-
1
-
-
2342561082
-
A preconditioned conjugate gradient method for nonselfadjoint or indefinite orthogonal spline collocation problems
-
R. AITBAYEV AND B. BIALECKI, A preconditioned conjugate gradient method for nonselfadjoint or indefinite orthogonal spline collocation problems, SIAM J. Numer. Anal., 41 (2003), pp. 589-604.
-
(2003)
SIAM J. Numer. Anal.
, vol.41
, pp. 589-604
-
-
Aitbayev, R.1
Bialecki, B.2
-
2
-
-
0012706887
-
On spline basis selection for solving differential equations
-
U. ASCHER, S. PRUESS, AND R. D. RUSSELL, On spline basis selection for solving differential equations, SIAM J. Numer. Anal., 20 (1983), pp. 121-142.
-
(1983)
SIAM J. Numer. Anal.
, vol.20
, pp. 121-142
-
-
Ascher, U.1
Pruess, S.2
Russell, R.D.3
-
4
-
-
0009967446
-
A comparison of two multilevel iterative methods for nonsymmetric and indefinite elliptic finite element equations
-
R. E. BANK, A comparison of two multilevel iterative methods for nonsymmetric and indefinite elliptic finite element equations, SIAM J. Numer. Anal., 18 (1981), pp. 724-743.
-
(1981)
SIAM J. Numer. Anal.
, vol.18
, pp. 724-743
-
-
Bank, R.E.1
-
5
-
-
0005683761
-
An alternating direction implicit method for orthogonal spline collocation linear systems
-
B. BIALECKI, An alternating direction implicit method for orthogonal spline collocation linear systems, Numer. Math., 59 (1991), pp. 413-429.
-
(1991)
Numer. Math.
, vol.59
, pp. 413-429
-
-
Bialecki, B.1
-
6
-
-
0027574205
-
A fast domain decomposition poisson solver on a rectangle for hermite bicubic orthogonal spline collocation
-
B. BIALECKI, A fast domain decomposition Poisson solver on a rectangle for Hermite bicubic orthogonal spline collocation, SIAM J. Numer. Anal., 30 (1993), pp. 425-434.
-
(1993)
SIAM J. Numer. Anal.
, vol.30
, pp. 425-434
-
-
Bialecki, B.1
-
7
-
-
0001266031
-
Convergence analysis of orthogonal spline collocation for elliptic boundary value problems
-
B. BIALECKI, Convergence analysis of orthogonal spline collocation for elliptic boundary value problems, SIAM J. Numer. Anal., 35 (1998), pp. 617-631.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 617-631
-
-
Bialecki, B.1
-
8
-
-
0005654115
-
Superconvergence of the orthogonal spline collocation solution of Poisson's equation
-
B. BIALECKI, Superconvergence of the orthogonal spline collocation solution of Poisson's equation, Numer. Methods Partial Differential Equations, 15 (1999), pp. 285-303.
-
(1999)
Numer. Methods Partial Differential Equations
, vol.15
, pp. 285-303
-
-
Bialecki, B.1
-
9
-
-
0031485462
-
Multilevel additive and multiplicative methods for orthogonal spline collocation problems
-
B. BIALECKI AND M. DRYJA, Multilevel additive and multiplicative methods for orthogonal spline collocation problems, Numer. Math., 77 (1997), pp. 35-58.
-
(1997)
Numer. Math.
, vol.77
, pp. 35-58
-
-
Bialecki, B.1
Dryja, A.M.2
-
10
-
-
0026817974
-
Fast direct solvers for piecewise hermite bicubic orthogonal spline collocation equations
-
B. BIALECKI, G. FAIRWEATHER, AND K. R. BENNETT, Fast direct solvers for piecewise Hermite bicubic orthogonal spline collocation equations, SIAM J. Numer. Anal., 29 (1992), pp. 156-173.
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 156-173
-
-
Bialecki, B.1
Fairweather, G.2
Bennett, K.R.3
-
11
-
-
0028751575
-
Uniform convergence of multigrid V-cycle iterations for indefinite and nonsymmetric problems
-
J. H. BRAMBLE, D. Y. KWAK, AND J. E. PASCIAK, Uniform convergence of multigrid V-cycle iterations for indefinite and nonsymmetric problems, SIAM J. Numer. Anal., 31 (1994), pp. 1746-1763.
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, pp. 1746-1763
-
-
Bramble, J.H.1
Kwak, D.Y.2
Pasciak, J.E.3
-
12
-
-
0000657234
-
Wave-ray multigrid method for standing wave equations
-
A. BRANDT AND I. LIVSHITS, Wave-ray multigrid method for standing wave equations, Electron. Trans. Numer. Anal., 6 (1997), pp. 162-181.
-
(1997)
Electron. Trans. Numer. Anal.
, vol.6
, pp. 162-181
-
-
Brandt, A.1
Livshits, I.2
-
13
-
-
0001070444
-
Multigrid and multilevel methods for quadratic spline collocation
-
C. CHRISTARA AND B. F. SMITH, Multigrid and multilevel methods for quadratic spline collocation, BIT, 37 (1997), pp. 781-803.
-
(1997)
BIT
, vol.37
, pp. 781-803
-
-
Christara, C.1
Smith, B.F.2
-
14
-
-
0026169773
-
Alternating direction collocation for separable elliptic partial differential equations
-
K. D. COOPER AND P. M. PRENTER, Alternating direction collocation for separable elliptic partial differential equations, SIAM J. Numer. Anal., 28 (1991), pp. 711-727.
-
(1991)
SIAM J. Numer. Anal.
, vol.28
, pp. 711-727
-
-
Cooper, K.D.1
Prenter, P.M.2
-
15
-
-
0000319158
-
Collocation at gaussian points
-
C. DE BOOR AND B. SWARTZ, Collocation at Gaussian points, SIAM J. Numer. Anal., 10 (1973), pp. 582-606.
-
(1973)
SIAM J. Numer. Anal.
, vol.10
, pp. 582-606
-
-
De Boor, C.1
Swartz, B.2
-
16
-
-
84966241361
-
Interpolation of besov spaces
-
R. DEVORE AND V. POPOV, Interpolation of Besov spaces, Trans. Amer. Math. Soc., 305 (1988), pp. 397-414.
-
(1988)
Trans. Amer. Math. Soc.
, vol.305
, pp. 397-414
-
-
Devore, R.1
Popov, V.2
-
17
-
-
84990712164
-
Schwarz methods of neumann-neumann type for 3-dimensional elliptic finite-element problems
-
M. DRYJA AND O. B. WIDLUND, Schwarz methods of Neumann-Neumann type for 3-dimensional elliptic finite-element problems, Comm. Pure Appl. Math., 48 (1995), pp. 121-155.
-
(1995)
Comm. Pure Appl. Math.
, vol.48
, pp. 121-155
-
-
Dryja, M.1
Widlund, O.B.2
-
18
-
-
0023287845
-
Tensor product generalized ADI methods for separable elliptic problems
-
W. R. DYKSEN, Tensor product generalized ADI methods for separable elliptic problems, SIAM J. Numer. Anal., 24 (1987), pp. 59-76.
-
(1987)
SIAM J. Numer. Anal.
, vol.24
, pp. 59-76
-
-
Dyksen, W.R.1
-
19
-
-
27644537802
-
The multigrid iteration applied to the collocation method
-
J. GARY, The multigrid iteration applied to the collocation method, SIAM J. Numer. Anal., 18 (1981), pp. 211-224.
-
(1981)
SIAM J. Numer. Anal.
, vol.18
, pp. 211-224
-
-
Gary, J.1
-
21
-
-
38249009988
-
Modified successive overrelaxation (MSOR) and equivalent 2-step iterative methods for collocation matrices
-
A. HADJIDIMOS, E. N. HOUSTIS, J. R. RICE, AND E. VAVALIS, Modified successive overrelaxation (MSOR) and equivalent 2-step iterative methods for collocation matrices, J. Comput. Appl. Math., 42 (1992), pp. 375-393.
-
(1992)
J. Comput. Appl. Math.
, vol.42
, pp. 375-393
-
-
Hadjidimos, A.1
Houstis, E.N.2
Rice, J.R.3
Vavalis, E.4
-
22
-
-
0022182217
-
Algorithms INTCOL and HERMCOL: Collocation on rectangular domains with bicubic Hermite polynomials
-
E. N. HOUSTIS, W. F. MITCHELL, AND J. R. RICE, Algorithms INTCOL and HERMCOL: Collocation on rectangular domains with bicubic Hermite polynomials, ACM Trans. Math. Software, 11 (1985), pp. 416-418.
-
(1985)
ACM Trans. Math. Software
, vol.11
, pp. 416-418
-
-
Houstis, E.N.1
Mitchell, W.F.2
Rice, J.R.3
-
23
-
-
0022215770
-
Collocation software for second-order partial differential equations
-
E. N. HOUSTIS, W. F. MITCHELL, AND J. R. RICE, Collocation software for second-order partial differential equations, ACM Trans. Math. Software, 11 (1985), pp. 379-412.
-
(1985)
ACM Trans. Math. Software
, vol.11
, pp. 379-412
-
-
Houstis, E.N.1
Mitchell, W.F.2
Rice, J.R.3
-
24
-
-
21844499282
-
Preconditioning cubic spline collocation discretizations of elliptic problems
-
S. D. KIM AND S. V. PARTER, Preconditioning cubic spline collocation discretizations of elliptic problems, Numer. Math., 72 (1995), pp. 39-72.
-
(1995)
Numer. Math.
, vol.72
, pp. 39-72
-
-
Kim, S.D.1
Parter, S.V.2
-
26
-
-
21844526034
-
On the iterative solution of Hermite collocation equations
-
Y.-L. LAI, A. HADJIDIMOS, E. N. HOUSTIS, AND J. R. RICE, On the iterative solution of Hermite collocation equations, SIAM J. Matrix Anal. Appl., 16 (1995), pp. 254-277.
-
(1995)
SIAM J. Matrix Anal. Appl.
, vol.16
, pp. 254-277
-
-
Lai, Y.-L.1
Hadjidimos, A.2
Houstis, E.N.3
Rice, J.R.4
-
27
-
-
38249038871
-
Multigrid convergence for nonsymmetric, indefinite variational problems and one smoothing step
-
J. MANDEL, Multigrid convergence for nonsymmetric, indefinite variational problems and one smoothing step, Appl. Math. Comput., 19 (1986), pp. 201-216.
-
(1986)
Appl. Math. Comput.
, vol.19
, pp. 201-216
-
-
Mandel, J.1
-
28
-
-
0025447701
-
Preconditioning and boundary conditions
-
T. A. MANTEUFFEL AND S. V. PARTER, Preconditioning and boundary conditions, SIAM J. Numer. Anal., 27 (1990), pp. 656-694.
-
(1990)
SIAM J. Numer. Anal.
, vol.27
, pp. 656-694
-
-
Manteuffel, T.A.1
Parter, S.V.2
-
29
-
-
0037340231
-
A domain decomposition preconditioner for Hermite collocation problems
-
G. MATEESCU, C. J. RIBBENS, AND L. T. WATSON, A domain decomposition preconditioner for Hermite collocation problems, Numer. Methods Partial Differential Equations, 19 (2003), pp. 135-151.
-
(2003)
Numer. Methods Partial Differential Equations
, vol.19
, pp. 135-151
-
-
Mateescu, G.1
Ribbens, C.J.2
Watson, L.T.3
-
30
-
-
0001988435
-
On function spaces related to finite element approximation theory
-
P. OSWALD, On function spaces related to finite element approximation theory, Z. Anal. Anwendungen, 9 (1990), pp. 43-64.
-
(1990)
Z. Anal. Anwendungen
, vol.9
, pp. 43-64
-
-
Oswald, P.1
-
31
-
-
0002427932
-
On discrete norm estimates related to multilevel preconditioners in the finite element method
-
K. G. Ivanov, P. Petrushev, and B. Sendov, eds., Publ. House Bulgarian Academy of Sciences, Sofia
-
P. OSWALD, On discrete norm estimates related to multilevel preconditioners in the finite element method, in Proceedings of the International Conference on Constructive Theory of Functions (Varna 1991), K. G. Ivanov, P. Petrushev, and B. Sendov, eds., Publ. House Bulgarian Academy of Sciences, Sofia, 1992, pp. 203-214.
-
(1992)
Proceedings of the International Conference on Constructive Theory of Functions (Varna 1991)
, pp. 203-214
-
-
Oswald, P.1
-
32
-
-
84985337987
-
Multilevel preconditioners for discretizations of the biharmonic equation by rectangular finite elements
-
P. OSWALD, Multilevel preconditioners for discretizations of the biharmonic equation by rectangular finite elements, Numer. Linear Algebra Appl., 2 (1995), pp. 487-505.
-
(1995)
Numer. Linear Algebra Appl.
, vol.2
, pp. 487-505
-
-
Oswald, P.1
-
33
-
-
0000383666
-
1 finite element collocation method for elliptic equations
-
1 finite element collocation method for elliptic equations, SIAM J. Numer. Anal., 17 (1980), pp. 605-622.
-
(1980)
SIAM J. Numer. Anal.
, vol.17
, pp. 605-622
-
-
Percell, P.1
Wheeler, M.F.2
-
35
-
-
0004189166
-
-
Prentice-Hall, Inc., Englewood Cliffs, NJ
-
M. H. SCHULTZ, Spline Analysis, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1973.
-
(1973)
Spline Analysis
-
-
Schultz, M.H.1
-
36
-
-
0003419897
-
-
Cambridge University Press, Cambridge, UK
-
B. F. SMITH, P. E. BJØRSTAD, AND W. D. GROPP, Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations, Cambridge University Press, Cambridge, UK, 1996.
-
(1996)
Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations
-
-
Smith, B.F.1
Bjørstad, P.E.2
Gropp, W.D.3
-
37
-
-
0001668904
-
Block iterative algorithms for solving Hermite bicubic collocation equations
-
W. SUN, Block iterative algorithms for solving Hermite bicubic collocation equations, SIAM J. Numer. Anal., 33 (1996), pp. 589-601.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 589-601
-
-
Sun, W.1
-
38
-
-
0003882441
-
-
North-Holland, Amsterdam, New York
-
H. TRIEBEL, Interpolation Theory, Function Spaces, Differential Operators, North-Holland, Amsterdam, New York, 1978.
-
(1978)
Interpolation Theory, Function Spaces, Differential Operators
-
-
Triebel, H.1
-
39
-
-
34249840453
-
Multilevel Schwarz methods
-
X. ZHANG, Multilevel Schwarz methods, Numer. Math., 63 (1992), pp. 521-539.
-
(1992)
Numer. Math.
, vol.63
, pp. 521-539
-
-
Zhang, X.1
-
40
-
-
0001539061
-
Multilevel Schwarz methods for the biharmonic Dirichlet problem
-
X. ZHANG, Multilevel Schwarz methods for the biharmonic Dirichlet problem, SIAM J. Sci. Comput., 15 (1994), pp. 621-644.
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, pp. 621-644
-
-
Zhang, X.1
|