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• Analysis of Artificial Dissipation of Explicit and Implicit Time-Integration Methods

  Philipp Öffner, Jan Glaubitz, Hendrik Ranocha

  2020-05-20

  34837 2693 Pages:332-349

• 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

• Improved Error Estimates of a Finite Difference/Spectral Method for Time-Fractional Diffusion Equations

  Chunwan Lv & Chuanju Xu

  2015-12-01

  35330 2692 Pages:384-400

• A Splitting Spectral Method for the Nonlinear Dirac-Poisson Equations

  Dandan Wang, Yong Zhang, Hanquan Wang

  2023-05-22

  28972 2381 Pages:577-595

• Waveform Relaxation Methods for Stochastic Differential Equations

  H. Schurz & K. R. Schneider

  2006-03-01

  29516 2597 Pages:232-254

• Symmetric High Order Gautschi-Type Exponential Wave Integrators Pseudospectral Method for the Nonlinear Klein-Gordon Equation in the Nonrelativistic Limit Regime

  Yan Wang, Xiaofei Zhao

  2018-08-15

  32116 2554 Pages:405-427

• Comparison of a Spectral Collocation Method and Symplectic Methods for Hamiltonian Systems

  N. Kanyamee & Z. Zhang

  2018-08-15

  33003 3761 Pages:86-104

• Fully Diagonalized Chebyshev Spectral Methods for Second and Fourth Order Elliptic Boundary Value Problems

  Jing-Min Li, Zhong-Qing Wang, Huiyuan Li

  2018-08-14

  31772 3704 Pages:243-259

• A Note on Optimal Spectral Bounds for Nonoverlapping Domain Decomposition Preconditioners for $hp$-Version Discontinuous Galerkin Methods

  P. F. Antonietti, P. Houston & I. Smears

  2016-07-03

  32045 2707 Pages:513-524

• An Effective Algorithm for Computing Fractional Derivatives and Application to Fractional Differential Equations

  Minling Zhang, Fawang Liu, Vo Anh

  2021-05-25

  40857 2665 Pages:458-480

• Uniform $L^p$-Bound of the Allen-Cahn Equation and Its Numerical Discretization

  Jiang Yang, Qiang Du, Wei Zhang

  2018-08-14

  33451 3776 Pages:213-227 Open-access

• A Spectral Method on Tetrahedra Using Rational Basis Functions

  H. Li, L.-L. Wang

  2010-07-01

  31243 2631 Pages:330-355

• Spectral Element Methods on Hybrid Triangular and Quadrilateral Meshes

  Jingliang Li, Heping Ma, Li-Lian Wang, Hua Wu

  2018-08-14

  33460 3891 Pages:111-133

• The Arakawa Jacobian Method and a Fourth-Order Essentially Nonoscillatory Scheme for the Beta-Plane Barotropic Equations

  A. Kacimi, T. Aliziane & B. Khouider

  2013-10-01

  33964 2676 Pages:571-587

• Analysis of Any-Order Runge-Kutta Spectral Volume Schemes for 1D Hyperbolic Equations

  Ping Wei, Qingsong Zou

  2025-12-28

  906 70 Pages:184-222

• Weakly Regular Sturm-Liouville Problems: A Corrected Spectral Matrix Method

  Cecilia Magherini

  2021-02-04

  32978 3196 Pages:62-78

• Provably Convergent Plug-and-Play Proximal Block Coordinate Descent Method for Hyperspectral Anomaly Detection

  Xiaoxia Liu, Shijie Yu

  2025-10-21

  5466 310 Pages:63-82

• Nano-Rod Suspension Flows: A 2D Smoluchowski-Navier-Stokes Solver

  M. G. Forest, R. Zhou & Q. Wang

  2021-11-09

  30375 2357 Pages:478-488

• Real-Time Multiscale Detection of Defective Pills During Manufacturing

  C. C. Douglas, L. Deng, Y. Efendiev, G. Haase, A. Kucher, R. A. Lodder

  2012-09-01

  33084 2494 Pages:169-180