-
1
-
-
85190284142
-
-
Available from: .
-
-
-
-
2
-
-
0000944835
-
A fast algorithm for the evaluation of Legendre expansions
-
Alpert B.K., and Rokhlin V. A fast algorithm for the evaluation of Legendre expansions. SIAM J. Sci. Stat. Comput. 12 1 (1991) 158-179
-
(1991)
SIAM J. Sci. Stat. Comput.
, vol.12
, Issue.1
, pp. 158-179
-
-
Alpert, B.K.1
Rokhlin, V.2
-
7
-
-
0042657868
-
High-order multi-implicit spectral deferred correction methods for problems of reactive flow
-
Bourlioux A., Layton A.T., and Minion M.L. High-order multi-implicit spectral deferred correction methods for problems of reactive flow. J. Comput. Phys. 189 (2003) 351-376
-
(2003)
J. Comput. Phys.
, vol.189
, pp. 351-376
-
-
Bourlioux, A.1
Layton, A.T.2
Minion, M.L.3
-
9
-
-
0036792332
-
Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems
-
Calvo M.P., and Palencia C. Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems. Math. Comput. 71 (2002) 1529-1543
-
(2002)
Math. Comput.
, vol.71
, pp. 1529-1543
-
-
Calvo, M.P.1
Palencia, C.2
-
10
-
-
0003766476
-
-
Springer, Berlin
-
Canuto C., Hussaini M.Y., Quarteroni A., and Zang T.A. Spectral Methods in Fluid Dynamics (1988), Springer, Berlin
-
(1988)
Spectral Methods in Fluid Dynamics
-
-
Canuto, C.1
Hussaini, M.Y.2
Quarteroni, A.3
Zang, T.A.4
-
11
-
-
30444448545
-
-
Chen K., Iserles A., and Ciarlet P.G. (Eds), Cambridge University Press, Cambridge
-
In: Chen K., Iserles A., and Ciarlet P.G. (Eds). Matrix Preconditioning Techniques and Applications (2005), Cambridge University Press, Cambridge
-
(2005)
Matrix Preconditioning Techniques and Applications
-
-
-
12
-
-
0003239298
-
-
North-Holland, Amsterdam
-
Dekker K., and Verwer J.G. Stability of Runge-Kutta Methods for Stiff Nonlinear Differential Equations. CWI Monographs (1984), North-Holland, Amsterdam
-
(1984)
CWI Monographs
-
-
Dekker, K.1
Verwer, J.G.2
-
13
-
-
0042185232
-
Spectral deferred correction methods for ordinary differential equations
-
Dutt A., Greengard L., and Rokhlin V. Spectral deferred correction methods for ordinary differential equations. BIT 40 2 (2000) 241-266
-
(2000)
BIT
, vol.40
, Issue.2
, pp. 241-266
-
-
Dutt, A.1
Greengard, L.2
Rokhlin, V.3
-
14
-
-
0009902928
-
Fast algorithms for polynomial interpolation, integration, and differentiation
-
Dutt A., Gu M., and Rokhlin V. Fast algorithms for polynomial interpolation, integration, and differentiation. SIAM J. Numer. Anal. 33 5 (1996) 1689-1711
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, Issue.5
, pp. 1689-1711
-
-
Dutt, A.1
Gu, M.2
Rokhlin, V.3
-
16
-
-
0026202215
-
Spectral integration and two-point boundary value problems
-
Greengard L. Spectral integration and two-point boundary value problems. SIAM J. Numer. Anal. 28 (1991) 1071-1080
-
(1991)
SIAM J. Numer. Anal.
, vol.28
, pp. 1071-1080
-
-
Greengard, L.1
-
17
-
-
0000396658
-
A fast algorithm for particle simulations
-
Greengard L., and Rokhlin V. A fast algorithm for particle simulations. J. Comput. Phys. 73 (1987) 325-348
-
(1987)
J. Comput. Phys.
, vol.73
, pp. 325-348
-
-
Greengard, L.1
Rokhlin, V.2
-
21
-
-
33644964289
-
Accelerating the convergence of spectral deferred correction methods
-
Huang J., Jia J., and Minion M. Accelerating the convergence of spectral deferred correction methods. J. Comput. Phys. 214 2 (2006) 633-656
-
(2006)
J. Comput. Phys.
, vol.214
, Issue.2
, pp. 633-656
-
-
Huang, J.1
Jia, J.2
Minion, M.3
-
24
-
-
27144534869
-
Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations
-
Layton A.T., and Minion M.L. Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations. BIT 45 2 (2005) 341-373
-
(2005)
BIT
, vol.45
, Issue.2
, pp. 341-373
-
-
Layton, A.T.1
Minion, M.L.2
-
25
-
-
1442282983
-
Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics
-
Layton A.T., and Minion M.L. Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics. J. Comput. Phys. 194 2 (2004) 697-714
-
(2004)
J. Comput. Phys.
, vol.194
, Issue.2
, pp. 697-714
-
-
Layton, A.T.1
Minion, M.L.2
-
26
-
-
0008499364
-
Iterated deferred correction for nonlinear boundary value problems
-
Pereyra V. Iterated deferred correction for nonlinear boundary value problems. Numer. Math. 11 (1968) 111-125
-
(1968)
Numer. Math.
, vol.11
, pp. 111-125
-
-
Pereyra, V.1
-
27
-
-
0242573575
-
Quadruple and octuple layer potentials in two dimensions. I. Analytical apparatus
-
Kolm P., Jiang S., and Rokhlin V. Quadruple and octuple layer potentials in two dimensions. I. Analytical apparatus. Appl. Comput. Harmon. Anal. 14 1 (2003)
-
(2003)
Appl. Comput. Harmon. Anal.
, vol.14
, Issue.1
-
-
Kolm, P.1
Jiang, S.2
Rokhlin, V.3
-
28
-
-
85128807957
-
Semi-implicit spectral deferred correction methods for ordinary differential equations
-
Minion M.L. Semi-implicit spectral deferred correction methods for ordinary differential equations. Comm. Math. Sci. 1 (2003) 471-500
-
(2003)
Comm. Math. Sci.
, vol.1
, pp. 471-500
-
-
Minion, M.L.1
-
29
-
-
85190246988
-
-
L.R. Petzold, A Description of DASSL: A Differential-Algebraic System Solver, SAND82-8637, Sandia National Lab, 1982.
-
-
-
-
30
-
-
10844280067
-
Fractional step methods for index-1 differential-algebraic equations
-
Vijalapura P.K., Strain J., and Govindjee S. Fractional step methods for index-1 differential-algebraic equations. J. Comput. Phys. 203 1 (2005) 305-320
-
(2005)
J. Comput. Phys.
, vol.203
, Issue.1
, pp. 305-320
-
-
Vijalapura, P.K.1
Strain, J.2
Govindjee, S.3
-
31
-
-
85190237830
-
-
A. Rangan, Adaptive solvers for partial differential and differential-algebraic equations, Ph.D. Thesis, University of California at Berkeley, 2003.
-
-
-
-
32
-
-
85190279960
-
-
A. Rangan, Deferred correction methods for low index differential algebraic equations, preprint.
-
-
-
-
33
-
-
0000048673
-
GMRES: a generalized minimal residual algorithm for solving non-symmetric linear systems
-
Saad Y., and Schultz M.H. GMRES: a generalized minimal residual algorithm for solving non-symmetric linear systems. SIAM J. Sci. Stat. Comput. 7 (1986) 856-869
-
(1986)
SIAM J. Sci. Stat. Comput.
, vol.7
, pp. 856-869
-
-
Saad, Y.1
Schultz, M.H.2
-
34
-
-
0000391272
-
Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations
-
Sanz-Serna J.M., Verwer J.G., and Hundsdorfer W.H. Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations. Numer. Math. 50 (1986) 405-418
-
(1986)
Numer. Math.
, vol.50
, pp. 405-418
-
-
Sanz-Serna, J.M.1
Verwer, J.G.2
Hundsdorfer, W.H.3
-
36
-
-
85190263006
-
-
P.E. Zadunaisky, A method for the estimation of errors propagated in the numerical solution of a system of ordinary differential equations, The Theory of Orbits in the Solar System and in Stellar Systems, in: Proceedings of International Astronomical Union, Symposium 25, 1964.
-
-
-
-
37
-
-
0007148564
-
On the estimation of errors propagated in the numerical integration of ordinary differential equations
-
Zadunaisky P.E. On the estimation of errors propagated in the numerical integration of ordinary differential equations. Numer. Math. 27 (1976) 21-40
-
(1976)
Numer. Math.
, vol.27
, pp. 21-40
-
-
Zadunaisky, P.E.1
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