1 |
Geiser, J. (2009), "Operator-splitting methods in respect of eigenvalue problems for nonlinear equations and applications to burgers equations", J. Comput. Appl. Math., 231(2), 815-827.
DOI
ScienceOn
|
2 |
Geiser, J. (2011), Iterative splitting methods for differential equations, CRC Press, New York, USA.
|
3 |
Geiser, J. (2010), Iterative splitting methods for differential equations. series: numerical analysis and scientific computing, CRC Press, Taylor and Franics Group, London.
|
4 |
Greve, R. and Blatter, H. (2009), Dynamics of ice sheets and glaciers, Springer, Berlin, Germany.
|
5 |
Hackbusch, W. (1985), Multi-grid methods and applications, Springer, Berlin, Germany.
|
6 |
Hackbusch, W. (1986), Theorie und numerik elliptischer differentialgleichungen, Teubner, Stuttgart, Germany.
|
7 |
Hestenes, M. and Stiefel, E. (1952), "Methods of conjugate gradients for solving linear systems", J. Res. Nat. Bureau Standards, 49(6), 409-438.
DOI
|
8 |
Jenson, J.W. (1994), A nonlinear numerical model of the Lake Michigan lobe, Laurentide ice sheet. Doctoral thesis, Department of Geology, Oregon State University, Corvallis, OR, USA.
|
9 |
Joughin, I., Fahnestock, M. MacAyeal, D.R., Bamber, J.L. and Gogenini, S.P. (2001), "Observation and analysis of ice flow in the largest Greenland ice stream", J. Geophys. Res., 106(24), 34021-34034.
DOI
|
10 |
Kanney, J., Miller, C. and Kelley, C. (2003), "Convergence of iterative split-operator approaches for approximating nonlinear reactive transport problems", Adv. Water. Resour., 26(3), 247-261.
DOI
ScienceOn
|
11 |
LAPACK92. LAPACK (1992), Linear algebra package, Software Library, http://www.netlib.org/lapack/.
|
12 |
LIS11. LIS (2011), A library of iterative solvers for linear systems, Software Library, http://www.ssisc.org/.
|
13 |
Storti, M.M., Nigro, N. and Idelsohn, S. (1991), "Multigrid methods and adaptive refinement techniques in elliptic problems by finite element methods", Comput. Method. Appl. M., 93(1),13-30.
DOI
ScienceOn
|
14 |
MacAyeal, D.R. (1993), "A tutorial in the use of control methods in ice-sheet modeling", J. Glaciol., 39(131), 91-98.
DOI
|
15 |
MacAyeal, D.R. (1995), "Basal friction of Ice Stream E,West Antarctica", J. Glaciol., 41(138), 247-262.
DOI
|
16 |
Pollard, D. and DeConto, R.M. (2007), A coupled ice-sheet/ice-shelf/sediment model applied to a marine-margin flowline: forced and unforced variations, (Eds., Hambrey, M.J., Christoffersen, P., Glasser, N.F. and Hubbard, B.), Glacial Sedimentary Processes and Products, International Association of Sedimentologists Special Publication No. 39, 37-52. Blackwell Publ.
|
17 |
Saad, Y. (2003), Iterative methods for sparse linear systems,Society for Industrial Mathematics, Philiadelphia, USA.
|
18 |
Smith, B. Bjoerstad, P. and Gropp, W. (1999), Domain decomposition: parallel multilevel methods for elliptic partial differential equations, Cambridge Univ Press, New York, USA.
|
19 |
Smith, B., Boyle, J., Dongarra, J., Garbow, B., Ikebe, Y., Klema, V. and Moler, C. (1976), Matrix eigensystem routines, EISPACK Guide. Lecture Notes in Computer Science, Springer, New York.
|
20 |
Thomas, J.W. (1999), Numerical partial differential equations: conservation laws and elliptic equations, Springer, New York.
|
21 |
Toselli, A. and Widlund, O. (2005), Domain decomposition methods: algorithms and theory. Springer, Berlin, Germany.
|
22 |
Trottenberg, U., Oosterlee, C. and Schuller, A. (2001), Multigrid, Academic Press, San Diego, USA.
|
23 |
van Gijzen, M.B., Erlangga, Y.A. and VuikKanney, C. (2007), "Spectral analysis of the discrete helmholtz operator preconditioned with a shifted laplacian", SIAM J. Sci. Comput., 29(5),1942-1958.
DOI
ScienceOn
|
24 |
Zeidler, E. (1990), Nonlinear functional analysis and its applications II/B: nonlinear monotone operators, Springer, New York.
|
25 |
Bueler, E., Lingle, C.S., Kallen-Brown, J.A., Covey, D.N. and Bowman, L.N. (2005), "Exact solutions and verification of numerical models for isothermal ice sheets", J. Glaciol., 51(173), 291-306.
DOI
ScienceOn
|
26 |
Arakawa, A. (1972), Design of the ucla general circulation model, Technical report no. 7, Department of Meteorology, University of California.
|
27 |
Barbu, V. (1998), Partial differential equations and boundary value problems, Kluwer Academic Publishers, Dordrecht.
|
28 |
Bueler, E. and Brown, J. (2009), "Shallow shelf approximation as a "sliding law" in a thermomechanically coupled ice sheet model", J. Geophys. Res., 114(3), F03008.
DOI
|
29 |
Geiser, J. (2008), "Operator-splitting methods respecting eigenvalue problems for convection diffusion and wave equations", Int. J. Appl. Math. Mech., 4(5), 93-104.
|