| 1. |
- Engquist, Björn, et al.
(författare)
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Automatic analysis in PDE software
- 1984
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Ingår i: PDE Software. - Amsterdam, The Netherlands : Elsevier Science. - 0444876200 ; , s. 399-409
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Konferensbidrag (refereegranskat)
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| 2. |
- Engquist, Björn, et al.
(författare)
-
Automatic computer code generation for hyperbolic and parabolic differential equations
- 1980
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Ingår i: SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING. - : Society for Industrial & Applied Mathematics (SIAM). - 0196-5204 .- 2168-3417. ; 1:2, s. 249-259
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Tidskriftsartikel (refereegranskat)abstract
- A program system which generates computer code for the numerical solution of systems of hyperbolic and parabolic differential equations is described. The input to the program is a mathematical formulation of a hyperbolic or parabolic initial boundary value problem in one space dimension. The differential equations and boundary conditions are analyzed by the program system, and a finite difference algorithm is designed for the given problem. The output is an executable FORTRAN program.
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| 3. |
- Engquist, Björn
(författare)
-
Inverse imaging methods in exploration seismology
- 1980
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Ingår i: Computing Methods in Applied Sciences and Engineering. - Amsterdam, The Netherlands : Elsevier Science. ; , s. 547-552
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Konferensbidrag (refereegranskat)
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| 4. |
- Engquist, Björn, et al.
(författare)
-
Numerical radiation boundary conditions for unsteady transonic flow
- 1981
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Ingår i: Journal of Computational Physics. - : Elsevier BV. - 0021-9991 .- 1090-2716. ; 40:1, s. 91-103
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Tidskriftsartikel (refereegranskat)abstract
- A family of numerical boundary conditions for far-field-computational boundaries in calculations involving unsteady transonic flow is devised. These boundary conditions are developed in a systematic fashion from general principles. Both numerical and analytic comparisons with other currently used methods are given.
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| 5. |
- Engquist, Björn, et al.
(författare)
-
One-sided difference schemes and transonic flow
- 1980
-
Ingår i: Proceedings of the National Academy of Sciences of the United States of America. - : Proceedings of the National Academy of Sciences. - 0027-8424 .- 1091-6490. ; 77:6, s. 3071-3074
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Tidskriftsartikel (refereegranskat)abstract
- Two one-sided conservation form difference approximations to a scalar one-dimensional convex conservation law are introduced. These are respectively of first- and second-order accuracy and each has the minimum possible band-width. They are nonlinearly stable, they converge only to solutions satisfying the entropy condition, and they have sharp monotone profiles. No such stable approximation of order higher than two is possible. Dimensional splitting algorithms are constructed and used to approximate the small-disturbance equation of transonic flow. These approximations are also nonlinearly stable and without nonphysical limit solutions.
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| 6. |
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