Solution of systems of nonlinear equations - a semi-implicit approach

Applied Numerical Mathematics

Volumn 59, Issue 10, 2009, Pages 2430-2443

  Scheffel, Jan ^a   Håkansson, Cristian ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Global convergence; Iterative methods; Newton's method; Root solver; Rootfinding; Semi implicit method; Systems of equations

Indexed keywords

GLOBAL CONVERGENCE; NEWTON'S METHOD; ROOT SOLVER; ROOTFINDING; SEMI-IMPLICIT METHOD; SYSTEMS OF EQUATIONS;

NEWTON-RAPHSON METHOD; PARTIAL DIFFERENTIAL EQUATIONS;

NONLINEAR EQUATIONS;

EID: 67649774237     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2009.05.002     Document Type: Article

References (13)

1. An H.-B., and Bai Z.-Z. A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations. Appl. Numer. Math. 57 (2007) 235-252
2. Bellavia S., and Morini B. A globally convergent Newton-GMRES subspace method for systems of nonlinear equations. SIAM J. Sci. Comput. 23 (2001) 940-960
3. Dahlquist G., and Björck A. Numerical Methods (1974), Prentice-Hall, Englewood Cliffs, NJ
4. Dembo R.S., Eisenstat S.C., and Steihaug T. Inexact Newton methods. SIAM J. Numer. Anal. 19 (1982) 400-408
5. Gottlieb D., and Orszag A. Numerical Analysis of Spectral Methods: Theory and Applications (1977), SIAM, Philadelphia
6. Harned D.S., and Kerner W. Semi-implicit method for three-dimensional compressible magnetohydrodynamic simulation. J. Comput. Phys. 60 (1985) 62-75
7. Harned D.S., and Schnack D.D. Semi-implicit method for long time scale magnetohydrodynamic computations in three dimensions. J. Comput. Phys. 65 (1986) 57-70
8. Luksan L. Inexact trust region method for large sparse systems of nonlinear equations. J. Optim. Theory Appl. 81 (1994) 569-590
9. Ostrowski A.M. Solution of Equations and Systems of Equations (1966), Academic Press, New York and London
10. Press W.H., Teukolsky S.A., Vetterling W.T., and Flannery B.P. Numerical Recipes (1992), Cambridge University Press, Cambridge, NY
11. Scheffel J. Solution of systems of nonlinear equations - a semi-implicit approach. TRITA-EE 2006:006, Royal Inst. of Technology, Stockholm, Sweden, 2006. Available at. http://www.ee.kth.se/php/index.php?action=publications
12. Scheffel J. The time- and parameter-generalized weighted residual method. TRITA-EE 2008:006, Royal Inst. of Technology, Stockholm, Sweden, 2008. Available at. http://www.ee.kth.se/php/index.php?action=publications
13. Stoer J., and Bulirsch R. Introduction to Numerical Analysis (1993), Springer, New York, NY