-
1
-
-
34248218503
-
Newton-homotopy analysis method for nonlinear equations
-
Abbasbandy, S., Tan, Y., Liao, S. J.: Newton-homotopy analysis method for nonlinear equations. Appl. Math. Comput. 188(2), 1794-1800 (2007).
-
(2007)
Appl. Math. Comput.
, vol.188
, Issue.2
, pp. 1794-1800
-
-
Abbasbandy, S.1
Tan, Y.2
Liao, S.J.3
-
2
-
-
19644394865
-
On the analytic solutions of the nonhomogeneous Blasius problem
-
Allan, F. M., Syam, M. I.: On the analytic solutions of the nonhomogeneous Blasius problem. J. Comput. Appl. Math. 182(2), 362-371 (2005).
-
(2005)
J. Comput. Appl. Math.
, vol.182
, Issue.2
, pp. 362-371
-
-
Allan, F.M.1
Syam, M.I.2
-
3
-
-
46049114641
-
Adaptive multiprecision path tracking
-
Bates, D. J., Hauenstein, J. D., Sommese, A. J., Wampler, C. W.: Adaptive multiprecision path tracking. SIAM J. Numer. Anal. 46(2), 722-746 (2008).
-
(2008)
SIAM J. Numer. Anal.
, vol.46
, Issue.2
, pp. 722-746
-
-
Bates, D.J.1
Hauenstein, J.D.2
Sommese, A.J.3
Wampler, C.W.4
-
4
-
-
84966216764
-
Finding zeros of maps: Homotopy methods that are constructive with probability one
-
Chow, S. N., Mallet-Paret, J., Yorke, J. A.: Finding zeros of maps: homotopy methods that are constructive with probability one. Math. Comput. 32, 887-899 (1978).
-
(1978)
Math. Comput.
, vol.32
, pp. 887-899
-
-
Chow, S.N.1
Mallet-Paret, J.2
Yorke, J.A.3
-
5
-
-
33846968782
-
Construction of Newton-like iteration methods for solving nonlinear equations
-
Chun, C.: Construction of Newton-like iteration methods for solving nonlinear equations. Numer. Math. 104(3), 297-315 (2006).
-
(2006)
Numer. Math.
, vol.104
, Issue.3
, pp. 297-315
-
-
Chun, C.1
-
6
-
-
0001261109
-
Convergence rates for Newton's method at singular points
-
Decker, D. W., Keller, H. B., Kelley, C. T.: Convergence rates for Newton's method at singular points. SIAM J. Numer. Anal. 20(2), 296-314 (1983).
-
(1983)
SIAM J. Numer. Anal.
, vol.20
, Issue.2
, pp. 296-314
-
-
Decker, D.W.1
Keller, H.B.2
Kelley, C.T.3
-
7
-
-
33845432502
-
On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder
-
Hayat, T., Sajid, M.: On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder. Phys. Lett., A 361(4-5), 316-322 (2007).
-
(2007)
Phys. Lett., A
, vol.361
, Issue.4-5
, pp. 316-322
-
-
Hayat, T.1
Sajid, M.2
-
9
-
-
0035995563
-
The curious history of Faà di Bruno's formula
-
Johnson, W. P.: The curious history of Faà di Bruno's formula. Am. Math. Mon. 109(3), 217-234 (2002).
-
(2002)
Am. Math. Mon.
, vol.109
, Issue.3
, pp. 217-234
-
-
Johnson, W.P.1
-
10
-
-
33746348355
-
Newton's method with deflation for isolated singularities of polynomial systems
-
Leykin, A., Verschelde, J., Zhao, A.: Newton's method with deflation for isolated singularities of polynomial systems. Theor. Comp. Sci. 359(1-3), 111-122 (2006).
-
(2006)
Theor. Comp. Sci.
, vol.359
, Issue.1-3
, pp. 111-122
-
-
Leykin, A.1
Verschelde, J.2
Zhao, A.3
-
12
-
-
0141961626
-
On the homotopy analysis method for nonlinear problems
-
Liao, S. J.: On the homotopy analysis method for nonlinear problems. Appl. Math. Comput. 147(2), 499-513 (2004).
-
(2004)
Appl. Math. Comput.
, vol.147
, Issue.2
, pp. 499-513
-
-
Liao, S.J.1
-
13
-
-
0037170485
-
Analytic solutions of the temperature distribution in Blasius viscous flow problems
-
Liao, S. J., Campo, A.: Analytic solutions of the temperature distribution in Blasius viscous flow problems. J. Fluid Mech. 453, 411-425 (2002).
-
(2002)
J. Fluid Mech.
, vol.453
, pp. 411-425
-
-
Liao, S.J.1
Campo, A.2
-
14
-
-
34848900880
-
A general approach to obtain series solutions of nonlinear differential equations
-
Liao, S. J., Tan, Y.: A general approach to obtain series solutions of nonlinear differential equations. Stud. Appl. Math. 119(4), 297-354 (2007).
-
(2007)
Stud. Appl. Math.
, vol.119
, Issue.4
, pp. 297-354
-
-
Liao, S.J.1
Tan, Y.2
-
15
-
-
0001733264
-
A homotopy for solving general polynomial systems that respects m-homogeneous structures
-
Mogan, A. P., Sommese, A. J.: A homotopy for solving general polynomial systems that respects m-homogeneous structures. Appl. Math. Comput. 24(2), 101-113 (1987).
-
(1987)
Appl. Math. Comput.
, vol.24
, Issue.2
, pp. 101-113
-
-
Mogan, A.P.1
Sommese, A.J.2
-
16
-
-
33846609124
-
Generation of root finding algorithms via perturbation theory and some formulas
-
Pakdemirli, M., Boyac, H.: Generation of root finding algorithms via perturbation theory and some formulas. Appl. Math. Comput. 184(2), 783-788 (2007).
-
(2007)
Appl. Math. Comput.
, vol.184
, Issue.2
, pp. 783-788
-
-
Pakdemirli, M.1
Boyac, H.2
-
17
-
-
84960552988
-
Second complément à l'analysis situs
-
Poincaré, H.: Second complément à l'analysis situs. Proc. Lond. Math. Soc. 32(1), 277-308 (1900).
-
(1900)
Proc. Lond. Math. Soc.
, vol.32
, Issue.1
, pp. 277-308
-
-
Poincaré, H.1
-
18
-
-
63349086743
-
Convergence of a generalized Newton and an inexact generalized Newton algorithms for solving nonlinear equations with nondifferentiable terms
-
Śmietański, M. J.: Convergence of a generalized Newton and an inexact generalized Newton algorithms for solving nonlinear equations with nondifferentiable terms. Numer. Algorithms 50(4), 401-415 (2009).
-
(2009)
Numer. Algorithms
, vol.50
, Issue.4
, pp. 401-415
-
-
Śmietański, M.J.1
-
20
-
-
0007547107
-
Solving finite difference approximations to nonlinear two-point boundary value problems by a homotopy method
-
Watson, L. T.: Solving finite difference approximations to nonlinear two-point boundary value problems by a homotopy method. SIAM J. Sci. Statist. Comput. 1(4), 467-480 (1980).
-
(1980)
SIAM J. Sci. Statist. Comput.
, vol.1
, Issue.4
, pp. 467-480
-
-
Watson, L.T.1
-
21
-
-
0026908926
-
Nonlinear homotopies for solving deficient polynomial system with parameter
-
Wang, X., Li, T. Y.: Nonlinear homotopies for solving deficient polynomial system with parameter. SIAM J. Numer. Anal. 29(4), 1104-1118 (1992).
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, Issue.4
, pp. 1104-1118
-
-
Wang, X.1
Li, T.Y.2
-
22
-
-
48749083737
-
Explicit solution to the exact Riemann problem and application in nonlinear shallow-water equations
-
Wu, Y. Y., Cheung, K. F.: Explicit solution to the exact Riemann problem and application in nonlinear shallow-water equations. Int. J. Numer. Methods Fluids 57(11), 1649-1668 (2008).
-
(2008)
Int. J. Numer. Methods Fluids
, vol.57
, Issue.11
, pp. 1649-1668
-
-
Wu, Y.Y.1
Cheung, K.F.2
-
23
-
-
56549099578
-
Homotopy solution for nonlinear differential equations in wave propagation problems
-
Wu, Y. Y., Cheung, K. F.: Homotopy solution for nonlinear differential equations in wave propagation problems. Wave Motion 46(1), 1-14 (2009).
-
(2009)
Wave Motion
, vol.46
, Issue.1
, pp. 1-14
-
-
Wu, Y.Y.1
Cheung, K.F.2
-
24
-
-
0029535607
-
Historical development of the Newton-Raphson method
-
Ypma, T. J.: Historical development of the Newton-Raphson method. SIAM Rev. 37(4), 531-551 (1995).
-
(1995)
SIAM Rev.
, vol.37
, Issue.4
, pp. 531-551
-
-
Ypma, T.J.1
-
25
-
-
33744970924
-
An exact and explicit solution for the valuation of American put options
-
Zhu, S. P.: An exact and explicit solution for the valuation of American put options. Quant. Finan. 6(3), 229-242 (2006).
-
(2006)
Quant. Finan.
, vol.6
, Issue.3
, pp. 229-242
-
-
Zhu, S.P.1
|