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• How Can Deep Neural Networks Fail Even with Global Optima?

  Qingguang Guan

  2024-10-08

  13026 1009 Pages:674-696

• Optimal Order Convergence Implies Numerical Smoothness II: The Pullback Polynomial Case

  So-Hsiang Chou, Tong Sun

  2018-08-15

  32850 2659 Pages:392-404

• Deep Neural Network for Solving Differential Equations Motivated by Legendre-Galerkin Approximation

  Bryce Chudomelka, Youngjoon Hong, John Morgan, Hyunwoo Kim, Jinyoung Park

  2024-10-08

  12936 1031 Pages:652-673

• Recent Advances on Explicit Variational Multiscale a Posteriori Error Estimation for Systems

  G. Hauke, D. Irisarri & F. Lizarraga

  2021-10-20

  33894 2580 Pages:372-384

• Numerical Approximations for the Null Controllers of Structurally Damped Plate Dynamics

  Pelin G. Geredeli, Carson Givens, Ahmed Zytoon

  2023-03-30

  29543 2566 Pages:329-352

• Petrov-Galerkin Method with Local Green's Functions in Singularly Perturbed Convection-Diffusion Problems

  O. Axelsson, E. Glushkov & N. Glushkova

  2005-02-01

  31054 2627 Pages:127-146

• An Analysis of the Shock Strength Needed to Achieve Defibrillation in a Simplified Mathematical Model of Cardiac Tissue

  A. Tveito, G. Lines, M. Rognes & M. Maleckar

  2012-08-06

  34722 2590 Pages:644-657

• Mixed Spectral Method for Navier-Stokes Equations in an Infinite Strip by Using Generalized Laguerre Functions

  Yujian Jiao, Benyu Guo

  2012-09-01

  32128 2526 Pages:982-998

• Spatial Error Estimates for a Finite Element Viscosity-Splitting Scheme for the Navier-Stokes Equations

  F. Guillen-Gonzalez, M. V. Redondo-Neble

  2013-10-01

  33150 2579 Pages:826-844

• Analysis and Finite Element Approximation of Bioconvection Flows with Concentration Dependent Viscosity

  Y. Cao & S. Chen

  2021-10-20

  33943 3731 Pages:86-101

• Using RBF-Generated Quadrature Rules to Solve Nonlocal Anomalous Diffusion

  Isaac Lyngaas, Janet Peterson

  2018-08-15

  32319 2494 Pages:628-648

• A $T-ψ$ Finite Element Method for a Nonlinear Degenerate Eddy Current Model with Ferromagnetic Materials

  Tong Kang & Tao Chen

  2015-12-01

  34103 2694 Pages:636-663

• Pointwise Approximation of Corner Singularities for Singularly Perturbed Elliptic Problems with Characteristic Layers

  V. B. Andreev

  2010-07-01

  32926 2561 Pages:416-427

• Conditioning Discrete Fracture Network Models of Groundwater Flow

  K. Cliffe, D. Holton, P. Houston, C. Jackson, S. Joyce & A. Milne

  2011-08-01

  31531 2658 Pages:543-565

• A Deep Learning Galerkin Method for the Second-Order Linear Elliptic Equations

  ​Jian Li, Wen Zhang, Jing Yue

  2021-05-25

  42788 2661 Pages:427-441

• Continuous/Discontinuous Finite Element Approximation of a 2d Navier-Stokes Problem Arising in Fluid Confinement

  Hermenegildo Borges De Oliveira, Nuno David Lopes

  2024-05-20

  21687 1672 Pages:315-352

• Auto-Stabilized Weak Galerkin Finite Element Methods for Biharmonic Equations on Polytopal Meshes Without Convexity Assumptions

  Chunmei Wang

  2025-10-21

  5542 319 Pages:83-102

• Flux Recovery and Superconvergence of Quadratic Immersed Interface Finite Elements

  S.-H. Chou & C. Attanayake

  2016-01-08

  32557 4234 Pages:88-102

• Transient Dynamics of Block Coordinate Descent in a Valley

  Martin Mohlenkamp, Todd R. Young, Balázs Bárány

  2020-08-04

  33665 2772 Pages:557-591