-
2
-
-
0037253743
-
Efficient approximation of the exponential operator for discrete 2D advection-diffusion problems
-
Bergamaschi L. Caliari M. Vianello M. Efficient approximation of the exponential operator for discrete 2D advection-diffusion problems Numer. Linear Algebra Appl. 10 3 2003 271-289
-
(2003)
Numer. Linear Algebra Appl.
, vol.10
, Issue.3
, pp. 271-289
-
-
Bergamaschi, L.1
Caliari, M.2
Vianello, M.3
-
3
-
-
0034382829
-
Efficient computation of the exponential operator for large, sparse, symmetric matrices
-
Bergamaschi L. Vianello M. Efficient computation of the exponential operator for large, sparse, symmetric matrices Numer. Linear Algebra Appl. 7 1 2000 27-45
-
(2000)
Numer. Linear Algebra Appl.
, vol.7
, Issue.1
, pp. 27-45
-
-
Bergamaschi, L.1
Vianello, M.2
-
4
-
-
4444335023
-
-
Ph.D. Thesis in Computational Mathematics, University of Padova, advisors M. Vianello and L. Bergamaschi, URL http://www.math.unipd.it/~mcaliari/pdf/phd.pdf
-
M. Caliari, Efficient implementation of exponential integrators for 2D and 3D advection-diffusion equations, Ph.D. Thesis in Computational Mathematics, University of Padova, advisors M. Vianello and L. Bergamaschi, 2003, URL http://www.math.unipd.it/~mcaliari/pdf/phd.pdf http://www.math.unipd.it/~mcaliari/pdf/phd.pdf
-
(2003)
Efficient Implementation of Exponential Integrators for 2D and 3D Advection-diffusion Equations
-
-
Caliari, M.1
-
5
-
-
84953600891
-
A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type
-
Crank J. Nicolson P. A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type Proc. Cambridge Philos. Soc. 43 1947 50-67
-
(1947)
Proc. Cambridge Philos. Soc.
, vol.43
, pp. 50-67
-
-
Crank, J.1
Nicolson, P.2
-
6
-
-
0000446481
-
Two polynomial methods for calculating functions of symmetric matrices
-
Druskin V.L. Knizhnerman L.A. Two polynomial methods for calculating functions of symmetric matrices Comput. Math. Math. Phys. 29 6 1989 112-121
-
(1989)
Comput. Math. Math. Phys.
, vol.29
, Issue.6
, pp. 112-121
-
-
Druskin, V.L.1
Knizhnerman, L.A.2
-
7
-
-
84966244685
-
Computation of Faber series with application to numerical polynomial approximation in the complex plane
-
Ellacott S.W. Computation of Faber series with application to numerical polynomial approximation in the complex plane Math. Comput. 40 162 1983 575-587
-
(1983)
Math. Comput.
, vol.40
, Issue.162
, pp. 575-587
-
-
Ellacott, S.W.1
-
8
-
-
84968521861
-
Newton interpolation in Fejér and Chebyshev points
-
Fischer B. Reichel L. Newton interpolation in Fejér and Chebyshev points Math. Comput. 53 187 1989 265-278
-
(1989)
Math. Comput.
, vol.53
, Issue.187
, pp. 265-278
-
-
Fischer, B.1
Reichel, L.2
-
9
-
-
0024779854
-
A method for exponential propagation of large system of stiff nonlinear differential equations
-
Friesner R.A. Tuckerman L.S. Dornblaser B.C. Russo T.V. A method for exponential propagation of large system of stiff nonlinear differential equations J. Sci. Comput. 4 4 1989 327-354
-
(1989)
J. Sci. Comput.
, vol.4
, Issue.4
, pp. 327-354
-
-
Friesner, R.A.1
Tuckerman, L.S.2
Dornblaser, B.C.3
Russo, T.V.4
-
10
-
-
0000269389
-
Efficient solution of parabolic equations by Krylov subspace methods
-
Gallopoulos E. Saad Y. Efficient solution of parabolic equations by Krylov subspace methods SIAM J. Sci. Statist. Comput. 13 5 1992 1236-1264
-
(1992)
SIAM J. Sci. Statist. Comput.
, vol.13
, Issue.5
, pp. 1236-1264
-
-
Gallopoulos, E.1
Saad, Y.2
-
11
-
-
0347799731
-
On Krylov subspace approximations to the matrix exponential
-
Hochbruck M. Lubich C. On Krylov subspace approximations to the matrix exponential SIAM J. Numer. Anal. 34 5 1997 1911-1925
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, Issue.5
, pp. 1911-1925
-
-
Hochbruck, M.1
Lubich, C.2
-
12
-
-
0002279610
-
Exponential integrators for large systems of differential equations
-
Hochbruck M. Lubich C. Selhofer H. Exponential integrators for large systems of differential equations SIAM J. Sci. Comput. 19 5 1998 1552-1574
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, Issue.5
, pp. 1552-1574
-
-
Hochbruck, M.1
Lubich, C.2
Selhofer, H.3
-
13
-
-
2142821340
-
-
Springer series in Computational Mathematics, Springer, Berlin
-
W. Hundsdorfer, J.G. Verwer, Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations, Springer series in Computational Mathematics, Vol. 33, Springer, Berlin, 2003.
-
(2003)
Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations
, vol.33
-
-
Hundsdorfer, W.1
Verwer, J.G.2
-
14
-
-
0002497330
-
The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
-
Kershaw D.S. The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations J. Comput. Phys. 26 1 1978 43-65
-
(1978)
J. Comput. Phys.
, vol.26
, Issue.1
, pp. 43-65
-
-
Kershaw, D.S.1
-
15
-
-
0033571420
-
Analysis of operator splitting for advection-diffusion-reaction problems for air-pollution modelling
-
Lanser D. Verwer J.G. Analysis of operator splitting for advection-diffusion-reaction problems for air-pollution modelling J. Comput. Appl. Math. 111 1-2 1999 201-216
-
(1999)
J. Comput. Appl. Math.
, vol.111
, Issue.1-2
, pp. 201-216
-
-
Lanser, D.1
Verwer, J.G.2
-
16
-
-
0033149563
-
Modified Krylov acceleration for parallel environments
-
Le Calvez C. Saad Y. Modified Krylov acceleration for parallel environments Appl. Numer. Math. 30 2-3 1999 191-212
-
(1999)
Appl. Numer. Math.
, vol.30
, Issue.2-3
, pp. 191-212
-
-
Le Calvez, C.1
Saad, Y.2
-
18
-
-
0040361621
-
Sur certaines suites liées aux ensembles plans et leur application à la représentation conforme
-
Leja F. Sur certaines suites liées aux ensembles plans et leur application à la représentation conforme Ann. Polon. Math. 4 1957 8-13
-
(1957)
Ann. Polon. Math.
, vol.4
, pp. 8-13
-
-
Leja, F.1
-
19
-
-
0001256129
-
The Tchebychev iteration for nonsymmetric linear systems
-
Manteuffel T.A. The Tchebychev iteration for nonsymmetric linear systems Numer. Math. 28 3 1977 307-327
-
(1977)
Numer. Math.
, vol.28
, Issue.3
, pp. 307-327
-
-
Manteuffel, T.A.1
-
20
-
-
34250261642
-
Adaptive procedure for estimating parameters for the nonsymmetric Tchebychev iteration
-
Manteuffel T.A. Adaptive procedure for estimating parameters for the nonsymmetric Tchebychev iteration Numer. Math. 31 2 1978/1979 183-208
-
(1978)
Numer. Math.
, vol.31
, Issue.2
, pp. 183-208
-
-
Manteuffel, T.A.1
-
21
-
-
0003463711
-
-
Prentice-Hall, Inc., Englewood Cliffs, NJ
-
A.I. Markushevic, Theory of Functions of a Complex Variable, Vol. 3, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1967.
-
(1967)
Theory of Functions of a Complex Variable
, vol.3
-
-
Markushevic, A.I.1
-
22
-
-
0037354371
-
Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later
-
Moler C. van Loan C. Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later SIAM Rev. 45 2003 3-49
-
(2003)
SIAM Rev.
, vol.45
, pp. 3-49
-
-
Moler, C.1
van Loan, C.2
-
23
-
-
0035416395
-
The computation of functions of matrices by truncated Faber series
-
Moret I. Novati P. The computation of functions of matrices by truncated Faber series Numer. Funct. Anal. Optim. 22 5-6 2001 697-719
-
(2001)
Numer. Funct. Anal. Optim.
, vol.22
, Issue.5-6
, pp. 697-719
-
-
Moret, I.1
Novati, P.2
-
24
-
-
0035360316
-
An interpolatory approximation of the matrix exponential based on Faber polynomials
-
Moret I. Novati P. An interpolatory approximation of the matrix exponential based on Faber polynomials J. Comput. Appl. Math. 131 1-2 2001 361-380
-
(2001)
J. Comput. Appl. Math.
, vol.131
, Issue.1-2
, pp. 361-380
-
-
Moret, I.1
Novati, P.2
-
27
-
-
0037214140
-
A polynomial method based on Fejér points for the computation of functions of unsymmetric matrices
-
Novati P. A polynomial method based on Fejér points for the computation of functions of unsymmetric matrices Appl. Numer. Math. 44 1-2 2003 201-224
-
(2003)
Appl. Numer. Math.
, vol.44
, Issue.1-2
, pp. 201-224
-
-
Novati, P.1
-
28
-
-
0037253980
-
Solving linear initial value problems by Faber polynomials
-
Novati P. Solving linear initial value problems by Faber polynomials Numer. Linear Algebra Appl. 10 3 2003 247-270
-
(2003)
Numer. Linear Algebra Appl.
, vol.10
, Issue.3
, pp. 247-270
-
-
Novati, P.1
-
29
-
-
0035109252
-
Arnoldi and Crank-Nicolson methods for integration in time of the transport equation
-
Pini G. Gambolati G. Arnoldi and Crank-Nicolson methods for integration in time of the transport equation Internat. J. Numer. Methods Fluids 35 2001 25-38
-
(2001)
Internat. J. Numer. Methods Fluids
, vol.35
, pp. 25-38
-
-
Pini, G.1
Gambolati, G.2
-
30
-
-
0003430389
-
-
Springer Series in Computational Mathematics, Springer, Berlin
-
A. Quarteroni, A. Valli, Numerical Approximation of Partial Differential Equations, Springer Series in Computational Mathematics, Vol. 23, Springer, Berlin, 1994.
-
(1994)
Numerical Approximation of Partial Differential Equations
, vol.23
-
-
Quarteroni, A.1
Valli, A.2
-
31
-
-
0028695631
-
Pseudospectra of the convection-diffusion operator
-
Reddy S.C. Trefethen L.N. Pseudospectra of the convection-diffusion operator SIAM J. Appl. Math. 54 6 1994 1634-1649
-
(1994)
SIAM J. Appl. Math.
, vol.54
, Issue.6
, pp. 1634-1649
-
-
Reddy, S.C.1
Trefethen, L.N.2
-
32
-
-
0012089844
-
Newton interpolation at Leja points
-
Reichel L. Newton interpolation at Leja points BIT 30 2 1990 332-346
-
(1990)
BIT
, vol.30
, Issue.2
, pp. 332-346
-
-
Reichel, L.1
-
33
-
-
0000186540
-
Eigenvalues and pseudo-eigenvalues of Toeplitz matrices
-
Reichel L. Trefethen L.N. Eigenvalues and pseudo-eigenvalues of Toeplitz matrices Linear Algebra Appl. 162/164 1992 153-185
-
(1992)
Linear Algebra Appl.
, vol.162
, Issue.164
, pp. 153-185
-
-
Reichel, L.1
Trefethen, L.N.2
-
34
-
-
0026818185
-
Analysis of some Krylov subspace approximations to the matrix exponential operator
-
Saad Y. Analysis of some Krylov subspace approximations to the matrix exponential operator SIAM J. Numer. Anal. 29 1 1992 209-228
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, Issue.1
, pp. 209-228
-
-
Saad, Y.1
-
35
-
-
0025245135
-
A polynomial based iterative method for linear parabolic equations
-
Schaefer M.J. A polynomial based iterative method for linear parabolic equations J. Comput. Appl. Math. 29 1 1990 35-50
-
(1990)
J. Comput. Appl. Math.
, vol.29
, Issue.1
, pp. 35-50
-
-
Schaefer, M.J.1
-
36
-
-
0032010619
-
Expokit, A software package for computing matrix exponentials
-
Sidje R.B. Expokit, A software package for computing matrix exponentials ACM Trans. Math. Software 24 1 1998 130-156
-
(1998)
ACM Trans. Math. Software
, vol.24
, Issue.1
, pp. 130-156
-
-
Sidje, R.B.1
-
37
-
-
0242510121
-
An accurate and efficient scheme for propagating the time dependend Schrödinger equation
-
Tal-Ezer H. Kosloff R. An accurate and efficient scheme for propagating the time dependend Schrödinger equation J. Chem. Phys. 81 9 1984 3967-3971
-
(1984)
J. Chem. Phys.
, vol.81
, Issue.9
, pp. 3967-3971
-
-
Tal-Ezer, H.1
Kosloff, R.2
-
38
-
-
0009694082
-
Low-order polynomial approximation of propagators for the time-dependent Schrödinger equation
-
Tal-Ezer H. Kosloff R. Cerien C. Low-order polynomial approximation of propagators for the time-dependent Schrödinger equation J. Comput. Phys. 100 1 1992 179-187
-
(1992)
J. Comput. Phys.
, vol.100
, Issue.1
, pp. 179-187
-
-
Tal-Ezer, H.1
Kosloff, R.2
Cerien, C.3
-
39
-
-
85011519633
-
Computation of pseudospectra
-
A. Iserles (Ed.), Cambridge University Press, Cambridge
-
L.N. Trefethen, Computation of pseudospectra, in: A. Iserles (Ed.), Acta Numerical, Vol. 8, Cambridge University Press, Cambridge, 1999, pp. 247-295.
-
(1999)
Acta Numerical
, vol.8
, pp. 247-295
-
-
Trefethen, L.N.1
-
40
-
-
0000005482
-
Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems
-
van der Vorst H.A. Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems SIAM J. Sci. Statist. Comput. 13 2 1992 631-644
-
(1992)
SIAM J. Sci. Statist. Comput.
, vol.13
, Issue.2
, pp. 631-644
-
-
van der Vorst, H.A.1
-
41
-
-
0003339238
-
Numerical methods for advection-diffusion problems
-
Eds. Friedrivk, Vieweg and Sohn, Braunschweig
-
C.B. Vreugdenhil, B. Koren (Eds.), Numerical methods for advection-diffusion problems, Notes on Numerical Fluid Mechanics, Vol. 45, Friedrivk, Vieweg and Sohn, Braunschweig, 1993.
-
(1993)
Notes on Numerical Fluid Mechanics
, vol.45
-
-
Vreugdenhil, C.B.1
Koren, B.2
-
42
-
-
4444249904
-
-
AMS, American Mathematical Society Colloquium Publications, Providence, RI
-
J.L. Walsh, Interpolation and approximation by rational functions in the complex domain, American Mathematical Society Colloquium Publications, Vol. XX, AMS, Providence, RI, 1935.
-
(1935)
Interpolation and Approximation By Rational Functions in the Complex Domain
, vol.20
-
-
Walsh, J.L.1
|