-
1
-
-
0000897959
-
Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
-
D.S. Balsara C.W. Shu Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy J. Comput. Phys. 160 2000 405-452
-
(2000)
J. Comput. Phys.
, vol.160
, pp. 405-452
-
-
Balsara, D.S.1
Shu, C.W.2
-
2
-
-
48349083249
-
A second-order Godunov-type scheme for compressible fluid dynamics
-
M. Ben-Artzi J. Falcovitz A second-order Godunov-type scheme for compressible fluid dynamics J. Comput. Phys. 55 1984 1-32
-
(1984)
J. Comput. Phys.
, vol.55
, pp. 1-32
-
-
Ben-Artzi, M.1
Falcovitz, J.2
-
3
-
-
0002267573
-
A finite-volume high order ENO scheme for two dimensional hyperbolic systems
-
J. Casper H. Atkins A finite-volume high order ENO scheme for two dimensional hyperbolic systems J. Comput. Phys. 106 1993 62-76
-
(1993)
J. Comput. Phys.
, vol.106
, pp. 62-76
-
-
Casper, J.1
Atkins, H.2
-
4
-
-
0000076512
-
Runge-Kutta discontinuous Galerkin methods for convection-dominated problems
-
B. Cockburn C.-W. Shu Runge-Kutta discontinuous Galerkin methods for convection-dominated problems J. Sci. Comput. 16 2001 173-261
-
(2001)
J. Sci. Comput.
, vol.16
, pp. 173-261
-
-
Cockburn, B.1
Shu, C.-W.2
-
5
-
-
0000935266
-
A finite difference method for the computation of discontinuous solutions of the equations of fluid dynamics
-
S.K. Godunov A finite difference method for the computation of discontinuous solutions of the equations of fluid dynamics Mat. Sbornik 47 1959 357-393
-
(1959)
Mat. Sbornik
, vol.47
, pp. 357-393
-
-
Godunov, S.K.1
-
7
-
-
0004117522
-
Resolution Numerique des Problemes Multidimensionnels de la Dinamique des Gaz
-
Moscow: Mir
-
S. Godunov A. Zabrodin M.Y. Ivanov A.N. Kraiko G.P. Prokopov Resolution Numerique des Problemes Multidimensionnels de la Dinamique des Gaz 1979 Mir Moscow 414 p
-
(1979)
, pp. 414
-
-
Godunov, S.1
Zabrodin, A.2
Ivanov, M.Y.3
Kraiko, A.N.4
Prokopov, G.P.5
-
8
-
-
0003140474
-
Weighted essentially non-oscillatory schemes on triangular meshes
-
C. Hu C.-W. Shu Weighted essentially non-oscillatory schemes on triangular meshes J. Comput. Phys. 150 1999 97-127
-
(1999)
J. Comput. Phys.
, vol.150
, pp. 97-127
-
-
Hu, C.1
Shu, C.-W.2
-
9
-
-
0000876320
-
On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
-
A. Harten P.D. Lax B. van Leer On upstream differencing and Godunov-type schemes for hyperbolic conservation laws SIAM Rev. 25 1 1983 35-61
-
(1983)
SIAM Rev.
, vol.25
, Issue.1
, pp. 35-61
-
-
Harten, A.1
Lax, P.D.2
van Leer, B.3
-
10
-
-
0030161771
-
Efficient implementation of weighted ENO schemes
-
G.S. Jiang C.W. Shu Efficient implementation of weighted ENO schemes J. Comput. Phys. 126 1996 202-212
-
(1996)
J. Comput. Phys.
, vol.126
, pp. 202-212
-
-
Jiang, G.S.1
Shu, C.W.2
-
11
-
-
15944407496
-
ADER schemes for the solution of conservation laws on adaptive triangulations
-
A. Iske, T. Randen (Eds.) The Springer Book Series Mathematics in Industry, to appear
-
M. K̈aser, A. Iske, ADER schemes for the solution of conservation laws on adaptive triangulations, in: A. Iske, T. Randen (Eds.), Mathematical Methods and Modeling in Hydrocarbon Exploration and Production, The Springer Book Series Mathematics in Industry, to appear, 2004
-
(2004)
Mathematical Methods and Modeling in Hydrocarbon Exploration and Production
-
-
K̈aser, M.1
Iske, A.2
-
12
-
-
0002898994
-
Application of the minimum-derivative principle in the construction of finite-difference schemes for numerical analysis of discontinuous solutions in gas dynamics
-
V.P. Kolgan Application of the minimum-derivative principle in the construction of finite-difference schemes for numerical analysis of discontinuous solutions in gas dynamics Uch. Zap. TsaGI 3 6 1972 68-77
-
(1972)
Uch. Zap. TsaGI
, vol.3
, Issue.6
, pp. 68-77
-
-
Kolgan, V.P.1
-
13
-
-
8744279475
-
Finite-difference schemes for computation of three dimensional solutions of gas dynamics and calculation of a flow over a body under an angle of attack
-
V.P. Kolgan Finite-difference schemes for computation of three dimensional solutions of gas dynamics and calculation of a flow over a body under an angle of attack Uch. Zap. TsaGI 6 2 1975 1-6
-
(1975)
Uch. Zap. TsaGI
, vol.6
, Issue.2
, pp. 1-6
-
-
Kolgan, V.P.1
-
14
-
-
15944418424
-
Increasing the order of approximation of Godunov's scheme using solution of the generalized Riemann problem
-
I.S. Men'shov Increasing the order of approximation of Godunov's scheme using solution of the generalized Riemann problem USSR J. Comput. Math. and Math. Phys. 30 5 1990 54-65
-
(1990)
USSR J. Comput. Math. and Math. Phys.
, vol.30
, Issue.5
, pp. 54-65
-
-
Men'shov, I.S.1
-
16
-
-
15944362054
-
Accuracy increase of the Godunov scheme for stationary supersonic Euler equations based on the solution of generalized Riemann problem
-
I.S. Men'shov Accuracy increase of the Godunov scheme for stationary supersonic Euler equations based on the solution of generalized Riemann problem USSR J. Comput. Math. and Math. Phys. 32 2 1992 257-263
-
(1992)
USSR J. Comput. Math. and Math. Phys.
, vol.32
, Issue.2
, pp. 257-263
-
-
Men'shov, I.S.1
-
17
-
-
0348207606
-
Finite difference WENO schemes with Lax-Wendroff type time discretization
-
J. Qiu C.-W. Shu Finite difference WENO schemes with Lax-Wendroff type time discretization SIAM J. Sci. Comput. 24 2003 2185-2198
-
(2003)
SIAM J. Sci. Comput.
, vol.24
, pp. 2185-2198
-
-
Qiu, J.1
Shu, C.-W.2
-
18
-
-
2942757053
-
Approximate Riemann solvers, parameter vectors, and difference schemes
-
P.L. Roe Approximate Riemann solvers, parameter vectors, and difference schemes J. Comput. Phys. 43 1981 357-372
-
(1981)
J. Comput. Phys.
, vol.43
, pp. 357-372
-
-
Roe, P.L.1
-
19
-
-
0001328401
-
Calculation of interaction of non-steady shock waves with obstacles
-
V.V. Rusanov Calculation of interaction of non-steady shock waves with obstacles USSR J. Comput. Math. and Phys. 1 1961 267-279
-
(1961)
USSR J. Comput. Math. and Phys.
, vol.1
, pp. 267-279
-
-
Rusanov, V.V.1
-
20
-
-
0042572998
-
ADER-2D: A high-order approach for linear hyperbolic systems in 2D
-
T. Schwartzkopff C.D. Munz E.F. Toro ADER-2D: A high-order approach for linear hyperbolic systems in 2D J. Sci. Comput. 17 2002 231-240
-
(2002)
J. Sci. Comput.
, vol.17
, pp. 231-240
-
-
Schwartzkopff, T.1
Munz, C.D.2
Toro, E.F.3
-
21
-
-
3242721112
-
Fast high order ADER schemes for linear hyperbolic equations
-
T. Schwartzkopff M. Dumbser C.D. Munz Fast high order ADER schemes for linear hyperbolic equations J. Comput. Phys. 197 2 2004 532-539
-
(2004)
J. Comput. Phys.
, vol.197
, Issue.2
, pp. 532-539
-
-
Schwartzkopff, T.1
Dumbser, M.2
Munz, C.D.3
-
22
-
-
0036151484
-
A technique for treating negative weights in WENO schemes
-
J. Shi C. Hu C.-W. Shu A technique for treating negative weights in WENO schemes J. Comput. Phys. 175 2002 108-127
-
(2002)
J. Comput. Phys.
, vol.175
, pp. 108-127
-
-
Shi, J.1
Hu, C.2
Shu, C.-W.3
-
23
-
-
0000564951
-
Total-variation-diminishing time discretizations
-
C.-W. Shu Total-variation-diminishing time discretizations SIAM J. Sci. Stat. Comp. 9 1988 1073-1084
-
(1988)
SIAM J. Sci. Stat. Comp.
, vol.9
, pp. 1073-1084
-
-
Shu, C.-W.1
-
24
-
-
0001118530
-
A new class of optimal high-order strong-stability-preserving time discretization methods
-
R.J. Spitery S.J. Ruuth A new class of optimal high-order strong-stability-preserving time discretization methods SIAM J. Numer. Anal. 40 2 2002 469-491
-
(2002)
SIAM J. Numer. Anal.
, vol.40
, Issue.2
, pp. 469-491
-
-
Spitery, R.J.1
Ruuth, S.J.2
-
25
-
-
0042572999
-
Arbitrarily accurate non-oscillatory schemes for a nonlinear conservation law
-
Y. Takakura E.F. Toro Arbitrarily accurate non-oscillatory schemes for a nonlinear conservation law CFD J. 11 1 2002 7-18
-
(2002)
CFD J.
, vol.11
, Issue.1
, pp. 7-18
-
-
Takakura, Y.1
Toro, E.F.2
-
26
-
-
0008392886
-
ADER: Arbitrary high order Godunov approach
-
V.A. Titarev E.F. Toro ADER: Arbitrary high order Godunov approach J. Sci. Comput. 17 2002 609-618
-
(2002)
J. Sci. Comput.
, vol.17
, pp. 609-618
-
-
Titarev, V.A.1
Toro, E.F.2
-
27
-
-
8744243530
-
High order ADER schemes for the scalar advection-reaction-diffusion equations
-
V.A. Titarev E.F. Toro High order ADER schemes for the scalar advection-reaction-diffusion equations CFD J. 12 1 2003 1-6
-
(2003)
CFD J.
, vol.12
, Issue.1
, pp. 1-6
-
-
Titarev, V.A.1
Toro, E.F.2
-
28
-
-
0000517237
-
A weighted average flux method for hyperbolic conservation laws
-
E.F. Toro A weighted average flux method for hyperbolic conservation laws Proc. Roy. Soc. Lond. 423 1989 401-418
-
(1989)
Proc. Roy. Soc. Lond.
, vol.423
, pp. 401-418
-
-
Toro, E.F.1
-
29
-
-
0003338927
-
Primitive conservative and adaptive schemes for hyperbolic conservation laws
-
E.F. Toro J.F. Clarke (Eds.), Kluwer Academic Publishers Dordrecht
-
E.F. Toro Primitive conservative and adaptive schemes for hyperbolic conservation laws in: E.F. Toro J.F. Clarke (Eds.), Numerical Methods for Wave Propagation 1998 Kluwer Academic Publishers Dordrecht 323-385
-
(1998)
Numerical Methods for Wave Propagation
, pp. 323-385
-
-
Toro, E.F.1
-
33
-
-
57249099681
-
Solution of the generalised Riemann problem for advection-reaction equations
-
E.F. Toro V.A. Titarev Solution of the generalised Riemann problem for advection-reaction equations Proc. Roy. Soc. Lond. 458 2018 2002 271-281
-
(2002)
Proc. Roy. Soc. Lond.
, vol.458
, Issue.2018
, pp. 271-281
-
-
Toro, E.F.1
Titarev, V.A.2
-
34
-
-
15944424786
-
TVD Fluxes for the high-order ADER schemes
-
Preprint NI03011-NPA. Isaac Newton Institute for Mathematical Sciences, University of Cambridge, UK J. Sci. Comput. to appear
-
E.F. Toro, V.A. Titarev, TVD Fluxes for the high-order ADER schemes, Preprint NI03011-NPA. Isaac Newton Institute for Mathematical Sciences, University of Cambridge, UK, 2003, 37 p., J. Sci. Comput. to appear
-
(2003)
, pp. 37
-
-
Toro, E.F.1
Titarev, V.A.2
-
35
-
-
8744299687
-
ADER schemes for scalar hyperbolic conservation laws in three space dimensions
-
E.F Toro V.A. Titarev ADER schemes for scalar hyperbolic conservation laws in three space dimensions J. Comput. Phys. 202 2005 196-215
-
(2005)
J. Comput. Phys.
, vol.202
, pp. 196-215
-
-
Toro, E.F.1
Titarev, V.A.2
-
36
-
-
0042573002
-
Multi-stage predictor-corrector fluxes for hyperbolic equations
-
Preprint NI03037-NPA. Isaac Newton Institute for Mathematical Sciences, University of Cambridge, UK
-
E.F. Toro, Multi-stage predictor-corrector fluxes for hyperbolic equations. Preprint NI03037-NPA. Isaac Newton Institute for Mathematical Sciences, University of Cambridge, UK, 2003
-
(2003)
-
-
Toro, E.F.1
-
37
-
-
0003122153
-
Restoration of the contact surface in the Harten-Lax-van Leer Riemann solver
-
E.F. Toro M. Spruce W. Speares Restoration of the contact surface in the Harten-Lax-van Leer Riemann solver J. Shock Waves 4 1994 25-34
-
(1994)
J. Shock Waves
, vol.4
, pp. 25-34
-
-
Toro, E.F.1
Spruce, M.2
Speares, W.3
-
38
-
-
48749139407
-
The numerical simulation of two-dimensional fluid flow with strong shocks
-
P. Woodward P. Colella The numerical simulation of two-dimensional fluid flow with strong shocks J. Comput. Phys. 54 1984 115-173
-
(1984)
J. Comput. Phys.
, vol.54
, pp. 115-173
-
-
Woodward, P.1
Colella, P.2
-
39
-
-
85035297429
-
Numerical viscosity and resolution of high-order weighted essentially nonoscillatory schemes for compressible flows with high Reynolds numbers
-
article number 046709
-
Y.-T. Zhang, J. Shi, C.-W. Shu, Y. Zhou, Numerical viscosity and resolution of high-order weighted essentially nonoscillatory schemes for compressible flows with high Reynolds numbers, Phys. Rev. E, 68, article number 046709 (2003) 1-16
-
(2003)
Phys. Rev. E
, vol.68
, pp. 1-16
-
-
Zhang, Y.-T.1
Shi, J.2
Shu, C.-W.3
Zhou, Y.4
-
40
-
-
2442433925
-
Towards the ultimate conservative difference scheme V: A second order sequel to Godunov- method
-
B. van Leer Towards the ultimate conservative difference scheme V: A second order sequel to Godunov- method J. Comput. Phys. 32 1979 101-136
-
(1979)
J. Comput. Phys.
, vol.32
, pp. 101-136
-
-
van Leer, B.1
|