-
1
-
-
0031570221
-
Asymptotically stable fourth-order accurate schemes for the diffusion equation on complex shapes
-
S. Abarbanel, A. Ditkowski, Asymptotically stable fourth-order accurate schemes for the diffusion equation on complex shapes, J. Comput. Phys. 133 (1997) 279-288.
-
(1997)
J. Comput. Phys.
, vol.133
, pp. 279-288
-
-
Abarbanel, S.1
Ditkowski, A.2
-
2
-
-
0000644227
-
Polynomial collocation using a domain decomposition solution to parabolic PDE's via the penalty method and explicit/implicit time marching
-
K. Black, Polynomial collocation using a domain decomposition solution to parabolic PDE's via the penalty method and explicit/implicit time marching, J. Sci. Comput. 7 (1992) 313-338.
-
(1992)
J. Sci. Comput.
, vol.7
, pp. 313-338
-
-
Black, K.1
-
3
-
-
0001473098
-
Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
-
M.H. Carpenter, S. Abarbanel, D. Gottlieb, Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes, J. Comput. Phys. 111 (1994) 220-236.
-
(1994)
J. Comput. Phys.
, vol.111
, pp. 220-236
-
-
Carpenter, M.H.1
Abarbanel, S.2
Gottlieb, D.3
-
5
-
-
0000926967
-
A stable and conservative interface treatment of arbitrary spatial accuracy
-
M.H. Carpenter, J. Nordström, D. Gottlieb, A stable and conservative interface treatment of arbitrary spatial accuracy, J. Comput. Phys. 148 (1999) 341-365.
-
(1999)
J. Comput. Phys.
, vol.148
, pp. 341-365
-
-
Carpenter, M.H.1
Nordström, J.2
Gottlieb, D.3
-
6
-
-
84966261380
-
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: The multidimensional case
-
B. Cockburn, S. Hou, C.W. Shu, TVB Runge-Kutta local projection discontinuous Galerkin finite element methodfor conservation laws IV: The multidimensional case, Math. Comp. 54 (1990) 545-581.
-
(1990)
Math. Comp.
, vol.54
, pp. 545-581
-
-
Cockburn, B.1
Hou, S.2
Shu, C.W.3
-
7
-
-
0042968612
-
Integration preconditioners for differential operators in spectral τ-methods
-
ICOSAHOM'95, Houston, USA
-
E.A. Coutsias, T. Hagstrom, J.S. Hesthaven, D. Torres, Integration preconditioners for differential operators in spectral τ-methods, in: Proc. of International Conference on Spectral and High Order Methods, ICOSAHOM'95, Houston, USA, 1995, pp. 21-38.
-
(1995)
Proc. of International Conference on Spectral and High Order Methods
, pp. 21-38
-
-
Coutsias, E.A.1
Hagstrom, T.2
Hesthaven, J.S.3
Torres, D.4
-
8
-
-
0030366352
-
On the Chebyshev penalty method for parabolic and hyperbolic equations
-
2AN 30 (1996) 907-920.
-
(1996)
2AN
, vol.30
, pp. 907-920
-
-
Dettori, L.1
Yang, B.2
-
9
-
-
0028750042
-
The Chebyshev-Legendre method: Implementing Legendre methods on Chebyshev points
-
W.S. Don, D. Gottlieb, The Chebyshev-Legendre method: Implementing Legendre methods on Chebyshev points, SIAM J. Numer. Anal. 31 (1994) 1519-1534.
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, pp. 1519-1534
-
-
Don, W.S.1
Gottlieb, D.2
-
10
-
-
84985372463
-
A multidomain spectral approximation of elliptic equations
-
D. Funaro, A multidomain spectral approximation of elliptic equations, Numer. Methods Partial Differential Equations 2 (1986) 187-205.
-
(1986)
Numer. Methods Partial Differential Equations
, vol.2
, pp. 187-205
-
-
Funaro, D.1
-
11
-
-
0000937167
-
Domain decomposition methods for pseudospectral approximations. Part I. Second order equations in one dimension
-
D. Funaro, Domain decomposition methods for pseudospectral approximations. Part I. Second order equations in one dimension, Numer. Math. 52 (1988) 329-344.
-
(1988)
Numer. Math.
, vol.52
, pp. 329-344
-
-
Funaro, D.1
-
12
-
-
84968494170
-
A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations
-
D. Funaro, D. Gottlieb, A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations, Math. Comp. 51 (1988) 599-613.
-
(1988)
Math. Comp.
, vol.51
, pp. 599-613
-
-
Funaro, D.1
Gottlieb, D.2
-
13
-
-
84966255383
-
Convergence results for pseudospectral approximations of hyperbolic systems by a penalty-type boundary treatment
-
D. Funaro, D. Gottlieb, Convergence results for pseudospectral approximations of hyperbolic systems by a penalty-type boundary treatment, Math. Comp. 57 (1991) 585-596.
-
(1991)
Math. Comp.
, vol.57
, pp. 585-596
-
-
Funaro, D.1
Gottlieb, D.2
-
14
-
-
85031612761
-
A stable spectral multi-domain method for the unsteady, compressible Navier-Stokes equations
-
Bergen, Norway
-
J.S. Hesthaven, A stable spectral multi-domain method for the unsteady, compressible Navier-Stokes equations, in: Proc. of The 9th International Conference on Domain Decomposition, Bergen, Norway, 1996, pp. 121-129.
-
(1996)
Proc. of the 9th International Conference on Domain Decomposition
, pp. 121-129
-
-
Hesthaven, J.S.1
-
15
-
-
0031129195
-
A stable penalty method for the compressible Navier-Stokes equations. II. One-dimensional domain decomposition schemes
-
J.S. Hesthaven, A stable penalty method for the compressible Navier-Stokes equations. II. One-dimensional domain decomposition schemes, SIAM J. Sci. Comput. 18 (1997) 658-685.
-
(1997)
SIAM J. Sci. Comput.
, vol.18
, pp. 658-685
-
-
Hesthaven, J.S.1
-
16
-
-
0000185847
-
From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex
-
J.S. Hesthaven, From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex, SIAM J. Numer. Anal. 35 (1998) 655-676.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 655-676
-
-
Hesthaven, J.S.1
-
17
-
-
0000776389
-
Integration preconditioning of pseudospectral operators. I. Basic linear operators
-
J.S. Hesthaven, Integration preconditioning of pseudospectral operators. I. Basic linear operators, SIAM J. Numer. Anal. 35 (1998) 1571-1593.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 1571-1593
-
-
Hesthaven, J.S.1
-
18
-
-
0032131341
-
A stable penalty method for the compressible Navier-Stokes equations. III. Multi dimensional domain decomposition schemes
-
J.S. Hesthaven, A stable penalty method for the compressible Navier-Stokes equations. III. Multi dimensional domain decomposition schemes, SIAM J. Sci. Comput. 20 (1999) 62-93.
-
(1999)
SIAM J. Sci. Comput.
, vol.20
, pp. 62-93
-
-
Hesthaven, J.S.1
-
19
-
-
0001241567
-
A stable penalty method for the compressible Navier-Stokes equations. I. Open boundary conditions
-
J.S. Hesthaven, D. Gottlieb, A stable penalty method for the compressible Navier-Stokes equations. I. Open boundary conditions, SIAM J. Sci. Comput. 17 (1996) 579-612.
-
(1996)
SIAM J. Sci. Comput.
, vol.17
, pp. 579-612
-
-
Hesthaven, J.S.1
Gottlieb, D.2
-
20
-
-
0032681315
-
Stable spectral methods for conservation laws on triangles with unstructured grids
-
J.S. Hesthaven, D. Gottlieb, Stable spectral methods for conservation laws on triangles with unstructured grids, Comput. Methods Appl. Mech. Engrg. 175 (1999) 361-381.
-
(1999)
Comput. Methods Appl. Mech. Engrg.
, vol.175
, pp. 361-381
-
-
Hesthaven, J.S.1
Gottlieb, D.2
-
21
-
-
0039560115
-
Numerical studies of localized wave fields governed by the Raman-extended derivative nonlinear Schrödinger equation
-
J.S. Hesthaven, J. Juul Rasmussen, L. Bergé, J. Wyller, Numerical studies of localized wave fields governed by the Raman-extended derivative nonlinear Schrödinger equation, J. Phys. A: Math. Gen. 30 (1997) 8207-8224.
-
(1997)
J. Phys. A: Math. Gen.
, vol.30
, pp. 8207-8224
-
-
Hesthaven, J.S.1
Rasmussen, J.J.2
Bergé, L.3
Wyller, J.4
-
22
-
-
0034503732
-
Stable spectral methods on tetrahedral elements
-
to appear
-
J.S. Hesthaven, C.H. Teng, Stable spectral methods on tetrahedral elements, SIAM J. Sci. Comput. (2000) to appear.
-
(2000)
SIAM J. Sci. Comput.
-
-
Hesthaven, J.S.1
Teng, C.H.2
-
23
-
-
0018329975
-
Finite element analysis of incompressible viscous flows by the penalty function formulation
-
T.J.R. Hughes, W.T. Liu, A. Brooks, Finite element analysis of incompressible viscous flows by the penalty function formulation, J. Comput. Phys. 30 (1979) pp. 1-60.
-
(1979)
J. Comput. Phys.
, vol.30
, pp. 1-60
-
-
Hughes, T.J.R.1
Liu, W.T.2
Brooks, A.3
-
26
-
-
0001257477
-
Multidomain spectral solution of compressible viscous flows
-
D. Kopriva, Multidomain spectral solution of compressible viscous flows, J. Comput. Phys. 115 (1994) 184-199.
-
(1994)
J. Comput. Phys.
, vol.115
, pp. 184-199
-
-
Kopriva, D.1
-
27
-
-
84968507702
-
Summation by parts, projections and stability. I
-
P. Olsson, Summation by parts, projections and stability. I, Math. Comp. 64 (1995) 1035-1065.
-
(1995)
Math. Comp.
, vol.64
, pp. 1035-1065
-
-
Olsson, P.1
-
29
-
-
0002704911
-
A penalty method for the vorticity-velocity formulation
-
J. Tjujillo, G.E. Karniadakis, A penalty method for the vorticity-velocity formulation, J. Comput. Phys. 149 (1999) 32-58.
-
(1999)
J. Comput. Phys.
, vol.149
, pp. 32-58
-
-
Tjujillo, J.1
Karniadakis, G.E.2
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