Search Results

• Block-Symmetric and Block-Lower-Triangular Preconditioners for PDE-Constrained Optimization Problems

  Guofeng Zhang, Zhong Zheng

  2018-08-22

  36319 3908 Pages:370-381

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

  Fabian Hornung, Arnulf Jentzen, Diyora Salimova

  2025-07-12

  6338 550 Pages:918-975

• Discontinuous Galerkin Calculations for a Nonlinear PDE Model of DNA Transcription with Short, Transient and Frequent Pausing

  Lisa Davis, Tomáš Gedeon, Jennifer Thorenson

  2021-07-01

  36628 3893 Pages:601-629

• Element Learning: A Systematic Approach of Accelerating Finite Element-Type Methods via Machine Learning, with Applications to Radiative Transfer

  Shukai Du, Samuel N. Stechmann

  2026-02-15

  2706 315 Pages:1-34

• Probabilistic Numerical Approach for PDE and Its Application in the Valuation of European Options

  Dong-Sheng Wu

  2021-07-01

  33277 3652 Pages:591-600

• A New Preconditioning Strategy for Solving a Class of Time-Dependent PDE-Constrained Optimization Problems

  Minli Zeng, Guofeng Zhang

  2018-08-22

  36324 3822 Pages:215-232

• An Efficient Method for Multiobjective Optimal Control and Optimal Control Subject to Integral Constraints

  Ajeet Kumar, Alexander Vladimirsky

  2018-08-22

  33941 3809 Pages:517-551

• A Posteriori Error Estimate of Optimal Control Problem of PDE with Integral Constraint for State

  Lei Yuan, Danping Yang

  2009-08-02

  32498 3530 Pages:525-542

• On Block Preconditioners for PDE-Constrained Optimization Problems

  Xiaoying Zhang, Yumei Huang

  2018-08-22

  35293 3862 Pages:272-283

• Two-Scale FEM for Elliptic Mixed Boundary Value Problems with Small Periodic Coefficients

  Jin-Ru Chen, Jun-Zhi Cui

  2001-10-02

  34216 3749 Pages:549-560

• Von Neumann Stability Analysis of Symplectic Integrators Applied to Hamiltonian PDEs

  Helen M. Regan

  2021-07-01

  32850 3901 Pages:611-618

• High Resolution Schemes for Conservation Laws and Convection-Diffusion Equations with Varying Time and Space Grids

  HZ Tang, G Warnecke

  2006-04-02

  32056 3410 Pages:121-140

• Numerical Boundary Conditions for the Fast Sweeping High Order WENO Methods for Solving the Eikonal Equation

  Ling Huang, Chi-Wang Shu, Mengping Zhang

  2018-08-07

  32568 3746 Pages:336-346

• Uniformly Stable Finite Element Methods for Darcy-Stokes-Brinkman Models

  Xiaoping Xie, Jinchao Xu & Guangri Xue

  2018-08-07

  33868 3851 Pages:437-455

• Weak-Duality Based Adaptive Finite Element Methods for PDE-Constrained Optimization with Pointwise Gradient State-Constraints

  M. Hintermüller, Michael Hinze, Ronald H.W. Hoppe

  2018-08-22

  36512 4555 Pages:101-123 Open-access

• Optimal Control of the Laplace-Beltrami Operator on Compact Surfaces-Concept and Numerical Treatment

  Michael Hinze, Morten Vierling

  2018-08-22

  36327 3514 Pages:392-403

• On the Error Estimates of a New Operator Splitting Method for the Navier-Stokes Equations

  Hongen Jia, Kaimin Teng, Kaitai Li

  2018-08-22

  36883 4359 Pages:75-92

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

  Xiaobing Feng, Thomas Lewis

  2018-08-22

  36974 4927 Pages:107-135 Open-access

• On the Numerical Solution of Elliptic and Parabolic PDE in the Real Projective Plane

  Mahdieh Sattari, Jukka Tuomela

  2018-08-22

  38128 5094 Pages:12-29

• A Dual Coupled Method for Boundary Value Problems of PDE with Coefficients of Small Period

  J. Z. Cui & H. Y. Yang

  1996-04-02

  33353 3523 Pages:159-174

• Stochastic Proximal Linearized ADMM for Sparse Distribution Control Problem Constrained by Random Elliptic Equation

  Haiming Song, Hao Wang, Jiageng Wu, Jinda Yang

  2026-04-05

  28 23

• Numerical Computation of Bounded Solutions for a Semilinear Elliptic Equation on an Infinite Strip

  Fu-Ming Ma

  1999-04-02

  32137 3525 Pages:159-170

• An Analysis of the Saturation Assumption for Polynomial Interpolation with Application to Adaptive Finite Element Methods

  Randolph E. Bank, Jinchao Xu, Harry Yserentant

  2026-03-02

  372 48 Pages:871–890

• Approximating the Stationary Bellman Equation by Hierarchical Tensor Products

  Mathias Oster, Leon Sallandt, Reinhold Schneider

  2024-04-08

  19040 1965 Pages:638-661

• An $L^{\infty}$ Second Order Cartesian Method for 3D Anisotropic Interface Problems

  Baiying Dong, Xiufeng Feng, Zhilin Li

  2022-11-08

  303348 3414 Pages:882-912

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

  Xiaoliang Song, Bo Chen, Bo Yu

  2021-04-07

  41205 3294 Pages:471-492

• Generalized Augmented Lagrangian-SOR Iteration Method for Saddle-Point Systems Arising from Distributed Control Problems

  Min-Li Zeng, Guo-Feng Zhang, Zhong Zheng

  2018-08-22

  36052 2932 Pages:174-185