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• Novel Symplectic Discrete Singular Convolution Method for Hamiltonian PDEs

  Wenjun Cai, Huai Zhang, Yushun Wang

  2020-07-31

  40658 3362 Pages:1375-1396

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

  Hua Wu, Jiajia Pan, Haichuan Zheng

  2020-07-31

  41064 3336 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

  41360 3284 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

  39710 3969 Pages:571-598

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

  C. S. Chen, Andreas Karageorghis

  2018-09-01

  45776 5217 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

  43774 4169 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

  38749 4033 Pages:442-460

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

  L. Mathelin, K. A. Gallivan

  2012-12-01

  40701 4140 Pages:919-954

• Thermal Response Variability of Random Polycrystalline Microstructures

  Bin Wen, Zheng Li, Nicholas Zabaras

  2011-10-01

  39085 3996 Pages:607-634

• Spectral Elliptic Solvers in a Finite Cylinder

  F. Auteri, L. Quartapelle

  2018-04-11

  42126 3784 Pages:426-441

• Fast Numerical Methods for Stochastic Computations: A Review

  Dongbin Xiu

  2018-04-11

  44353 4617 Pages:242-272

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

  Michael McCourt, Nicholas Dovidio, Michael Gilbert

  2008-03-01

  41840 3894 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

  39725 4116 Pages:308-329

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

  Xu Qian, Yaming Chen, Songhe Song

  2014-03-05

  41568 3992 Pages:692-711

• Integral Regularization PINNs for Evolution Equations

  Xiaodong Feng, Haojiong Shangguan, Tao Tang, Xiaoliang Wan

  2026-02-15

  4126 195 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

  38815 3072 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

  42387 4774 Pages:86-135

• Fractional Buffer Layers: Absorbing Boundary Conditions for Wave Propagation

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

  2022-01-27

  44505 3312 Pages:331-369

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

  Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson

  2021-02-25

  48592 3439 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

  47446 5581 Pages:233-264

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

  Siqing Li, Leevan Ling

  2019-04-28

  45995 3119 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

  46587 3648 Pages:367-398