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by J ECKSTEIN - Cited by 273

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by T LINSSHowever we shall discretize using an alternating directions approach. Split r = ...... [13] G. I. Marchuk. Splitting and alternating direction methods. ...

http://www.math.ualberta.ca/ijnam/Volume-7-2010/No-3-10/2010-03-08.pdf

Douglas-Rachford splitting. The alternating direction method of ...... [33] G.I. Marchuk, Methods of Numerical Mathematics (Springer, New York, 1975). ...

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similar to the Alternating Direction Implicit (ADI)-iteration process (Remark 1). ...... Marchuk, G.I. (1968) 'Some applications of splitting-up methods ...

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advection dominates in two directions but the other components are nonstiff. ... G.I. Marchuk, Splitting and alternating direction methods. ...

http://www.ams.org/mcom/1998-67-221/S0025-5718-98-00914-4/S0025-5718-98-00914-4.pdf

[3] G.I. Marchuk. 'Splitting and alternating direction methods' from 'Hand- book of Numerical Analysis', edited by P.G. Ciarlet and J.L. Lions, vol- ...

http://www.mate.tue.nl/mate/pdfs/996.pdf

(Marchuk-)Yanenko method. L = S. ∑ s=1 Ls. (differential or algebraic) .... Alternating Direction Implicit (ADI) method. L = L1 + L2 .... The notions “operator splitting” and “fractional step methods” are used ...

http://www.mathematik.uni-dortmund.de/~kuzmin/cfdintro/lecture11.pdf

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Finite Difference Methods (Part 1), Splitting and Alternating Direction. Methods, G.I. Marchuk (North-Holland, 1990). [2] Deyuan Li, Hongshou Shui, ...

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(LOD) schemes and alternating direction implicit (ADI) methods. ..... certain time-split methods, such as the classical (3,3) AD1 method [6,7], only points ..... [5] G. I. Marchuk, Methods of Numerical Mathematics, Springer-Verlag, ...

http://www.informaworld.com/index/770973517.pdf

alternating-direction, and splitting methods) to .... 8 MARCHUK, G.I.. Methods of Numerical Mathematics. Springer-Verlag Berlin. 1975. 9 PEACEMAN, D.W. ...

http://sim.sagepub.com/cgi/reprint/38/1/20.pdf

with the 2π-periodic boundary conditions in both directions. ..... [42] G.I Marchuk, Splitting and alternating direction methods, in Handbook of numerical ...

http://www.math.tulane.edu/~kurganov/Chertock-Kurganov_QdM.pdf

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difference operator-splitting method, a version of the known ...... Marchuk, G.I. (1982), Methods of Numerical Mathematics, Springer-Verlag, Berlin. ...

http://sesis.eng.brighton.ac.uk/publications/Journal Papers 1996-00/Pavlov2000.pdf

directions involves either a global transpose of the data so that all the data for an ..... 15 G. I. Marchuk. Splitting and alternating direction methods. ...

http://www.mgnet.org/~douglas/Preprints/pub0060.pdf

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This was the main reason for the formulation of alternate directions implicit ...... G. I. Marchuk, Methods of Numerical Mathematics, 2nd ed., ... Splitting and alternating direction methods, Handbook of Numerical Analysis, Vol. I, ...

http://amrx.oxfordjournals.org/cgi/reprint/2005/4/117.pdf

by LL Thompson - Cited by 49

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splitting-up operator method [15], which includes the alternating direction implicit ..... [14] G. I. Marchuk, Methods of Numerical Mathematics, 2nd ed. ...

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A grid of size h in both x and ^-directions and time step T is ..... Dropping 0(%3+h3) terms in (5.11) then gives the new alternating formulation in d .... MARCHUK, G. I. 1971 SYNSPADE 1970: On the theory of the splitting-up method (Ed. B. ... 1972 Splitting methods for parabolic and hyperbolic partial differential ...

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