Search Results

• 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

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

  Guofeng Zhang & Zhong Zheng

  2018-08-22

  36101 3851 Pages:370-381

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

  Dong-Sheng Wu

  2021-07-01

  33112 3608 Pages:591-600

• 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

  36415 3845 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

  2025-11-20

  1362 62 Pages:1-34

• On Block Preconditioners for PDE-Constrained Optimization Problems

  Xiaoying Zhang & Yumei Huang

  2018-08-22

  35073 3813 Pages:272-283

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

  Minli Zeng & Guofeng Zhang

  2018-08-22

  36087 3773 Pages:215-232

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

  Ajeet Kumar & Alexander Vladimirsky

  2018-08-22

  33717 3759 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

  32295 3478 Pages:525-542

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

  Jin-Ru Chen, Jun-Zhi Cui

  2001-10-02

  34031 3712 Pages:549-560

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

  Helen M. Regan

  2021-07-01

  32656 3834 Pages:611-618

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

  Hua-Zhong Tang & Gerald Warnecke

  2006-04-02

  31867 3355 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

  32352 3687 Pages:336-346

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

  Xiaoping Xie, Jinchao Xu & Guangri Xue

  2018-08-07

  33670 3798 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

  36285 4416 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

  36072 3468 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

  36676 4239 Pages:75-92

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

  J. Z. Cui & H. Y. Yang

  1996-04-02

  33150 3488 Pages:159-174

• 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

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

  Mahdieh Sattari, Jukka Tuomela

  2018-08-22

  37933 4993 Pages:12-29

• 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

  35849 2885 Pages:174-185

• 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

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

  Baiying Dong, Xiufeng Feng, Zhilin Li

  2022-11-08

  303064 3357 Pages:882-912

• Approximating the Stationary Bellman Equation by Hierarchical Tensor Products

  Mathias Oster, Leon Sallandt, Reinhold Schneider

  2024-04-08

  18733 1880 Pages:638-661

• A Linearly-Implicit Structure-Preserving Exponential Time Differencing Scheme for Hamiltonian PDEs

  Yayun Fu, Dongdong Hu, Wenjun Cai, Yushun Wang

  2024-04-09

  26364 1952 Pages:1063-1079

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

  Fu-Ming Ma

  1999-04-02

  31956 3454 Pages:159-170