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Differentiation Matrix Suite

swMATH ID: 12762
Software Authors: Weideman, J. A. C.; Reddy, S. C
Description: A Matlab differentiation matrix suite. A software suite consisting of 17 MATLAB functions for solving differential equations by the spectral collocation (i.e., pseudospectral) method is presented. It includes functions for computing derivatives of arbitrary order corresponding to Chebyshev, Hermite, Laguerre, Fourier, and sinc interpolants. Auxiliary functions are included for incorporating boundary conditions, performing interpolation using barycentric formulas, and computing roots of orthogonal polynomials. It is demonstrated how to use the package for solving eigenvalue, boundary value, and initial value problems arising in the fields of special functions, quantum mechanics, nonlinear waves, and hydrodynamic stability.
Homepage: https://www.mathworks.com/matlabcentral/fileexchange/29-dmsuite
Dependencies: Matlab
Related Software: Matlab; Chebfun; Eigtool; DLMF; LAPACK; bvp4c; OPQ; MATCONT; advanpix; ode23; MATLAB ODE suite; Ode15s; SLEDGE; Octave; chebop; MATLAB expm; Sinc-Pack; FFTW; GitHub; ode23s
Cited in: 259 Publications
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Cited by 408 Authors

11 Jovanović, Mihailo R.
10 Gheorghiu, Călin Ioan
9 Nechepurenko, Yuri M.
7 Boyd, John Philip
7 Henningson, Dan S.
6 Boiko, Andrey V.
6 Demyanko, Kirill V.
5 Bottaro, Alessandro
5 Brandt, Luca
5 de la Hoz, Francisco
5 Dehghan Takht Fooladi, Mehdi
5 Fornberg, Bengt
5 Javidi, Mohammad
5 Klein, Christian
5 Kumar, Satish
5 Stoilov, Nikola M.
5 Weideman, J. André C.
5 Zhang, Mengqi
4 Ghorbani, Asghar
4 Hwang, Yongyun
4 McKeon, Beverley J.
4 Motsa, Sandile Sydney
4 Průša, Vít
4 Vadillo, Fernando
3 Armfield, Steven William
3 Bandyopadhyay, Dipankar
3 Cossu, Carlo
3 Craster, Richard V.
3 Elgindy, Kareem T.
3 Gayme, Dennice F.
3 Golbabai, Ahmad
3 Jones, Bryn Ll.
3 McBain, Geordie Drummond
3 Sabouri, Mania
3 Shi, Yang
3 Taher, Anis Haytham Saleh
3 Tang, Xiaojun
3 Vermiglio, Rossana
2 Adams, Samuel D. M.
2 Airiau, Christophe
2 Alboussière, Thierry
2 Atangana, Abdon
2 Basto, Mário
2 Bewley, Thomas R.
2 Breda, Dimitri
2 Calheiros, Francisco L.
2 Cavalieri, André V. G.
2 Dragomirescu, Florica-Ioana
2 Edgington-Mitchell, Daniel M.
2 Fasondini, Marco
2 Foroozandeh, Zahra
2 Fukagata, Koji
2 Gao, Peng
2 Ghosh, Abir
2 Grimshaw, Roger Hamilton James
2 Hanifi, Ardeshir
2 Hochstenbach, Michiel E.
2 Hoda, Nazish
2 Högberg, Markus
2 Hœpffner, Jérôme
2 Johnson, Edward Robert
2 Jordan, Peter
2 Kerrigan, Eric C.
2 Khan, Yasir
2 Landreman, Matt
2 Lieu, Binh K.
2 Liu, Chang
2 Llewellyn Smith, Stefan G.
2 Lu, Xiyun
2 Luhar, Mitul
2 Lundell, Fredrik
2 Mai-Duy, Nam
2 Makinde, Oluwole Daniel
2 Mathias, Simon A.
2 Miao, Changqing
2 Moarref, Rashad
2 Nakashima, Satoshi
2 Nogueira, Petrônio A. S.
2 Owolabi, Kolade Matthew
2 Plestenjak, Bor
2 Rajagopal, Kumbakonam Ramamani
2 Rowley, Clarence W.
2 Saberi-Nadjafi, Jafar
2 Saucez, Philippe
2 Scarabel, Francesca
2 Schlatter, Philipp
2 Semiao, Viriato
2 Shamsi, Mostafa
2 Sharma, Ati S.
2 Shateyi, Stanford
2 Sibanda, Precious
2 Smith-Miles, Kate A.
2 Tempelmann, David
2 Trummer, Manfred R.
2 Vande Wouwer, Alain
2 Wan, Zhanhong
2 Wang, Lilian
2 Wu, Boying
2 Xu, Heyong
2 You, Zhenjiang
...and 308 more Authors
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Cited in 85 Serials

63 Journal of Fluid Mechanics
17 Journal of Computational Physics
12 Journal of Computational and Applied Mathematics
10 Applied Mathematics and Computation
10 Physics of Fluids
7 Numerical Algorithms
7 SIAM Journal on Scientific Computing
6 Applied Numerical Mathematics
6 Russian Journal of Numerical Analysis and Mathematical Modelling
5 European Journal of Mechanics. B. Fluids
4 Computers & Mathematics with Applications
4 Automatica
4 SIAM Journal on Numerical Analysis
4 Applied Mathematical Modelling
4 International Journal of Computer Mathematics
4 Mathematical Problems in Engineering
3 Mathematical Methods in the Applied Sciences
3 Chaos, Solitons and Fractals
3 Numerical Methods for Partial Differential Equations
3 Journal of Scientific Computing
3 Computational Mathematics and Mathematical Physics
2 International Journal of Control
2 Wave Motion
2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
2 Mathematics of Computation
2 Theoretical and Computational Fluid Dynamics
2 ACM Transactions on Mathematical Software
2 Quarterly of Applied Mathematics
2 Physica D
2 Communications in Nonlinear Science and Numerical Simulation
1 Acta Mechanica
1 Archives of Mechanics
1 Computers and Fluids
1 Computer Physics Communications
1 International Journal of Engineering Science
1 International Journal of Heat and Mass Transfer
1 International Journal for Numerical Methods in Fluids
1 Journal of Engineering Mathematics
1 Letters in Mathematical Physics
1 BIT
1 Mathematics and Computers in Simulation
1 Meccanica
1 Acta Applicandae Mathematicae
1 Bulletin of the Iranian Mathematical Society
1 Mathematical and Computer Modelling
1 Journal of Non-Newtonian Fluid Mechanics
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Communications in Numerical Methods in Engineering
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Journal of Vibration and Control
1 Mathematics and Mechanics of Solids
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Abstract and Applied Analysis
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Chaos
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Flow, Turbulence and Combustion
1 Computational Geosciences
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Physica Scripta
1 The ANZIAM Journal
1 Journal of Zhejiang University. Science
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Journal of Applied Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Journal of Applied Mathematics and Computing
1 SIAM Journal on Applied Dynamical Systems
1 Communications in Mathematical Sciences
1 Foundations of Physics
1 Waves in Random and Complex Media
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Journal of Zhejiang University. Science A
1 Frontiers of Mathematics in China
1 Applied Mathematical Sciences (Ruse)
1 Communications in Computational Physics
1 Advances in Applied Mathematics and Mechanics
1 International Journal of Mathematical Modelling and Numerical Optimisation
1 Synthesis Lectures on Algorithms and Software in Engineering
1 Mathematics Monograph Series
1 Journal of Computational Dynamics
1 International Journal of Applied and Computational Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Other Titles in Applied Mathematics
1 Water Waves

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