Parallel extrapolation methods and their application in chemical engineering

1. P. Arbenz, W. Gander: A Survey of Direct Parallel Algorithms for Banded Linear Systems. Technical Report TR 221, Inst. for Scientific Comp., ETH Zürich (1994).

   Google Scholar 

2. K. Burrage: Parallel and Sequential Methods for Ordinary Differential Equations. Oxford University Press: New York (1996).

   Google Scholar 

3. R.D. da Cunha, T. Hopkins: A parallel implementation of the restarted GMRES iterative algorithm for nonsymmetric systems of linear equations. Adv. Comp. Math. 2, pp. 261–277 (1994).

   Google Scholar 

4. P. Deuflhard, U. Nowak: Extrapolation Integrators for Quasilinear Implicit ODE'S In: P. Deuflhard, B. Engquist (eds.): Large Scale Scientific Computing. Progress in Scientific Computing, Birkhaeuser 7, pp. 37–50 (1987).

   Google Scholar 

5. P. Deuflhard, J. Lang, U. Nowak: Adaptive Algorithms in Dynamical Process Simulation. 8th Conference of the European Consortium for Mathematics in Industry, Kaiserslautern (1994).

   Google Scholar 

6. P.F. Dubois, A. Greenbaum, G.H. Rodrigue: Approximating the inverse of a matrix for use in iterative algorithms on vector processors. Computing 22, pp. 257–268 (1979).

   Google Scholar 

7. G. Eigenberger, U. Nieken: Katalytische Abluftreinigung: Verfahrenstechnische Aufgaben und neue Lösungen. Chem. Ing. Techn. 63(8), (1991).

   Google Scholar 

8. E. Hairer, G. Wanner: Solving Ordinary Differential Equations II. — Stiff and Differential-Algebraic Problems. Springer Series in Computational Mathematics 14, Springer Verlag, Berlin-Heidelberg (1991)

   Google Scholar 

9. U. Nowak: A fully Adaptive MOL-Treatment of Parabolic 1D-Problems with Extrapolation Techniques. Appl. Num. Math. 20, pp. 129–145 (1996).

   Google Scholar 

10. L.R. Petzold: A Description of DASSL: a differential-algebraic system solver. Proc. IMACS World Congress, Montreal, Canada (1982).

    Google Scholar 

11. G. Radicati di Brozolo, Y. Robert: Parallel conjugate gradient-like algorithms for solving sparse nonsymmetric linear systems on a vector multiprocessor. Parallel Computing 11, pp, 223–239 (1989).

    Google Scholar 

12. T. Rauber, G. Rünger: Load Balancing for Extrapolation Methods on Distributed Memory Multiprocessors. In: Lecture Notes in Computer Science 817, pp. 277–288, Athen, July 1994. PARLE 1994, Springer.

    Google Scholar 

13. Y. Saad, M.H. Schultz: GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comp. 7, pp. 856–869 (1986).

    Google Scholar 

14. K. Schaber, J. Körber: Formation of Aerosols in Absorption Processes for Exhaust Gas Purification. J. Aerosol. Sci. 22, pp. 5501–5504 (1991).

    Google Scholar 

15. H.A. van der Vorst: BI-CGSTAB: A fast and smoothly converging variant of BI-CG for the solution of non-symmetric linear systems. SIAM J. Sci. Stat. Comp. 13, pp. 631–644 (1992).

    Google Scholar 

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