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

  297227 2787 Pages:603-629

• Image Zooming Algorithm Based on Partial Differential Equations Technique

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

  2009-06-01

  30911 2581 Pages:284-292

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

  Y. Cao, Z. Chen & M. Gunzburger

  2009-06-01

  30642 2556 Pages:256-273

• High Order Method for Variable Coefficient Integro-Differential Equations and Inequalities Arising in Option Pricing

  Pradeep Kumar Sahu, Kuldip Singh Patel

  2023-05-22

  28243 2400 Pages:538-556

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

  K. Muzhinji

  2022-11-28

  291954 3010 Pages:47-66

• Reduced Order Modeling of Some Nonlinear Stochastic Partial Differential Equations

  J. Burkardt, Max D. Gunzburger & C. Webster

  2021-11-09

  30515 2438 Pages:368-391

• Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation

  R. Hartmann & P. Houston

  2006-03-01

  30771 4068 Pages:1-20

• Reduced Approach for Stochastic Optimal Control Problems

  Liuhong Chen, Meixin Xiong, Ju Ming

  2022-09-27

  41812 2913 Pages:237-254

• Error Estimates Under Minimal Regularity for Single Step Finite Element Approximations of Parabolic Partial Differential Equations

  L. S. Hou & W. Zhu

  2006-03-01

  29332 2622 Pages:504-524

• A Diffuse Domain Approximation with Transmission-Type Boundary Conditions I: Asymptotic Analysis and Numerics

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

  2025-05-26

  7770 455 Pages:694-727

• Development, Analysis and Numerical Tests of a Compositional Reservoir Simulator

  Z. Chen & Y. Zhang

  2008-05-01

  31521 3735 Pages:86-100

• ADI Finite Difference Schemes for Option Pricing in the Heston Model with Correlation

  K. J. In ’t Hout & S. Foulon

  2010-07-01

  35069 2775 Pages:303-320

• An Optimal-Order Error Estimate for a Finite Difference Method to Transient Degenerate Advection-Diffusion Equations

  T. Lu & J. Jia

  2012-09-01

  32736 3740 Pages:56-72

• A Higher-Order Ensemble/Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations

  Max Gunzburger, Nan Jiang, Michael Schneier

  2018-08-15

  32856 2472 Pages:608-627

• 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

  7694 441 Pages:728-744

• Convergence and Complexity of Adaptive Finite Element Methods for Elliptic Partial Differential Equations

  L. He & A. Zhou

  2011-08-01

  31898 2606 Pages:615-640

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

  S. Chen

  2021-10-20

  34094 3815 Pages:117-130

• A Uniformly Optimal-Order Estimate for Bilinear Finite Element Method for Transient Advection-Diffusion Equations

  Q. Lin, K. Wang, H. Wang & X. Yin

  2012-09-01

  33342 3759 Pages:73-85

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

  Chunmei Wang

  2025-10-21

  4354 261 Pages:83-102

• 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

  12768 984 Pages:652-673

• A Difference Finite Element Method for Convection-Diffusion Equations in Cylindrical Domains

  Chenhong Shi, Yinnian He, Dongwoo Sheen, Xinlong Feng

  2024-05-20

  20361 1482 Pages:407-430

• A Fully Implicit Method Using Nodal Radial Basis Functions to Solve the Linear Advection Equation

  P.-A. Gourdain, M. Evans, H. R. Hasson, J. R. Young, I. West-Abdallah, M. B. Adams

  2023-03-30

  29150 2548 Pages:437-458

• Preconditioning a Coupled Model for Reactive Transport in Porous Media

  Laila Amir, Michel Kern

  2018-10-19

  35482 4225 Pages:18-48

• Solution of Burgers' Equation Using the Marker Method

  Jerome L. V. Lewandowski

  2006-03-01

  30760 3684 Pages:80-93

• Partially Observable Stochastic Optimal Control

  G.-C. Wang, J. Xiong & S.-Q. Zhang

  2016-07-03

  31986 2686 Pages:493-512

• Numerical Solution of Nonstationary Problems for a Convection and a Space-Fractional Diffusion Equation

  P. Vabishchevich

  2016-03-10

  32421 2596 Pages:296-309

• QR Versus Cholesky: A Probabilistic Analysis

  M. Lira, R. Iyer, A. A. Trindade & V. Howle

  2018-08-15

  35580 4379 Pages:114-121