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Author ID: amore.paolo Recent zbMATH articles by "Amore, Paolo"
Published as: Amore, Paolo; Amore, P.
External Links: ORCID
Documents Indexed: 89 Publications since 2003, including 1 Book and 19 Additional arXiv Preprints
Co-Authors: 33 Co-Authors with 65 Joint Publications
216 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 218 times in 164 Documents Cited by Year
Improved Lindstedt-Poincaré method for the solution of nonlinear problems. Zbl 1237.70097
Amore, Paolo; Aranda, Alfredo
33
2005
Collocation method for fractional quantum mechanics. Zbl 1314.81061
Amore, Paolo; Fernández, Francisco M.; Hofmann, Christoph P.; Sáenz, Ricardo A.
26
2010
Presenting a new method for the solution of nonlinear problems. Zbl 1034.34010
Amore, Paolo; Aranda, Alfredo
12
2003
Accurate calculation of the solutions to the Thomas-Fermi equations. Zbl 1410.81015
Amore, Paolo; Boyd, John P.; Fernández, Francisco M.
12
2014
Comparison of alternative improved perturbative methods for nonlinear oscillations. Zbl 1145.70323
Amore, Paolo; Raya, Alfredo; Fernández, Francisco M.
11
2005
Altenative perturbation approaches in classical mechanics. Zbl 1080.70014
Amore, Paolo; Raya, Alfredo; Fernández, Francisco M.
11
2005
Convergence acceleration of series through a variational approach. Zbl 1105.65023
Amore, Paolo
10
2006
Solving the Helmholtz equation for membranes of arbitrary shape: Numerical results. Zbl 1154.74024
Amore, Paolo
10
2008
High order analysis of nonlinear periodic differential equations. Zbl 1138.34318
Amore, Paolo; Lamas, Héctor Montes
9
2004
A variational sinc collocation method for strong-coupling problems. Zbl 1093.65076
Amore, Paolo
9
2006
High order eigenvalues for the Helmholtz equation in complicated non-tensor domains through Richardson extrapolation of second order finite differences. Zbl 1352.65458
Amore, Paolo; Boyd, John P.; Fernández, Francisco M.; Rösler, Boris
8
2016
Comment on an application of the asymptotic iteration method to a perturbed Coulomb model. Zbl 1114.81007
Amore, Paolo; Fernández, Francisco M.
6
2006
A new method for the solution of the Schrödinger equation. Zbl 1044.81026
Amore, Paolo; Aranda, Alfredo; De Pace, Arturo
5
2004
Spectroscopy of drums and quantum billiards: perturbative and nonperturbative results. Zbl 1310.81053
Amore, Paolo
5
2010
Is space-time symmetry a suitable generalization of parity-time symmetry? Zbl 1344.81090
Amore, Paolo; Fernández, Francisco M.; Garcia, Javier
5
2014
Non-Hermitian oscillators with \(T_d\) symmetry. Zbl 1343.81095
Amore, Paolo; Fernández, Francisco M.; Garcia, Javier
4
2015
Variational collocation on finite intervals. Zbl 1126.65062
Amore, Paolo; Cervantes, Mayra; Fernández, Francisco M.
3
2007
The string of variable density: further results. Zbl 1275.81040
Amore, Paolo
3
2011
Collocation on uniform grids. Zbl 1177.81145
Amore, Paolo; Fernández, Francisco M.; Sáenz, Ricardo A.; Salvo, Koen
3
2009
The string of variable density: perturbative and non-perturbative results. Zbl 1248.74022
Amore, Paolo
3
2010
An ubiquitous three-term recurrence relation. Zbl 1461.81024
Amore, Paolo; Fernández, Francisco M.
3
2021
Accurate calculation of the complex eigenvalues of the Schrödinger equation with an exponential potential. Zbl 1220.81104
Amore, Paolo; Fernández, Francisco M.
2
2008
One-dimensional oscillator in a box. Zbl 1188.81056
Amore, Paolo; Fernández, Francisco M.
2
2010
Development of accurate solutions for a classical oscillator. Zbl 1241.70030
Amore, Paolo; Sanchez, Nestor E.
2
2007
On the symmetry of three identical interacting particles in a one-dimensional box. Zbl 1343.81263
Amore, Paolo; Fernández, Francisco M.
2
2015
High order analysis of the limit cycle of the van der Pol oscillator. Zbl 1383.34076
Amore, Paolo; Boyd, John P.; Fernández, Francisco M.
2
2018
Inversion of the perturbation series. Zbl 1132.81020
Amore, Paolo; Fernández, Francisco M.
1
2008
A new approximation method for time-dependent problems in quantum mechanics. Zbl 1145.81349
Amore, Paolo; Aranda, Alfredo; Fernández, Francisco M.; Jones, Hugh
1
2005
Comparative study of quantum anharmonic potentials. Zbl 1209.81117
Amore, Paolo; Aranda, Alfredo; De Pace, Arturo; López, Jorge A.
1
2004
Variational collocation for systems of coupled anharmonic oscillators. Zbl 1273.81057
Amore, Paolo; Fernández, Francisco M.
1
2010
Bound states in open-coupled asymmetrical waveguides and quantum wires. Zbl 1236.81079
Amore, Paolo; Rodriguez, Martin; Terrero-Escalante, César A.
1
2012
One-loop integrals at finite temperature. Zbl 1073.81070
Amore, Paolo
1
2005
The harmonic oscillator in a space with a screw dislocation. Zbl 1382.81084
Amore, Paolo; Fernández, Francisco M.
1
2018
Exact sum rules for inhomogeneous strings. Zbl 1348.35058
Amore, Paolo
1
2013
Dispersion relation of the nonlinear Klein-Gordon equation through a variational method. Zbl 1144.37312
Amore, Paolo; Raya, Alfredo
1
2006
A quantum-mechanical anharmonic oscillator with a most interesting spectrum. Zbl 1372.81084
Amore, Paolo; Fernández, Francisco M.
1
2017
\(\mathcal{PT}\)-symmetric strings. Zbl 1303.81082
Amore, Paolo; Fernández, Francisco M.; Garcia, Javier; Gutierrez, German
1
2014
Spectroscopy of annular drums and quantum rings: perturbative and nonperturbative results. Zbl 1317.81214
Alvarado, Carlos; Amore, Paolo
1
2011
Spectral sum rules for the Schrödinger equation. Zbl 1451.81237
Amore, Paolo
1
2020
Exact sum rules for inhomogeneous systems containing a zero mode. Zbl 1343.35072
Amore, Paolo
1
2014
Thomson problem in one dimension: minimal energy configurations of \(N\) charges on a curve. Zbl 1514.78004
Amore, Paolo; Jacobo, Martin
1
2019
On the application of the Lindstedt-Poincaré method to the Lotka-Volterra system. Zbl 1398.70045
Amore, Paolo; Fernández, Francisco M.
1
2018
On a model for rotational tunneling with a \(C_{6}\)-space-time symmetric analog. Zbl 1422.81178
Amore, Paolo; Fernández, Francisco M.
1
2019
An ubiquitous three-term recurrence relation. Zbl 1461.81024
Amore, Paolo; Fernández, Francisco M.
3
2021
Spectral sum rules for the Schrödinger equation. Zbl 1451.81237
Amore, Paolo
1
2020
Thomson problem in one dimension: minimal energy configurations of \(N\) charges on a curve. Zbl 1514.78004
Amore, Paolo; Jacobo, Martin
1
2019
On a model for rotational tunneling with a \(C_{6}\)-space-time symmetric analog. Zbl 1422.81178
Amore, Paolo; Fernández, Francisco M.
1
2019
High order analysis of the limit cycle of the van der Pol oscillator. Zbl 1383.34076
Amore, Paolo; Boyd, John P.; Fernández, Francisco M.
2
2018
The harmonic oscillator in a space with a screw dislocation. Zbl 1382.81084
Amore, Paolo; Fernández, Francisco M.
1
2018
On the application of the Lindstedt-Poincaré method to the Lotka-Volterra system. Zbl 1398.70045
Amore, Paolo; Fernández, Francisco M.
1
2018
A quantum-mechanical anharmonic oscillator with a most interesting spectrum. Zbl 1372.81084
Amore, Paolo; Fernández, Francisco M.
1
2017
High order eigenvalues for the Helmholtz equation in complicated non-tensor domains through Richardson extrapolation of second order finite differences. Zbl 1352.65458
Amore, Paolo; Boyd, John P.; Fernández, Francisco M.; Rösler, Boris
8
2016
Non-Hermitian oscillators with \(T_d\) symmetry. Zbl 1343.81095
Amore, Paolo; Fernández, Francisco M.; Garcia, Javier
4
2015
On the symmetry of three identical interacting particles in a one-dimensional box. Zbl 1343.81263
Amore, Paolo; Fernández, Francisco M.
2
2015
Accurate calculation of the solutions to the Thomas-Fermi equations. Zbl 1410.81015
Amore, Paolo; Boyd, John P.; Fernández, Francisco M.
12
2014
Is space-time symmetry a suitable generalization of parity-time symmetry? Zbl 1344.81090
Amore, Paolo; Fernández, Francisco M.; Garcia, Javier
5
2014
\(\mathcal{PT}\)-symmetric strings. Zbl 1303.81082
Amore, Paolo; Fernández, Francisco M.; Garcia, Javier; Gutierrez, German
1
2014
Exact sum rules for inhomogeneous systems containing a zero mode. Zbl 1343.35072
Amore, Paolo
1
2014
Exact sum rules for inhomogeneous strings. Zbl 1348.35058
Amore, Paolo
1
2013
Bound states in open-coupled asymmetrical waveguides and quantum wires. Zbl 1236.81079
Amore, Paolo; Rodriguez, Martin; Terrero-Escalante, César A.
1
2012
The string of variable density: further results. Zbl 1275.81040
Amore, Paolo
3
2011
Spectroscopy of annular drums and quantum rings: perturbative and nonperturbative results. Zbl 1317.81214
Alvarado, Carlos; Amore, Paolo
1
2011
Collocation method for fractional quantum mechanics. Zbl 1314.81061
Amore, Paolo; Fernández, Francisco M.; Hofmann, Christoph P.; Sáenz, Ricardo A.
26
2010
Spectroscopy of drums and quantum billiards: perturbative and nonperturbative results. Zbl 1310.81053
Amore, Paolo
5
2010
The string of variable density: perturbative and non-perturbative results. Zbl 1248.74022
Amore, Paolo
3
2010
One-dimensional oscillator in a box. Zbl 1188.81056
Amore, Paolo; Fernández, Francisco M.
2
2010
Variational collocation for systems of coupled anharmonic oscillators. Zbl 1273.81057
Amore, Paolo; Fernández, Francisco M.
1
2010
Collocation on uniform grids. Zbl 1177.81145
Amore, Paolo; Fernández, Francisco M.; Sáenz, Ricardo A.; Salvo, Koen
3
2009
Solving the Helmholtz equation for membranes of arbitrary shape: Numerical results. Zbl 1154.74024
Amore, Paolo
10
2008
Accurate calculation of the complex eigenvalues of the Schrödinger equation with an exponential potential. Zbl 1220.81104
Amore, Paolo; Fernández, Francisco M.
2
2008
Inversion of the perturbation series. Zbl 1132.81020
Amore, Paolo; Fernández, Francisco M.
1
2008
Variational collocation on finite intervals. Zbl 1126.65062
Amore, Paolo; Cervantes, Mayra; Fernández, Francisco M.
3
2007
Development of accurate solutions for a classical oscillator. Zbl 1241.70030
Amore, Paolo; Sanchez, Nestor E.
2
2007
Convergence acceleration of series through a variational approach. Zbl 1105.65023
Amore, Paolo
10
2006
A variational sinc collocation method for strong-coupling problems. Zbl 1093.65076
Amore, Paolo
9
2006
Comment on an application of the asymptotic iteration method to a perturbed Coulomb model. Zbl 1114.81007
Amore, Paolo; Fernández, Francisco M.
6
2006
Dispersion relation of the nonlinear Klein-Gordon equation through a variational method. Zbl 1144.37312
Amore, Paolo; Raya, Alfredo
1
2006
Improved Lindstedt-Poincaré method for the solution of nonlinear problems. Zbl 1237.70097
Amore, Paolo; Aranda, Alfredo
33
2005
Comparison of alternative improved perturbative methods for nonlinear oscillations. Zbl 1145.70323
Amore, Paolo; Raya, Alfredo; Fernández, Francisco M.
11
2005
Altenative perturbation approaches in classical mechanics. Zbl 1080.70014
Amore, Paolo; Raya, Alfredo; Fernández, Francisco M.
11
2005
A new approximation method for time-dependent problems in quantum mechanics. Zbl 1145.81349
Amore, Paolo; Aranda, Alfredo; Fernández, Francisco M.; Jones, Hugh
1
2005
One-loop integrals at finite temperature. Zbl 1073.81070
Amore, Paolo
1
2005
High order analysis of nonlinear periodic differential equations. Zbl 1138.34318
Amore, Paolo; Lamas, Héctor Montes
9
2004
A new method for the solution of the Schrödinger equation. Zbl 1044.81026
Amore, Paolo; Aranda, Alfredo; De Pace, Arturo
5
2004
Comparative study of quantum anharmonic potentials. Zbl 1209.81117
Amore, Paolo; Aranda, Alfredo; De Pace, Arturo; López, Jorge A.
1
2004
Presenting a new method for the solution of nonlinear problems. Zbl 1034.34010
Amore, Paolo; Aranda, Alfredo
12
2003
all top 5

Cited by 252 Authors

18 Fernández, Francisco Marcelo
17 Amore, Paolo
10 Beléndez, Augusto
8 Boyd, John Philip
7 Huang, Chengming
6 Beléndez, Tarsicio
5 Wang, Pengde
4 Álvarez, Mariela L.
4 Saad, Nasser
4 Yamgoué, Serge Bruno
4 Zaky, Mahmoud A.
3 Bhrawy, Ali Hassan
3 Delkhosh, Mehdi
3 Elías-Zúñiga, Alex
3 Fei, Mingfa
3 Gimeno, Encarnación
3 Hall, Richard L.
3 Méndez, D. I.
3 Pascual, Carolina
3 Ramos, Juan I.
3 Shidfar, Abdollah
3 Wang, Dongling
3 Xiao, Aiguo
3 Yang, Wei
3 Zolfaghari, Reza
2 Alzer, Horst
2 Coffey, Mark William
2 Cveticanin, Livija
2 Gallego, Sergi
2 Gaudreau, Philippe J.
2 Johannessen, Kim
2 Koumandos, Stamatis
2 Lai, Siu Kai
2 Li, Huiyuan
2 Nana, Bonaventure
2 Neipp, C.
2 Ortuño, Manuel
2 Parand, Kourosh
2 Pelap, François Béceau
2 Safouhi, Hassan
2 Wang, C.
2 Wang, Tongke
2 Xiang, Yang
2 Zhang, Guoyu
2 Zhang, Yanzhi
1 Aasma, Ants
1 Adell, José Antonio
1 Ahmed, Zafar
1 Al-Mdallal, Qasem M.
1 Alharbi, Fahhad H.
1 Almushaira, Mustafa
1 Alvarado, Carlos A.
1 Araki, Luciano Kiyoshi
1 Aranda, Alfredo
1 Arribas, Enrique
1 Aslani, Hamed
1 Badalov, Vatan H.
1 Bakry, M. A.
1 Baris, B.
1 Baye, Daniel
1 Berra-Montiel, Jasel
1 Bertoldo, Guilherme
1 Bhattacharjee, Jayanta K.
1 Bhattacharjee, Shayak
1 Bielski, Sebastian
1 Borthagaray, Juan Pablo
1 Boumali, Abdelmalek
1 Bruno, Oscar P.
1 Carney, Matthew F.
1 Cassidy, Tyler
1 Champion, Brodie
1 Chao, Sheng D.
1 Chen, Huaxiong
1 Chen, Sheng
1 Chen, Shuhui
1 Chen, Xin
1 Chen, Yu-Hsin
1 Ciftci, Hakan
1 Clason, Christian
1 Córdoba-Díaz, René K.
1 da Silva, Nicholas Dicati P.
1 Damirchi, Javad
1 Darabi, E.
1 Davodi, Amin Gholami
1 De Pace, Arturo
1 de Rezende Borges, Rafael B.
1 Del Pezzo, Leandro M.
1 Dereli, Yılmaz
1 Du, Rui
1 Duo, Siwei
1 Elling, Timothy
1 Eshghi, Mahdi
1 Estrada, Ricardo
1 Fu, Jingli
1 Fucci, Guglielmo
1 Ganji, Davood Domiri
1 Ganji, S. H. Seyedalizadeh
1 Ganji, S. S.
1 Garbaczewski, Piotr
1 Garcia-Chung, Angel
...and 152 more Authors
all top 5

Cited in 76 Serials

12 Journal of Mathematical Physics
10 Computers & Mathematics with Applications
10 Journal of Mathematical Chemistry
7 Journal of Computational Physics
7 Journal of Computational and Applied Mathematics
6 Applied Mathematics and Computation
5 Annals of Physics
4 Physics Letters. A
4 Applied Numerical Mathematics
4 Nonlinear Dynamics
3 International Journal of Modern Physics B
3 European Journal of Physics
3 Chaos, Solitons and Fractals
3 Applied Mathematical Modelling
3 Mathematical Problems in Engineering
3 Communications in Nonlinear Science and Numerical Simulation
2 Journal of Engineering Mathematics
2 Journal of Mathematical Analysis and Applications
2 Physica D
2 Numerical Methods for Partial Differential Equations
2 Mathematical and Computer Modelling
2 Journal of Scientific Computing
2 Numerical Algorithms
2 International Journal of Computer Mathematics
2 Archive of Applied Mechanics
2 SIAM Journal on Scientific Computing
2 Nonlinear Analysis. Real World Applications
2 Advances in Difference Equations
2 Communications in Theoretical Physics
2 Advances in Mathematical Physics
2 Journal of Applied Nonlinear Dynamics
1 Modern Physics Letters A
1 International Journal of Modern Physics A
1 Analysis Mathematica
1 Computer Physics Communications
1 General Relativity and Gravitation
1 International Journal of Engineering Science
1 International Journal of Theoretical Physics
1 Mathematical Methods in the Applied Sciences
1 Periodica Mathematica Hungarica
1 Physica A
1 Physics Reports
1 Mathematics of Computation
1 Mathematics and Computers in Simulation
1 Meccanica
1 Mechanics Research Communications
1 SIAM Journal on Numerical Analysis
1 Studies in Applied Mathematics
1 Journal of Nonlinear Science
1 Fractals
1 Advances in Computational Mathematics
1 The Ramanujan Journal
1 Abstract and Applied Analysis
1 Chaos
1 Discrete Dynamics in Nature and Society
1 Analysis (München)
1 Gravitation & Cosmology
1 The ANZIAM Journal
1 Mathematical Modelling and Analysis
1 Journal of Applied Mathematics
1 Journal of Cosmology and Astroparticle Physics
1 International Journal of Geometric Methods in Modern Physics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Chinese Journal of Physics (Taipei)
1 Acta Universitatis Sapientiae. Mathematica
1 Symmetry
1 Evolution Equations and Control Theory
1 Journal of Mathematics
1 Iranian Journal of Numerical Analysis and Optimization
1 Research in the Mathematical Sciences
1 International Journal of Applied and Computational Mathematics
1 Open Mathematics
1 Korean Journal of Mathematics
1 SN Partial Differential Equations and Applications
1 Journal of Computational and Theoretical Transport
1 Journal of Computational Physics: X

Citations by Year