Edit Profile (opens in new tab) Amore, Paolo Co-Author Distance Author ID: 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 all top 5 Co-Authors 24 single-authored 47 Fernández, Francisco Marcelo 7 Boyd, John Philip 6 Aranda, Alfredo 4 Sáenz, Ricardo A. 3 Raya, Alfredo 3 Rodriguez, Martin 2 De Pace, Arturo 2 Hofmann, Christoph P. 2 Jacobo, Martin 1 Alvarado, Carlos A. 1 Birse, Michael C. 1 Carrizalez, Mauricio 1 Cervantes, Mayra 1 Ciftci, Hakan 1 Fernande, Francisco M. 1 Gutiérrez, German 1 Jiménez, Enrique 1 Jones, Hugh F. 1 Lamas, Héctor Montes 1 López, Jorge A. 1 Márquez, Abigail 1 McGovern, Judith A. 1 Morales, Tenoch 1 Rösler, Boris 1 Salvo, Koen 1 Sanchez, Nestor E. 1 Sandoval, Natalia Tene 1 Terrero-Escalante, César A. 1 Valdez, José Luis 1 Walecka, John Dirk 1 Walet, Niels R. 1 Zarate, Ulises 1 Zhevandrov, Peter N. all top 5 Serials 16 Annals of Physics 10 Physics Letters. A 7 Journal of Mathematical Physics 7 Journal of Physics A: Mathematical and Theoretical 4 Journal of Physics A: Mathematical and General 4 Journal of Mathematical Chemistry 3 European Journal of Physics 3 Physica Scripta 2 Journal of Sound and Vibration 2 Physica D 2 The ANZIAM Journal 1 International Journal of Modern Physics B 1 Computer Physics Communications 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Physica A 1 Applied Mathematics and Computation 1 Discrete & Computational Geometry 1 Chaos 1 Journal of Computational Physics: X all top 5 Fields 42 Quantum theory (81-XX) 18 Numerical analysis (65-XX) 13 Partial differential equations (35-XX) 9 Ordinary differential equations (34-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Mechanics of particles and systems (70-XX) 6 Mechanics of deformable solids (74-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Operator theory (47-XX) 2 Number theory (11-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 (04-XX) 1 General algebraic systems (08-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 34 Fields 77 Numerical analysis (65-XX) 54 Partial differential equations (35-XX) 46 Ordinary differential equations (34-XX) 41 Quantum theory (81-XX) 16 Mechanics of particles and systems (70-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Special functions (33-XX) 7 Number theory (11-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 6 Mechanics of deformable solids (74-XX) 4 Sequences, series, summability (40-XX) 4 Fluid mechanics (76-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 3 Relativity and gravitational theory (83-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year