-
1
-
-
0031485921
-
Solving the system of equations arising in the discretization of some nonlinear pde's by implicit Runge-Kutta methods
-
G. D. AKRIVIS, V. A. DOUGALIS, AND O. A. KARAKASHIAN, Solving the system of equations arising in the discretization of some nonlinear pde's by implicit Runge-Kutta methods, RAIRO Modél. Math. Anal. Numér., 31 (1997), pp. 251-288.
-
(1997)
RAIRO Modél. Math. Anal. Numér.
, vol.31
, pp. 251-288
-
-
Akrivis, G.D.1
Dougalis, V.A.2
Karakashian, O.A.3
-
2
-
-
84966201439
-
Continuous finite elements in space and time for the heat equation
-
A. K. AZIZ AND P. MONK, Continuous finite elements in space and time for the heat equation, Math. Comp., 52 (1989), pp. 255-274.
-
(1989)
Math. Comp.
, vol.52
, pp. 255-274
-
-
Aziz, A.K.1
Monk, P.2
-
3
-
-
0029104726
-
Conservative, high-order numerical schemes for the generalized Korteweg-de Vries equation
-
J. L. BONA, V. A. DOUGALIS, O. A. KARAKASHIAN, AND W. R. MCKINNEY, Conservative, high-order numerical schemes for the generalized Korteweg-de Vries equation, Phil. Trans. Roy. Soc. London A, 351 (1995), pp. 107-164.
-
(1995)
Phil. Trans. Roy. Soc. London a
, vol.351
, pp. 107-164
-
-
Bona, J.L.1
Dougalis, V.A.2
Karakashian, O.A.3
Mckinney, W.R.4
-
4
-
-
38149144812
-
Continuous finite elements in space and time for the nonhomogeneous wave equation
-
L. BALES AND I. LASIECKA, Continuous finite elements in space and time for the nonhomogeneous wave equation, Comput. Math. Appl., 27 (1994), pp. 91-102.
-
(1994)
Comput. Math. Appl.
, vol.27
, pp. 91-102
-
-
Bales, L.1
Lasiecka, I.2
-
6
-
-
0040374231
-
Existence and uniqueness theorems for solutions of nonlinear boundary value problems
-
R. Finn, ed., AMS, Providence, RI
-
F. E. BROWDER, Existence and uniqueness theorems for solutions of nonlinear boundary value problems, Applications of Partial Differential Equations, R. Finn, ed., AMS, Providence, RI, 1965, pp. 24-29.
-
(1965)
Applications of Partial Differential Equations
, pp. 24-29
-
-
Browder, F.E.1
-
7
-
-
84966243417
-
2-projection onto finite element spaces
-
2-projection onto finite element spaces, Math. Comp., 48 (1987), pp. 521-532.
-
(1987)
Math. Comp.
, vol.48
, pp. 521-532
-
-
Crouzeix, M.1
Thomée, V.2
-
10
-
-
0039270375
-
A time- and space-adaptive algorithm for the linear time-dependent Schrödinger equation
-
W. DÖRFLER, A time- and space-adaptive algorithm for the linear time-dependent Schrödinger equation, Numer. Math., 73 (1996), pp. 419-448.
-
(1996)
Numer. Math.
, vol.73
, pp. 419-448
-
-
Dörfler, W.1
-
11
-
-
0002111330
-
Mesh modification for evolution equations
-
T. DUPONT, Mesh modification for evolution equations, Math. Comp., 39 (1982), pp. 85-107.
-
(1982)
Math. Comp.
, vol.39
, pp. 85-107
-
-
Dupont, T.1
-
12
-
-
0026106415
-
Adaptive finite element methods for parabolic problems I: A linear model problem
-
K. ERIKSSON AND C. JOHNSON, Adaptive finite element methods for parabolic problems I: A linear model problem, SIAM J. Numer. Anal., 28 (1991), pp. 43-77.
-
(1991)
SIAM J. Numer. Anal.
, vol.28
, pp. 43-77
-
-
Eriksson, K.1
Johnson, C.2
-
14
-
-
84904150653
-
Adaptive finite element methods for parabolic problems IV: Nonlinear problems
-
K. ERIKSSON AND C. JOHNSON, Adaptive finite element methods for parabolic problems IV: Nonlinear problems, SIAM J. Numer. Anal., 32 (1995), pp. 1729-1749.
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, pp. 1729-1749
-
-
Eriksson, K.1
Johnson, C.2
-
15
-
-
0000139680
-
Global error control for the continuous Galerkin finite element method for ordinary differential equations
-
D. ESTEP AND D. A. FRENCH, Global error control for the continuous Galerkin finite element method for ordinary differential equations, RAIRO Math. Modél. Numér. Anal., 28 (1994), pp. 815-852.
-
(1994)
RAIRO Math. Modél. Numér. Anal.
, vol.28
, pp. 815-852
-
-
Estep, D.1
French, D.A.2
-
16
-
-
0023329117
-
Analysis of a continuous finite element method for hyperbolic equations
-
R. S. FALK AND G. R. RICHTER, Analysis of a continuous finite element method for hyperbolic equations, SIAM J. Numer. Anal., 24 (1986), pp. 257-278.
-
(1986)
SIAM J. Numer. Anal.
, vol.24
, pp. 257-278
-
-
Falk, R.S.1
Richter, G.R.2
-
17
-
-
0030376796
-
A continuous space-time finite element method for the wave equation
-
D. A. FRENCH AND T. E. PETERSON, A continuous space-time finite element method for the wave equation, Math. Comp., 65 (1996), pp. 491-506.
-
(1996)
Math. Comp.
, vol.65
, pp. 491-506
-
-
French, D.A.1
Peterson, T.E.2
-
18
-
-
84968508862
-
One-step piecewise polynomial Galerkin methods for initial value problems
-
B. L. HULME, One-step piecewise polynomial Galerkin methods for initial value problems, Math. Comp., 26 (1972), pp. 415-426.
-
(1972)
Math. Comp.
, vol.26
, pp. 415-426
-
-
Hulme, B.L.1
-
19
-
-
0027578339
-
On optimal order error estimates for the nonlinear Schrödinger equation
-
O. KARAKASHIAN, G. D. AKRIVIS, AND V. A. DOUGALIS, On optimal order error estimates for the nonlinear Schrödinger equation, SIAM J. Numer. Anal., 30 (1993), pp. 377-400.
-
(1993)
SIAM J. Numer. Anal.
, vol.30
, pp. 377-400
-
-
Karakashian, O.1
Akrivis, G.D.2
Dougalis, V.A.3
-
20
-
-
0039756618
-
-
Technical Report 96-9, Dept. of Math., Univ. of Crete., Math. Comp.
-
O. KARAKASHIAN AND CH. MAKRIDAKIS, A Space Time Finite Element Method for the Nonlinear Schrödinger Equation: The Discontinuous Galerkin Method, Technical Report 96-9, Dept. of Math., Univ. of Crete., Math. Comp., 67 (1998), pp. 479-499.
-
(1998)
A Space Time Finite Element Method for the Nonlinear Schrödinger Equation: The Discontinuous Galerkin Method
, vol.67
, pp. 479-499
-
-
Karakashian, O.1
Makridakis, Ch.2
-
22
-
-
84968481060
-
Interior maximum-norm estimates for finite element methods, Part II
-
A. H. SCHATZ AND L. B. WAHLBIN, Interior maximum-norm estimates for finite element methods, Part II, Math. Comp., 64 (1995), pp. 907-928.
-
(1995)
Math. Comp.
, vol.64
, pp. 907-928
-
-
Schatz, A.H.1
Wahlbin, L.B.2
-
23
-
-
0041764781
-
The nonlinear Schrödinger equation
-
G. M. de la Penha and L. A. J. Medeiros, eds., North-Holland, Amsterdam
-
W. A. STRAUSS, The nonlinear Schrödinger equation, in Contemporary Developments in Continuum Mechanics and P.D.E.'s, G. M. de la Penha and L. A. J. Medeiros, eds., North-Holland, Amsterdam, 1978, pp. 452-465.
-
(1978)
Contemporary Developments in Continuum Mechanics and P.D.E.'s
, pp. 452-465
-
-
Strauss, W.A.1
-
24
-
-
0003208045
-
Galerkin Finite Element Methods for Parabolic Problems
-
Springer-Verlag, Berlin
-
V. THOMÉE, Galerkin Finite Element Methods for Parabolic Problems, Lecture Notes in Math., 1054, Springer-Verlag, Berlin, 1984.
-
(1984)
Lecture Notes in Math.
, vol.1054
-
-
Thomée, V.1
|