Search Results

• Comparative Studies on Mesh-Free Deep Neural Network Approach Versus Finite Element Method for Solving Coupled Nonlinear Hyperbolic/Wave Equations

  Xingwen Zhu, Mingyan He, Pengtao Sun

  2022-08-22

  297414 2852 Pages:603-629

• Image Zooming Algorithm Based on Partial Differential Equations Technique

  R. Gao, J.-P. Song, X.-C. Tai

  2009-06-01

  31051 2635 Pages:284-292

• Reduced Order Modeling of Some Nonlinear Stochastic Partial Differential Equations

  John Burkardt, Max D. Gunzburger, Clayton Webster

  2021-11-09

  30680 2491 Pages:368-391

• ANOVA Expansions and Efficient Sampling Methods for Parameter Dependent Nonlinear PDEs

  Yanzhao Cao, Zheng Chen, Max Gunzburger

  2009-06-01

  30805 2600 Pages:256-273

• Optimal Block Preconditioner for an Efficient Numerical Solution of the Elliptic Optimal Control Problems Using GMRES Solver

  K. Muzhinji

  2022-11-28

  292148 3120 Pages:47-66

• 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

  13071 1093 Pages:652-673

• A Diffuse Domain Approximation with Transmission-Type Boundary Conditions II: Gamma-Convergence

  Toai Luong, Tadele Mengesha, Steven M. Wise, Ming Hei Wong

  2025-05-26

  7917 536 Pages:728-744

• Fixed-Point Fast Sweeping WENO Methods for Steady State Solution of Scalar Hyperbolic Conservation Law

  S. Chen

  2021-10-20

  34286 3915 Pages:117-130

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

  Chunmei Wang

  2025-10-21

  5701 403 Pages:83-102

• Deep Surrogate Model for Learning Green’s Function Associated with Linear Reaction-Diffusion Operator

  Junqing Jia, Lili Ju, Xiaoping Zhang

  2024-10-08

  13115 1117 Pages:697-715

• An Asymptotic Expansion-Based Deep Neural Network for Solving Singularly Perturbed Problems with Exponential Boundary Layers

  Shuiqian Xu, Jiangxing Wang, Yiduo Zhang, Xiaofeng Yang

  2025-12-28

  1221 225 Pages:163-183