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• Numerical Solutions of Nonautonomous Stochastic Delay Differential Equations by Discontinuous Galerkin Methods

  Xinjie Dai, Aiguo Xiao

  2019-04-29

  40140 3037 Pages:419-436

• A Cascadic Multigrid Method for Semilinear Elliptic Equations

  Fei Xu, Fusheng Luo

  2018-08-23

  43559 5155 Pages:112-129

• The High Order Block RIP Condition for Signal Recovery

  Yaling Li, Wengu Chen

  2018-08-23

  41385 4873 Pages:61-75

• High Order Stable Multi-Domain Hybrid RKDG and WENO-FD Methods

  Fan Zhang, Jian Cheng, Tiegang Liu

  2018-09-17

  39720 2874 Pages:517-541

• A Complete Characterization of the Robust Isolated Calmness of Nuclear Norm Regularized Convex Optimization Problems

  Ying Cui, Defeng Sun

  2018-09-17

  39705 2836 Pages:441-458

• Exponential Integrators for Stochastic Schrödinger Equations Driven by Itô Noise

  Rikard Anton, David Cohen

  2019-02-12

  39339 2837 Pages:276-309

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

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

  2019-02-12

  44155 4120 Pages:159-182 Open-access

• Eigenvalues of the Neumann-Poincaré Operator for Two Inclusions with Contact of Order $m$: A Numerical Study

  Eric Bonnetier, Faouzi Triki, Chun-Hsiang Tsou

  2018-09-17

  41128 5118 Pages:17-28

• $ℓ^1$-Error Estimates on the Hamiltonian-Preserving Scheme for the Liouville Equation with Piecewise Constant Potentials: A Simple Proof

  Xinchun Li

  2021-07-01

  35996 3782 Pages:814-827

• Exponentially Fitted Trapezoidal Scheme for a Stochastic Oscillator

  Xiuling Yin, Chengjian Zhang, Yanqin Liu

  2021-07-01

  36469 3764 Pages:801-813

• Grid-Independent Construction of Multistep Methods

  Carmen Arévalo, Gustaf Söderlind

  2018-08-22

  38038 2869 Pages:672-692

• An Inexact Smoothing Newton Method for Euclidean Distance Matrix Optimization Under Ordinal Constraints

  Qingna Li, Houduo Qi

  2019-02-12

  38053 2907 Pages:469-485

• Linearly Convergent First-Order Algorithms for Semidefinite Programming

  Cong D. Dang, Guanghui Lan, Zaiwen Wen

  2019-02-12

  37854 2892 Pages:452-468

• Stability Analysis for Nonlinear Schrödinger Equations with Nonlinear Absorbing Boundary Conditions

  Jiwei Zhang, Zhenli Xu, Xiaonan Wu, Desheng Wang

  2018-08-22

  39773 5131 Pages:1-18

• Plane Waves Numerical Stability of Some Explicit Exponential Methods for Cubic Schrödinger Equation

  Begoña Cano, Adolfo González-Pachón

  2018-08-22

  38597 2955 Pages:385-406

• Analysis of Sharp Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Parabolic Equations

  Yang Yang, Chi-Wang Shu

  2018-08-22

  36884 2785 Pages:323-340

• Finite Element Approximations of Symmetric Tensors on Simplicial Grids in $\mathbb{R}^n$: The Higher Order Case

  Jun Hu

  2018-08-22

  37124 3011 Pages:283-296

• Optimal and Pressure-Independent $L^2$ Velocity Error Estimates for a Modified Crouzeix-Raviart Stokes Element with BDM Reconstructions

  C. Brennecke, A. Linke, C. Merdon, J. Schöberl

  2018-08-22

  41957 3140 Pages:191-208

• Mixed Discontinuous Galerkin Time-Stepping Method for Linear Parabolic Optimal Control Problems

  Tianliang Hou, Yanping Chen

  2018-08-22

  37344 3023 Pages:158-178

• A Priori Error Estimates for Least-Squares Mixed Finite Element Approximation of Elliptic Optimal Control Problems

  Hongfei Fu, Hongxing Rui

  2018-08-22

  36938 2890 Pages:113-127

• Uniformly Convergent Nonconforming Element for 3-D Fourth Order Elliptic Singular Perturbation Problem

  Hongru Chen & Shaochun Chen

  2021-07-01

  36859 3598 Pages:687-695

• On Residual-Based a Posteriori Error Estimators for Lowest-Order Raviart-Thomas Element Approximation to Convection-Diffusion-Reaction Equations

  Shaohong Du & Xiaoping Xie

  2018-08-22

  38640 3664 Pages:522-546

• Efficient Numerical Algorithms for Three-Dimensional Fractional Partial Differential Equations

  Weihua Deng & Minghua Chen

  2018-08-22

  37450 3544 Pages:371-391

• Compact Difference Schemes for the Diffusion and Schrödinger Equations Approximation, Stability, Convergence, Effectiveness, Monotony

  Vladimir A. Gordin & Eugeny A. Tsymbalov

  2018-08-22

  36575 3549 Pages:348-370

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

  Minli Zeng & Guofeng Zhang

  2018-08-22

  36203 3801 Pages:215-232

• Convergence and Superconvergence Analysis of Lagrange Rectangular Elements with Any Order on Arbitrary Rectangular Meshes

  Mingxia Li, Xiaofei Guan & Shipeng Mao

  2018-08-22

  35773 3756 Pages:169-182

• Optimal Point-Wise Error Estimate of a Compact Finite Difference Scheme for the Coupled Nonlinear Schrödinger Equations

  Tingchun Wang

  2018-08-22

  37537 4313 Pages:58-74