An efficient numerical solution for linear stability of circular jet: A combination of Petrov-Galerkin spectral method and exponential coordinate transformation based on Fornberg's treatment

M. L. Xie; J. Z. Lin

doi:10.1002/fld.1975

An efficient numerical solution for linear stability of circular jet: A combination of Petrov-Galerkin spectral method and exponential coordinate transformation based on Fornberg's treatment

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1975 ◽

2009 ◽

Vol 61 (7) ◽

pp. 780-795 ◽

Cited By ~ 1

Author(s):

M. L. Xie ◽

J. Z. Lin

Keyword(s):

Numerical Solution ◽

Spectral Method ◽

Linear Stability ◽

Coordinate Transformation ◽

Galerkin Spectral Method

Error analysis for a Galerkin-spectral method with coordinate transformation for solving singularly perturbed problems

Applied Numerical Mathematics ◽

10.1016/s0168-9274(01)00036-8 ◽

2001 ◽

Vol 38 (3) ◽

pp. 315-345 ◽

Cited By ~ 27

Author(s):

Wenbin Liu ◽

Tao Tang

Keyword(s):

Error Analysis ◽

Spectral Method ◽

Coordinate Transformation ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Galerkin Spectral Method

A Unified Petrov–Galerkin Spectral Method and Fast Solver for Distributed-Order Partial Differential Equations

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-020-00070-w ◽

2020 ◽

Author(s):

Mehdi Samiee ◽

Ehsan Kharazmi ◽

Mark M. Meerschaert ◽

Mohsen Zayernouri

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Spectral Method ◽

Partial Differential ◽

Fast Solver ◽

Galerkin Spectral Method ◽

Distributed Order

An efficient finite difference/Hermite–Galerkin spectral method for time-fractional coupled sine–Gordon equations on multidimensional unbounded domains and its application in numerical simulations of vector solitons

Computer Physics Communications ◽

10.1016/j.cpc.2018.11.010 ◽

2019 ◽

Vol 237 ◽

pp. 110-128 ◽

Cited By ~ 5

Author(s):

Shimin Guo ◽

Liquan Mei ◽

Yanren Hou ◽

Zhengqiang Zhang

Keyword(s):

Finite Difference ◽

Numerical Simulations ◽

Spectral Method ◽

Unbounded Domains ◽

Galerkin Spectral Method

Numerical Solution Of An Elastic Wave Equation Using The Spectral Method

Harmonization of Seismic Hazard in Vrancea Zone - NATO Science for Peace and Security Series C: Environmental Security ◽

10.1007/978-1-4020-9242-8_19 ◽

2009 ◽

pp. 319-327

Author(s):

A. Zaicenco ◽

V. Alkaz

Keyword(s):

Wave Equation ◽

Elastic Wave ◽

Numerical Solution ◽

Spectral Method ◽

Elastic Wave Equation

Erratum: A Legendre-Galerkin spectral method for constructing atmospheric acoustic normal modes [J. Acoust. Soc. Am. 143, 3595–3601 (2018)]

The Journal of the Acoustical Society of America ◽

10.1121/1.5082304 ◽

2018 ◽

Vol 144 (6) ◽

pp. 3117-3117

Author(s):

Richard B. Evans ◽

Xiao Di ◽

Kenneth E. Gilbert

Keyword(s):

Spectral Method ◽

Normal Modes ◽

Galerkin Spectral Method

Fully Petrov–Galerkin spectral method for the distributed-order time-fractional fourth-order partial differential equation

Engineering With Computers ◽

10.1007/s00366-020-00968-2 ◽

2020 ◽

Cited By ~ 1

Author(s):

Farhad Fakhar-Izadi

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Spectral Method ◽

Fourth Order ◽

Order Partial Differential Equation ◽

Partial Differential ◽

Galerkin Spectral Method ◽

Distributed Order

A Legendre-Galerkin spectral method for constructing atmospheric acoustic normal modes

The Journal of the Acoustical Society of America ◽

10.1121/1.5040481 ◽

2018 ◽

Vol 143 (6) ◽

pp. 3595-3601 ◽

Cited By ~ 1

Author(s):

Richard B. Evans ◽

Xiao Di ◽

Kenneth E. Gilbert

Keyword(s):

Spectral Method ◽

Normal Modes ◽

Galerkin Spectral Method

A Petrov–Galerkin spectral method for the numerical simulation and analysis of fractional anomalous diffusion

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6908 ◽

2020 ◽

Vol 44 (2) ◽

pp. 2021-2032

Author(s):

Mostafa Jani ◽

Esmail Babolian ◽

Dambaru Bhatta

Keyword(s):

Numerical Simulation ◽

Spectral Method ◽

Anomalous Diffusion ◽

Galerkin Spectral Method

Spectral method for the numerical solution of the three-dimensional hydrodynamic equations for tides and surges

Lecture Notes on Coastal and Estuarine Studies - Mathematical Modelling of Estuarine Physics ◽

10.1007/978-3-642-46416-4_7 ◽

1980 ◽

pp. 75-90 ◽

Cited By ~ 1

Author(s):

N. S. Heaps

Keyword(s):

Numerical Solution ◽

Spectral Method ◽

Three Dimensional ◽

Hydrodynamic Equations

Spectral method for the numerical solution of the three-dimensional hydrodynamic equations for tides and surges

Mathematical Modelling of Estuarine Physics: Proceedings of an International Symposium Held at the German Hydrographic Institute Hamburg, August 24-26, 1978 - Lecture Notes on Coastal and Estuarine Studies ◽

10.1029/ln001p0075 ◽

1980 ◽

pp. 75-90

Author(s):

N. S. Heaps

Keyword(s):

Numerical Solution ◽

Spectral Method ◽

Three Dimensional ◽

Hydrodynamic Equations