1. Gregory Beylkin,James Keiser,Lev Vozovoi (1998). A New Class of Time Discretization Schemes for the Solution of Nonlinear PDEs. J. Comput. Journal of Computational Physics, 147(2), 362-387.
2. Certaine (1960). The Solution of Ordinary Dierential Equations with Large Time Constants. Mathematical Methods for Digital Computers, 128-132.
3. A. Friedli (1978). Generalized Runge-Kutta Methods for the Solution of Stiff Dierential Equations In Numerical Treatment of Dierential Equations, R Burlirsch,R Grigorie, and J. Lecture Notes in Mathematics, 35-50.
4. S. Norsett (1969). An A-Stable Modication of the Adams- Bashforth Methods. In Conf. on Numerical Solution of Dierential Equations. Lecture Notes in Math. 109/, 1969, 214-219.
5. C. Klein (2008). Fourth Order Time-Stepping for Low Dispersion Korteweg-de Vries and Nonlinear Schro ̈dinger Equations. Electronic Transactions on Numerica Analysis, 29, 116-135.
6. Aly-Khan Kassam,Lloyd Trefethen (2005). Fourth-Order Time Stepping for Stiff. PDEs. SIAM J. Sci. SIAM Journal on Scientific Computing, 26(4), 1214-1233.
7. D. Armbruster,J. Guckenheimer,P. Holmes (1989). Kuramoto–Sivashinsky Dynamics on the Center–Unstable Manifold. Appl. Math, 49, 676-691.
8. Daniel Michelson (1986). Steady solutions of the Kuramoto-Sivashinsky equation. Physica D, 19(1), 89-111.
9. B. Nicolaenko,B. Scheurer,R. Temam (1985). Some global dynamical properties of the Kuramoto-Sivashinsky equations: Nonlinear stability and attractors. Physica D, 16(2), 155-183.
10. R. Burden,J. Faires (2001). Numerical Analysis.
11. Marlis Hochbruck,Alexander Ostermann (2005). Explicit Exponential Runge-Kutta Methods for Semilinear Parabolic Problems. SIAM J. Numer. SIAM Journal on Numerical Analysis, 43(3), 1069-1090.
12. S. Cox,P. Matthews (2002). Exponential Time Differencing for Stiff Systems. J. Comput. Journal of Computational Physics, 176(2), 430-455.
13. A. Kassam (2004). High Order Time stepping for Stiff Semi-Linear Partial Differential Equations. PhD thesis
14. J. Miles,An problem (1981). An envelope soliton problem. SIAM J. Appl. Math, 41, 227-230.
15. John Boyd (2001). Chebyshev & Fourier Spectral Methods. Chebyshev and Fourier Spectral Methods
16. C. Canuto,M. Hussain,A. Quarteroni,T. Zang (1988). Spectral Methods in Fluid Dynamics. Spectral Methods in Fluid Dynamics
17. B. Fornberg (1998). A Practical Guide to Pseudospectral Methods.
18. D. Gottlieb,S. Orszag (1977). Numerical Analysis of Spectral Methods: Theory and Applications, SIAM, 1977.
19. Lloyd Trefethen (2000). Spectral Methods in MATLAB. Spectral Methods in MATLAB
20. A. Taflove (1995). Computational Electrodynamics: The Finite Difference Time-Domain Method, Artech House, Boston, 1995.
21. G. Beylkin,J. Keiser,L. Vozovoi A New Class of Time Discretization Schemes for the Solution of Nonlinear PDEs. Comp. Phys
22. D. Mott,E. Oran,B. van Leer (2000). A quasi-steady state solver for stiff ODE of reaction kinetics. J. Comp. Phys, 164, 407-428.
23. W. Q. Du,Analysis,their modifications (2005). Analysis and Applications of the Exponential Time Differencing Schemes and Their Contour Integration Modifications. BIT Numerical Mathematics, 45, 307-328.
24. B. Fornberg,T. Driscoll (1999). A fast spectral algorithm for nonlinear wave equations with linear dispersion. J. Comp. Phys, 155, 456-467.
