-
1
-
-
0021416222
-
On the convergence of some interval-arithmetic modifications of Newton's method
-
Alefeld, G.: On the convergence of some interval-arithmetic modifications of Newton's method. SIAM J. Numer. Anal. 21, 363-372 (1984).
-
(1984)
SIAM J. Numer. Anal.
, vol.21
, pp. 363-372
-
-
Alefeld, G.1
-
2
-
-
0033154252
-
An approach to the numerical verification of solutions for nonlinear elliptic problems with local uniqueness
-
Nagatou, K., Yamamoto, N., Nakao, M. T.: An approach to the numerical verification of solutions for nonlinear elliptic problems with local uniqueness. Numer. Funct. Anal. Optimiz. 20, 543-565 (1999).
-
(1999)
Numer. Funct. Anal. Optimiz.
, vol.20
, pp. 543-565
-
-
Nagatou, K.1
Yamamoto, N.2
Nakao, M.T.3
-
3
-
-
0002301249
-
A numerical approach to the proof of existence of solutions for elliptic problems
-
Nakao, M. T.: A numerical approach to the proof of existence of solutions for elliptic problems. Japan J. Appl. Math. 5, 313-332 (1988).
-
(1988)
Japan J. Appl. Math.
, vol.5
, pp. 313-332
-
-
Nakao, M.T.1
-
4
-
-
0001452218
-
-1 residual iteration
-
-1 residual iteration. Computing Suppl. 9, 161-173 (1993).
-
(1993)
Computing Suppl.
, vol.9
, pp. 161-173
-
-
Nakao, M.T.1
-
6
-
-
0035326665
-
Numerical verification methods for solutions of ordinary and partial differential equations
-
Nakao, M. T.: Numerical verification methods for solutions of ordinary and partial differential equations. Numer. Funct. Anal. Optimiz. 22(3-4), 321-356 (2001).
-
(2001)
Numer. Funct. Anal. Optimiz.
, vol.22
, Issue.3-4
, pp. 321-356
-
-
Nakao, M.T.1
-
7
-
-
10044260069
-
An efficient approach to the numerical verification for solutions of elliptic differential equations
-
Special issue for Proc SCAN 2002
-
Nakao, M. T., Watanabe, Y.: An efficient approach to the numerical verification for solutions of elliptic differential equations. Numer. Algorith. 37 (Special issue for Proc SCAN 2002), 311-323 (2004).
-
(2004)
Numer. Algorith.
, vol.37
, pp. 311-323
-
-
Nakao, M.T.1
Watanabe, Y.2
-
8
-
-
38249011950
-
2-estimates and pointwise bounds for solutions of second-order elliptic boundary value problems
-
2-estimates and pointwise bounds for solutions of second-order elliptic boundary value problems. J. Math. Anal. Appl. 165, 36-61 (1992).
-
(1992)
J. Math. Anal. Appl.
, vol.165
, pp. 36-61
-
-
Plum, M.1
-
9
-
-
0001810506
-
Numerical existence proofs and explicit bounds for solutions of nonlinear elliptic boundary value problems
-
Plum, M.: Numerical existence proofs and explicit bounds for solutions of nonlinear elliptic boundary value problems. Computing 49, 25-44 (1992).
-
(1992)
Computing
, vol.49
, pp. 25-44
-
-
Plum, M.1
-
10
-
-
0035587860
-
Computer-assisted enclosure methods for elliptic differential equations
-
Plum, M.: Computer-assisted enclosure methods for elliptic differential equations. J. Linear Algebra Appl. 527, 147-187 (2001).
-
(2001)
J. Linear Algebra Appl.
, vol.527
, pp. 147-187
-
-
Plum, M.1
-
12
-
-
0003119522
-
Solving algebraic problems with high accuracy
-
(Kulisch, U., and Miranker, W L., eds.). New York: Academic Press
-
Rump, S. M.: Solving algebraic problems with high accuracy. In: A new approach to scientific computation (Kulisch, U., and Miranker, W L., eds.). New York: Academic Press 1983.
-
(1983)
A New Approach to Scientific Computation
-
-
Rump, S.M.1
-
13
-
-
0000566179
-
Numerical verifications for solutions to elliptic equations using residual iterations with higher order finite element
-
Yamamoto, N., Nakao, M. T.: Numerical verifications for solutions to elliptic equations using residual iterations with higher order finite element. J. Comput. Appl. Math. 60, 271-279 (1995).
-
(1995)
J. Comput. Appl. Math.
, vol.60
, pp. 271-279
-
-
Yamamoto, N.1
Nakao, M.T.2
-
14
-
-
0001703350
-
A numerical verification method for solutions of boundary value problems with local uniqueness by Banach's fixed point theorem
-
Yamamoto, N.: A numerical verification method for solutions of boundary value problems with local uniqueness by Banach's fixed point theorem. SIAM J. Numer. Anal. 35, 2004-2013 (1998).
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 2004-2013
-
-
Yamamoto, N.1
|