-
1
-
-
0033293882
-
A posteriori finite element error estimation for diffusion problems
-
Adjerid, S., Belguendouz, B., Flaherty, J.E.: A posteriori finite element error estimation for diffusion problems. SIAM J. Sci. Comput. 21, 728-746 (1999)
-
(1999)
SIAM J. Sci. Comput.
, vol.21
, pp. 728-746
-
-
Adjerid, S.1
Belguendouz, B.2
Flaherty, J.E.3
-
2
-
-
0032363607
-
Implicit-explicit multistep finite element methods for nonlinear parabolic problems
-
Akrivis, G., Crouzeix, M., Makridakis, C.: Implicit-explicit multistep finite element methods for nonlinear parabolic problems. Math. Comput. 67, 457-477 (1998)
-
(1998)
Math. Comput.
, vol.67
, pp. 457-477
-
-
Akrivis, G.1
Crouzeix, M.2
Makridakis, C.3
-
3
-
-
0001737039
-
Implicit-explicit methods for time-dependent partial differential equations
-
Ascher, U.M., Ruuth, S.J., Wetton, B.T.R.: Implicit-explicit methods for time-dependent partial differential equations. SIAM J. Numer. Anal. 32, 797-823 (1995)
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, pp. 797-823
-
-
Ascher, U.M.1
Ruuth, S.J.2
Wetton, B.T.R.3
-
4
-
-
0035630248
-
On one approach to a posteriori error estimates for evolution problems solved by the method of lines
-
Babuška, I., Feistauer, M., Šolin, P.: On one approach to a posteriori error estimates for evolution problems solved by the method of lines. Numer. Math. 89, 225-256 (2001)
-
(2001)
Numer. Math.
, vol.89
, pp. 225-256
-
-
Babuška, I.1
Feistauer, M.2
Šolin, P.3
-
5
-
-
0035827103
-
A posteriori error estimation for the semidiscrete finite element of parabolic differential equations
-
Babuška, I., Ohnimus, S.: A posteriori error estimation for the semidiscrete finite element of parabolic differential equations. Comput. Methods Appl. Mech. Eng. 190, 4691-4712 (2001)
-
(2001)
Comput. Methods Appl. Mech. Eng.
, vol.190
, pp. 4691-4712
-
-
Babuška, I.1
Ohnimus, S.2
-
6
-
-
0002564037
-
The efficient implementation of local mesh refinement algorithms
-
SIAM Philadelphia
-
Bank, R.E.: The efficient implementation of local mesh refinement algorithms. In: Babuška, I., Chandra, J., Flaherty, J.E. (eds.) Adaptive Computational Methods for Partial Differential Equations, pp. 74-81. SIAM, Philadelphia (1983)
-
(1983)
Adaptive Computational Methods for Partial Differential Equations
, pp. 74-81
-
-
Bank, R.E.1
Babuška, I.2
Chandra, J.3
Flaherty, J.E.4
-
8
-
-
0000286812
-
Using Krylov methods in the solution of large-scale differential- algebraic systems
-
Brown, P.N., Hindmarsh, A.C., Petzold, L.R.: Using Krylov methods in the solution of large-scale differential-algebraic systems. SIAM J. Sci. Comput. 15, 1467-1488 (1994)
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, pp. 1467-1488
-
-
Brown, P.N.1
Hindmarsh, A.C.2
Petzold, L.R.3
-
9
-
-
0000152484
-
VODE, a variable-coefficient ODE solver
-
Brown, P.N., Byrne, G.D., Hindmarsh, A.C.: VODE, a variable-coefficient ODE solver. SIAM J. Sci. Statist. Comput. 10, 1038-1051 (1989)
-
(1989)
SIAM J. Sci. Statist. Comput.
, vol.10
, pp. 1038-1051
-
-
Brown, P.N.1
Byrne, G.D.2
Hindmarsh, A.C.3
-
11
-
-
0016443950
-
Comparing numerical methods for stiff systems of ODEs
-
Enright, W.H., Hull, T.E., Lindberg, B.: Comparing numerical methods for stiff systems of ODEs. BIT 15, 10-48 (1975)
-
(1975)
BIT
, vol.15
, pp. 10-48
-
-
Enright, W.H.1
Hull, T.E.2
Lindberg, B.3
-
12
-
-
0000871598
-
Integrated space-time adaptive hp-refinement methods for parabolic systems
-
Flaherty, J.E., Moore, P.K.: Integrated space-time adaptive hp-refinement methods for parabolic systems. Appl. Numer. Math. 16, 317-341 (1995)
-
(1995)
Appl. Numer. Math.
, vol.16
, pp. 317-341
-
-
Flaherty, J.E.1
Moore, P.K.2
-
13
-
-
0002176065
-
Experiments with an adaptive h-, p-, and r-refinement finite element method for parabolic systems
-
World Scientific Singapore
-
Flaherty, J.E., Wang, Y.: Experiments with an adaptive h-, p-, and r-refinement finite element method for parabolic systems. In: Byrne, G.D., Schiesser, W.E. (eds.) Recent Developments in Numerical Methods and Software for ODEs/DAEs/PDEs, pp. 55-80. World Scientific, Singapore (1992)
-
(1992)
Recent Developments in Numerical Methods and Software for ODEs/DAEs/PDEs
, pp. 55-80
-
-
Flaherty, J.E.1
Wang, Y.2
Byrne, G.D.3
Schiesser, W.E.4
-
14
-
-
21344439543
-
Element-wise a posteriori estimates based on hierarchical bases for non-linear parabolic problems
-
de Frutos, J., Novo, J.: Element-wise a posteriori estimates based on hierarchical bases for non-linear parabolic problems. Int. J. Numer. Methods Eng. 63, 1146-1173 (2005)
-
(2005)
Int. J. Numer. Methods Eng.
, vol.63
, pp. 1146-1173
-
-
De Frutos, J.1
Novo, J.2
-
16
-
-
0001811061
-
ODEPACK, a systemized collection of ODE solvers
-
IMACS/North Holland Amsterdam
-
Hindmarsh, A.C.: ODEPACK, a systemized collection of ODE solvers. In: Stepleman, R.S., et al. (eds.) Scientific Computing, pp. 55-64. IMACS/North Holland, Amsterdam (1983)
-
(1983)
Scientific Computing
, pp. 55-64
-
-
Hindmarsh, A.C.1
Stepleman, R.S.2
-
18
-
-
0031643387
-
Adaptive FEM for reaction-diffusion equations
-
Lang, J.: Adaptive FEM for reaction-diffusion equations. Appl. Numer. Math. 26, 105-116 (1998)
-
(1998)
Appl. Numer. Math.
, vol.26
, pp. 105-116
-
-
Lang, J.1
-
19
-
-
0000309178
-
Balancing space and time errors in the method of lines for parabolic equations
-
Lawson, J., Berzins, M., Dew, P.M.: Balancing space and time errors in the method of lines for parabolic equations. SIAM J. Sci. Statist. Comput. 12, 573-594 (1991)
-
(1991)
SIAM J. Sci. Statist. Comput.
, vol.12
, pp. 573-594
-
-
Lawson, J.1
Berzins, M.2
Dew, P.M.3
-
20
-
-
1342297216
-
Elliptic reconstruction and a posteriori error estimates for parabolic problems
-
Makridakis, C., Nochetto, R.H.: Elliptic reconstruction and a posteriori error estimates for parabolic problems. SIAM J. Numer. Anal. 41, 1585-1594 (2003)
-
(2003)
SIAM J. Numer. Anal.
, vol.41
, pp. 1585-1594
-
-
Makridakis, C.1
Nochetto, R.H.2
-
21
-
-
34248512617
-
Effects of basis selection and h-refinement on error estimator reliability and solution efficiency for higher-order methods in three space dimensions
-
Moore, P.K.: Effects of basis selection and h-refinement on error estimator reliability and solution efficiency for higher-order methods in three space dimensions. Int. J. Numer. Anal. Mod. 3, 21-51 (2006)
-
(2006)
Int. J. Numer. Anal. Mod.
, vol.3
, pp. 21-51
-
-
Moore, P.K.1
-
22
-
-
0141514387
-
Implicit interpolation error-based error estimation for reaction-diffusion equations in two space dimensions
-
Moore, P.K.: Implicit interpolation error-based error estimation for reaction-diffusion equations in two space dimensions. Comput. Methods Appl. Mech. Eng. 192, 4379-4401 (2003)
-
(2003)
Comput. Methods Appl. Mech. Eng.
, vol.192
, pp. 4379-4401
-
-
Moore, P.K.1
-
23
-
-
0038792196
-
An incomplete assembly with thresholding algorithm for systems of reaction-diffusion equations in three dimensions: IAT for reaction-diffusion systems
-
Moore, P.K.: An incomplete assembly with thresholding algorithm for systems of reaction-diffusion equations in three dimensions: IAT for reaction-diffusion systems. J. Comput. Phys. 189, 130-158 (2003)
-
(2003)
J. Comput. Phys.
, vol.189
, pp. 130-158
-
-
Moore, P.K.1
-
24
-
-
0141575485
-
Applications of Lobatto polynomials to an adaptive finite element method: A posteriori error estimates for hp-adaptivity and grid-to-grid interpolation
-
Moore, P.K.: Applications of Lobatto polynomials to an adaptive finite element method: a posteriori error estimates for hp-adaptivity and grid-to-grid interpolation. Numer. Math. 94, 367-401 (2003)
-
(2003)
Numer. Math.
, vol.94
, pp. 367-401
-
-
Moore, P.K.1
-
25
-
-
0033294920
-
An adaptive finite element method for parabolic differential systems: Some algorithmic considerations in solving in three space dimensions
-
Moore, P.K.: An adaptive finite element method for parabolic differential systems: some algorithmic considerations in solving in three space dimensions. SIAM J. Sci. Comput. 21, 1567-1586 (2000)
-
(2000)
SIAM J. Sci. Comput.
, vol.21
, pp. 1567-1586
-
-
Moore, P.K.1
-
26
-
-
0030081174
-
A comparison of preconditioners in the solution of parabolic systems in three space dimensions using DASPK and a higher order finite element method
-
Moore, P.K., Dillon, R.H.: A comparison of preconditioners in the solution of parabolic systems in three space dimensions using DASPK and a higher order finite element method. Appl. Numer. Math. 20, 117-128 (1996)
-
(1996)
Appl. Numer. Math.
, vol.20
, pp. 117-128
-
-
Moore, P.K.1
Dillon, R.H.2
-
27
-
-
0000646363
-
Comparison of adaptive methods for one-dimensional parabolic systems
-
Moore, P.K.: Comparison of adaptive methods for one-dimensional parabolic systems. Appl. Numer. Math. 16, 471-488 (1995)
-
(1995)
Appl. Numer. Math.
, vol.16
, pp. 471-488
-
-
Moore, P.K.1
-
28
-
-
0001248878
-
Implicit-explicit methods for reaction-diffusion problems in pattern formation
-
Ruuth, S.: Implicit-explicit methods for reaction-diffusion problems in pattern formation. J. Math. Biol. 34, 148-176 (1995)
-
(1995)
J. Math. Biol.
, vol.34
, pp. 148-176
-
-
Ruuth, S.1
-
29
-
-
84985408358
-
ILUT: A dual threshold incomplete LU factorization
-
Saad, Y.: ILUT: a dual threshold incomplete LU factorization. Numer. Linear Algebra Appl. 1, 387-402 (1994)
-
(1994)
Numer. Linear Algebra Appl.
, vol.1
, pp. 387-402
-
-
Saad, Y.1
-
30
-
-
0000048673
-
GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
-
Saad, Y., Schultz, M.H.: GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7, 856-869 (1986)
-
(1986)
SIAM J. Sci. Stat. Comput.
, vol.7
, pp. 856-869
-
-
Saad, Y.1
Schultz, M.H.2
-
33
-
-
4244184543
-
Numerical engineering: Experiences in designing PDE software with selfadaptive variable stepsize/variable order difference methods
-
Springer Berlin
-
Schönauer, W., Schnepf, E., Raith, K.: Numerical engineering: experiences in designing PDE software with selfadaptive variable stepsize/variable order difference methods. In: Böhmer, K., Stetter, H.J. (eds.) Defect Correction Methods, Theory and Applications, Computing, Supplementum Nr. 5, pp. 227-242. Springer, Berlin (1984)
-
(1984)
Defect Correction Methods, Theory and Applications, Computing, Supplementum Nr. 5
, pp. 227-242
-
-
Schönauer, W.1
Schnepf, E.2
Raith, K.3
Böhmer, K.4
Stetter, H.J.5
-
35
-
-
2442718057
-
A high-order global spatially adaptive collocation method for 1-D parabolic PDEs
-
Wang, R., Keast, P., Muir, P.: A high-order global spatially adaptive collocation method for 1-D parabolic PDEs. Appl. Numer. Math. 50, 239-250 (2004)
-
(2004)
Appl. Numer. Math.
, vol.50
, pp. 239-250
-
-
Wang, R.1
Keast, P.2
Muir, P.3
-
36
-
-
0008441150
-
-
Technical Report 213, Department of Computer Science, Yale University, New Haven
-
Weiser, A.: Local-mesh, local-order, adaptive finite element methods with a posteriori error estimators for elliptic partial differential equations. Technical Report 213, Department of Computer Science, Yale University, New Haven (1981)
-
(1981)
Local-mesh, Local-order, Adaptive Finite Element Methods with A Posteriori Error Estimators for Elliptic Partial Differential Equations
-
-
Weiser, A.1
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