-
1
-
-
0002677386
-
On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation
-
R. Abgrall (1994) On essentially non-oscillatory schemes on unstructured meshes: analysis and implementation. J. Comput. Phys. 144, 45–58.
-
(1994)
J. Comput. Phys.
, vol.144
, pp. 45-58
-
-
Abgrall, R.1
-
3
-
-
0003475441
-
Higher order solution of the Euler equations on unstructured grids using quadratic reconstruction. Technical Report no. 90-0013
-
T.J. Barth and P.O. Frederickson (1990) Higher order solution of the Euler equations on unstructured grids using quadratic reconstruction. Technical Report no. 90-0013, AIAA Paper.
-
(1990)
AIAA Paper
-
-
Barth, T.J.1
Frederickson, P.O.2
-
4
-
-
84983134434
-
Computational study of the effect of unstructured mesh quality on solution efficiency
-
Snowmass Village, Colorado
-
M. Batdorf, L.A. Freitag, and C.F. Ollivier-Gooch (1997) Computational study of the effect of unstructured mesh quality on solution efficiency. Proc. 13th AIAA Computational Fluid Dynamics Conference, Snowmass Village, Colorado, 1997.
-
(1997)
Proc. 13Th AIAA Computational Fluid Dynamics Conference
, pp. 1997
-
-
Batdorf, M.1
Freitag, L.A.2
Ollivier-Gooch, C.F.3
-
5
-
-
15544385301
-
Adaptive meshfree method of backward characteristics for nonlinear transport equations
-
M. Griebel and M.A. Schweitzer (eds.), Springer, Berlin
-
J. Behrens, A. Iske, and M. Käser (2002) Adaptive meshfree method of backward characteristics for nonlinear transport equations. Meshfree Methods for Partial Differential Equations, M. Griebel and M.A. Schweitzer (eds.), Springer, Berlin, 21–36.
-
(2002)
Meshfree Methods for Partial Differential Equations
, pp. 21-36
-
-
Behrens, J.1
Iske, A.2
Käser, M.3
-
6
-
-
13444252860
-
Effective node adaption for grid-free semi-Lagrangian advection. Discrete Modelling and Discrete Algorithms in Continuum Mechanics, T. Sonar and I. Thomas (eds.), Logos, Berlin
-
J. Behrens, A. Iske, and S. Pöhn (2001) Effective node adaption for grid-free semi-Lagrangian advection. Discrete Modelling and Discrete Algorithms in Continuum Mechanics, T. Sonar and I. Thomas (eds.), Logos, Berlin, 110– 119.
-
(2001)
-
-
Behrens, J.1
Iske, A.2
Pöhn, S.3
-
7
-
-
0000626041
-
Mechanism of fluid displacement in sands
-
J.M. Buckley and M.C. Leverett (1942) Mechanism of fluid displacement in sands. Trans. AIME 146, 107–116.
-
(1942)
Trans. AIME
, vol.146
, pp. 107-116
-
-
Buckley, J.M.1
Leverett, M.C.2
-
8
-
-
0003979117
-
The development of discontinuous galerkin methods
-
B. Cockburn, G. Karniadakis, and C.-W. Shu (eds.), Springer, Berlin
-
B. Cockburn, G. Karniadakis, and C.-W. Shu (2000) The development of discontinuous galerkin methods. Discontinuous Galerkin Methods: Theory, Computation and Applications, B. Cockburn, G. Karniadakis, and C.-W. Shu (eds.), Springer, Berlin, 3–50.
-
(2000)
Discontinuous Galerkin Methods: Theory, Computation and Applications
, pp. 3-50
-
-
Cockburn, B.1
Karniadakis, G.2
Shu, C.-W.3
-
9
-
-
84985385639
-
Gaussian quadrature formulas for triangles
-
G.R. Cowper (1973) Gaussian quadrature formulas for triangles. Int. J. Numer. Meth. Eng. 7, 405–408.
-
(1973)
Int. J. Numer. Meth. Eng.
, vol.7
, pp. 405-408
-
-
Cowper, G.R.1
-
11
-
-
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
-
12
-
-
0000935266
-
A finite difference method for the computation of discontinuous solutions of the equations of fluid dynamics
-
S.K. Godunov (1959) A finite difference method for the 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
-
13
-
-
21944441482
-
Detection of discontinuities in scattered data approximation
-
T. Gutzmer and A. Iske (1997) Detection of discontinuities in scattered data approximation. Numerical Algorithms 16(2), 155–170.
-
(1997)
Numerical Algorithms
, vol.16
, Issue.2
, pp. 155-170
-
-
Gutzmer, T.1
Iske, A.2
-
14
-
-
0003747018
-
Multi-dimensional eno schemes for general geometries. Technical Report 91-76
-
A. Harten and S. Chakravarthy (1991) Multi-dimensional eno schemes for general geometries. Technical Report 91-76, ICASE.
-
(1991)
ICASE
-
-
Harten, A.1
Chakravarthy, S.2
-
15
-
-
33749725182
-
Uniformly high order essentially non-oscillatory schemes, iii
-
A. Harten, B. Engquist, S. Osher, and S. Chakravarthy (1987) Uniformly high order 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.4
-
16
-
-
0003140474
-
Weighted essentially non-oscillatory schemes on triangular meshes
-
C. Hu and C.W. Shu (1999) Weighted essentially non-oscillatory schemes on triangular meshes. J. Comput. Phys. 150, 97–127.
-
(1999)
J. Comput. Phys.
, vol.150
, pp. 97-127
-
-
Hu, C.1
Shu, C.W.2
-
17
-
-
0141870196
-
-
A. Iske, E. Quak, and M.S. Floater (eds.), Springer, Heidelberg
-
A. Iske (2002) Scattered data modelling using radial basis functions. Tutorials on Multiresolution in Geometric Modelling, A. Iske, E. Quak, and M.S. Floater (eds.), Springer, Heidelberg, 205–242.
-
(2002)
Scattered Data Modelling Using Radial Basis Functions. Tutorials on Multiresolution in Geometric Modelling
, pp. 205-242
-
-
Iske, A.1
-
18
-
-
2342584222
-
Conservative semi-Lagrangian advection on adaptive unstructured meshes
-
To appear in
-
A. Iske and M. Käser (2004) Conservative semi-Lagrangian advection on adaptive unstructured meshes. To appear in Numer. Meth. Part. Diff. Eq.
-
(2004)
Numer. Meth. Part. Diff. Eq.
-
-
Iske, A.1
Käser, M.2
-
19
-
-
0030161771
-
Efficient implementation of weighted ENO schemes
-
G.S. Jiang and C.W. Shu (1996) Efficient implementation of weighted ENO schemes. J. Comput. Phys. 126, 202–228.
-
(1996)
J. Comput. Phys.
, vol.126
, pp. 202-228
-
-
Jiang, G.S.1
Shu, C.W.2
-
20
-
-
0035602720
-
A comparative study of explicit differential operators on arbitrary grids
-
M. Käser, H. Igel, M. Sambridge, and J. Brown (2001) A comparative study of explicit differential operators on arbitrary grids. J. Comput. Acoustics 9, 1111–1125.
-
(2001)
J. Comput. Acoustics
, vol.9
, pp. 1111-1125
-
-
Käser, M.1
Igel, H.2
Sambridge, M.3
Brown, J.4
-
25
-
-
0000592595
-
Weighted essentially non-oscillatory schemes
-
X. 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.1
Osher, S.2
Chan, T.3
-
28
-
-
0031146386
-
Quasi-ENO schemes for unstructured meshes based on unlimited data-dependent least-squares reconstruction
-
C.F. Ollivier-Gooch (1997) Quasi-ENO schemes for unstructured meshes based on unlimited data-dependent least-squares reconstruction. J. Comput. Phys. 133, 6–17.
-
(1997)
J. Comput. Phys.
, vol.133
, pp. 6-17
-
-
Ollivier-Gooch, C.F.1
-
29
-
-
0013150498
-
Two barriers on strong-stability-preserving time discretization methods
-
T.J. Ruuth and R.J. Spiteri (2002) Two barriers on strong-stability-preserving time discretization methods. J. Sci. Comput. 17, 211–220.
-
(2002)
J. Sci. Comput.
, vol.17
, pp. 211-220
-
-
Ruuth, T.J.1
Spiteri, R.J.2
-
30
-
-
0042572998
-
ADER: A high-order approach for linear hyperbolic systems in 2D
-
T. Schwartzkopff, C.D. Munz, and E.F. Toro (2002) ADER: A high-order approach for linear hyperbolic systems in 2D. J. Sci. Comput. 17, 231–240.
-
(2002)
J. Sci. Comput.
, vol.17
, pp. 231-240
-
-
Schwartzkopff, T.1
Munz, C.D.2
Toro, E.F.3
-
31
-
-
1942543833
-
The ADER approach in 2D. Discrete Modelling and Discrete Algorithms on Continuum Mechanics, T
-
Thomas (eds.), Logos, Berlin
-
T. Schwartzkopff, C.D. Munz, E.F. Toro, and R.C. Millington (2001) The ADER approach in 2D. Discrete Modelling and Discrete Algorithms on Continuum Mechanics, T. Sonar and I. Thomas (eds.), Logos, Berlin, 207–216.
-
(2001)
Sonar And
, vol.1
, pp. 207-216
-
-
Schwartzkopff, T.1
Munz, C.D.2
Toro, E.F.3
Millington, R.C.4
-
32
-
-
0000564951
-
Total-variation-diminishing time discretizations
-
C.W. Shu (1988) Total-variation-diminishing time discretizations. SIAM J. Sci. Stat. Comput. 9, 1073–1084.
-
(1988)
SIAM J. Sci. Stat. Comput.
, vol.9
, pp. 1073-1084
-
-
Shu, C.W.1
-
33
-
-
45449125925
-
Efficient implementation of essentially non-oscillatory shock-capturing schemes
-
C.W. 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.W.1
Osher, S.2
-
34
-
-
0030738142
-
On the construction of essentially non-oscillatory finite volume approximations to hyperbolic conservation laws on general triangulations: Polynomial recovery, accuracy and stencil selection
-
T. Sonar (1997) On the construction of essentially non-oscillatory finite volume approximations to hyperbolic conservation laws on general triangulations: polynomial recovery, accuracy and stencil selection. Comput. Methods Appl. Mech. Engrg. 140, 157–181.
-
(1997)
Comput. Methods Appl. Mech. Engrg.
, vol.140
, pp. 157-181
-
-
Sonar, T.1
-
35
-
-
0042572999
-
Arbitrarily accurate non-oscillatory schemes for a nonlinear conservation law
-
Y. Takakura and E.F. Toro (2002) Arbitrarily accurate non-oscillatory schemes for a nonlinear conservation law. Computational Fluid Dynamics Journal 11(1), 7–18.
-
(2002)
Computational Fluid Dynamics Journal
, vol.11
, Issue.1
, pp. 7-18
-
-
Takakura, Y.1
Toro, E.F.2
-
36
-
-
0008392886
-
ADER: Arbitrary high order Godunov approach
-
V.A. Titarev and E.F. Toro (2002) ADER: Arbitrary high order Godunov approach. J. Sci. Comput. 17, 609–618.
-
(2002)
J. Sci. Comput.
, vol.17
, pp. 609-618
-
-
Titarev, V.A.1
Toro, E.F.2
-
38
-
-
0042072022
-
-
Toro (ed.), Kluwer Academic Plenum Publishers
-
E.F. Toro, R.C. Millington, and L.A.M. Nejad (2001) Towards very high order Godunov schemes. Godunov Methods; Theory and Applications, E.F. Toro (ed.), Kluwer Academic Plenum Publishers, 907–940.
-
(2001)
Towards Very High Order Godunov Schemes. Godunov Methods; Theory and Applications, E.F
, pp. 907-940
-
-
Toro, E.F.1
Millington, R.C.2
Nejad, L.A.M.3
-
39
-
-
85133284717
-
-
Wales, September
-
E.F. Toro and V.A. Titarev (2001) Very high order Godunov-type schemes for nonlinear scalar conservation laws. European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Computational Fluid Dynamics Conference, Swansea, Wales, September 2001.
-
(2001)
Very High Order Godunov-Type Schemes for Nonlinear Scalar Conservation Laws. European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Computational Fluid Dynamics Conference, Swansea
, pp. 2001
-
-
Toro, E.F.1
Titarev, V.A.2
-
41
-
-
57249099681
-
Solution of the generalized Riemann problem for advection-reaction equations
-
E.F. Toro and V.A. Titarev (2002) Solution of the generalized Riemann problem for advection-reaction equations. Proc. R. Soc. Lond. A, 271–281.
-
(2002)
Proc. R. Soc. Lond. A
, pp. 271-281
-
-
Toro, E.F.1
Titarev, V.A.2
|