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• Novel Symplectic Discrete Singular Convolution Method for Hamiltonian PDEs

  Wenjun Cai, Huai Zhang & Yushun Wang

  2020-07-31

  40513 3304 Pages:1375-1396

• Chebyshev-Legendre Spectral Domain Decomposition Method for Two-Dimensional Vorticity Equations

  Hua Wu, Jiajia Pan & Haichuan Zheng

  2020-07-31

  40913 3283 Pages:1221-1241

• Numerical Methods for Solving the Hartree-Fock Equations of Diatomic Molecules II

  John C. Morrison, Kyle Steffen, Blake Pantoja, Asha Nagaiya, Jacek Kobus & Thomas Ericsson

  2018-04-03

  41176 3238 Pages:632-647

• An Adaptive ANOVA-Based Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficient

  Zhiwen Zhang, Xin Hu, Thomas Y. Hou, Guang Lin & Mike Yan

  2014-12-08

  39540 3893 Pages:571-598

• Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains

  C. S. Chen & Andreas Karageorghis

  2018-09-01

  45553 5029 Pages:41-67

• Differential Formulation of Discontinuous Galerkin and Related Methods for the Navier-Stokes Equations

  Haiyang Gao, Z. J. Wang & H. T. Huynh

  2013-08-05

  43607 4094 Pages:1013-1044

• A Two-Parameter Continuation Method for Rotating Two-Component Bose-Einstein Condensates in Optical Lattices

  Y.-S. Wang, B.-W. Jeng & C.-S. Chien

  2018-03-27

  38580 3983 Pages:442-460

• A Compressed Sensing Approach for Partial Differential Equations with Random Input Data

  L. Mathelin & K. A. Gallivan

  2012-12-01

  40558 4094 Pages:919-954

• Thermal Response Variability of Random Polycrystalline Microstructures

  Bin Wen, Zheng Li & Nicholas Zabaras

  2011-10-01

  38937 3936 Pages:607-634

• Spectral Elliptic Solvers in a Finite Cylinder

  F. Auteri & L. Quartapelle

  2018-04-11

  41949 3721 Pages:426-441

• Fast Numerical Methods for Stochastic Computations: A Review

  Dongbin Xiu

  2018-04-11

  44058 4513 Pages:242-272

• Spectral Methods for Resolving Spike Dynamics in the Geirer-Meinhardt Model

  Michael McCourt, Nicholas Dovidio & Michael Gilbert

  2008-03-01

  41664 3821 Pages:659-678

• Efficient Solution of a Generalized Eigenvalue Problem Arising in a Thermoconvective Instability

  M. C. Navarro, H. Herrero, A. M. Mancho & A. Wathen

  2018-03-24

  39566 4055 Pages:308-329

• Novel Conservative Methods for Schrödinger Equations with Variable Coefficients over Long Time

  Xu Qian, Yaming Chen & Songhe Song

  2014-03-05

  41425 3951 Pages:692-711

• Integral Regularization PINNs for Evolution Equations

  Xiaodong Feng, Haojiong Shangguan, Tao Tang, Xiaoliang Wan

  2025-11-28

  919 31 Pages:356-386

• Fast Solution for Solving the Modified Helmholtz Equation with the Method of Fundamental Solutions

  C. S. Chen, Xinrong Jiang, Wen Chen & Guangming Yao

  2018-04-02

  38516 3019 Pages:867-886

• Directly Simulation of Second Order Hyperbolic Systems in Second Order Form via the Regularization Concept

  Hassan Yousefi, Seyed Shahram Ghorashi & Timon Rabczuk

  2018-04-04

  42244 4654 Pages:86-135

• Fractional Buffer Layers: Absorbing Boundary Conditions for Wave Propagation

  Min Cai, Ehsan Kharazmi, Changpin Li, George Em Karniadakis

  2022-01-27

  44308 3249 Pages:331-369

• A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations

  Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson

  2021-02-25

  48292 3371 Pages:979-1029

• A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media

  Ji Lin, Sergiy Reutskiy, C. S. Chen & Jun Lu

  2019-02-25

  47236 5427 Pages:233-264

• Collocation Methods for Cauchy Problems of Elliptic Operators via Conditional Stabilities

  Siqing Li & Leevan Ling

  2019-04-28

  45793 3059 Pages:785-808

• Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes

  Jea-Hyun Park, Abner J. Salgado, Steven M. Wise

  2023-03-13

  46369 3577 Pages:367-398