-
1
-
-
0028450357
-
An essentially non-oscillatory reconstruction procedure on finite-element type meshes: Application to compressible flows
-
R. Abgrall (1994a), 'An essentially non-oscillatory reconstruction procedure on finite-element type meshes: Application to compressible flows', Comput. Methods Appl. Mech. Engrg. 116, 95-101.
-
(1994)
Comput. Methods Appl. Mech. Engrg
, vol.116
, pp. 95-101
-
-
Abgrall, R.1
-
2
-
-
0002677386
-
On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation
-
1994&
-
R. Abgrall (1994&), 'On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation', J. Comput. Phys. 114, 45-58.
-
J. Comput. Phys
, vol.114
, pp. 45-58
-
-
Abgrall, R.1
-
3
-
-
0039969880
-
On the use of Mühlbach expansions in the recovery step of ENO methods
-
R. Abgrall and T. Sonar (1997), 'On the use of Mühlbach expansions in the recovery step of ENO methods', Numer. Math. 76, 1-27.
-
(1997)
Numer. Math
, vol.76
, pp. 1-27
-
-
Abgrall, R.1
Sonar, T.2
-
4
-
-
0029657348
-
Implicit time stepping methods for the Navier-Stokes equations
-
K. J. Badcock and B. E. Richards (1995), 'Implicit time stepping methods for the Navier-Stokes equations', AIAA Journal 34, 555-559.
-
(1995)
AIAA Journal
, vol.34
, pp. 555-559
-
-
Badcock, K.J.1
Richards, B.E.2
-
5
-
-
0002641609
-
Refinement algorithms and data structures for local regular mesh refinements
-
R. Stepleman et al, eds, IMACS North-Holland, pp
-
R. E. Bank, A. H. Sherman and A. Weiser (1983), Refinement algorithms and data structures for local regular mesh refinements, in Scientific Computing (R. Stepleman et al., eds), IMACS North-Holland, pp. 3-17.
-
(1983)
Scientific Computing
, pp. 3-17
-
-
Bank, R.E.1
Sherman, A.H.2
Weiser, A.3
-
7
-
-
0039049266
-
(19886), 'Optimal recovery in the finite element method, Part II: Defect correction for ordinary differential equations
-
J. W. Barrett, G. Moore and K. W. Morton (19886), 'Optimal recovery in the finite element method, Part II: Defect correction for ordinary differential equations', IMA J. Numer. Anal. 8, 527-540.
-
IMA J. Numer. Anal
, vol.8
, pp. 527-540
-
-
Barrett, J.W.1
Moore, G.2
Morton, K.W.3
-
8
-
-
48349083249
-
A second order Godunov-type scheme for compressible fluid dynamics
-
M. Ben-Artzi and J. Falcovitz (1984), 'A second order Godunov-type scheme for compressible fluid dynamics', J. Comput. Phys. 55, 1-32.
-
(1984)
J. Comput. Phys
, vol.55
, pp. 1-32
-
-
Ben-Artzi, M.1
Falcovitz, J.2
-
9
-
-
0345719724
-
Numerical fluid dynamics
-
G. Birkhoff (1983), 'Numerical fluid dynamics', SIAM Rev. 25, 1-34.
-
(1983)
SIAM Rev
, vol.25
, pp. 1-34
-
-
Birkhoff, G.1
-
11
-
-
84966233568
-
Multilevel adaptive solutions to boundary-value problems
-
A. Brandt (1977), 'Multilevel adaptive solutions to boundary-value problems', Math. Comp. 31, 333-390.
-
(1977)
Math. Comp
, vol.31
, pp. 333-390
-
-
Brandt, A.1
-
12
-
-
0021563988
-
Average multi-valued solutions for scalar conservation laws
-
Y. Brenier (1984), 'Average multi-valued solutions for scalar conservation laws', SIAM J. Numer. Anal. 21, 1013-1037.
-
(1984)
SIAM J. Numer. Anal
, vol.21
, pp. 1013-1037
-
-
Brenier, Y.1
-
13
-
-
0022200306
-
Erhaltungssätze und schwache Lösungen in der Gasdynamik
-
G. Bruhn (1985), 'Erhaltungssätze und schwache Lösungen in der Gasdynamik', Math. Methods Appl. Sci. 7, 470-479.
-
(1985)
Math. Methods Appl. Sci
, vol.7
, pp. 470-479
-
-
Bruhn, G.1
-
14
-
-
0001538323
-
The numerical solution of hyperbolic systems of partial differential equations in three independent variables
-
D. S. Butler (1960), 'The numerical solution of hyperbolic systems of partial differential equations in three independent variables', Proc. Roy. Soc. 255A, 233-252.
-
(1960)
Proc. Roy. Soc
, vol.255 A
, pp. 233-252
-
-
Butler, D.S.1
-
15
-
-
0025446989
-
Characteristic Galerkin methods for scalar conservation laws in one dimension
-
P. N. Childs and K. W. Morton (1990), 'Characteristic Galerkin methods for scalar conservation laws in one dimension', SIAM J. Numer. Anal. 27, 553-594.
-
(1990)
SIAM J. Numer. Anal
, vol.27
, pp. 553-594
-
-
Childs, P.N.1
Morton, K.W.2
-
18
-
-
0002084927
-
The development of discontinuous Galerkin methods
-
Springer, New York, pp
-
B. Cockburn, G. E. Karniadakis and C. W. Shu (2000), The development of discontinuous Galerkin methods, in Proc. First International Symposium on Discontinuous Galerkin Methods, Springer, New York, pp. 3-50.
-
(2000)
Proc. First International Symposium on Discontinuous Galerkin Methods
, pp. 3-50
-
-
Cockburn, B.1
Karniadakis, G.E.2
Shu, C.W.3
-
19
-
-
34547419627
-
The piecewise parabolic method (PPM) for gas-dynamical simulations
-
P. Colella and P. R. Woodward (1984), 'The piecewise parabolic method (PPM) for gas-dynamical simulations', J. Comput. Phys. 54, 174-201.
-
(1984)
J. Comput. Phys
, vol.54
, pp. 174-201
-
-
Colella, P.1
Woodward, P.R.2
-
20
-
-
0003908527
-
Über die partiellen Differenzengleichungen der Physik
-
R. Courant, K. O. Friedrichs and H. Lewy (1928), 'Über die partiellen Differenzengleichungen der Physik', Math. Ann. 100, 32-74.
-
(1928)
Math. Ann
, vol.100
, pp. 32-74
-
-
Courant, R.1
Friedrichs, K.O.2
Lewy, H.3
-
21
-
-
0001822084
-
Cell vertex algorithms for the compressible Navier-Stokes equations
-
P. I. Crumpton, J. A. Mackenzie and K. W. Morton (1993), 'Cell vertex algorithms for the compressible Navier-Stokes equations', J. Comput. Phys. 109, 1-15.
-
(1993)
J. Comput. Phys
, vol.109
, pp. 1-15
-
-
Crumpton, P.I.1
Mackenzie, J.A.2
Morton, K.W.3
-
23
-
-
0027552804
-
A multidimensional generalization of Roe's flux difference splitter for the Euler equations
-
H. Deconinck, P. L. Roe and R. Struijs (1993), 'A multidimensional generalization of Roe's flux difference splitter for the Euler equations', Comput. Fluids 22, 215-222.
-
(1993)
Comput. Fluids
, vol.22
, pp. 215-222
-
-
Deconinck, H.1
Roe, P.L.2
Struijs, R.3
-
24
-
-
0001235787
-
Numerical methods for convectiondominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures
-
J. Douglas, Jr. and T. F. Russell (1982), 'Numerical methods for convectiondominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures', SIAM J. Numer. Anal. 19, 321-352.
-
(1982)
SIAM J. Numer. Anal
, vol.19
, pp. 321-352
-
-
Douglas Jr., J.1
Russell, T.F.2
-
25
-
-
0003018067
-
Triangle based adaptive stencils for the solution of hyperbolic conservation laws
-
L. J. Durlofsky, B. Engquist and S. Osher (1992), 'Triangle based adaptive stencils for the solution of hyperbolic conservation laws', J. Comput. Phys. 98, 64-73.
-
(1992)
J. Comput. Phys
, vol.98
, pp. 64-73
-
-
Durlofsky, L.J.1
Engquist, B.2
Osher, S.3
-
26
-
-
85095808297
-
Geometric aspects of the theory of Krylov subspace methods
-
A. Iserles, ed, Cambridge University Press, pp
-
M. Eiermann and O. G. Ernst (2001), Geometric aspects of the theory of Krylov subspace methods, in Acta Numerica, Vol. 10 (A. Iserles, ed.), Cambridge University Press, pp. 251-312.
-
(2001)
Acta Numerica
, vol.10
, pp. 251-312
-
-
Eiermann, M.1
Ernst, O.G.2
-
28
-
-
84966208277
-
One-sided difference approximations for non-linear conservation laws
-
B. Engquist and S. Osher (1981), 'One-sided difference approximations for non-linear conservation laws', Math. Comp. 36, 321-352.
-
(1981)
Math. Comp
, vol.36
, pp. 321-352
-
-
Engquist, B.1
Osher, S.2
-
29
-
-
84968481723
-
Adaptive streamline diffusion finite element methods for stationary convection-diffusion problems
-
K. Eriksson and C. Johnson (1993), 'Adaptive streamline diffusion finite element methods for stationary convection-diffusion problems', Math. Comp. 60, 167-188.
-
(1993)
Math. Comp
, vol.60
, pp. 167-188
-
-
Eriksson, K.1
Johnson, C.2
-
30
-
-
0009522795
-
Introduction to adaptive methods for differential equations
-
A. Iserles, ed, Cambridge University Press, pp
-
K. Eriksson, D. Estep, P. Hansbo and C. Johnson (1995), Introduction to adaptive methods for differential equations, in Acta Numerica, Vol. 4 (A. Iserles, ed.), Cambridge University Press, pp. 105-158.
-
(1995)
Acta Numerica
, vol.4
, pp. 105-158
-
-
Eriksson, K.1
Estep, D.2
Hansbo, P.3
Johnson, C.4
-
31
-
-
0001038302
-
The speed of convergence of one iterative process
-
R. P. Federenko (1964), 'The speed of convergence of one iterative process', USSR Comp. Math, and Math. Phys. 4, 227-235.
-
(1964)
USSR Comp. Math, and Math. Phys
, vol.4
, pp. 227-235
-
-
Federenko, R.P.1
-
32
-
-
0000776336
-
A class of implicit upwind schemes for Euler simulations with unstructured meshes
-
L. Fezoui and B. Stoufnet (1989), 'A class of implicit upwind schemes for Euler simulations with unstructured meshes', J. Comput. Phys. 84, 174-206.
-
(1989)
J. Comput. Phys
, vol.84
, pp. 174-206
-
-
Fezoui, L.1
Stoufnet, B.2
-
33
-
-
34249095782
-
The Preissmann box scheme and its modification for transcritical flows
-
to appear
-
M. A. Freitag and K. W. Morton (2007), 'The Preissmann box scheme and its modification for transcritical flows', Internat. J. Numer. Methods Engrg., to appear.
-
(2007)
Internat. J. Numer. Methods Engrg
-
-
Freitag, M.A.1
Morton, K.W.2
-
34
-
-
0001484343
-
Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids
-
O. Friedrich (1998), 'Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids', J. Comput. Phys. 144, 194-212.
-
(1998)
J. Comput. Phys
, vol.144
, pp. 194-212
-
-
Friedrich, O.1
-
35
-
-
84980082640
-
Symmetric positive linear differential operators
-
K. O. Friedrichs (1958), 'Symmetric positive linear differential operators', Comm. Pure Appl. Math. 11, 333-418.
-
(1958)
Comm. Pure Appl. Math
, vol.11
, pp. 333-418
-
-
Friedrichs, K.O.1
-
37
-
-
0000935266
-
A finite difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics
-
S. K. Godunov (1959), 'A finite difference method for the numerical computation of discontinuous solutions of the equations of fluid dynamics', Mat. Sb. 47, 271-306.
-
(1959)
Mat. Sb
, vol.47
, pp. 271-306
-
-
Godunov, S.K.1
-
38
-
-
0003037370
-
Optimal approximation and error bounds
-
R. E. Langer, ed, University of Wisconsin Press, Madison, pp
-
M. Golomb and H. F. Weinberger (1959), Optimal approximation and error bounds, in Symposium on Numerical Approximation (R. E. Langer, ed.), University of Wisconsin Press, Madison, pp. 117-190.
-
(1959)
Symposium on Numerical Approximation
, pp. 117-190
-
-
Golomb, M.1
Weinberger, H.F.2
-
39
-
-
35348866281
-
Über die Variation der Doppelintegrale
-
A. Haar (1919), 'Über die Variation der Doppelintegrale', J. Reine Angew. Math. 149, 1-18.
-
(1919)
J. Reine Angew. Math
, vol.149
, pp. 1-18
-
-
Haar, A.1
-
41
-
-
0026169962
-
Adaptive streamline diffusion methods for compressible flow using conservation variables
-
P. Hansbo and C. Johnson (1991), 'Adaptive streamline diffusion methods for compressible flow using conservation variables', Comput. Methods Appl. Mech. Engrg. 87, 267-280.
-
(1991)
Comput. Methods Appl. Mech. Engrg
, vol.87
, pp. 267-280
-
-
Hansbo, P.1
Johnson, C.2
-
42
-
-
40749159424
-
High resolution schemes for conservation laws
-
A. Harten (1983), 'High resolution schemes for conservation laws', J. Comput. Phys. 49, 357-393.
-
(1983)
J. Comput. Phys
, vol.49
, pp. 357-393
-
-
Harten, A.1
-
43
-
-
0021381876
-
On a class of high resolution total-variation-stable finite-difference schemes
-
A. Harten (1984), 'On a class of high resolution total-variation-stable finite-difference schemes', SIAM J. Numer. Anal. 21, 1-23.
-
(1984)
SIAM J. Numer. Anal
, vol.21
, pp. 1-23
-
-
Harten, A.1
-
44
-
-
0000999245
-
ENO schemes with subcell resolution
-
A. Harten (1989), 'ENO schemes with subcell resolution', J. Comput. Phys. 83, 148-184.
-
(1989)
J. Comput. Phys
, vol.83
, pp. 148-184
-
-
Harten, A.1
-
45
-
-
0003747018
-
Multi-dimensional ENO schemes for general geometries
-
Report no. 91-76, ICASE
-
A. Harten and S. R. Chakravarthy (1991), Multi-dimensional ENO schemes for general geometries. Report no. 91-76, ICASE.
-
(1991)
-
-
Harten, A.1
Chakravarthy, S.R.2
-
46
-
-
0023329384
-
Uniformly high-order nonoscillatory schemes I
-
A. Harten and S. Osher (1987), 'Uniformly high-order nonoscillatory schemes I', SIAM J. Numer. Anal. 24, 279-309.
-
(1987)
SIAM J. Numer. Anal
, vol.24
, pp. 279-309
-
-
Harten, A.1
Osher, S.2
-
47
-
-
33749725182
-
Uniformly high order accurate essentially non-oscillatory schemes III
-
A. Harten, B. Engquist, S. Osher and S. R. Chakravarthy (1987), 'Uniformly high order accurate essentially non-oscillatory schemes III', J. Comput. Phys. 71, 231-303.
-
(1987)
J. Comput. Phys
, vol.71
, pp. 231-303
-
-
Harten, A.1
Engquist, B.2
Osher, S.3
Chakravarthy, S.R.4
-
48
-
-
0000876320
-
On upstream differencing and Godunovtype schemes for hyperbolic conservation laws
-
A. Harten, P. Lax and B. van Leer (1983), 'On upstream differencing and Godunovtype schemes for hyperbolic conservation laws', SIAM Rev. 25, 35-61.
-
(1983)
SIAM Rev
, vol.25
, pp. 35-61
-
-
Harten, A.1
Lax, P.2
van Leer, B.3
-
49
-
-
46149130784
-
Some results on uniformly high-order accurate essentially nonoscillatory schemes
-
A. Harten, S. Osher, B. Engquist and S. R. Chakravarthy (1986), 'Some results on uniformly high-order accurate essentially nonoscillatory schemes', Appl. Numer. Math. 2, 347-377.
-
(1986)
Appl. Numer. Math
, vol.2
, pp. 347-377
-
-
Harten, A.1
Osher, S.2
Engquist, B.3
Chakravarthy, S.R.4
-
50
-
-
0000135303
-
Methods of conjugate gradients for solving linear problems
-
M. R. Hestenes and E. Stiefel (1952), 'Methods of conjugate gradients for solving linear problems', J. Res. Nat. Bur. Stand. 49, 409-436.
-
(1952)
J. Res. Nat. Bur. Stand
, vol.49
, pp. 409-436
-
-
Hestenes, M.R.1
Stiefel, E.2
-
51
-
-
0003213863
-
Numerical Computation of Internal and External Flows
-
Wiley
-
C. Hirsch (1988), Numerical Computation of Internal and External Flows, Vol. 1: Fundamentals of Numerical Discretization, Wiley.
-
(1988)
Fundamentals of Numerical Discretization
, vol.1
-
-
Hirsch, C.1
-
53
-
-
0033436922
-
A posteriori error analysis for numerical approximation of Friedrichs systems
-
P. Houston, J. M. Mackenzie, E. Suli and G. Warnecke (1999), 'A posteriori error analysis for numerical approximation of Friedrichs systems', Numer. Math. 82, 433-470.
-
(1999)
Numer. Math
, vol.82
, pp. 433-470
-
-
Houston, P.1
Mackenzie, J.M.2
Suli, E.3
Warnecke, G.4
-
54
-
-
0022663140
-
A new finite element formulation for compressible fluid dynamics I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
-
T. J. R. Hughes, L. P. Franca and M. Mallet (1986), 'A new finite element formulation for compressible fluid dynamics I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics', Comput. Methods Appl. Mech. Engrg. 54, 223-234.
-
(1986)
Comput. Methods Appl. Mech. Engrg
, vol.54
, pp. 223-234
-
-
Hughes, T.J.R.1
Franca, L.P.2
Mallet, M.3
-
55
-
-
0030496205
-
On the structure of function spaces in optimal recovery of point functionals for ENO-schemes by radial basis functions
-
A. Iske and T. Sonar (1996), 'On the structure of function spaces in optimal recovery of point functionals for ENO-schemes by radial basis functions', Numer. Math. 74, 177-201.
-
(1996)
Numer. Math
, vol.74
, pp. 177-201
-
-
Iske, A.1
Sonar, T.2
-
56
-
-
33745447720
-
The Millennium Grand Challenge in Mathematics
-
A. M. Jaffe (2006), 'The Millennium Grand Challenge in Mathematics', Notices Amer. Math. Soc. 53, 652-660.
-
(2006)
Notices Amer. Math. Soc
, vol.53
, pp. 652-660
-
-
Jaffe, A.M.1
-
57
-
-
2942626000
-
Acceleration of transonic potential flow calculations on arbitrary meshes by the multiple grid method
-
Paper 79-1458
-
A. Jameson (1979), Acceleration of transonic potential flow calculations on arbitrary meshes by the multiple grid method, in AIAA 4th Computational Fluid Dynamics Conference, Paper 79-1458.
-
(1979)
AIAA 4th Computational Fluid Dynamics Conference
-
-
Jameson, A.1
-
58
-
-
0001097696
-
Numerical solution of the Eu-ler equations by finite volume methods using Runge-Kutta time stepping schemes
-
Paper 81-1259
-
A. Jameson, W. Schmidt and E. Turkel (1981), Numerical solution of the Eu-ler equations by finite volume methods using Runge-Kutta time stepping schemes, in AIAA 14th Fluid and Plasma Dynamics Conference, Paper 81-1259.
-
(1981)
AIAA 14th Fluid and Plasma Dynamics Conference
-
-
Jameson, A.1
Schmidt, W.2
Turkel, E.3
-
59
-
-
0002026863
-
A new paradigm for adaptive finite element methods
-
J. R. Whiteman, ed, Wiley, pp
-
C. Johnson (1994), A new paradigm for adaptive finite element methods, in The Mathematics of Finite Element Methods and Applications: Highlights 1993 (J. R. Whiteman, ed.), Wiley, pp. 105-120.
-
(1994)
The Mathematics of Finite Element Methods and Applications: Highlights 1993
, pp. 105-120
-
-
Johnson, C.1
-
61
-
-
84956238079
-
First-order quasilinear equations in several variables
-
S. Krǔzkov (1970), 'First-order quasilinear equations in several variables', Math. USSR Sb. 10, 217-243.
-
(1970)
Math. USSR Sb
, vol.10
, pp. 217-243
-
-
Krǔzkov, S.1
-
62
-
-
84980077365
-
Local boundary conditions for dissipative symmetric linear differential operators
-
P. D. Lax and R. S. Phillips (1960), 'Local boundary conditions for dissipative symmetric linear differential operators', Comm. Pure Appl. Math. 13, 427-455.
-
(1960)
Comm. Pure Appl. Math
, vol.13
, pp. 427-455
-
-
Lax, P.D.1
Phillips, R.S.2
-
64
-
-
2442433925
-
Towards the ultimate conservative difference scheme V: A second order sequel to Godunov's method
-
B. van Leer (1979), 'Towards the ultimate conservative difference scheme V: A second order sequel to Godunov's method', J. Comput. Phys. 32, 101-136.
-
(1979)
J. Comput. Phys
, vol.32
, pp. 101-136
-
-
van Leer, B.1
-
65
-
-
0026173702
-
The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection
-
B. P. Leonard (1991), 'The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection', Comput. Methods Appl. Mech. Engrg. 88, 17-74.
-
(1991)
Comput. Methods Appl. Mech. Engrg
, vol.88
, pp. 17-74
-
-
Leonard, B.P.1
-
66
-
-
0040100238
-
Numerical solution of the equation of continuity
-
J. J. H. Miller, ed, Academic Press, pp
-
P. Lesaint (1977), Numerical solution of the equation of continuity, in Topics in Numerical Analysis III (J. J. H. Miller, ed.), Academic Press, pp. 199-222.
-
(1977)
Topics in Numerical Analysis III
, pp. 199-222
-
-
Lesaint, P.1
-
68
-
-
0040693656
-
Euler characteristic Galerkin scheme with recovery
-
P. Lin, K. W. Morton and E. Suli (1993), 'Euler characteristic Galerkin scheme with recovery', Math. Modelling Numer. Anal. 27, 863-894.
-
(1993)
Math. Modelling Numer. Anal
, vol.27
, pp. 863-894
-
-
Lin, P.1
Morton, K.W.2
Suli, E.3
-
69
-
-
0012664092
-
Characteristic Galerkin schemes for scalar conservation laws in two and three space dimensions
-
P. Lin, K. W. Morton and E. Suli (1997), 'Characteristic Galerkin schemes for scalar conservation laws in two and three space dimensions', SIAM J. Numer. Anal. 34, 779-796.
-
(1997)
SIAM J. Numer. Anal
, vol.34
, pp. 779-796
-
-
Lin, P.1
Morton, K.W.2
Suli, E.3
-
70
-
-
0345217310
-
-
M.-S. Liou and C. J. Steffen, Jr. (1993), 'A new flux splitting scheme', J. Comput. Phys. 107, 23-39.
-
M.-S. Liou and C. J. Steffen, Jr. (1993), 'A new flux splitting scheme', J. Comput. Phys. 107, 23-39.
-
-
-
-
71
-
-
0000592595
-
Weighted essentially non-oscillatory schemes
-
X.-D. Liu, S. Osher and T. Chan (1994), 'Weighted essentially non-oscillatory schemes', J. Comput. Phys. 115, 200-212.
-
(1994)
J. Comput. Phys
, vol.115
, pp. 200-212
-
-
Liu, X.-D.1
Osher, S.2
Chan, T.3
-
72
-
-
0034409204
-
Evolution Galerkin methods for hyperbolic systems in two space dimensions
-
M. Lukáčová-Medviďová, K. W. Morton and G. Warnecke (2000), 'Evolution Galerkin methods for hyperbolic systems in two space dimensions', Math. Comp. 69, 1355-1384.
-
(2000)
Math. Comp
, vol.69
, pp. 1355-1384
-
-
Lukáčová-Medviďová, M.1
Morton, K.W.2
Warnecke, G.3
-
75
-
-
84960884212
-
The computation of transonic flow through two-dimensional gas turbine cascades
-
Paper 71-GT-89, ASME, New York
-
P. W. McDonald (1971), The computation of transonic flow through two-dimensional gas turbine cascades, in ASME Proc., Paper 71-GT-89, ASME, New York.
-
(1971)
ASME Proc
-
-
McDonald, P.W.1
-
76
-
-
0003420204
-
Multigrid techniques for unstructured meshes
-
von Karman Institute for Fluid Dynamics, Belgium
-
D. J. Mavriplis (1995), Multigrid techniques for unstructured meshes, in VKI Lecture Series VKI-LS 1995-02, von Karman Institute for Fluid Dynamics, Belgium.
-
(1995)
VKI Lecture Series VKI-LS 1995-02
-
-
Mavriplis, D.J.1
-
77
-
-
0036156397
-
An assessment of linear versus nonlinear multigrid methods for unstructured meshes
-
D. J. Mavriplis (2002), 'An assessment of linear versus nonlinear multigrid methods for unstructured meshes', J. Comput. Phys. 175, 302-325.
-
(2002)
J. Comput. Phys
, vol.175
, pp. 302-325
-
-
Mavriplis, D.J.1
-
78
-
-
35348862576
-
Ein Beitrag zum DLR-r-Code: Ein explizites und implizites Finite-Volume Verfahren zur Berechnung instationärer Strömungen auf unstructurierten Gittern
-
223-94 A 36, Institute for Fluid Mechanics, DLR Göttingen
-
A. Meister (1994), Ein Beitrag zum DLR-r-Code: Ein explizites und implizites Finite-Volume Verfahren zur Berechnung instationärer Strömungen auf unstructurierten Gittern. DLR Internal Report IB 223-94 A 36, Institute for Fluid Mechanics, DLR Göttingen.
-
(1994)
DLR Internal Report IB
-
-
Meister, A.1
-
79
-
-
0038631385
-
Comparison of different Krylov subspace methods embedded in an implicit finite volume scheme for the computation of viscous and inviscid flow fields on unstructured grids
-
A. Meister (1998), 'Comparison of different Krylov subspace methods embedded in an implicit finite volume scheme for the computation of viscous and inviscid flow fields on unstructured grids', J. Comput. Phys. 140, 311-345.
-
(1998)
J. Comput. Phys
, vol.140
, pp. 311-345
-
-
Meister, A.1
-
81
-
-
0035645930
-
Efficient preconditioning of linear systems arising from the discretization of hyperbolic conservation laws
-
A. Meister and C. Vömel (2001), 'Efficient preconditioning of linear systems arising from the discretization of hyperbolic conservation laws', Adv. Comput. Math. 14, 49-73.
-
(2001)
Adv. Comput. Math
, vol.14
, pp. 49-73
-
-
Meister, A.1
Vömel, C.2
-
82
-
-
0002252004
-
A survey of optimal recovery
-
C. A. Micchelli and T. J. Rivlin, eds, Plenum, pp
-
C. A. Micchelli and T. J. Rivlin (1977), A survey of optimal recovery, in Optimal Estimation in Approximation Theory (C. A. Micchelli and T. J. Rivlin, eds), Plenum, pp. 1-54.
-
(1977)
Optimal Estimation in Approximation Theory
, pp. 1-54
-
-
Micchelli, C.A.1
Rivlin, T.J.2
-
83
-
-
85025747384
-
Systems of conservation laws of mixed type
-
M. S. Moch (1980), 'Systems of conservation laws of mixed type', J. Diff. Equations 37, 70-88.
-
(1980)
J. Diff. Equations
, vol.37
, pp. 70-88
-
-
Moch, M.S.1
-
84
-
-
33947169843
-
Multiple integral problems in the calculus of variations and related topics
-
C. B. Morrey (1960), 'Multiple integral problems in the calculus of variations and related topics', Ann. Scuola Norm. Pisa (III) 14, 1-61.
-
(1960)
Ann. Scuola Norm. Pisa
, vol.14
, Issue.III
, pp. 1-61
-
-
Morrey, C.B.1
-
86
-
-
0000534145
-
On the analysis of finite volume methods for evolutionary problems
-
K. W. Morton (1998), 'On the analysis of finite volume methods for evolutionary problems', SIAM J. Numer. Anal. 35, 2195-2222.
-
(1998)
SIAM J. Numer. Anal
, vol.35
, pp. 2195-2222
-
-
Morton, K.W.1
-
87
-
-
0036414283
-
Discretization of unsteady hyperbolic conservation laws
-
K. W. Morton (2001), 'Discretization of unsteady hyperbolic conservation laws', SIAM J. Numer. Anal. 39, 1556-1597.
-
(2001)
SIAM J. Numer. Anal
, vol.39
, pp. 1556-1597
-
-
Morton, K.W.1
-
89
-
-
0000916438
-
A finite volume scheme with shock fitting for the steady Euler equations
-
K. W. Morton and M. F. Paisley (1989), 'A finite volume scheme with shock fitting for the steady Euler equations', J. Comput. Phys. 80, 168-203.
-
(1989)
J. Comput. Phys
, vol.80
, pp. 168-203
-
-
Morton, K.W.1
Paisley, M.F.2
-
90
-
-
1642525323
-
Shock recovery and the cell vertex scheme for the steady Euler equations
-
D. L. Dwoyer, M. Y. Hussaini and R. G. Voigt, eds, Springer, pp
-
K. W. Morton and M. A. Rudgyard (1988), Shock recovery and the cell vertex scheme for the steady Euler equations, in 11th International Conference on Numerical Methods in Fluid Dynamics (D. L. Dwoyer, M. Y. Hussaini and R. G. Voigt, eds), Springer, pp. 424-428.
-
(1988)
11th International Conference on Numerical Methods in Fluid Dynamics
, pp. 424-428
-
-
Morton, K.W.1
Rudgyard, M.A.2
-
91
-
-
35348904552
-
Artificial dissipation as a feedback control with application to the cell vertex method
-
M. Hafez and K. Oshima, eds, World Scientific, pp
-
K. W. Morton and S. M. Stringer (1998), Artificial dissipation as a feedback control with application to the cell vertex method, in Computational Fluid Dynamics Review 1998, Vol. 1 (M. Hafez and K. Oshima, eds), World Scientific, pp. 262-279.
-
(1998)
Computational Fluid Dynamics Review 1998
, vol.1
, pp. 262-279
-
-
Morton, K.W.1
Stringer, S.M.2
-
92
-
-
0005432868
-
The general Neville-Aitken algorithm and some applications
-
G. Mühlbach (1978), 'The general Neville-Aitken algorithm and some applications', Numer. Math. 31, 97-110.
-
(1978)
Numer. Math
, vol.31
, pp. 97-110
-
-
Mühlbach, G.1
-
94
-
-
0014996207
-
Calculation of plane steady transonic flows
-
E. M. Murman and J. D. Cole (1971), 'Calculation of plane steady transonic flows', AIAA Journal 9, 114-121.
-
(1971)
AIAA Journal
, vol.9
, pp. 114-121
-
-
Murman, E.M.1
Cole, J.D.2
-
95
-
-
0020209106
-
A multiple grid system for solving the Euler equations
-
R. N. Ni (1982), 'A multiple grid system for solving the Euler equations', AIAA Journal 20, 1565-1571.
-
(1982)
AIAA Journal
, vol.20
, pp. 1565-1571
-
-
Ni, R.N.1
-
97
-
-
0002281210
-
Discontinuous solutions of nonlinear differential equations
-
O. Oleinik (1957), 'Discontinuous solutions of nonlinear differential equations', Usp. Mat. Nauk. (NS) 12, 3-73.
-
(1957)
Usp. Mat. Nauk. (NS)
, vol.12
, pp. 3-73
-
-
Oleinik, O.1
-
98
-
-
84968510942
-
Upwind difference schemes for hyperbolic systems of conservation laws
-
S. Osher and F. Solomon (1982), 'Upwind difference schemes for hyperbolic systems of conservation laws', Math. Comp. 38, 339-374.
-
(1982)
Math. Comp
, vol.38
, pp. 339-374
-
-
Osher, S.1
Solomon, F.2
-
99
-
-
0031236008
-
Multidimensional characteristic Galerkin schemes and evolution operators for hyperbolic systems
-
S. Ostkamp (1997), 'Multidimensional characteristic Galerkin schemes and evolution operators for hyperbolic systems', Math. Methods Appl. Sci. 20, 1111-1125.
-
(1997)
Math. Methods Appl. Sci
, vol.20
, pp. 1111-1125
-
-
Ostkamp, S.1
-
100
-
-
0001338807
-
On the transport-diffusion algorithm and its application to the Navier-Stokes equations
-
O. Pironneau (1982), 'On the transport-diffusion algorithm and its application to the Navier-Stokes equations', Numer. Math. 38, 309-332.
-
(1982)
Numer. Math
, vol.38
, pp. 309-332
-
-
Pironneau, O.1
-
101
-
-
0002235210
-
Propagation des intumescences dans les canaux et rivières
-
Association Française de Calcul, Grenoble, France, pp
-
A. Preissmann (1961), Propagation des intumescences dans les canaux et rivières, in 1st Congr. de l'Assoc. Française de Calcul, Association Française de Calcul, Grenoble, France, pp. 433-442.
-
(1961)
1st Congr. de l'Assoc. Française de Calcul
, pp. 433-442
-
-
Preissmann, A.1
-
103
-
-
20344399861
-
Residual distribution for general time-dependent conservation laws
-
M. Ricciutto, A. Csik and H. Deconinck (2005), 'Residual distribution for general time-dependent conservation laws', J. Comput. Phys. 209, 249-289.
-
(2005)
J. Comput. Phys
, vol.209
, pp. 249-289
-
-
Ricciutto, M.1
Csik, A.2
Deconinck, H.3
-
105
-
-
0015682001
-
Time split finite volume method for three dimensional blunt-body flows
-
A. W. Rizzi and M. Inouye (1973), 'Time split finite volume method for three dimensional blunt-body flows', AAIA Journal 11, 1478-1485.
-
(1973)
AAIA Journal
, vol.11
, pp. 1478-1485
-
-
Rizzi, A.W.1
Inouye, M.2
-
106
-
-
2942757053
-
Approximate Riemann solvers, parameter vectors and difference schemes
-
P. L. Roe (1981), 'Approximate Riemann solvers, parameter vectors and difference schemes', J. Comput. Phys. 43, 357-372.
-
(1981)
J. Comput. Phys
, vol.43
, pp. 357-372
-
-
Roe, P.L.1
-
107
-
-
0001900301
-
Fluctuations and signals: A framework for numerical evolution problems
-
K. W. Morton and M. J. Baines, eds, Academic Press, pp
-
P. L. Roe (1982), Fluctuations and signals: A framework for numerical evolution problems, in Numerical Methods for Fluid Dynamics (K. W. Morton and M. J. Baines, eds), Academic Press, pp. 219-257.
-
(1982)
Numerical Methods for Fluid Dynamics
, pp. 219-257
-
-
Roe, P.L.1
-
108
-
-
35348832446
-
, Numerical Methods
-
G. Ben-dor, O. Igra and T. Elperin, eds, Academic Press, pp
-
P. L. Roe (2001), Chapter 6, Numerical Methods, in Handbook of Shockwaves, Vol. 1 (G. Ben-dor, O. Igra and T. Elperin, eds), Academic Press, pp. 788-876.
-
(2001)
Handbook of Shockwaves
, vol.1
, pp. 788-876
-
-
Roe, P.L.1
-
109
-
-
0000048673
-
A generalized minimal residual algorithm for solving nonsymmetric linear systems
-
Y. Saad and M. H. Schultz (1986), 'A generalized minimal residual algorithm for solving nonsymmetric linear systems', J. Sei. Statist. Comput. 7, 856-869.
-
(1986)
J. Sei. Statist. Comput
, vol.7
, pp. 856-869
-
-
Saad, Y.1
Schultz, M.H.2
-
110
-
-
45449125925
-
Efficient implementation of Essentially Non-Oscillatory shock-capturing schemes
-
C. Shu and S. Osher (1988), 'Efficient implementation of Essentially Non-Oscillatory shock-capturing schemes', J. Comput. Phys. 77, 439-471.
-
(1988)
J. Comput. Phys
, vol.77
, pp. 439-471
-
-
Shu, C.1
Osher, S.2
-
112
-
-
2942705023
-
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
-
G. A. Sod (1978), 'A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws', J. Comput. Phys. 27, 1-31.
-
(1978)
J. Comput. Phys
, vol.27
, pp. 1-31
-
-
Sod, G.A.1
-
113
-
-
0039929025
-
On the design of an upwind scheme for compressible flow on general triangulations
-
T. Sonar (1993a), 'On the design of an upwind scheme for compressible flow on general triangulations', Numer. Algorithms 4, 135-149.
-
(1993)
Numer. Algorithms
, vol.4
, pp. 135-149
-
-
Sonar, T.1
-
114
-
-
43949167815
-
Strong and weak norm refinement indicators based on the finite element residual for compressible flow computation
-
T. Sonar (1993b), 'Strong and weak norm refinement indicators based on the finite element residual for compressible flow computation', IMPACT of Comp, in Science and Eng. 5, 111-127.
-
(1993)
IMPACT of Comp, in Science and Eng
, vol.5
, pp. 111-127
-
-
Sonar, T.1
-
115
-
-
0030490166
-
Optimal recovery using thin plate splines in finite volume methods for the numerical solution of hyperbolic conservation laws
-
T. Sonar (1996), 'Optimal recovery using thin plate splines in finite volume methods for the numerical solution of hyperbolic conservation laws', IMA J. Numer. Anal. 16, 549-581.
-
(1996)
IMA J. Numer. Anal
, vol.16
, pp. 549-581
-
-
Sonar, T.1
-
116
-
-
35348924395
-
-
T. Sonar (2002), Chapter 3, 'Methods on unstructured grids, WENO and ENO recovery techniques', in Hyperbolic Partial Differential Equations: Theory, Numerics and Applications (A. Meister and J. Struckmeier, eds), Vieweg, pp. 115-232.
-
T. Sonar (2002), Chapter 3, 'Methods on unstructured grids, WENO and ENO recovery techniques', in Hyperbolic Partial Differential Equations: Theory, Numerics and Applications (A. Meister and J. Struckmeier, eds), Vieweg, pp. 115-232.
-
-
-
-
117
-
-
0039835168
-
A dual graph-norm refinement indicator for finite volume approximations of the Euler equations
-
T. Sonar and E. Suli (1998), 'A dual graph-norm refinement indicator for finite volume approximations of the Euler equations', Numer. Math. 78, 619-658.
-
(1998)
Numer. Math
, vol.78
, pp. 619-658
-
-
Sonar, T.1
Suli, E.2
-
118
-
-
0002237548
-
Dynamic adaptivity and residual control in unsteady compressible flow computation
-
T. Sonar, V. Hannemann and D. Hempel (1994), 'Dynamic adaptivity and residual control in unsteady compressible flow computation', Math. Comput. Modelling 20, 201-213.
-
(1994)
Math. Comput. Modelling
, vol.20
, pp. 201-213
-
-
Sonar, T.1
Hannemann, V.2
Hempel, D.3
-
119
-
-
0026291228
-
Semi-Lagrangian integration schemes and their application to environmental flows
-
A. Staniforth and J. Côté (1991), 'Semi-Lagrangian integration schemes and their application to environmental flows', Mon. Weather Rev. 119, 2206-2223.
-
(1991)
Mon. Weather Rev
, vol.119
, pp. 2206-2223
-
-
Staniforth, A.1
Côté, J.2
-
120
-
-
49049151571
-
Flux vector splitting of the inviscid gasdynamic equations with applications to finite difference methods
-
J. L. Steger and R. F. Warming (1981), 'Flux vector splitting of the inviscid gasdynamic equations with applications to finite difference methods', J. Comput. Phys. 40, 263-293.
-
(1981)
J. Comput. Phys
, vol.40
, pp. 263-293
-
-
Steger, J.L.1
Warming, R.F.2
-
121
-
-
0002800857
-
Finite element methods for hyperbolic problems: A posteriori error analysis and adaptivity
-
I. S. Duff and G. A. Watson, eds, Clarendon Press, Oxford, pp
-
E. Suli and P. Houston (1997), Finite element methods for hyperbolic problems: a posteriori error analysis and adaptivity, in The State of the Art in Numerical Analysis (I. S. Duff and G. A. Watson, eds), Clarendon Press, Oxford, pp. 441-471.
-
(1997)
The State of the Art in Numerical Analysis
, pp. 441-471
-
-
Suli, E.1
Houston, P.2
-
127
-
-
0019526988
-
The finite element method for laminar flow with chemical reaction
-
K. H. Winters, J. Rae, C. P. Jackson and K. A. Cliffe (1981), 'The finite element method for laminar flow with chemical reaction', Internat. J. Numer. Methods Engrg. 17, 239-253.
-
(1981)
Internat. J. Numer. Methods Engrg
, vol.17
, pp. 239-253
-
-
Winters, K.H.1
Rae, J.2
Jackson, C.P.3
Cliffe, K.A.4
-
128
-
-
48749139407
-
The numerical solution of two-dimensional fluid flow with strong shocks
-
P. Woodward and P. Colella (1984), 'The numerical solution of two-dimensional fluid flow with strong shocks', J. Comput. Phys. 54, 115-173.
-
(1984)
J. Comput. Phys
, vol.54
, pp. 115-173
-
-
Woodward, P.1
Colella, P.2
|