Monotone iterative ADI method for semilinear parabolic problems
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| 003 | CHVBK | ||
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| 008 | 210128e20150901xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10543-014-0529-6 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10543-014-0529-6 | ||
| 100 | 1 | |a Boglaev |D Igor |u Institute of Fundamental Sciences, Massey University, Private Bag 11-222, Palmerston North, New Zealand |4 aut | |
| 245 | 1 | 0 | |a Monotone iterative ADI method for semilinear parabolic problems |h [Elektronische Daten] |c [Igor Boglaev] |
| 520 | 3 | |a The paper deals with numerical solving semilinear parabolic problems based on a nonlinear alternating direction implicit (ADI) scheme. The convergence of the nonlinear ADI scheme to the continuous solution is proved. The existence and uniqueness of a solution of the nonlinear ADI scheme are established. A monotone iterative ADI method is constructed. An analysis of convergence of the monotone iterative ADI method to the solution of the nonlinear ADI scheme on the whole time interval is given. Numerical experiments are presented. | |
| 540 | |a Springer Science+Business Media Dordrecht, 2014 | ||
| 690 | 7 | |a Semilinear parabolic problem |2 nationallicence | |
| 690 | 7 | |a Nonlinear ADI scheme |2 nationallicence | |
| 690 | 7 | |a Upper and lower solutions |2 nationallicence | |
| 690 | 7 | |a Monotone iterations |2 nationallicence | |
| 690 | 7 | |a Monotone iterative ADI method |2 nationallicence | |
| 773 | 0 | |t BIT Numerical Mathematics |d Springer Netherlands |g 55/3(2015-09-01), 647-676 |x 0006-3835 |q 55:3<647 |1 2015 |2 55 |o 10543 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10543-014-0529-6 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10543-014-0529-6 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Boglaev |D Igor |u Institute of Fundamental Sciences, Massey University, Private Bag 11-222, Palmerston North, New Zealand |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t BIT Numerical Mathematics |d Springer Netherlands |g 55/3(2015-09-01), 647-676 |x 0006-3835 |q 55:3<647 |1 2015 |2 55 |o 10543 | ||