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International Journal of Computer Mathematics Volume 9, 1981 - Issue 1
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Original Articles

Some L-stable methods for stiff differential equations

R.E. Scraton School of Mathematical Sciences, University of Bradford, Bradford, England
Pages 81-87 | Received 01 Mar 1980, Published online: 19 Mar 2007

Citations (17)

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Read on this site (2)

R. E. Scraton. (1989) Third-order linearly implicit l-stable methods for stiff differential equations. International Journal of Computer Mathematics 28:1-4, pages 195-205.
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R.E. Scraton. (1986) Second-order linearly implicit methods for stiff differential equations. International Journal of Computer Mathematics 20:1, pages 57-66.
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Articles from other publishers (15)

Arunasalam Rahunanthan & Dan Stanescu. (2010) High-order -methods . Journal of Computational and Applied Mathematics 233:8, pages 1798-1811.
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T Bräuer, S Gortchakov, D Loffhagen, S Pfau & R Winkler. (1997) The temporal decay of the diffusion-determined afterglow plasma of the positive column. Journal of Physics D: Applied Physics 30:23, pages 3223-3239.
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Lawrence F. Shampine & Mark W. Reichelt. (1997) The MATLAB ODE Suite. SIAM Journal on Scientific Computing 18:1, pages 1-22.
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S. Gortchakov, D. Loffhagen & R. Winkler. (2007) Spatially Homogeneous Modelling of a Stabilized XeCl* Laser Discharge. Contributions to Plasma Physics 37:6, pages 539-554.
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M.E. Hosea & L.F. Shampine. (1996) Analysis and implementation of TR-BDF2. Applied Numerical Mathematics 20:1-2, pages 21-37.
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A. Schwabedissen, D. Loffhagen, T. Hammer & W. B�tticher. (1995) Experimental verification of a zero-dimensional model of the kinetics of XeCl* discharges by XeCl*(B)-, XeCl*(C)-, and Xe2Cl*-density measurements. Applied Physics B Laser and Optics 61:2, pages 175-186.
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L.F. Shampine & A. Witt. (1995) A simple step size selection algorithm for ODE codes. Journal of Computational and Applied Mathematics 58:3, pages 345-354.
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Dieter Klages & Frank Demmig. 1995. Shock Waves @ Marseille II. Shock Waves @ Marseille II 375 380 .
A. Schwabedissen, D. Loffhagen, Th. Hammer & W. B�tticher. (1994) Experimental verification of a zero-dimensional model of the kinetics of XeCl* discharges by Xe*-, Cl*-, Ne*-, and H*-density measurements. Applied Physics B Laser and Optics 58:6, pages 471-481.
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H. L�ck, D. Loffhagen & W. B�tticher. (1994) Experimental verification of a zero-dimensional model of the ionization kinetics of XeCl discharges. Applied Physics B Laser and Optics 58:2, pages 123-132.
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D. Klages & F. Demmig. (2006) Model computations of the influence of carbon impurities on the ionization relaxation in krypton shock waves. Journal of Fluid Mechanics 232:-1, pages 455.
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R Wester, S Seiwert & R Wagner. (1991) Theoretical and experimental investigations of the filamentation of high-frequency excited CO 2 laser discharges . Journal of Physics D: Applied Physics 24:10, pages 1796-1802.
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J. D. Pryce. (2006) Experiences with writing library software for an attached processor. Software: Practice and Experience 15:7, pages 705-714.
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Lawrence F. Shampine & Lorraine S. Baca. (1984) Error estimators for stiff differential equations. Journal of Computational and Applied Mathematics 11:2, pages 197-207.
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T. S. Chua & P. M. Dew. (2005) The design of a variable‐step integrator for the simulation of gas transmission networks. International Journal for Numerical Methods in Engineering 20:10, pages 1797-1813.
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