic Behavior of the TE and TM Approximations to Second Harmonic Generation

  Naïma Aïssa

  2018-08-15

  30739 3763 Pages:49-66

• Spectral Approximation Orders of Multidimensional Nonstationary Biorthogonal Semi-Multiresolution Analysis in Sobolev Space

  Wensheng Chen, Xu Chen, Wei Lin

  2018-08-15

  32871 3805 Pages:81-90

• Approximation Algorithm for Max-Bisection Problem with the Positive Semidefinite Relaxation

  Da-Chuan Xu, Ji-Ye Han

  2003-06-02

  32936 3812 Pages:357-366

• 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

• Composite Legendre-Laguerre Approximation in Unbounded Domains

  Ben-Yu Guo, He-Ping Ma

  2001-02-02

  34631 3873 Pages:101-112

• The Defect Iteration of the Finite Element for Elliptic Boundary Value Problems and Petrov-Galerkin Approximation

  Junbin Gao, Yidu Yang, T. M. Shih

  1998-04-02

  32758 3484 Pages:152-164

• Chebyshev Approximation of the Analytical Solution of Dirichlet Problem

  F.O. Ekogbulu

  1993-11-01

  32542 3633 Pages:129-141

• Error Estimates of a Class of Serendipity Virtual Element Methods for Semilinear Parabolic Integro-Differential Equations on Curved Domains

  Yang Xu, Zhenguo Zhou, Jingjun Zhao

  2025-03-17

  107 20

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

  Minxing Zhang, Yongkui Zou

  2025-02-10

  126 42

• Maximum Norm Error Estimates of Crouzeix-Raviart Nonconforming Finite Element Approximation of Navier-Stokes Problem

  Qing-Ping Deng, Xue-Jun Xu, Shu-Min Shen

  2000-04-02

  31572 3374 Pages:141-156

• 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

• 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

• Knot Placement for B-Spline Curve Approximation via $L_{∞, 1}$-Norm and Differential Evolution Algorithm

  Jiaqi Luo, Hongmei Kang, Zhouwang Yang

  2022-10-06

  38538 3289 Pages:589-606

• 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

• How to Prove the Discrete Reliability for Nonconforming Finite Element Methods

  Carsten Carstensen, Sophie Puttkammer

  2020-02-06

  44208 4466 Pages:142-175

• Descent Direction Stochastic Approximation Algorithm with Adaptive Step Sizes

  Zorana Lužanin, Irena Stojkovska, Milena Kresoja

  2018-08-23

  41205 5330 Pages:76-94

• A Sparse Grid Stochastic Collocation and Finite Volume Element Method for Constrained Optimal Control Problem Governed by Random Elliptic Equations

  Liang Ge, Tongjun Sun

  2019-02-12

  37983 2764 Pages:310-330

• Weak Error Estimates for Trajectories of SPDEs Under Spectral Galerkin Discretization

  Charles-Edouard Bréhier, Martin Hairer, Andrew M. Stuart

  2019-02-12

  43934 4078 Pages:159-182 Open-access