# zbMATH — the first resource for mathematics

## Amore, Paolo

Compute Distance To:
 Author ID: amore.paolo Published as: Amore, P.; Amore, Paolo External Links: ORCID
 Documents Indexed: 60 Publications since 2003, including 1 Book
all top 5

#### Co-Authors

 14 single-authored 35 Fernández, Francisco Marcelo 5 Aranda, Alfredo 4 Boyd, John Philip 3 Raya, Alfredo 3 Rodriguez, Martin 2 De Pace, Arturo 2 Garcia, Javier G. 2 Sáenz, Ricardo A. 1 Alvarado, Carlos 1 Birse, Michael C. 1 Cervantes, Mayra 1 García, Javier R. 1 Gutiérrez, German 1 Hofmann, Christoph P. 1 Jacobo, Martin 1 Jiménez, Enrique 1 Jones, Hugh F. 1 Lamas, Héctor Montes 1 López, Jorge A. 1 McGovern, Judith A. 1 Rösler, Boris 1 Salvo, Koen 1 Sanchez, Nestor E. 1 Terrero-Escalante, César A. 1 Walecka, John Dirk 1 Walet, Niels R. 1 Zhevandrov, Petr B.
all top 5

#### Serials

 15 Annals of Physics 10 Physics Letters. A 7 Journal of Physics A: Mathematical and Theoretical 5 Journal of Mathematical Physics 4 Journal of Physics A: Mathematical and General 3 European Journal of Physics 3 Journal of Mathematical Chemistry 3 Physica Scripta 2 Journal of Sound and Vibration 2 The ANZIAM Journal 1 International Journal of Modern Physics B 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Applied Mathematics and Computation 1 Chaos
all top 5

#### Fields

 39 Quantum theory (81-XX) 12 Numerical analysis (65-XX) 11 Partial differential equations (35-XX) 9 Ordinary differential equations (34-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Mechanics of particles and systems (70-XX) 5 Mechanics of deformable solids (74-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Operator theory (47-XX) 2 Number theory (11-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

36 Publications have been cited 176 times in 128 Documents Cited by Year
Improved Lindstedt-Poincaré method for the solution of nonlinear problems. Zbl 1237.70097
Amore, Paolo; Aranda, Alfredo
2005
Collocation method for fractional quantum mechanics. Zbl 1314.81061
Amore, Paolo; Fernández, Francisco M.; Hofmann, Christoph P.; Sáenz, Ricardo A.
2010
Presenting a new method for the solution of nonlinear problems. Zbl 1034.34010
Amore, Paolo; Aranda, Alfredo
2003
Altenative perturbation approaches in classical mechanics. Zbl 1080.70014
Amore, Paolo; Raya, Alfredo; Fernández, Francisco M.
2005
Solving the Helmholtz equation for membranes of arbitrary shape: Numerical results. Zbl 1154.74024
Amore, Paolo
2008
Convergence acceleration of series through a variational approach. Zbl 1105.65023
Amore, Paolo
2006
Comparison of alternative improved perturbative methods for nonlinear oscillations. Zbl 1145.70323
Amore, Paolo; Raya, Alfredo; Fernández, Francisco M.
2005
Accurate calculation of the solutions to the Thomas-Fermi equations. Zbl 1410.81015
Amore, Paolo; Boyd, John P.; Fernández, Francisco M.
2014
A variational sinc collocation method for strong-coupling problems. Zbl 1093.65076
Amore, Paolo
2006
High order analysis of nonlinear periodic differential equations. Zbl 1138.34318
Amore, Paolo; Lamas, Héctor Montes
2004
Comment on an application of the asymptotic iteration method to a perturbed Coulomb model. Zbl 1114.81007
Amore, Paolo; Fernández, Francisco M.
2006
Is space-time symmetry a suitable generalization of parity-time symmetry? Zbl 1344.81090
Amore, Paolo; Fernández, Francisco M.; Garcia, Javier
2014
Spectroscopy of drums and quantum billiards: perturbative and nonperturbative results. Zbl 1310.81053
Amore, Paolo
2010
A new method for the solution of the Schrödinger equation. Zbl 1044.81026
Amore, Paolo; Aranda, Alfredo; De Pace, Arturo
2004
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
2016
Non-Hermitian oscillators with $$T_d$$ symmetry. Zbl 1343.81095
Amore, Paolo; Fernández, Francisco M.; Garcia, Javier
2015
The string of variable density: further results. Zbl 1275.81040
Amore, Paolo
2011
The string of variable density: perturbative and non-perturbative results. Zbl 1248.74022
Amore, Paolo
2010
Collocation on uniform grids. Zbl 1177.81145
Amore, Paolo; Fernández, Francisco M.; Sáenz, Ricardo A.; Salvo, Koen
2009
Variational collocation on finite intervals. Zbl 1126.65062
Amore, Paolo; Cervantes, Mayra; Fernández, Francisco M.
2007
On the symmetry of three identical interacting particles in a one-dimensional box. Zbl 1343.81263
Amore, Paolo; Fernández, Francisco M.
2015
Development of accurate solutions for a classical oscillator. Zbl 1241.70030
Amore, Paolo; Sanchez, Nestor E.
2007
The harmonic oscillator in a space with a screw dislocation. Zbl 1382.81084
Amore, Paolo; Fernández, Francisco M.
2018
High order analysis of the limit cycle of the van der Pol oscillator. Zbl 1383.34076
Amore, Paolo; Boyd, John P.; Fernández, Francisco M.
2018
A quantum-mechanical anharmonic oscillator with a most interesting spectrum. Zbl 1372.81084
Amore, Paolo; Fernández, Francisco M.
2017
Exact sum rules for inhomogeneous systems containing a zero mode. Zbl 1343.35072
Amore, Paolo
2014
Exact sum rules for inhomogeneous strings. Zbl 1348.35058
Amore, Paolo
2013
Bound states in open-coupled asymmetrical waveguides and quantum wires. Zbl 1236.81079
Amore, Paolo; Rodriguez, Martin; Terrero-Escalante, César A.
2012
Spectroscopy of annular drums and quantum rings: perturbative and nonperturbative results. Zbl 1317.81214
2011
Variational collocation for systems of coupled anharmonic oscillators. Zbl 1273.81057
Amore, Paolo; Fernández, Francisco M.
2010
One-dimensional oscillator in a box. Zbl 1188.81056
Amore, Paolo; Fernández, Francisco M.
2010
Accurate calculation of the complex eigenvalues of the Schrödinger equation with an exponential potential. Zbl 1220.81104
Amore, Paolo; Fernández, Francisco M.
2008
Inversion of the perturbation series. Zbl 1132.81020
Amore, Paolo; Fernández, Francisco M.
2008
Dispersion relation of the nonlinear Klein-Gordon equation through a variational method. Zbl 1144.37312
Amore, Paolo; Raya, Alfredo
2006
One-loop integrals at finite temperature. Zbl 1073.81070
Amore, Paolo
2005
Comparative study of quantum anharmonic potentials. Zbl 1209.81117
Amore, Paolo; Aranda, Alfredo; De Pace, Arturo; López, Jorge A.
2004
The harmonic oscillator in a space with a screw dislocation. Zbl 1382.81084
Amore, Paolo; Fernández, Francisco M.
2018
High order analysis of the limit cycle of the van der Pol oscillator. Zbl 1383.34076
Amore, Paolo; Boyd, John P.; Fernández, Francisco M.
2018
A quantum-mechanical anharmonic oscillator with a most interesting spectrum. Zbl 1372.81084
Amore, Paolo; Fernández, Francisco M.
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
2016
Non-Hermitian oscillators with $$T_d$$ symmetry. Zbl 1343.81095
Amore, Paolo; Fernández, Francisco M.; Garcia, Javier
2015
On the symmetry of three identical interacting particles in a one-dimensional box. Zbl 1343.81263
Amore, Paolo; Fernández, Francisco M.
2015
Accurate calculation of the solutions to the Thomas-Fermi equations. Zbl 1410.81015
Amore, Paolo; Boyd, John P.; Fernández, Francisco M.
2014
Is space-time symmetry a suitable generalization of parity-time symmetry? Zbl 1344.81090
Amore, Paolo; Fernández, Francisco M.; Garcia, Javier
2014
Exact sum rules for inhomogeneous systems containing a zero mode. Zbl 1343.35072
Amore, Paolo
2014
Exact sum rules for inhomogeneous strings. Zbl 1348.35058
Amore, Paolo
2013
Bound states in open-coupled asymmetrical waveguides and quantum wires. Zbl 1236.81079
Amore, Paolo; Rodriguez, Martin; Terrero-Escalante, César A.
2012
The string of variable density: further results. Zbl 1275.81040
Amore, Paolo
2011
Spectroscopy of annular drums and quantum rings: perturbative and nonperturbative results. Zbl 1317.81214
2011
Collocation method for fractional quantum mechanics. Zbl 1314.81061
Amore, Paolo; Fernández, Francisco M.; Hofmann, Christoph P.; Sáenz, Ricardo A.
2010
Spectroscopy of drums and quantum billiards: perturbative and nonperturbative results. Zbl 1310.81053
Amore, Paolo
2010
The string of variable density: perturbative and non-perturbative results. Zbl 1248.74022
Amore, Paolo
2010
Variational collocation for systems of coupled anharmonic oscillators. Zbl 1273.81057
Amore, Paolo; Fernández, Francisco M.
2010
One-dimensional oscillator in a box. Zbl 1188.81056
Amore, Paolo; Fernández, Francisco M.
2010
Collocation on uniform grids. Zbl 1177.81145
Amore, Paolo; Fernández, Francisco M.; Sáenz, Ricardo A.; Salvo, Koen
2009
Solving the Helmholtz equation for membranes of arbitrary shape: Numerical results. Zbl 1154.74024
Amore, Paolo
2008
Accurate calculation of the complex eigenvalues of the Schrödinger equation with an exponential potential. Zbl 1220.81104
Amore, Paolo; Fernández, Francisco M.
2008
Inversion of the perturbation series. Zbl 1132.81020
Amore, Paolo; Fernández, Francisco M.
2008
Variational collocation on finite intervals. Zbl 1126.65062
Amore, Paolo; Cervantes, Mayra; Fernández, Francisco M.
2007
Development of accurate solutions for a classical oscillator. Zbl 1241.70030
Amore, Paolo; Sanchez, Nestor E.
2007
Convergence acceleration of series through a variational approach. Zbl 1105.65023
Amore, Paolo
2006
A variational sinc collocation method for strong-coupling problems. Zbl 1093.65076
Amore, Paolo
2006
Comment on an application of the asymptotic iteration method to a perturbed Coulomb model. Zbl 1114.81007
Amore, Paolo; Fernández, Francisco M.
2006
Dispersion relation of the nonlinear Klein-Gordon equation through a variational method. Zbl 1144.37312
Amore, Paolo; Raya, Alfredo
2006
Improved Lindstedt-Poincaré method for the solution of nonlinear problems. Zbl 1237.70097
Amore, Paolo; Aranda, Alfredo
2005
Altenative perturbation approaches in classical mechanics. Zbl 1080.70014
Amore, Paolo; Raya, Alfredo; Fernández, Francisco M.
2005
Comparison of alternative improved perturbative methods for nonlinear oscillations. Zbl 1145.70323
Amore, Paolo; Raya, Alfredo; Fernández, Francisco M.
2005
One-loop integrals at finite temperature. Zbl 1073.81070
Amore, Paolo
2005
High order analysis of nonlinear periodic differential equations. Zbl 1138.34318
Amore, Paolo; Lamas, Héctor Montes
2004
A new method for the solution of the Schrödinger equation. Zbl 1044.81026
Amore, Paolo; Aranda, Alfredo; De Pace, Arturo
2004
Comparative study of quantum anharmonic potentials. Zbl 1209.81117
Amore, Paolo; Aranda, Alfredo; De Pace, Arturo; López, Jorge A.
2004
Presenting a new method for the solution of nonlinear problems. Zbl 1034.34010
Amore, Paolo; Aranda, Alfredo
2003
all top 5

#### Cited by 207 Authors

 16 Amore, Paolo 15 Fernández, Francisco Marcelo 10 Beléndez, Augusto 7 Boyd, John Philip 6 Beléndez, Tarsicio 5 Huang, Chengming 4 Álvarez, Mariela L. 4 Lai, Siu Kai 4 Saad, Nasser 4 Wang, Pengde 3 Cveticanin, Livija 3 Gimeno, Encarnación 3 Hall, Richard L. 3 Méndez, D. I. 3 Pascual, Carolina 3 Ramos, Juan I. 3 Shidfar, Abdollah 3 Sun, Weiping 3 Wang, Dongling 3 Xiao, Aiguo 3 Yang, Wei 3 Zolfaghari, Reza 2 Alzer, Horst 2 Bhrawy, Ali Hassan 2 Coffey, Mark William 2 Delkhosh, Mehdi 2 Elías-Zúñiga, Alex 2 Gallego, Sergi 2 Gaudreau, Philippe J. 2 Hernandez, Adolfo 2 Johannessen, Kim 2 Koumandos, Stamatis 2 Lim, Chae-Wook 2 Lim, Chia Wei 2 Neipp, C. 2 Ortuño, Manuel 2 Parand, Kourosh 2 Qian, Youhua 2 Raya, Alfredo 2 Safouhi, Hassan 2 Wu, Baisheng 2 Wu, Bisheng 2 Xiang, Yan 2 Zaky, Mahmoud A. 2 Zhang, Yanzhi 1 Aasma, Ants 1 Adell, José Antonio 1 Ahmed, Zafar 1 Al-Mdallal, Qasem M. 1 Alharbi, Fahhad H. 1 Alvarado, Carlos 1 Araki, Luciano Kiyoshi 1 Aranda, Alfredo 1 Arribas, Enrique 1 Babazadeh, Hossein 1 Badalov, V. H. 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 Boyd, John K. 1 Bruno, Oscar P. 1 Cassidy, Tyler 1 Champion, Brodie 1 Chen, Huaxiong 1 Chen, Shengming 1 Chen, Shuhui 1 Chen, Si-Ping 1 Chen, Xin 1 Ciftci, Hakan 1 Clason, Christian 1 Córdoba-Díaz, René K. 1 Cveticanin, L. J. 1 da Silva, Nicholas D. 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 Duo, Siwei 1 Elling, Timothy 1 Esguerra, Jose Perico H. 1 Eshghi, Mahdi 1 Estrada, Ricardo 1 Fei, Mingfa 1 Ganji, Davood Domiri 1 Ganji, S. H. Seyedalizadeh 1 Ganji, S. S. 1 Garbaczewski, Piotr 1 Garcia, Javier G. 1 Ghafoori, M. 1 Ghodsi, Reza 1 Gluzman, Simon 1 Górski, Andrzej Z. 1 Gousheh, Siamak S. ...and 107 more Authors
all top 5

#### Cited in 56 Serials

 11 Journal of Mathematical Physics 9 Computers & Mathematics with Applications 8 Journal of Mathematical Chemistry 7 Journal of Computational Physics 6 Physics Letters. A 6 Applied Mathematics and Computation 6 Journal of Computational and Applied Mathematics 4 Applied Numerical Mathematics 4 Annals of Physics 3 International Journal of Modern Physics B 3 Chaos, Solitons and Fractals 3 Applied Mathematical Modelling 3 Nonlinear Dynamics 2 European Journal of Physics 2 Journal of Mathematical Analysis and Applications 2 Mathematical and Computer Modelling 2 Numerical Algorithms 2 Archive of Applied Mechanics 2 SIAM Journal on Scientific Computing 2 Mathematical Problems in Engineering 2 Communications in Nonlinear Science and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 Advances in Mathematical Physics 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 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Periodica Mathematica Hungarica 1 Physics Reports 1 Mathematics of Computation 1 Meccanica 1 Mechanics Research Communications 1 Studies in Applied Mathematics 1 Physica D 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 International Journal of Computer Mathematics 1 Journal of Nonlinear Science 1 Advances in Computational Mathematics 1 The Ramanujan Journal 1 Abstract and Applied Analysis 1 Chaos 1 Analysis (München) 1 The ANZIAM Journal 1 Journal of Applied Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 Acta Universitatis Sapientiae. Mathematica 1 Symmetry 1 Evolution Equations and Control Theory 1 Journal of Mathematics 1 International Journal of Applied and Computational Mathematics
all top 5

#### Cited in 26 Fields

 56 Numerical analysis (65-XX) 41 Ordinary differential equations (34-XX) 38 Partial differential equations (35-XX) 30 Quantum theory (81-XX) 16 Mechanics of particles and systems (70-XX) 7 Number theory (11-XX) 6 Mechanics of deformable solids (74-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Special functions (33-XX) 4 Operator theory (47-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Sequences, series, summability (40-XX) 3 Integral equations (45-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Fluid mechanics (76-XX) 2 Relativity and gravitational theory (83-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX)