DOI: 10.1016/0021-9991(82)90039-0. On local relaxation methods and their application to convection-diffusion equations

On local relaxation methods and their application to convection-diffusion equations

10.1016/0021-9991(82)90039-0

Crossref journal-article

Elsevier BV

Journal of Computational Physics (78)

Bibliography

Botta, E. F. F., & Veldman, A. E. P. (1982). On local relaxation methods and their application to convection-diffusion equations. Journal of Computational Physics, 48(1), 127â149.

Authors 2

Eugen F.F Botta (first)
Arthur E.P Veldman (additional)

References 37 Referenced 31

10.1017/S0022112066000545 / J. Fluid Mech. by Burggraf (1966)
10.1016/0021-9991(78)90105-5 / J. Comput. Phys. by Tuann (1978)
10.1007/BF00042748 / J. Engrg. Math. by Khosla (1979)
10.1016/0021-9991(79)90160-8 / J. Comput. Phys. by Benjamin (1979)
{'key': '10.1016/0021-9991(82)90039-0_BIB5', 'series-title': 'Finite Difference Methods for Partial Differential Equations', 'author': 'Forsythe', 'year': '1960'} / Finite Difference Methods for Partial Differential Equations by Forsythe (1960)
{'key': '10.1016/0021-9991(82)90039-0_BIB6', 'series-title': 'Lectures on the Numerical Solutions of Linear, Singular, and Nonlinear Differential Equations', 'author': 'Greenspan', 'year': '1968'} / Lectures on the Numerical Solutions of Linear, Singular, and Nonlinear Differential Equations by Greenspan (1968)
{'key': '10.1016/0021-9991(82)90039-0_BIB7', 'series-title': 'Heat and Mass Transfer in Recirculating Flows', 'author': 'Gosman', 'year': '1969'} / Heat and Mass Transfer in Recirculating Flows by Gosman (1969)
10.1002/nme.1620040408 / Internat. J. Numer. Methods Engrg. by Runchal (1972)
10.1016/0045-7930(74)90013-9 / Comput. and Fluids by Raithby (1974)
{'key': '10.1016/0021-9991(82)90039-0_BIB10', 'series-title': 'Proceedings, AIAA 3rd Computational Fluid Dynamics Conference', 'author': 'Atias', 'year': '1975'} / Proceedings, AIAA 3rd Computational Fluid Dynamics Conference by Atias (1975)
10.1016/0045-7930(76)90010-4 / Comput. and Fluids by De Vahl Davis (1976)
10.1002/nme.1620140103 / Internat. J. Numer. Methods Engrg. by Moult (1979)
10.1016/0307-904X(79)90052-0 / Appl. Math. Modelling by Richards (1979)
10.1016/0021-9991(78)90056-6 / J. Comput. Phys. by Cheng (1978)
10.1016/0045-7930(81)90026-8 / Comput. and Fluids by Gresho (1981)
10.1093/qjmam/8.2.129 / Q. J. Mech. Appl. Math. by De G. Allen (1955)
10.1002/nme.1620120303 / Internat. J. Numer. Methods Engrg. by Steele (1978)
10.1002/nme.1620040409 / Internat. J. Numer. Methods Engrg. by Spalding (1972)
10.1063/1.1692474 / Phys. Fluids by Dennis (1969)
{'key': '10.1016/0021-9991(82)90039-0_BIB20', 'series-title': 'Numerical Methods in Fluid Dynamics', 'author': 'Jacobs', 'year': '1974'} / Numerical Methods in Fluid Dynamics by Jacobs (1974)
10.1016/0045-7930(74)90014-0 / Comput. and Fluids by Khosla (1974)
10.1016/0307-904X(78)90037-9 / Appl. Math. Modelling by Richards (1978)
10.1016/0045-7930(73)90010-8 / Comput. and Fluids by Veldman (1973)
{'key': '10.1016/0021-9991(82)90039-0_BIB24', 'article-title': 'The Solution of the Navier-Stokes Equations near the Trailing Edge of a Flat Plate', 'author': 'Dijkstra', 'year': '1974'} / The Solution of the Navier-Stokes Equations near the Trailing Edge of a Flat Plate by Dijkstra (1974)
{'key': '10.1016/0021-9991(82)90039-0_BIB25', 'article-title': 'Untersuchungen zum Problem des Grenzschichtumschlages durch numerische Integration der Navier-Stokes Gleichungen', 'author': 'Fasel', 'year': '1974'} / Untersuchungen zum Problem des Grenzschichtumschlages durch numerische Integration der Navier-Stokes Gleichungen by Fasel (1974)
{'key': '10.1016/0021-9991(82)90039-0_BIB26', 'series-title': 'Proceedings, AIAA 3rd Computational Fluid Dynamics Conference', 'author': 'Warming', 'year': '1975'} / Proceedings, AIAA 3rd Computational Fluid Dynamics Conference by Warming (1975)
{'key': '10.1016/0021-9991(82)90039-0_BIB27', 'article-title': 'On Obtaining Solutions to the Navier-Stokes Equations with Automatic Digital Computers', 'author': 'Russell', 'year': '1963', 'journal-title': 'Aeronautical Research Council Report R & M 3331'} / Aeronautical Research Council Report R & M 3331 / On Obtaining Solutions to the Navier-Stokes Equations with Automatic Digital Computers by Russell (1963)
10.1017/S0022112069000504 / J. Fluid Mech. by Apelt (1969)
10.1016/0021-9991(80)90186-2 / J. Comput. Phys. by Takemitsu (1980)
10.1137/0901006 / SIAM J. Sci. Stat. Comput. by Strikwerda (1980)
10.1090/S0002-9947-1954-0059635-7 / Trans. Amer. Math. Soc. by Young (1954)
{'key': '10.1016/0021-9991(82)90039-0_BIB32', 'series-title': 'Iterative Solution of Large Linear Systems', 'author': 'Young', 'year': '1971'} / Iterative Solution of Large Linear Systems by Young (1971)
10.1016/0021-9991(79)90138-4 / J. Comput. Phys. by Rigal (1979)
{'key': '10.1016/0021-9991(82)90039-0_BIB34', 'first-page': '245', 'volume': '2', 'author': 'Kjellberg', 'year': '1958', 'journal-title': 'Ericsson Technics Stockholm'} / Ericsson Technics Stockholm by Kjellberg (1958)
{'key': '10.1016/0021-9991(82)90039-0_BIB35', 'article-title': 'Singularity Perturbed Differential Operators of Second Order', 'author': 'De Groen', 'year': '1976'} / Singularity Perturbed Differential Operators of Second Order by De Groen (1976)
10.1016/0045-7930(78)90007-5 / Comput. and Fluids by Kurtz (1978)
10.1016/0021-9991(81)90036-X / J. Comput. Phys. by Ehrlich (1981)

Dates

Type	When
Created	20 years, 10 months ago (Sept. 25, 2004, 11:07 a.m.)
Deposited	1 year, 7 months ago (Jan. 14, 2024, 7:04 a.m.)
Indexed	1 year, 7 months ago (Jan. 14, 2024, 7:02 p.m.)
Issued	42 years, 10 months ago (Oct. 1, 1982)
Published	42 years, 10 months ago (Oct. 1, 1982)
Published Print	42 years, 10 months ago (Oct. 1, 1982)

Funders 0

None

BibTeX

@article{Botta_1982, title={On local relaxation methods and their application to convection-diffusion equations}, volume={48}, ISSN={0021-9991}, url={http://dx.doi.org/10.1016/0021-9991(82)90039-0}, DOI={10.1016/0021-9991(82)90039-0}, number={1}, journal={Journal of Computational Physics}, publisher={Elsevier BV}, author={Botta, Eugen F.F and Veldman, Arthur E.P}, year={1982}, month=oct, pages={127–149} }

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