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Generating author description...
All published works
Action
Title
Year
Authors
+
Convergence and dynamics of structurally identical root finding methods
2017
Mário Basto
Teresa Abreu
Viriato Semião
Francisco Calheiros
+
Contrasts in the basins of attraction of structurally identical iterative root finding methods
2013
Mário Basto
L.P. Basto
Viriato Semião
Francisco Calheiros
+
Determination of microchannels geometric parameters using micro-PIV
2008
Gonçalo Silva
Nuno Leal
Viriato Semião
+
Numerical study of modified Adomian's method applied to Burgers equation
2007
Mário Basto
Viriato Semião
Francisco Calheiros
+
Dynamics in spectral solutions of Burgers equation
2006
Mário Basto
Viriato Semião
Francisco Calheiros
+
A new iterative method to compute nonlinear equations
2005
Mário Basto
Viriato Semião
Francisco Calheiros
+
A consistent-splitting approach to computing stiff steady-state reacting flows with adaptive chemistry
2003
Douglas Schwer
Pisi Lu
William H. Green
Viriato Semião
+
A new approximate phase function for isolated particles and polydispersions
2001
Miguel Caldas
Viriato Semião
Common Coauthors
Coauthor
Papers Together
Francisco Calheiros
5
Mário Basto
5
L.P. Basto
1
William H. Green
1
Douglas Schwer
1
Teresa Abreu
1
Gonçalo Silva
1
Pisi Lu
1
Miguel Caldas
1
Nuno Leal
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
Solving Frontier Problems of Physics: The Decomposition Method
1994
George Adomian
4
+
Improving Newton–Raphson method for nonlinear equations by modified Adomian decomposition method
2003
S. Abbasbandy
4
+
Solution of nonlinear equations by modified adomian decomposition method
2002
E. Babolian
Jafar Biazar
4
+
A new iterative method to compute nonlinear equations
2005
Mário Basto
Viriato Semião
Francisco Calheiros
3
+
On the order of convergence of Adomian method
2002
E. Babolian
Jafar Biazar
3
+
The decomposition method applied to the Cauchy problem
1999
K. Abbaoui
Y. Cherruault
2
+
PDF
Chat
Basins of attraction for several methods to find simple roots of nonlinear equations
2012
Beny Neta
Melvin R. Scott
Changbum Chun
2
+
New ideas for proving convergence of decomposition methods
1995
K. Abbaoui
Y. Cherruault
2
+
Newton's method and complex dynamical systems
1988
Fritz von Haeseler
Heinz‐Otto Peitgen
2
+
PDF
Chat
On optimal fourth-order iterative methods free from second derivative and their dynamics
2012
Changbum Chun
Mi Young Lee
Beny Neta
Jovana Džunić
2
+
Dynamics of the King and Jarratt iterations
2005
Sergio Amat
Sonia Busquier
Sergio Plaza
2
+
Practical formulae for the calculus of multivariable adomian polynomials
1995
K. Abbaoui
Y. Cherruault
Virginie Seng
2
+
Review of some iterative root-finding methods from a dynamical point of view
2004
Sergio Amat
Sonia Busquier
Sergio Plaza
2
+
A new iterative method for solving nonlinear equations
2006
Changbum Chun
2
+
Multipoint Methods for Solving Nonlinear Equations
2012
Miodrag S. Petković
Beny Neta
Ljiljana D. Petković
Jovana Džunić
2
+
Convergence of Adomian's method applied to differential equations
1994
K. Abbaoui
Y. Cherruault
2
+
Decomposition methods: A new proof of convergence
1993
Y. Cherruault
G. Adomian
2
+
The partial differential equation u<sub>t</sub> + uu<sub>x</sub> = μ<sub>xx</sub>
1950
Eberhard Hopf
2
+
The theoretical foundation of the Adomian method
1994
Lionel Gabet
2
+
Further remarks on convergence of decomposition method
1995
Y. Cherruault
G. Adomian
K. Abbaoui
Randolph Rach
2
+
Convergence of Adomian’s method applied to integral equations
1999
Toufik Badredine
K. Abbaoui
Y. Cherruault
2
+
Nonlinear Stochastic Operator Equations
1986
2
+
Convergence of Adomian’s method applied to algebraic equations
2000
Raphael Ouedraogo
Y. Cherruault
K. Abbaoui
2
+
Convergence of Adomian's Method
1989
Y. Cherruault
2
+
PDF
Chat
Basin attractors for various methods for multiple roots
2011
Beny Neta
Melvin R. Scott
Changbum Chun
2
+
Convergence of Adomian's method applied to nonlinear equations
1994
K. Abbaoui
Y. Cherruault
2
+
Iterative Methods for the Solution of Equations.
1967
David M. Young
J. F. Traub
2
+
An algorithm for Adomian decomposition method
2003
Wenhai Chen
Zheng-Yi Lu
2
+
PDF
Chat
Basin attractors for various methods
2011
Melvin R. Scott
Beny Neta
Changbum Chun
2
+
Explicit solutions of nonlinear partial differential equations
1997
G. Adomian
2
+
Newton’s Method and Complex Dynamical Systems
1988
Fritz von Haeseler
Heinz‐Otto Peitgen
2
+
A new approach to nonlinear partial differential equations
1984
G. Adomian
2
+
Nonlinear Stochastic Operator Equations
1986
George Adomian
2
+
New results for convergence of Adomian's method applied to integral equations
1992
Y. Cherruault
Giuseppe Saccomandi
Blaise Somé
2
+
A comparison between Adomian decomposition method and Taylor series method in the series solutions
1998
Abdul‐Majid Wazwaz
1
+
A new approach to nonlinear partial differential equations
1997
Ji‐Huan He
1
+
PDF
Chat
On the development of iterative methods for multiple roots
2013
Beny Neta
Changbum Chun
Melvin R. Scott
1
+
An application for a generalized KdV equation by the decomposition method
2002
Doǧan Kaya
Mohammed Aassila
1
+
The decomposition method for forward and backward time-dependent problems
2002
D. Lesnic
1
+
A computational algebraic investigation of the decomposition method for time-dependent problems
2001
D. Lesnic
1
+
VODE: A Variable-Coefficient ODE Solver
1989
Peter N. Brown
George D. Byrne
A.C. Hindmarsh
1
+
The decomposition method for approximate solution of the Goursat problem
1995
Abdul‐Majid Wazwaz
1
+
Analytical approximations and Padé approximants for Volterra's population model
1999
Abdul‐Majid Wazwaz
1
+
PDF
Chat
On a family of Halley-like methods to find simple roots of nonlinear equations
2013
Beny Neta
Melvin R. Scott
1
+
A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations
2002
Doǧan Kaya
Asıf Yokuş
1
+
The numerical treatment of a single nonlinear equation
1970
A. S. Householder
1
+
Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
2001
Abdul‐Majid Wazwaz
1
+
The solution of Burgers’ and good Boussinesq equations using ADM–Padé technique
2006
Tamer A. Abassy
Magdy A. El‐Tawil
Hassan K. Saleh
1
+
A numerical application of the decomposition method for the combined KdV–MKdV equation
2004
Dogˇan Kaya
İbrahim E. İnan
1
+
The Application of Preconditioning in Viscous Flows
1993
Yun-Jeong Choi
Charles Merkle
1