Search Results

• Jacobi Spectral Galerkin Methods for a Class of Nonlinear Weakly Singular Volterra Integral Equations

  Kapil Kant, Moumita Mandal, Gnaneshwar Nelakanti

  2021-06-08

  45409 3238 Pages:1227-1260

• A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions

  Jialing Wang, Tingchun Wang, Yushun Wang

  2023-02-24

  38290 3223 Pages:786-813

• Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources

  Jae-Hun Jung, Wai Sun Don

  2021-07-01

  41658 4171 Pages:769-780

• Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk

  Wangbo Luo, Yanxiang Zhao

  2024-12-02

  17536 1171 Pages:69-103

• Piecewise Spectral Collocation Method for Second Order Volterra Integro-Differential Equations with Nonvanishing Delay

  Zhenrong Chen, Yanping Chen, Yunqing Huang

  2022-08-08

  288741 4027 Pages:1333-1356

• A Spectral Split-Step Padé Method for Guided Wave Propagation

  Daniel Walsken, Pavel Petrov, Matthias Ehrhardt

  2026-01-30

  64 5

• Nonpolynomial Jacobi Spectral-Collocation Method for Weakly Singular Fredholm Integral Equations of the Second Kind

  Qiumei Huang, Min Wang

  2024-05-14

  25393 2559 Pages:927-951

• A Spectral Method for Second Order Volterra Integro-Differential Equation with Pantograph Delay

  Weishan Zheng, Yanping Chen

  2013-05-01

  41751 4228 Pages:131-145

• On the Comparison Between Lattice Boltzmann Methods and Spectral Methods for DNS of Incompressible Turbulent Channel Flows on Small Domain Size

  Liren Li, Yipeng Shi, Shengqi Zhang, Lian-Ping Wang, Zhenhua Xia

  2019-04-16

  50025 3259 Pages:598-607

• Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory

  Yan Gu, Chia-Ming Fan, Zhuojia Fu

  2021-11-17

  50189 4092 Pages:1520-1534

• A Stochastic Collocation Method for Delay Differential Equations with Random Input

  Tao Zhou

  2014-06-01

  53774 4664 Pages:403-418 Open-access

• Convergence Analysis for the Chebyshev Collocation Methods to Volterra Integral Equations with a Weakly Singular Kernel

  Xiong Liu, Yanping Chen

  2021-07-01

  41724 3740 Pages:1506-1524

• Mass-, and Energy-Preserving Sine Pseudo-Spectral Schemes with High-Accuracy for the Coupled Nonlinear Schrödinger Equation

  Yayun Fu, Gengen Zhang, Xu Qian, Songhe Song

  2025-07-19

  7895 507 Pages:1430-1455

• A Well-Conditioned Spectral Integration Method for High-Order Differential Equations with Variable Coefficients

  Yurun Wang, Huiling Su, Fei Liu

  2024-11-01

  15390 1417 Pages:1549-1568

• Convergence Analysis of Legendre-Collocation Spectral Methods for Second Order Volterra Integro-Differential Equation with Delay

  Weishan Zheng, Yanping Chen, Yunqing Huang

  2019-01-11

  43983 3130 Pages:486-500

• A New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

  Yanhong Yang, Yongzhong Song, Haochen Li, Yushun Wang

  2018-09-17

  44189 4863 Pages:242-260

• Two Novel Space-Time Polynomial Particular Solutions Methods for the Time-Dependent Schrödinger Equation

  Yanhua Cao, Song Luo

  2025-09-29

  7089 322 Pages:1789-1812

• A Hybrided Trapezoidal-Difference Scheme for Nonlinear Time-Fractional Fourth-Order Advection-Dispersion Equation Based on Chebyshev Spectral Collocation Method

  Shichao Yi, Hongguang Sun

  2019-01-04

  46585 4468 Pages:197-215

• Numerical Computation of Helical Waves in a Finite Circular Cylinder Using Chebyshev Spectral Method

  Xing-Liang Lyu, Wei-Dong Su

  2024-01-04

  27313 2415 Pages:331-354

• A Spectral Time-Domain Method for Computational Electrodynamics

  James V. Lambers

  2021-07-01

  40759 4118 Pages:781-798

• An Adaptive High-Order Surface Finite Element Method for Polymeric Self-Consistent Field Theory on General Curved Surfaces

  Kai Jiang, Xin Wang, Jianggang Liu, Huayi Wei

  2024-12-02

  14597 1186 Pages:123-147

• Spectral Collocation Method for a Class of Integro-Differential Equations with Erdélyi-Kober Fractional Operator

  M. Toranj-Simin, M. Hadizadeh

  2020-01-17

  56054 3285 Pages:386-406

• The Plane Wave Methods for the Time-Harmonic Elastic Wave Problems with the Complex Valued Coefficients

  Long Yuan, Shuai Xi, Binlin Zhang

  2021-06-08

  44132 3183 Pages:1169-1202

• A Fast Preconditioning Strategy for QSC-CN Scheme of Space Fractional Diffusion Equations and Its Spectral Analysis

  Wei Qu, Yuanyuan Huang, Siu-Long Lei

  2024-11-01

  15770 1404 Pages:1474-1501

• Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

  Qing Cheng, Cheng Wang

  2021-11-17

  118890 6054 Pages:1318-1354

• A Posteriori Error Estimates for $hp$ Spectral Element Approximation of Elliptic Control Problems with Integral Control and State Constraints

  Jinling Zhang, Yanping Chen, Yunqing Huang, Fenglin Huang

  2022-01-24

  41089 3377 Pages:469-493

• Spectral-Collocation Method for Volterra Delay Integro-Differential Equations with Weakly Singular Kernels

  Xiulian Shi, Yanping Chen

  2018-05-05

  41426 3087 Pages:648-669