-
1
-
-
0035993886
-
Sharp constants for rational approximation of analytic functions
-
A. I. Aptekarev, Sharp constants for rational approximation of analytic functions, Sb. Math., 193 (2002), pp. 1-72.
-
(2002)
Sb. Math.
, vol.193
, pp. 1-72
-
-
Aptekarev, A.I.1
-
2
-
-
0029305258
-
Incomplete partial fractions for parallel evaluation of rational matrix functions
-
D. Calvetti, E. Gallopoulos, and L. Reichel, Incomplete partial fractions for parallel evaluation of rational matrix functions, J. Comput. Appl. Math., 59 (1995), pp. 349-380.
-
(1995)
J. Comput. Appl. Math.
, vol.59
, pp. 349-380
-
-
Calvetti, D.1
Gallopoulos, E.2
Reichel, L.3
-
3
-
-
0005449424
-
Extended computations on the '1/9' conjecture in rational approximation theory
-
Rational Approximation and Interpolation, P. R. Graves-Morris, E. B. Saff, and R. S. Varga, eds., Springer, Berlin
-
A. J. Carpenter, A. Ruttan, and R. S. Varga, Extended computations on the '1/9' conjecture in rational approximation theory, in Rational Approximation and Interpolation, P. R. Graves-Morris, E. B. Saff, and R. S. Varga, eds., Lect. Notes Math., vol. 1105, pp. 383-111, Springer, Berlin, 1984.
-
(1984)
Lect. Notes Math.
, vol.1105
, pp. 383-1111
-
-
Carpenter, A.J.1
Ruttan, A.2
Varga, R.S.3
-
4
-
-
33746035806
-
A comparison of Crank-Nicolson and Chebyshev rational methods for numerically solving linear parabolic equations
-
J. C. Cavendish, W. E. Culham, and R. S. Varga, A comparison of Crank-Nicolson and Chebyshev rational methods for numerically solving linear parabolic equations, J. Comput. Phys., 10 (1972), pp. 354-368.
-
(1972)
J. Comput. Phys.
, vol.10
, pp. 354-368
-
-
Cavendish, J.C.1
Culham, W.E.2
Varga, R.S.3
-
5
-
-
0005509859
-
-x in [0, +∞ and applications to heat-conduction problems
-
-x in [0, +∞) and applications to heat-conduction problems, J. Approximation Theory, 2 (1969), pp. 50-65.
-
(1969)
J. Approximation Theory
, vol.2
, pp. 50-65
-
-
Cody, W.J.1
Meinardus, G.2
Varga, R.S.3
-
6
-
-
33749003136
-
A partial fraction decomposition approach to improved efficiency of some parabolic solvers
-
Ctr. for Supercomputing Res. Dev., University of Illinois at Urbana-Champaign, May
-
E. Gallopoulos, A partial fraction decomposition approach to improved efficiency of some parabolic solvers, Technical report 874, Ctr. for Supercomputing Res. Dev., University of Illinois at Urbana-Champaign, May 1989.
-
(1989)
Technical Report
, vol.874
-
-
Gallopoulos, E.1
-
7
-
-
85006447862
-
On the parallel solution of parabolic equations
-
Heraklion, Greece
-
E. Gallopoulos and Y. Saad, On the parallel solution of parabolic equations, Proc. 1989 ACM Internat. Conf. on Supercomputing, pp. 17-28, Heraklion, Greece, 1989.
-
(1989)
Proc. 1989 ACM Internat. Conf. on Supercomputing
, pp. 17-28
-
-
Gallopoulos, E.1
Saad, Y.2
-
8
-
-
0000269389
-
Efficient solution of parabolic equations by Krylov approximation methods
-
E. Gallopoulos and Y. Saad, Efficient solution of parabolic equations by Krylov approximation methods, SIAM J. Sci. Statist. Comput., 13 (1992), pp. 1236-1264.
-
(1992)
SIAM J. Sci. Statist. Comput.
, vol.13
, pp. 1236-1264
-
-
Gallopoulos, E.1
Saad, Y.2
-
9
-
-
85009773228
-
Exponentially convergent parallel discretization methods for the first order evolution equations
-
I. P. Gavrilyuk and V. L. Makarov, Exponentially convergent parallel discretization methods for the first order evolution equations, Comput. Meth. Appl. Math., 1 (2001), pp. 333-355.
-
(2001)
Comput. Meth. Appl. Math.
, vol.1
, pp. 333-355
-
-
Gavrilyuk, I.P.1
Makarov, V.L.2
-
10
-
-
33749034221
-
Exponentially convergent algorithms for the operator exponential with applications to inhomogeneous problems in Banach spaces
-
I. P. Gavrilyuk and V. L. Makarov, Exponentially convergent algorithms for the operator exponential with applications to inhomogeneous problems in Banach spaces, SIAM J. Numer. Anal., 43 (2005), pp. 2144-2171.
-
(2005)
SIAM J. Numer. Anal.
, vol.43
, pp. 2144-2171
-
-
Gavrilyuk, I.P.1
Makarov, V.L.2
-
11
-
-
0041375523
-
Computing special functions by using quadrature rules
-
A. Gil, J. Segura, and N. M. Temme, Computing special functions by using quadrature rules, Numer. Algorithms, 33 (2003), pp. 265-275.
-
(2003)
Numer. Algorithms
, vol.33
, pp. 265-275
-
-
Gil, A.1
Segura, J.2
Temme, N.M.3
-
12
-
-
0000805694
-
Equilibrium distributions and degree of rational approximation of analytic functions
-
A. A. Gonchar and E. A. Rakhmanov, Equilibrium distributions and degree of rational approximation of analytic functions, Mat. Sb., 134 (1987), pp. 306-352
-
(1987)
Mat. Sb.
, vol.134
, pp. 306-352
-
-
Gonchar, A.A.1
Rakhmanov, E.A.2
-
13
-
-
33749004850
-
-
English transl.
-
(English transl. in Math. USSR-Sb. 62 (1989)).
-
(1989)
Math. USSR-Sb.
, vol.62
-
-
-
15
-
-
77955611067
-
Solving reaction-diffusion equations ten times faster
-
Oxford U. Computing Lab., Oxford
-
A.-K. Kassam, Solving reaction-diffusion equations ten times faster, Numer. Anal. Rep. NA 03/16, Oxford U. Computing Lab., Oxford, 2003.
-
(2003)
Numer. Anal. Rep. NA
, vol.3
, Issue.16
-
-
Kassam, A.-K.1
-
16
-
-
22544474620
-
Fourth-order time-stepping for stiff PDE
-
A.-K. Kassam and L. N. Trefethen, Fourth-order time-stepping for stiff PDE, SIAM J. Sci. Comput., 26 (2005), pp. 1214-1233.
-
(2005)
SIAM J. Sci. Comput.
, vol.26
, pp. 1214-1233
-
-
Kassam, A.-K.1
Trefethen, L.N.2
-
17
-
-
0019299739
-
High-order near best uniform approximations to the solution of heat conduction problems
-
NorthHolland, Amsterdam
-
J. D. Lawson and D. A. Swayne, High-order near best uniform approximations to the solution of heat conduction problems, Information Processing 80, pp. 741-746, NorthHolland, Amsterdam, 1980.
-
(1980)
Information Processing
, vol.80
, pp. 741-746
-
-
Lawson, J.D.1
Swayne, D.A.2
-
18
-
-
29144518755
-
Fast Runge-Kutta approximation of inhomogeneous parabolic equations
-
M. Lopez-Fernández, C. Lubich, C. Palencia, and A. Schädle, Fast Runge-Kutta approximation of inhomogeneous parabolic equations, Numer. Math., 102 (2005), pp. 277-291.
-
(2005)
Numer. Math.
, vol.102
, pp. 277-291
-
-
Lopez-Fernández, M.1
Lubich, C.2
Palencia, C.3
Schädle, A.4
-
19
-
-
5144231600
-
On the numerical inversion of the Laplace transform in certain holomorphic mappings
-
M. Lopez-Fernández and C. Palencia, On the numerical inversion of the Laplace transform in certain holomorphic mappings, Appl. Numer. Math., 51 (2004), pp. 289-303.
-
(2004)
Appl. Numer. Math.
, vol.51
, pp. 289-303
-
-
Lopez-Fernández, M.1
Palencia, C.2
-
20
-
-
33749020865
-
A spectral order method for inverting sectorial Laplace transforms
-
M. Lopez-Fernández, C. Palencia, and A. Schädle, A spectral order method for inverting sectorial Laplace transforms, SIAM J. Numer. Anal., 44 (2006), pp. 1332-1350.
-
(2006)
SIAM J. Numer. Anal.
, vol.44
, pp. 1332-1350
-
-
Lopez-Fernández, M.1
Palencia, C.2
Schädle, A.3
-
21
-
-
0041593959
-
Exponentials of symmetric matrices through tridiagonal reductions
-
Y. Y. Lu, Exponentials of symmetric matrices through tridiagonal reductions, Linear Algebra Appl., 279 (1998), pp. 317-324.
-
(1998)
Linear Algebra Appl.
, vol.279
, pp. 317-324
-
-
Lu, Y.Y.1
-
22
-
-
0037252875
-
Fast convolution for nonreflecting boundary conditions
-
C. Lubich and A. Schädle, Fast convolution for nonreflecting boundary conditions, SIAM J. Sei. Comput., 24 (2002), pp. 161-182.
-
(2002)
SIAM J. Sei. Comput.
, vol.24
, pp. 161-182
-
-
Lubich, C.1
Schädle, A.2
-
24
-
-
0017970882
-
Error estimation in numerical inversion of Laplace transforms using Padé approximation
-
Y. L. Luke, Error estimation in numerical inversion of Laplace transforms using Padé approximation, J. Franklin Inst., 305 (1978), pp. 259-273.
-
(1978)
J. Franklin Inst.
, vol.305
, pp. 259-273
-
-
Luke, Y.L.1
-
25
-
-
0005493050
-
Asymptotics and super asymptotics of best rational approximation error norms for the exponential function (the '1/9' problem) by the Carathéodory-Fejér method
-
A. Cuyt et al., eds., Kluwer, Dordrecht
-
A. P. Magnus, Asymptotics and super asymptotics of best rational approximation error norms for the exponential function (the '1/9' problem) by the Carathéodory-Fejér method, in Nonlinear Methods and Rational Approximation, II, A. Cuyt et al., eds., pp. 173-185, Kluwer, Dordrecht, 1994.
-
(1994)
Nonlinear Methods and Rational Approximation, II
, pp. 173-185
-
-
Magnus, A.P.1
-
26
-
-
4043094113
-
Time discretization of an evolution equation via Laplace transforms
-
W. McLean and V. Thomée, Time discretization of an evolution equation via Laplace transforms, IMA J. Numer. Anal., 24 (2004), pp. 439-463.
-
(2004)
IMA J. Numer. Anal.
, vol.24
, pp. 439-463
-
-
McLean, W.1
Thomée, V.2
-
28
-
-
0037354371
-
Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later
-
C. Moler and C. Van Loan, Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later, SLAM Rev., 45 (2003), pp. 3-19.
-
(2003)
SLAM Rev.
, vol.45
, pp. 3-19
-
-
Moler, C.1
Van Loan, C.2
-
29
-
-
0015097517
-
On a numerical method for the calculation of transient responses
-
R. Piessens, On a numerical method for the calculation of transient responses, J. Franklin Inst., 292 (1971), pp. 57-64.
-
(1971)
J. Franklin Inst.
, vol.292
, pp. 57-64
-
-
Piessens, R.1
-
30
-
-
0015004194
-
Gaussian quadrature formulas for the numerical integration of Bromwich 's integral and the inversion of the Laplace transform
-
R. Piessens, Gaussian quadrature formulas for the numerical integration of Bromwich 's integral and the inversion of the Laplace transform, J. Eng. Math., 5 (1971), pp. 1-9.
-
(1971)
J. Eng. Math.
, vol.5
, pp. 1-9
-
-
Piessens, R.1
-
31
-
-
33749029945
-
Application of Padé approximations to Laplace transformation inversion
-
Russian.
-
V. M. Rjabov, Application of Padé approximations to Laplace transformation inversion, Vestn. Leningrad. Univ. Math., 2 (1970), p. 119 (Russian).
-
(1970)
Vestn. Leningrad. Univ. Math.
, vol.2
, pp. 119
-
-
Rjabov, V.M.1
-
32
-
-
33748993742
-
Properties of constants for a quadrature formula to evaluate Bromwich's integral
-
A. J. Rodrigues, Properties of constants for a quadrature formula to evaluate Bromwich's integral, J. Inst. Math. Appl., 18 (1976), pp. 49-56.
-
(1976)
J. Inst. Math. Appl.
, vol.18
, pp. 49-56
-
-
Rodrigues, A.J.1
-
34
-
-
84968499128
-
Orthogonal polynomials arising in the numerical evaluation of inverse Laplace transforms
-
H. E. Salzer, Orthogonal polynomials arising in the numerical evaluation of inverse Laplace transforms, Math. Comput., 9 (1955), p. 164-177.
-
(1955)
Math. Comput.
, vol.9
, pp. 164-177
-
-
Salzer, H.E.1
-
35
-
-
33749019496
-
Fast and oblivious convolution quadrature
-
A. Schädle, M. López-Fernández, and C. Lubich, Fast and oblivious convolution quadrature, SIAM J. Sci. Comput., 28 (2006), pp. 421-138.
-
(2006)
SIAM J. Sci. Comput.
, vol.28
, pp. 421-1138
-
-
Schädle, A.1
López-Fernández, M.2
Lubich, C.3
-
36
-
-
42649135141
-
Computing the gamma function using contour integrals and rational approximations
-
submitted
-
T. Schmelzer and L. N. Trefethen, Computing the gamma function using contour integrals and rational approximations, SIAM J. Numer. Anal., submitted.
-
SIAM J. Numer. Anal.
-
-
Schmelzer, T.1
Trefethen, L.N.2
-
38
-
-
0034407089
-
A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature
-
D. Sheen, I. H. Sloan, and V. Thomée, A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature, Math. Comput., 69 (2000), pp. 177-195.
-
(2000)
Math. Comput.
, vol.69
, pp. 177-195
-
-
Sheen, D.1
Sloan, I.H.2
Thomée, V.3
-
39
-
-
0345016412
-
A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature
-
D. Sheen, I. H. Sloan, and V. Thomée, A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature, IMA J. Numer. Anal., 23 (2003), pp. 269-299.
-
(2003)
IMA J. Numer. Anal.
, vol.23
, pp. 269-299
-
-
Sheen, D.1
Sloan, I.H.2
Thomée, V.3
-
40
-
-
0032010619
-
Expokit: A software package for computing matrix exponentials
-
R. B. Sidje, Expokit: A software package for computing matrix exponentials, ACM Trans. Math. Softw., 24 (1998), pp. 130-156.
-
(1998)
ACM Trans. Math. Softw.
, vol.24
, pp. 130-156
-
-
Sidje, R.B.1
-
42
-
-
0002152334
-
The accurate numerical inversion of Laplace transforms
-
A. Talbot, The accurate numerical inversion of Laplace transforms, J. Inst. Math. Appl., 23 (1979), pp. 97-120.
-
(1979)
J. Inst. Math. Appl.
, vol.23
, pp. 97-120
-
-
Talbot, A.1
-
44
-
-
4243317629
-
Chebyshev approximation on the unit disk
-
H. Werner et al., eds., D. Reidel Publishing, Dordrecht
-
L. N. Trefethen, Chebyshev approximation on the unit disk, in Computational Aspects of Complex Analysis, H. Werner et al., eds., pp. 309-323, D. Reidel Publishing, Dordrecht, 1983.
-
(1983)
Computational Aspects of Complex Analysis
, pp. 309-323
-
-
Trefethen, L.N.1
-
45
-
-
33749012012
-
Matlab programs for CF approximation
-
Academic Press, Boston
-
L. N. Trefethen, Matlab programs for CF approximation, in Approximation Theory V, pp. 599-602, Academic Press, Boston, 1986.
-
(1986)
Approximation Theory v
, pp. 599-602
-
-
Trefethen, L.N.1
-
46
-
-
40749154941
-
Is Gauss quadrature better than Clenshaw-Curtis?
-
submitted
-
L. N. Trefethen, Is Gauss quadrature better than Clenshaw-Curtis?, SIAM Rev., submitted.
-
SIAM Rev.
-
-
Trefethen, L.N.1
-
47
-
-
0011544931
-
The Carathéodory-Fejér method for real rational approximation
-
L. N. Trefethen and M. H. Gutknecht, The Carathéodory-Fejér method for real rational approximation, SIAM J. Numer. Anal., 20 (1983), pp. 420-436.
-
(1983)
SIAM J. Numer. Anal.
, vol.20
, pp. 420-436
-
-
Trefethen, L.N.1
Gutknecht, M.H.2
-
49
-
-
85163206922
-
On higher order stable implicit methods for solving parabolic partial differential equations
-
R. S. Varga, On higher order stable implicit methods for solving parabolic partial differential equations, J. Math. Phys., 40 (1961), pp. 220-231.
-
(1961)
J. Math. Phys.
, vol.40
, pp. 220-231
-
-
Varga, R.S.1
-
50
-
-
0014555321
-
Numerical method for transient responses of linear networks with lumped, distributed or mixed parameters
-
J. Vlach, Numerical method for transient responses of linear networks with lumped, distributed or mixed parameters, J. Franklin Inst., 288 (1969), pp. 99-113.
-
(1969)
J. Franklin Inst.
, vol.288
, pp. 99-113
-
-
Vlach, J.1
-
51
-
-
34548172888
-
Optimizing Talbot's contours for the inversion of the Laplace transform
-
to appear
-
J. A. C. Weideman, Optimizing Talbot's contours for the inversion of the Laplace transform, SIAM J. Numer. Anal., to appear.
-
SIAM J. Numer. Anal.
-
-
Weideman, J.A.C.1
-
52
-
-
34548162562
-
Parabolic and hyperbolic contours for computing the Bromwich integral
-
to appear
-
J. A. C. Weideman and L. N. Trefethen, Parabolic and hyperbolic contours for computing the Bromwich integral, Math. Comput., to appear.
-
Math. Comput.
-
-
Weideman, J.A.C.1
Trefethen, L.N.2
-
53
-
-
0016495852
-
Properties of IMN and JMN approximants and applications to numerical inversion of Laplace transforms and initial value problems
-
V. Zakian, Properties of IMN and JMN approximants and applications to numerical inversion of Laplace transforms and initial value problems, J. Math. Anal. Appl., 50 (1975), pp. 191-222.
-
(1975)
J. Math. Anal. Appl.
, vol.50
, pp. 191-222
-
-
Zakian, V.1
|