-
1
-
-
0007366030
-
About Sinc-approximations
-
K. Bowers and J. Lund, eds., Birkhäuser, Basel, Switzerland
-
F. STENGER, B. BARKEY, AND R. VAKILI, About Sinc-approximations, in Proceedings of Computation and Control III, K. Bowers and J. Lund, eds., Birkhäuser, Basel, Switzerland, 1993.
-
(1993)
Proceedings of Computation and Control III
-
-
Stenger, F.1
Barkey, B.2
Vakili, R.3
-
2
-
-
33750165194
-
Representation and approximation of the solution of an initial value problem for a first order differential equation with an unbounded operator coefficient in Hilbert space based on the Cayley transform
-
Progress in Partial Differential Equations, C. Bandle et al., eds., C. Bandle et al., eds., Pitman, Boston
-
D. Z. AROV, I. P. GAVRILYUK, AND V. L. MAKAROV, Representation and approximation of the solution of an initial value problem for a first order differential equation with an unbounded operator coefficient in Hilbert space based on the Cayley transform, in Progress in Partial Differential Equations, C. Bandle et al., eds., Pitman Res. Notes Math. Sci. 1, C. Bandle et al., eds., Pitman, Boston, 1994, pp. 40-50.
-
(1994)
Pitman Res. Notes Math. Sci.
, vol.1
, pp. 40-50
-
-
Arov, D.Z.1
Gavrilyuk, I.P.2
Makarov, V.L.3
-
4
-
-
33750162427
-
Stability estimates for a general discretization method
-
N. YU. BAKAEV, Stability estimates for a general discretization method, Soviet Math. Dokl., 40 (1990), pp. 11-15.
-
(1990)
Soviet Math. Dokl.
, vol.40
, pp. 11-15
-
-
Bakaev, N.Yu.1
-
5
-
-
0042333263
-
Maximum norm resolvent estimates for elliptic finite element operators
-
N. YU. BAKAEV, Maximum norm resolvent estimates for elliptic finite element operators, BIT, 41 (2001), pp. 215-239.
-
(2001)
BIT
, vol.41
, pp. 215-239
-
-
Bakaev, N.Yu.1
-
6
-
-
0032296181
-
Long time behaviour of backward difference type methods for parabolic equations with memory in Banach space
-
N. YU. BAKAEV, S. LARSSON, AND V. THOMÉE, Long time behaviour of backward difference type methods for parabolic equations with memory in Banach space, Numer. Math., 6 (1998), pp. 185-206.
-
(1998)
Numer. Math.
, vol.6
, pp. 185-206
-
-
Bakaev, N.Yu.1
Larsson, S.2
Thomée, V.3
-
7
-
-
0036790312
-
Long time stability of variable stepsize approximations of semigroups
-
N. YU. BAKAEV AND A. OSTERMANN, Long time stability of variable stepsize approximations of semigroups, Math. Comp., 71 (2002), pp. 1575-1567.
-
(2002)
Math. Comp.
, vol.71
, pp. 1575-11567
-
-
Bakaev, N.Yu.1
Ostermann, A.2
-
8
-
-
0038584388
-
Über die asymptotische Verteilung der eigenwerte partieller differentialgleichungen
-
T. CARLEMAN, Über die asymptotische Verteilung der eigenwerte partieller differentialgleichungen, Ber. der Sächs. Akad. Wiss. Leipzig, Math.-Nat. Kl., 88 (1936), pp. 119-132.
-
(1936)
Ber. der Sächs. Akad. Wiss. Leipzig, Math.-nat. Kl.
, vol.88
, pp. 119-132
-
-
Carleman, T.1
-
9
-
-
0001853829
-
The stability of rational approximations of analytic semigroups
-
M. CROUZEIX, S. LARSSON, S. PISKAREV, AND V. THOMÉE, The stability of rational approximations of analytic semigroups, BIT, 33 (1993), pp. 74-84.
-
(1993)
BIT
, vol.33
, pp. 74-84
-
-
Crouzeix, M.1
Larsson, S.2
Piskarev, S.3
Thomée, V.4
-
10
-
-
0141867960
-
-
Elsevier, Heidelberg
-
H. FUJITA, N. SAITO, AND T. SUZUKI, Operator Theory and Numerical Methods, Elsevier, Heidelberg, 2001.
-
(2001)
Operator Theory and Numerical Methods
-
-
Fujita, H.1
Saito, N.2
Suzuki, T.3
-
11
-
-
0001094238
-
Strongly P-positive operators and explicit representation of the solutions of initial value problems for second order differential equations in Banach space
-
I. P. GAVRILYUK, Strongly P-positive operators and explicit representation of the solutions of initial value problems for second order differential equations in Banach space, J. Math. Anal. Appl., 236 (1999), pp. 327-349.
-
(1999)
J. Math. Anal. Appl.
, vol.236
, pp. 327-349
-
-
Gavrilyuk, I.P.1
-
12
-
-
0036022621
-
H-matrix approximation for the operator exponential with applications
-
I. P. GAVRILYUK, W. HACKBUSCH, AND B. N. KHOROMSKIJ, H-matrix approximation for the operator exponential with applications, Numer. Math., 92 (2002), pp. 83-111.
-
(2002)
Numer. Math.
, vol.92
, pp. 83-111
-
-
Gavrilyuk, I.P.1
Hackbusch, W.2
Khoromskij, B.N.3
-
13
-
-
2942644816
-
Data-sparse approximation to the operator-valued functions of elliptic operator
-
I. P. GAVRILYUK, W. HACKBUSCH, AND B. N. KHOROMSKIJ, Data-sparse approximation to the operator-valued functions of elliptic operator, Math. Comp., 73 (2004), pp. 1297-1324.
-
(2004)
Math. Comp.
, vol.73
, pp. 1297-1324
-
-
Gavrilyuk, I.P.1
Hackbusch, W.2
Khoromskij, B.N.3
-
14
-
-
17144410769
-
Tensor-product approximation to elliptic and parabolic solution operators in higher dimensions
-
I. P. GAVRILYUK, W. HACKBUSCH, AND B. N. KHOROMSKIJ, Tensor-product approximation to elliptic and parabolic solution operators in higher dimensions, Computing, 74 (2005), pp. 131-157.
-
(2005)
Computing
, vol.74
, pp. 131-157
-
-
Gavrilyuk, I.P.1
Hackbusch, W.2
Khoromskij, B.N.3
-
15
-
-
14944359407
-
Data-sparse approximation of a class of operator-valued functions
-
I. P. GAVRILYUK, W. HACKBUSCH, AND B. N. KHOROMSKIJ, Data-sparse approximation of a class of operator-valued functions, Math. Comp., 74 (2005), pp. 681-708.
-
(2005)
Math. Comp.
, vol.74
, pp. 681-708
-
-
Gavrilyuk, I.P.1
Hackbusch, W.2
Khoromskij, B.N.3
-
16
-
-
0042113929
-
The Cayley transform and the solution of an initial value problem for a first order differential equation with an unbounded operator coefficient in Hilbert space
-
I. P. GAVRILYUK AND V. L. MAKAROV, The Cayley transform and the solution of an initial value problem for a first order differential equation with an unbounded operator coefficient in Hilbert space, Numer. Funct. Anal. Opt im., 15 (1994), pp. 583-598.
-
(1994)
Numer. Funct. Anal. Opt Im.
, vol.15
, pp. 583-598
-
-
Gavrilyuk, I.P.1
Makarov, V.L.2
-
17
-
-
21344446470
-
Representation and approximation of the solution of an initial value problem for a first order differential equation in Banach space
-
I. P. GAVRILYUK AND V. L. MAKAROV, Representation and approximation of the solution of an initial value problem for a first order differential equation in Banach space, Z. Anal. Anwendungen, 15 (1996), pp. 495-527.
-
(1996)
Z. Anal. Anwendungen
, vol.15
, pp. 495-527
-
-
Gavrilyuk, I.P.1
Makarov, V.L.2
-
18
-
-
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. Methods Appl. Math., 1 (2001), pp. 333-355.
-
(2001)
Comput. Methods Appl. Math.
, vol.1
, pp. 333-355
-
-
Gavrilyuk, I.P.1
Makarov, V.L.2
-
19
-
-
33750156255
-
Exponentially convergent parallel discretization methods for the first order differential equations
-
I. P. GAVRILYUK AND V. L. MAKAROV, Exponentially convergent parallel discretization methods for the first order differential equations, Dokl. Ukrainian Acad. Sci., (2002), pp. 1-6.
-
(2002)
Dokl. Ukrainian Acad. Sci.
, pp. 1-6
-
-
Gavrilyuk, I.P.1
Makarov, V.L.2
-
20
-
-
33750154383
-
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, Jenaer Schriften zur Mathematik und Informatik, FSU Jena, 4 (2004), pp. 1-34 (available online at http://www.minet.uni-jena.de/Math-Net/ reports/).
-
(2004)
Jenaer Schriften zur Mathematik und Informatik, FSU Jena
, vol.4
, pp. 1-34
-
-
Gavrilyuk, I.P.1
Makarov, V.L.2
-
21
-
-
14944374194
-
Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces
-
I. P. GAVRILYUK AND V. L. MAKAROV, Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces, Math. Comp., 74 (2005), pp. 555-583.
-
(2005)
Math. Comp.
, vol.74
, pp. 555-583
-
-
Gavrilyuk, I.P.1
Makarov, V.L.2
-
22
-
-
0004603920
-
An explicit boundary integral representation of the solution of the two-dimensional heat equation and its discretization
-
I. P. GAVRILYUK AND V. L. MAKAROV, An explicit boundary integral representation of the solution of the two-dimensional heat equation and its discretization, J. Integral Equations Appl., 12 (2000), pp. 63-83.
-
(2000)
J. Integral Equations Appl.
, vol.12
, pp. 63-83
-
-
Gavrilyuk, I.P.1
Makarov, V.L.2
-
23
-
-
85009797196
-
A new estimate of the sinc method for linear parabolic problems including the initial point
-
I. P. GAVRILYUK, V. L. MAKAROV, AND V. VASYLYK, A new estimate of the sinc method for linear parabolic problems including the initial point, Comput. Methods Appl. Math., 4 (2004), pp. 1-27.
-
(2004)
Comput. Methods Appl. Math.
, vol.4
, pp. 1-27
-
-
Gavrilyuk, I.P.1
Makarov, V.L.2
Vasylyk, V.3
-
24
-
-
0009084553
-
Stability of time-stepping methods for abstract time-dependent parabolic problems
-
C. GONZÁLEZ AND C. PALENCIA, Stability of time-stepping methods for abstract time-dependent parabolic problems, SIAM J. Numer. Anal., 35 (1998), pp. 973-989.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 973-989
-
-
González, C.1
Palencia, C.2
-
25
-
-
0039756624
-
Stability of Runge-Kutta methods for abstract time-dependent parabolic problems: The Hölder case
-
C. GONZALEZ AND C. PALENCIA, Stability of Runge-Kutta methods for abstract time-dependent parabolic problems: The Hölder case, Math. Comp., 68 (1996), pp. 73-89.
-
(1996)
Math. Comp.
, vol.68
, pp. 73-89
-
-
Gonzalez, C.1
Palencia, C.2
-
26
-
-
33750198578
-
Approximation of abstract differential equations
-
Moscow State University, Moscow, and http://www.srcc.msu.su/nivc/english/ about/home_pages/piskarev/obzlen.pdf
-
D. GUIDETTI, B. KARASOZEN, AND S. I. PISKAREV, Approximation of Abstract Differential Equations, Technical report, Moscow State University, Moscow, 2003; also available at http://malserv.mathematik.uni-karlsruhe.de/evolve-l/index. html and http://www.srcc.msu.su/nivc/english/about/home_pages/piskarev/obzlen. pdf.
-
(2003)
Technical Report
-
-
Guidetti, D.1
Karasozen, B.2
Piskarev, S.I.3
-
27
-
-
0038776015
-
Fractional powers of operators acting in Banach spaces
-
in Russian
-
M. A. KRASNOSEL'SKIJ AND P. E. SOBOLEVSKIJ, fractional powers of operators acting in Banach spaces, Dokl. Akad. Nauk, 129 (1959), pp. 499-502 (in Russian).
-
(1959)
Dokl. Akad. Nauk
, vol.129
, pp. 499-502
-
-
Krasnosel'skij, M.A.1
Sobolevskij, P.E.2
-
28
-
-
0000957952
-
Maximum norm analysis of completely discrete finite element methods for parabolic problems
-
C. PALENCIA, Maximum norm analysis of completely discrete finite element methods for parabolic problems, SIAM J. Numer. Anal., 33 (1996), pp. 1654-1668.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 1654-1668
-
-
Palencia, C.1
-
29
-
-
0003686033
-
-
Springer-Verlag, New York, Berlin, Heidelberg
-
A. PAZY, Semigroups of Linear Operator and Applications to Partial Differential Equations, Springer-Verlag, New York, Berlin, Heidelberg, 1983.
-
(1983)
Semigroups of Linear Operator and Applications to Partial Differential Equations
-
-
Pazy, A.1
-
30
-
-
0012229527
-
Error estimates in the approximation of semigroups of operators by Padé fractions
-
in Russian
-
S. I. PISKAREV, Error estimates in the approximation of semigroups of operators by Padé fractions, Izv. Vyssh. Uchebn. Zaved. Mat., 4 (1979), pp. 33-38 (in Russian).
-
(1979)
Izv. Vyssh. Uchebn. Zaved. Mat.
, vol.4
, pp. 33-38
-
-
Piskarev, S.I.1
-
31
-
-
0042884422
-
Stability and regularization of three-level difference schemes with unbounded operator coefficients in Banach spaces
-
A. A. SAMARSKII, I. P. GAVRILYUK, AND V. L. MAKAHOV, Stability and regularization of three-level difference schemes with unbounded operator coefficients in Banach spaces, SIAM J. Numer. Anal., 39 (2001), pp. 708-723.
-
(2001)
SIAM J. Numer. Anal.
, vol.39
, pp. 708-723
-
-
Samarskii, A.A.1
Gavrilyuk, I.P.2
Makahov, V.L.3
-
32
-
-
0032358996
-
Stability, analyticity and almost best approximation in maximum norm for parabolic finite element equations
-
A. H. SCHATZ, V. THOMÉE, AND L. B. WAHLBIN, Stability, analyticity and almost best approximation in maximum norm for parabolic finite element equations, Comm. Pure Appl. Math., 51 (1998), pp. 1349-1385.
-
(1998)
Comm. Pure Appl. Math.
, vol.51
, pp. 1349-1385
-
-
Schatz, A.H.1
Thomée, V.2
Wahlbin, L.B.3
-
33
-
-
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. Comp., 69 (2000), pp. 177-195.
-
(2000)
Math. Comp.
, vol.69
, pp. 177-195
-
-
Sheen, D.1
Sloan, I.H.2
Thomée, V.3
-
34
-
-
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
-
35
-
-
0347429939
-
Application of the semi-group theory to investigation of differential equations in Banach spaces
-
in Russian
-
M. Z. SOLOMJAK, Application of the semi-group theory to investigation of differential equations in Banach spaces, Dokl. Akad. Nauk, 122 (1958), pp. 766-769 (in Russian).
-
(1958)
Dokl. Akad. Nauk
, vol.122
, pp. 766-769
-
-
Solomjak, M.Z.1
-
36
-
-
0003837931
-
-
Springer-Verlag, New York, Berlin, Heidelberg
-
F. STENGER, Numerical Methods Based on Sine and Analytic Functions, Springer-Verlag, New York, Berlin, Heidelberg, 1993.
-
(1993)
Numerical Methods Based on Sine and Analytic Functions
-
-
Stenger, F.1
-
37
-
-
84968480558
-
Collocating convolutions
-
F. STENGER, Collocating convolutions. Math. Comp., 64 (1995), pp. 211-235.
-
(1995)
Math. Comp.
, vol.64
, pp. 211-235
-
-
Stenger, F.1
-
42
-
-
33750176808
-
Uniform exponentially convergent method for the first order evolution equation with unbounded operator coefficient
-
in Russian
-
V. VASYLYK, Uniform exponentially convergent method for the first order evolution equation with unbounded operator coefficient, J. Numer. Appl. Math., 1 (2003), pp. 99-104 (in Russian).
-
(2003)
J. Numer. Appl. Math.
, vol.1
, pp. 99-104
-
-
Vasylyk, V.1
|