Edit Profile (opens in new tab) Macías-Díaz, Jorge Eduardo Co-Author Distance Author ID: macias-diaz.jorge-eduardo Published as: Macías-Díaz, J. E.; Macías-Díaz, Jorge E.; Macías-Díaz, Jorge Eduardo; Macias-Diaz, Jorge E. more...less External Links: MGP · ORCID Documents Indexed: 171 Publications since 2005, including 2 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 2 Reviews Co-Authors: 67 Co-Authors with 110 Joint Publications 737 Co-Co-Authors all top 5 Co-Authors 52 single-authored 17 Hendy, Ahmed S. 13 Gallegos, Armando 12 Puri, Ashok 10 Vargas-Rodríguez, Héctor 8 Medina-Ramírez, Iliana E. 7 Martínez, Romeo 7 Ruiz-Ramírez, Javier 5 Serna-Reyes, Adán J. 4 Alba-Pérez, Joel 4 Muñoz-Pérez, Luis F. 4 Sheng, Qin 4 Urenda-Cázares, Ernesto 4 Villa-Morales, José 3 Ahmed, Nauman 3 Avelar-González, F. J. 3 Bilal Khan, Muhammad 3 Delgado, Briceyda B. 3 Macías, Siegfried 3 Szafrańska, Anna 3 Zaky, Mahmoud A. 2 De Staelen, Rob H. 2 Esquivel-Frausto, M. E. 2 Flores-Oropeza, Luis A. 2 Flores, Salvador 2 González, Ana E. 2 Guillén-Villalobos, Aarón 2 Jerez Galiano, Silvia 2 Medina-Guevara, María G. 2 Morales-Hernández, M. D. 2 Mvogo, Alain 2 Noor, Muhammad Aslam 2 Togueu Motcheyo, A. B. 2 Tomasiello, Stefania 1 Abbas, Mudassar 1 Alghamdi, Safar M. 1 Ayala-Hernández, L. E. 1 Bertrand, Bodo 1 Ceballos-Lira, Marcos Josías 1 Chávez-Guzmán, Axel 1 de Jesús Barba-Franco, José 1 Domínguez, P. J. 1 Ervin, Vincent J. 1 Espinoza, P. B. 1 Fuchs, László 1 Garcia-Montoya, Nina 1 Garcia-Rubio, Raquel 1 Ghazanfar, Sidra 1 Gurrola-Ramos, L. M. 1 Inan, Bilge 1 Iqbal, Muhammad Sajid 1 Jabeen, Saudia 1 Jaimes-Reategui, Rider 1 Jawaz, Muhammad 1 Kabre, Julienne 1 Khan, Farhan Ullah 1 Kurmyshev, Evguenii V. 1 Landry, R. E. 1 Landry, R. S. 1 Miranda-Beltrán, M. L. 1 Noor, Khalida Inayat 1 Pimenov, Vladimir Germanovich 1 Piña-Villalpando, Luis E. 1 Raza, Ali Hassan 1 Reguera-López, Nuria 1 Reguera, Nuria 1 Rehman, Muhammad Aziz-Ur 1 Rejniak, Katarzyna A. 1 Soliman, Mohamed S. 1 Tiomela, Sedrique A. 1 Vigo-Aguiar, Jesus 1 Villalobos-Martínez, Héctor A. 1 Villegas-Villalpando, Brian 1 Zaini, Hatim Ghazi all top 5 Serials 22 Journal of Computational and Applied Mathematics 15 Communications in Nonlinear Science and Numerical Simulation 13 Applied Numerical Mathematics 13 Journal of Mathematical Chemistry 11 International Journal of Computer Mathematics 10 Journal of Difference Equations and Applications 6 Numerical Methods for Partial Differential Equations 5 Journal of Computational Physics 5 Applied Mathematics and Computation 4 Computer Physics Communications 4 Mathematical Methods in the Applied Sciences 4 International Journal of Modern Physics C 3 Computers & Mathematics with Applications 3 Mathematical Biosciences 3 Quaestiones Mathematicae 3 Applied Mathematics Letters 3 Applied Mathematical Modelling 3 Advances in Difference Equations 2 Journal of Scientific Computing 2 Nonlinear Dynamics 2 Discrete Dynamics in Nature and Society 2 International Journal of Computational Methods 2 International Journal of Algebra 2 Involve 1 Journal of Mathematical Analysis and Applications 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Wave Motion 1 Chaos, Solitons and Fractals 1 BIT 1 Demonstratio Mathematica 1 Mathematics and Computers in Simulation 1 Pacific Journal of Mathematics 1 Results in Mathematics 1 Revista Colombiana de Matemáticas 1 Physica D 1 Numerical Algorithms 1 Journal of Statistical Computation and Simulation 1 International Journal of Modern Physics D 1 Algebra Colloquium 1 Electronic Journal of Differential Equations (EJDE) 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Nonlinear Mathematical Physics 1 Journal of Algebra and its Applications 1 Waves in Random and Complex Media 1 Journal of Physics A: Mathematical and Theoretical 1 SIAM Journal on Imaging Sciences 1 International Journal of Biomathematics 1 Journal of Commutative Algebra all top 5 Fields 114 Numerical analysis (65-XX) 108 Partial differential equations (35-XX) 40 Biology and other natural sciences (92-XX) 16 Ordinary differential equations (34-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Real functions (26-XX) 9 Commutative algebra (13-XX) 9 Quantum theory (81-XX) 8 Probability theory and stochastic processes (60-XX) 7 Associative rings and algebras (16-XX) 6 Fluid mechanics (76-XX) 5 Relativity and gravitational theory (83-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Difference and functional equations (39-XX) 4 Integral equations (45-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 3 Information and communication theory, circuits (94-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 126 Publications have been cited 703 times in 365 Documents Cited by ▼ Year ▼ A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives. Zbl 1380.65164 Macías-Díaz, J. E. 65 2017 Semi-implicit Galerkin-Legendre spectral schemes for nonlinear time-space fractional diffusion-reaction equations with smooth and nonsmooth solutions. Zbl 1433.65247 Zaky, Mahmoud A.; Hendy, Ahmed S.; Macías-Díaz, Jorge E. 54 2020 An explicit dissipation-preserving method for Riesz space-fractional nonlinear wave equations in multiple dimensions. Zbl 1510.65200 Macías-Díaz, J. E. 35 2018 A compact fourth-order in space energy-preserving method for Riesz space-fractional nonlinear wave equations. Zbl 1429.65190 Macías-Díaz, J. E.; Hendy, A. S.; De Staelen, R. H. 34 2018 The numerical solution of a generalized Burgers-Huxley equation through a conditionally bounded and symmetry-preserving method. Zbl 1222.65095 Macías-Díaz, J. E.; Ruiz-Ramírez, J.; Villa, J. 29 2011 Numerical study of the process of nonlinear supratransmission in Riesz space-fractional sine-Gordon equations. Zbl 1485.35400 Macías-Díaz, J. E. 29 2017 A finite-difference scheme to approximate non-negative and bounded solutions of a FitzHugh-Nagumo equation. Zbl 1242.65170 Ruiz-Ramírez, J.; Macías-Díaz, J. E. 28 2011 A positive and bounded finite element approximation of the generalized Burgers-Huxley equation. Zbl 1306.65263 Ervin, V. J.; Macías-Díaz, J. E.; Ruiz-Ramírez, J. 22 2015 A numerically efficient and conservative model for a Riesz space-fractional Klein-Gordon-Zakharov system. Zbl 1464.65084 Hendy, Ahmed S.; Macías-Díaz, J. E. 22 2019 Numerical simulation of the nonlinear dynamics of harmonically driven Riesz-fractional extensions of the Fermi-Pasta-Ulam chains. Zbl 1510.82018 Macías-Díaz, Jorge E. 21 2018 A non-standard symmetry-preserving method to compute bounded solutions of a generalized Newell-Whitehead-Segel equation. Zbl 1366.65079 Macías-Díaz, J. E.; Ruiz-Ramírez, J. 20 2011 An explicit positivity-preserving finite-difference scheme for the classical Fisher-Kolmogorov-Petrovsky-Piscounov equation. Zbl 1244.65125 Macías-Díaz, Jorge Eduardo; Puri, Ashok 20 2012 Sufficient conditions for the preservation of the boundedness in a numerical method for a physical model with transport memory and nonlinear damping. Zbl 1308.65145 Macías-Díaz, J. E. 20 2011 An efficient recursive algorithm in the computational simulation of the bounded growth of biological films. Zbl 1359.76207 Morales-Hernández, M. D.; Medina-Ramírez, I. E.; Avelar-González, F. J.; Macías-Díaz, J. E. 19 2012 A boundedness-preserving finite-difference scheme for a damped nonlinear wave equation. Zbl 1195.65110 Macías-Díaz, J. E.; Puri, A. 19 2010 A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives. Zbl 07694296 Macías-Díaz, J. E.; Hendy, A. S.; De Staelen, R. H. 19 2018 A numerically efficient dissipation-preserving implicit method for a nonlinear multidimensional fractional wave equation. Zbl 1407.65119 Macías-Díaz, Jorge E. 19 2018 An energy-based computational method in the analysis of the transmission of energy in a chain of coupled oscillators. Zbl 1135.65342 Macías-Díaz, J. E.; Puri, A. 18 2008 On the transmission of binary bits in discrete Josephson-junction arrays. Zbl 1221.60056 Macías-Díaz, J. E.; Puri, A. 18 2008 An implicit four-step computational method in the study on the effects of damping in a modified Fermi-Pasta-Ulam medium. Zbl 1221.82094 Macías-Díaz, J. E.; Medina-Ramírez, I. E. 18 2009 Persistence of nonlinear hysteresis in fractional models of Josephson transmission lines. Zbl 1510.94055 Macías-Díaz, J. E. 18 2017 On the propagation of binary signals in damped mechanical systems of oscillators. Zbl 1112.70021 Macías-Díaz, J. E.; Puri, A. 17 2007 Existence and uniqueness of monotone and bounded solutions for a finite-difference discretization à la Mickens of the generalized Burgers-Huxley equation. Zbl 1291.65368 Macías-Díaz, J. E.; Szafrańska, Anna 17 2014 A novel discrete Gronwall inequality in the analysis of difference schemes for time-fractional multi-delayed diffusion equations. Zbl 1464.65085 Hendy, Ahmed S.; Macías-Díaz, J. E. 17 2019 A numerical method for computing radially symmetric solutions of a dissipative nonlinear modified Klein-Gordon equation. Zbl 1163.65323 Macías-Díaz, J. E.; Puri, A. 16 2005 A deterministic model for the distribution of the stopping time in a stochastic equation and its numerical solution. Zbl 1357.65012 Macías-Díaz, J. E.; Villa-Morales, J. 16 2017 Numerical treatment of the spherically symmetric solutions of a generalized Fisher-Kolmogorov-Petrovsky-Piscounov equation. Zbl 1169.65103 Macías-Díaz, J. E.; Medina-Ramírez, I. E.; Puri, A. 15 2009 A differential quadrature-based approach à la Picard for systems of partial differential equations associated with fuzzy differential equations. Zbl 1333.65119 Macías-Díaz, J. E.; Tomasiello, Stefania 14 2016 On the convergence of a finite-difference discretization à la Mickens of the generalized Burgers-Huxley equation. Zbl 1304.65206 Szafrańska, Anna; Macías-Díaz, J. E. 13 2014 A numerical method with properties of consistency in the energy domain for a class of dissipative nonlinear wave equations with applications to a Dirichlet boundary-value problem. Zbl 1153.65085 Macías-Díaz, J. E.; Puri, A. 13 2008 A convergent and dynamically consistent finite-difference method to approximate the positive and bounded solutions of the classical Burgers-Fisher equation. Zbl 1357.65123 Macías-Díaz, J. E.; González, A. E. 12 2017 On the solution of a Riesz space-fractional nonlinear wave equation through an efficient and energy-invariant scheme. Zbl 1499.65412 Macías-Díaz, J. E. 12 2019 Theoretical analysis of an explicit energy-conserving scheme for a fractional Klein-Gordon-Zakharov system. Zbl 1428.35595 Martínez, Romeo; Macías-Díaz, J. E.; Hendy, Ahmed S. 11 2019 On some explicit non-standard methods to approximate nonnegative solutions of a weakly hyperbolic equation with logistic nonlinearity. Zbl 1242.65166 Macías-Díaz, J. E.; Puri, A. 10 2011 Design of a nonlinear model for the propagation of COVID-19 and its efficient nonstandard computational implementation. Zbl 1481.92158 Rafiq, Muhammad; Macías-Díaz, J. E.; Raza, Ali; Ahmed, Nauman 10 2021 Convergence and stability estimates in difference setting for time-fractional parabolic equations with functional delay. Zbl 1452.65159 Hendy, Ahmed S.; Pimenov, Vladimir G.; Macías-Díaz, Jorge E. 10 2020 A Mickens-type monotone discretization for bounded travelling-wave solutions of a Burgers-Fisher partial differential equation. Zbl 1287.65063 Macías-Díaz, J. E. 10 2013 On a boundedness-preserving semi-linear discretization of a two-dimensional nonlinear diffusion–reaction model. Zbl 1255.92016 Macías-Díaz, J. E. 10 2012 On the solution of hyperbolic two-dimensional fractional systems via discrete variational schemes of high order of accuracy. Zbl 1422.65155 Hendy, Ahmed S.; Macías-Díaz, J. E.; Serna-Reyes, Adán J. 10 2019 A positive finite-difference model in the computational simulation of complex biological film models. Zbl 1319.92046 Macías-Díaz, J. E. 9 2014 A modified exponential method that preserves structural properties of the solutions of the Burgers-Huxley equation. Zbl 1390.65077 Macías-Díaz, J. E. 7 2018 A modified Bhattacharya exponential method to approximate positive and bounded solutions of the Burgers-Fisher equation. Zbl 1357.65122 Macías-Díaz, J. E.; Gallegos, Armando; Vargas-Rodríguez, H. 7 2017 On the solution of a generalized Higgs boson equation in the de Sitter space-time through an efficient and Hamiltonian scheme. Zbl 1437.65109 Muñoz-Pérez, Luis F.; Macías-Díaz, J. E. 7 2020 An energy-preserving and efficient scheme for a double-fractional conservative Klein-Gordon-Zakharov system. Zbl 1450.35235 Martínez, Romeo; Macías-Díaz, Jorge E. 7 2020 On a fully discrete finite-difference approximation of a nonlinear diffusion-reaction model in microbial ecology. Zbl 1291.65269 Medina-Ramírez, I. E.; Macías-Díaz, J. E. 7 2013 On the controlled propagation of wave signals in a sinusoidally forced two-dimensional continuous Frenkel-Kontorova model. Zbl 1229.82169 Macías-Díaz, J. E. 6 2011 On an exact numerical simulation of solitary-wave solutions of the Burgers-Huxley equation through Cardano’s method. Zbl 1306.65244 Macías-Díaz, J. E. 6 2014 A finite-difference scheme in the computational modelling of a coupled substrate-biomass system. Zbl 1302.65195 Macías-Díaz, J. E.; Landry, R. E.; Puri, A. 6 2014 A bounded finite-difference discretization of a two-dimensional diffusion equation with logistic nonlinear reaction. Zbl 1259.35207 Macías-Díaz, J. E. 6 2011 On the simulation of the energy transmission in the forbidden band-gap of a spatially discrete double sine-Gordon system. Zbl 1219.82029 Macías-Díaz, J. E. 5 2010 Nonlinear supratransmission and nonlinear bistability in a forced linear array of anharmonic oscillators: a computational study. Zbl 1185.82040 Macías-Díaz, J. E.; Medina-Ramírez, I. E. 5 2009 On the convergence of a nonlinear finite-difference discretization of the generalized Burgers-Fisher equation. Zbl 1314.65118 Szafrańska, Anna; Macías-Díaz, J. E. 5 2015 Existence of solutions of an explicit energy-conserving scheme for a fractional Klein-Gordon-Zakharov system. Zbl 1433.65161 Macías-Díaz, J. E. 5 2020 An implicit semi-linear discretization of a bi-fractional Klein-Gordon-Zakharov system which conserves the total energy. Zbl 1475.35321 Martínez, Romeo; Macías-Díaz, Jorge E.; Sheng, Qin 5 2021 A dissipation-preserving finite-difference scheme for a generalized Higgs boson equation in the de Sitter space-time. Zbl 1465.65079 Muñoz-Pérez, Luis F.; Macías-Díaz, J. E.; Guerrero, J. A. 5 2020 A skew symmetry-preserving computational technique for obtaining the positive and the bounded solutions of a time-delayed advection-diffusion-reaction equation. Zbl 1285.65056 Ruiz-Ramírez, J.; Macías-Díaz, J. E. 5 2013 An efficient Hamiltonian numerical model for a fractional Klein-Gordon equation through weighted-shifted Grünwald differences. Zbl 1417.81128 Hendy, Ahmed S.; Macías-Díaz, Jorge E. 5 2019 Bit propagation in \((2+1)\)-dimensional systems of coupled sine-Gordon equations. Zbl 1221.35243 Macías-Díaz, J. E. 4 2009 Two finite-difference schemes that preserve the dissipation of energy in a system of modified wave equations. Zbl 1221.65225 Macías-Díaz, J. E.; Jerez-Galiano, S. 4 2010 Existence and uniqueness of positive and bounded solutions of a discrete population model with fractional dynamics. Zbl 1369.92099 Macías-Díaz, J. E. 4 2017 On \(S^1\) as an alternative continuous opinion space in a three-party regime. Zbl 1382.91069 Medina-Guevara, M. G.; Macías-Díaz, J. E.; Gallegos, A.; Vargas-Rodríguez, H. 4 2017 Theoretical analysis of a conservative finite-difference scheme to solve a Riesz space-fractional Gross-Pitaevskii system. Zbl 1486.65129 Serna-Reyes, Adán J.; Macías-Díaz, J. E. 4 2022 A dynamically consistent method to solve nonlinear multidimensional advection-reaction equations with fractional diffusion. Zbl 1406.65076 Macías-Díaz, J. E. 4 2018 Conciliating efficiency and dynamical consistency in the simulation of the effects of proliferation and motility of transforming growth factor \(\beta\) on cancer cells. Zbl 1510.92081 Macías-Díaz, J. E. 4 2016 Simple numerical method to study traveling-wave solutions of a diffusive problem with nonlinear advection and reaction. Zbl 1274.65237 Macias-Diaz, Jorge; Villa, J. 4 2013 Activity pattern detection in electroneurographic and electromyogram signals through a heteroscedastic change-point method. Zbl 1188.92021 Esquivel-Frausto, M. E.; Guerrero, J. A.; Macías-Díaz, J. E. 3 2010 On completely decomposable and separable modules over Prüfer domains. Zbl 1237.13023 Fuchs, László; Macías-Díaz, Jorge E. 3 2010 A computational technique with multiple properties of consistency in the study of modified \(\beta \)-Fermi-Pasta-Ulam chains. Zbl 1222.37080 Macías-Díaz, J. E. 3 2010 A bounded numerical method for approximating a hyperbolic and convective generalization of Fisher’s model with nonlinear damping. Zbl 1242.65165 Macías-Díaz, J. E. 3 2012 Positivity-preserving methods for a linearised Fisher-KPP equation with consistency properties in the energy domain. Zbl 1188.65121 Macías-Díaz, J. E.; Jerez-Galiano, S.; Puri, A. 3 2010 On an efficient implementation and mass boundedness conditions for a discrete Dirichlet problem associated with a nonlinear system of singular partial differential equations. Zbl 1336.65138 Macías-Díaz, J. E.; Avelar-González, F. J.; Landry, R. S. 3 2015 Corrigendum: “An efficient recursive algorithm in the computational modeling of the bounded growth of biological films”. Zbl 1359.76208 Morales-Hernández, M. D.; Medina-Ramírez, I. E.; Avelar-González, F. J.; Macías-Díaz, J. E. 3 2013 Finite-difference modeling à la Mickens of the distribution of the stopping time in a stochastic differential equation. Zbl 1376.65003 Macías-Díaz, J. E.; Villa-Morales, J. 3 2017 A compact exponential method for the efficient numerical simulation of the dewetting process of viscous thin films. Zbl 1360.76035 Macías-Díaz, Jorge E.; Medina-Ramírez, Iliana E.; Chávez-Guzmán, Axel 3 2017 Analysis and simulation of numerical schemes for nonlinear hyperbolic predator-prey models with spatial diffusion. Zbl 1481.65147 Macías-Díaz, J. E.; Vargas-Rodríguez, Héctor 3 2022 Corrigendum to: “A numerically efficient and conservative model for a Riesz space-fractional Klein-Gordon-Zakharov system”. Zbl 1470.65152 Martínez, Romeo; Macías-Díaz, J. E.; Hendy, A. S. 3 2020 Complex pattern formation arising from wave instabilities in a three-agent chemical system with superdiffusion. Zbl 1414.92238 Mvogo, Alain; Macías-Díaz, Jorge E. 3 2019 A conservative scheme with optimal error estimates for a multidimensional space-fractional Gross-Pitaevskii equation. Zbl 1434.65119 Hendy, Ahmed S.; Macías-Díaz, Jorge E. 3 2019 Two energy-preserving numerical models for a multi-fractional extension of the Klein-Gordon-Zakharov system. Zbl 1486.65117 Macías-Díaz, Jorge E.; Martínez, Romeo; Sheng, Qin 3 2022 A bounded and efficient scheme for multidimensional problems with anomalous convection and diffusion. Zbl 1419.65025 Macías-Díaz, J. E. 3 2018 An efficient and fully explicit model to simulate delayed activator-inhibitor systems with anomalous diffusion. Zbl 1421.92042 Macías-Díaz, Jorge E. 3 2019 A generalization of Osgood’s test and a comparison criterion for integral equations with noise. Zbl 1206.45005 Ceballos-Lira, Marcos J.; Macias-Diaz, Jorge E.; Villa, Jose 2 2011 A generalization of the Pontryagin-Hill theorems to projective modules over Prüfer domains. Zbl 1205.13014 Macías-Díaz, Jorge 2 2010 Computational study of the transmission of energy in a two-dimensional lattice with nearest-neighbor interactions. Zbl 1200.82041 Macías-Díaz, J. E.; Ruiz-Ramírez, J.; Flores-Oropeza, L. A. 2 2009 Positive computational modelling of the dynamics of active and inert biomass with extracellular polymeric substances. Zbl 1325.92060 Macías-Díaz, J. E. 2 2015 On a conditionally stable nonlinear method to approximate some monotone and bounded solutions of a generalized population model. Zbl 1365.92101 Macías-Díaz, J. E.; Rejniak, K. A. 2 2014 Design and numerical analysis of a logarithmic scheme for nonlinear fractional diffusion-reaction equations. Zbl 1524.65376 Macías-Díaz, J. E.; Gallegos, A. 2 2022 A numerically efficient Hamiltonian method for fractional wave equations. Zbl 1427.65175 Macías-Díaz, J. E. 2 2018 An integral of motion for the damped cubic-quintic Duffing oscillator with variable coefficients. Zbl 1475.70015 Urenda-Cázares, Ernesto; Gallegos, A.; Macías-Díaz, J. E.; Vargas-Rodríguez, H. 2 2019 Fractional generalization of the Fermi-Pasta-Ulam-Tsingou media and theoretical analysis of an explicit variational scheme. Zbl 1452.65202 Macías-Díaz, J. E. 2 2020 A numerically efficient variational algorithm to solve a fractional nonlinear elastic string equation. Zbl 1456.65074 Macías-Díaz, Jorge E. 2 2021 An explicit finite-difference method for the approximate solutions of a generic class of anharmonic dissipative nonlinear media. Zbl 1210.65139 Macías-Díaz, Jorge Eduardo 2 2010 Energy transmission in the forbidden band-gap of a nonlinear chain with global interactions. Zbl 1519.92369 Togueu Motcheyo, A. B.; Macías-Díaz, J. E. 2 2020 A structure-preserving method for the distribution of the first hitting time to a moving boundary for some Gaussian processes. Zbl 1394.60033 Macías-Díaz, J. E.; Villa-Morales, J. 2 2017 On the numerical and structural properties of a logarithmic scheme for diffusion-reaction equations. Zbl 1435.65129 Macías-Díaz, J. E. 2 2019 A structure-preserving computational method in the simulation of the dynamics of cancer growth with radiotherapy. Zbl 1401.92108 Macías-Díaz, Jorge E.; Gallegos, Armando 2 2018 The noisy Pais-Uhlenbeck oscillator. Zbl 1417.81130 Urenda-Cázares, E.; Espinoza, P. B.; Gallegos, A.; Jaimes-Reátegui, R.; Macías-Díaz, J. E.; Vargas-Rodríguez, H. 2 2019 On the generation of localized nonlinear modes in a linear array of anharmonic oscillators. Zbl 1179.82087 Macías-Díaz, J. E.; Medina-Ramírez, I. E.; Puri, A. 1 2009 A mathematical model for the pre-diagnostic of glioma growth based on blood glucose levels. Zbl 1384.92037 Ayala-Hernández, L. E.; Gallegos, Armando; Macías-Díaz, J. E.; Miranda-Beltrán, M. L.; Vargas-Rodríguez, H. 1 2018 On the bifurcation of energy in media governed by \((2+1)\)-dimensional modified Klein-Gordon equations. Zbl 1166.65043 Macías-Díaz, Jorge Eduardo 1 2008 High-order finite difference/spectral-Galerkin approximations for the nonlinear time-space fractional Ginzburg-Landau equation. Zbl 07769130 Zaky, Mahmoud A.; Hendy, Ahmed S.; Macías-Díaz, Jorge E. 1 2023 Theoretical analysis of a conservative finite-difference scheme to solve a Riesz space-fractional Gross-Pitaevskii system. Zbl 1486.65129 Serna-Reyes, Adán J.; Macías-Díaz, J. E. 4 2022 Analysis and simulation of numerical schemes for nonlinear hyperbolic predator-prey models with spatial diffusion. Zbl 1481.65147 Macías-Díaz, J. E.; Vargas-Rodríguez, Héctor 3 2022 Two energy-preserving numerical models for a multi-fractional extension of the Klein-Gordon-Zakharov system. Zbl 1486.65117 Macías-Díaz, Jorge E.; Martínez, Romeo; Sheng, Qin 3 2022 Design and numerical analysis of a logarithmic scheme for nonlinear fractional diffusion-reaction equations. Zbl 1524.65376 Macías-Díaz, J. E.; Gallegos, A. 2 2022 On a discrete model that dissipates the free energy of a time-space fractional generalized nonlinear parabolic equation. Zbl 1484.65184 Macías-Díaz, J. E. 1 2022 A nonlinear discrete model for approximating a conservative multi-fractional Zakharov system: analysis and computational simulations. Zbl 07578504 Martínez, Romeo; Macías-Díaz, Jorge E.; Sheng, Qin 1 2022 CMMSE: analysis and comparison of some numerical methods to solve a nonlinear fractional Gross-Pitaevskii system. Zbl 1498.81147 Serna-Reyes, Adán; Macías-Díaz, Jorge E.; Gallegos, Armando; Reguera, Nuria 1 2022 Design of a nonlinear model for the propagation of COVID-19 and its efficient nonstandard computational implementation. Zbl 1481.92158 Rafiq, Muhammad; Macías-Díaz, J. E.; Raza, Ali; Ahmed, Nauman 10 2021 An implicit semi-linear discretization of a bi-fractional Klein-Gordon-Zakharov system which conserves the total energy. Zbl 1475.35321 Martínez, Romeo; Macías-Díaz, Jorge E.; Sheng, Qin 5 2021 A numerically efficient variational algorithm to solve a fractional nonlinear elastic string equation. Zbl 1456.65074 Macías-Díaz, Jorge E. 2 2021 Exact solutions of non-linear Klein-Gordon equation with non-constant coefficients through the trial equation method. Zbl 1466.81014 Macías-Díaz, Jorge E.; Medina-Guevara, María G.; Vargas-Rodríguez, Héctor 1 2021 A positive and bounded convergent scheme for general space-fractional diffusion-reaction systems with inertial times. Zbl 1480.65201 Alba-Pérez, J.; Macías-Díaz, J. E. 1 2021 A dissipation-preserving scheme to approximate radially symmetric solutions of the Higgs boson equation in the de Sitter space-time. Zbl 1466.65073 Macías-Díaz, J. E. 1 2021 Semi-implicit Galerkin-Legendre spectral schemes for nonlinear time-space fractional diffusion-reaction equations with smooth and nonsmooth solutions. Zbl 1433.65247 Zaky, Mahmoud A.; Hendy, Ahmed S.; Macías-Díaz, Jorge E. 54 2020 Convergence and stability estimates in difference setting for time-fractional parabolic equations with functional delay. Zbl 1452.65159 Hendy, Ahmed S.; Pimenov, Vladimir G.; Macías-Díaz, Jorge E. 10 2020 On the solution of a generalized Higgs boson equation in the de Sitter space-time through an efficient and Hamiltonian scheme. Zbl 1437.65109 Muñoz-Pérez, Luis F.; Macías-Díaz, J. E. 7 2020 An energy-preserving and efficient scheme for a double-fractional conservative Klein-Gordon-Zakharov system. Zbl 1450.35235 Martínez, Romeo; Macías-Díaz, Jorge E. 7 2020 Existence of solutions of an explicit energy-conserving scheme for a fractional Klein-Gordon-Zakharov system. Zbl 1433.65161 Macías-Díaz, J. E. 5 2020 A dissipation-preserving finite-difference scheme for a generalized Higgs boson equation in the de Sitter space-time. Zbl 1465.65079 Muñoz-Pérez, Luis F.; Macías-Díaz, J. E.; Guerrero, J. A. 5 2020 Corrigendum to: “A numerically efficient and conservative model for a Riesz space-fractional Klein-Gordon-Zakharov system”. Zbl 1470.65152 Martínez, Romeo; Macías-Díaz, J. E.; Hendy, A. S. 3 2020 Fractional generalization of the Fermi-Pasta-Ulam-Tsingou media and theoretical analysis of an explicit variational scheme. Zbl 1452.65202 Macías-Díaz, J. E. 2 2020 Energy transmission in the forbidden band-gap of a nonlinear chain with global interactions. Zbl 1519.92369 Togueu Motcheyo, A. B.; Macías-Díaz, J. E. 2 2020 A parallelized computational model for multidimensional systems of coupled nonlinear fractional hyperbolic equations. Zbl 1453.65227 Macías-Díaz, J. E. 1 2020 A mathematical model that combines chemotherapy and oncolytic virotherapy as an alternative treatment against a glioma. Zbl 1432.92048 Urenda-Cázares, E.; Gallegos, A.; Macías-Díaz, J. E. 1 2020 Simple efficient simulation of the complex dynamics of some nonlinear hyperbolic predator-prey models with spatial diffusion. Zbl 1481.92108 Macías-Díaz, J. E. 1 2020 A fully explicit variational integrator for multidimensional systems of coupled nonlinear fractional hyperbolic equations. Zbl 1437.65106 Macías-Díaz, J. E. 1 2020 A numerically efficient and conservative model for a Riesz space-fractional Klein-Gordon-Zakharov system. Zbl 1464.65084 Hendy, Ahmed S.; Macías-Díaz, J. E. 22 2019 A novel discrete Gronwall inequality in the analysis of difference schemes for time-fractional multi-delayed diffusion equations. Zbl 1464.65085 Hendy, Ahmed S.; Macías-Díaz, J. E. 17 2019 On the solution of a Riesz space-fractional nonlinear wave equation through an efficient and energy-invariant scheme. Zbl 1499.65412 Macías-Díaz, J. E. 12 2019 Theoretical analysis of an explicit energy-conserving scheme for a fractional Klein-Gordon-Zakharov system. Zbl 1428.35595 Martínez, Romeo; Macías-Díaz, J. E.; Hendy, Ahmed S. 11 2019 On the solution of hyperbolic two-dimensional fractional systems via discrete variational schemes of high order of accuracy. Zbl 1422.65155 Hendy, Ahmed S.; Macías-Díaz, J. E.; Serna-Reyes, Adán J. 10 2019 An efficient Hamiltonian numerical model for a fractional Klein-Gordon equation through weighted-shifted Grünwald differences. Zbl 1417.81128 Hendy, Ahmed S.; Macías-Díaz, Jorge E. 5 2019 Complex pattern formation arising from wave instabilities in a three-agent chemical system with superdiffusion. Zbl 1414.92238 Mvogo, Alain; Macías-Díaz, Jorge E. 3 2019 A conservative scheme with optimal error estimates for a multidimensional space-fractional Gross-Pitaevskii equation. Zbl 1434.65119 Hendy, Ahmed S.; Macías-Díaz, Jorge E. 3 2019 An efficient and fully explicit model to simulate delayed activator-inhibitor systems with anomalous diffusion. Zbl 1421.92042 Macías-Díaz, Jorge E. 3 2019 An integral of motion for the damped cubic-quintic Duffing oscillator with variable coefficients. Zbl 1475.70015 Urenda-Cázares, Ernesto; Gallegos, A.; Macías-Díaz, J. E.; Vargas-Rodríguez, H. 2 2019 On the numerical and structural properties of a logarithmic scheme for diffusion-reaction equations. Zbl 1435.65129 Macías-Díaz, J. E. 2 2019 The noisy Pais-Uhlenbeck oscillator. Zbl 1417.81130 Urenda-Cázares, E.; Espinoza, P. B.; Gallegos, A.; Jaimes-Reátegui, R.; Macías-Díaz, J. E.; Vargas-Rodríguez, H. 2 2019 Algorithm for some anomalously diffusive hyperbolic systems in molecular dynamics: theoretical analysis and pattern formation. Zbl 1453.65274 Macías-Díaz, J. E.; Hendy, A. S. 1 2019 Nonlinear supratransmission in fractional wave systems. Zbl 1414.92243 Piña-Villalpando, Luis E.; Macías-Díaz, Jorge E.; Kurmyshev, Evguenii 1 2019 Numerical efficiency of some exponential methods for an advection-diffusion equation. Zbl 1499.65413 Macías-Díaz, Jorge Eduardo; İnan, Bilge 1 2019 Special issue: Selected papers of CMMSE. Zbl 1427.00080 1 2019 An explicit dissipation-preserving method for Riesz space-fractional nonlinear wave equations in multiple dimensions. Zbl 1510.65200 Macías-Díaz, J. E. 35 2018 A compact fourth-order in space energy-preserving method for Riesz space-fractional nonlinear wave equations. Zbl 1429.65190 Macías-Díaz, J. E.; Hendy, A. S.; De Staelen, R. H. 34 2018 Numerical simulation of the nonlinear dynamics of harmonically driven Riesz-fractional extensions of the Fermi-Pasta-Ulam chains. Zbl 1510.82018 Macías-Díaz, Jorge E. 21 2018 A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives. Zbl 07694296 Macías-Díaz, J. E.; Hendy, A. S.; De Staelen, R. H. 19 2018 A numerically efficient dissipation-preserving implicit method for a nonlinear multidimensional fractional wave equation. Zbl 1407.65119 Macías-Díaz, Jorge E. 19 2018 A modified exponential method that preserves structural properties of the solutions of the Burgers-Huxley equation. Zbl 1390.65077 Macías-Díaz, J. E. 7 2018 A dynamically consistent method to solve nonlinear multidimensional advection-reaction equations with fractional diffusion. Zbl 1406.65076 Macías-Díaz, J. E. 4 2018 A bounded and efficient scheme for multidimensional problems with anomalous convection and diffusion. Zbl 1419.65025 Macías-Díaz, J. E. 3 2018 A numerically efficient Hamiltonian method for fractional wave equations. Zbl 1427.65175 Macías-Díaz, J. E. 2 2018 A structure-preserving computational method in the simulation of the dynamics of cancer growth with radiotherapy. Zbl 1401.92108 Macías-Díaz, Jorge E.; Gallegos, Armando 2 2018 A mathematical model for the pre-diagnostic of glioma growth based on blood glucose levels. Zbl 1384.92037 Ayala-Hernández, L. E.; Gallegos, Armando; Macías-Díaz, J. E.; Miranda-Beltrán, M. L.; Vargas-Rodríguez, H. 1 2018 Superenergy flux of Einstein-Rosen waves. Zbl 1430.83029 Domínguez, P. J.; Gallegos, A.; Macías-Díaz, J. E.; Vargas-Rodríguez, H. 1 2018 Traveling-wave solutions of a generalized damped wave equation with time-dependent coefficients through the trial equation method. Zbl 1403.35072 Macías-Díaz, Jorge E.; Vargas-Rodríguez, Héctor 1 2018 A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives. Zbl 1380.65164 Macías-Díaz, J. E. 65 2017 Numerical study of the process of nonlinear supratransmission in Riesz space-fractional sine-Gordon equations. Zbl 1485.35400 Macías-Díaz, J. E. 29 2017 Persistence of nonlinear hysteresis in fractional models of Josephson transmission lines. Zbl 1510.94055 Macías-Díaz, J. E. 18 2017 A deterministic model for the distribution of the stopping time in a stochastic equation and its numerical solution. Zbl 1357.65012 Macías-Díaz, J. E.; Villa-Morales, J. 16 2017 A convergent and dynamically consistent finite-difference method to approximate the positive and bounded solutions of the classical Burgers-Fisher equation. Zbl 1357.65123 Macías-Díaz, J. E.; González, A. E. 12 2017 A modified Bhattacharya exponential method to approximate positive and bounded solutions of the Burgers-Fisher equation. Zbl 1357.65122 Macías-Díaz, J. E.; Gallegos, Armando; Vargas-Rodríguez, H. 7 2017 Existence and uniqueness of positive and bounded solutions of a discrete population model with fractional dynamics. Zbl 1369.92099 Macías-Díaz, J. E. 4 2017 On \(S^1\) as an alternative continuous opinion space in a three-party regime. Zbl 1382.91069 Medina-Guevara, M. G.; Macías-Díaz, J. E.; Gallegos, A.; Vargas-Rodríguez, H. 4 2017 Finite-difference modeling à la Mickens of the distribution of the stopping time in a stochastic differential equation. Zbl 1376.65003 Macías-Díaz, J. E.; Villa-Morales, J. 3 2017 A compact exponential method for the efficient numerical simulation of the dewetting process of viscous thin films. Zbl 1360.76035 Macías-Díaz, Jorge E.; Medina-Ramírez, Iliana E.; Chávez-Guzmán, Axel 3 2017 A structure-preserving method for the distribution of the first hitting time to a moving boundary for some Gaussian processes. Zbl 1394.60033 Macías-Díaz, J. E.; Villa-Morales, J. 2 2017 A bounded linear integrator for some diffusive nonlinear time-dependent partial differential equations. Zbl 1357.65124 Macías-Díaz, J. E.; Guerrero, J. A. 1 2017 A differential quadrature-based approach à la Picard for systems of partial differential equations associated with fuzzy differential equations. Zbl 1333.65119 Macías-Díaz, J. E.; Tomasiello, Stefania 14 2016 Conciliating efficiency and dynamical consistency in the simulation of the effects of proliferation and motility of transforming growth factor \(\beta\) on cancer cells. Zbl 1510.92081 Macías-Díaz, J. E. 4 2016 An equivalence criterion for the generalized injectivity of modules with respect to algebraic classes of homomorphisms. Zbl 1353.13007 Macías-Díaz, Jorge E.; Macías, Siegfried 1 2016 A positive and bounded finite element approximation of the generalized Burgers-Huxley equation. Zbl 1306.65263 Ervin, V. J.; Macías-Díaz, J. E.; Ruiz-Ramírez, J. 22 2015 On the convergence of a nonlinear finite-difference discretization of the generalized Burgers-Fisher equation. Zbl 1314.65118 Szafrańska, Anna; Macías-Díaz, J. E. 5 2015 On an efficient implementation and mass boundedness conditions for a discrete Dirichlet problem associated with a nonlinear system of singular partial differential equations. Zbl 1336.65138 Macías-Díaz, J. E.; Avelar-González, F. J.; Landry, R. S. 3 2015 Positive computational modelling of the dynamics of active and inert biomass with extracellular polymeric substances. Zbl 1325.92060 Macías-Díaz, J. E. 2 2015 An integro-differential generalization and dynamically consistent discretizations of some hyperbolic models with nonlinear damping. Zbl 1328.65275 Macías-Díaz, J. E. 1 2015 On modules which are isomorphic to relatively divisible or pure submodules of each other. Zbl 1406.13007 Macías-Díaz, J. E. 1 2015 A Mickens-type discretization of a diffusive model with nonpolynomial advection/convection and reaction terms. Zbl 1316.65077 Macías-Díaz, Jorge E.; Villa-Morales, José 1 2015 Some remarks on an exact and dynamically consistent scheme for the Burgers-Huxley equation in higher dimensions. Zbl 1422.65449 Macías-Díaz, Jorge Eduardo; González, Ana E. 1 2015 Existence and uniqueness of monotone and bounded solutions for a finite-difference discretization à la Mickens of the generalized Burgers-Huxley equation. Zbl 1291.65368 Macías-Díaz, J. E.; Szafrańska, Anna 17 2014 On the convergence of a finite-difference discretization à la Mickens of the generalized Burgers-Huxley equation. Zbl 1304.65206 Szafrańska, Anna; Macías-Díaz, J. E. 13 2014 A positive finite-difference model in the computational simulation of complex biological film models. Zbl 1319.92046 Macías-Díaz, J. E. 9 2014 On an exact numerical simulation of solitary-wave solutions of the Burgers-Huxley equation through Cardano’s method. Zbl 1306.65244 Macías-Díaz, J. E. 6 2014 A finite-difference scheme in the computational modelling of a coupled substrate-biomass system. Zbl 1302.65195 Macías-Díaz, J. E.; Landry, R. E.; Puri, A. 6 2014 On a conditionally stable nonlinear method to approximate some monotone and bounded solutions of a generalized population model. Zbl 1365.92101 Macías-Díaz, J. E.; Rejniak, K. A. 2 2014 A computational method for the detection of activation/deactivation patterns in biological signals with three levels of electric intensity. Zbl 1310.92032 Guerrero, J. A.; Macías-Díaz, J. E. 1 2014 A Mickens-type monotone discretization for bounded travelling-wave solutions of a Burgers-Fisher partial differential equation. Zbl 1287.65063 Macías-Díaz, J. E. 10 2013 On a fully discrete finite-difference approximation of a nonlinear diffusion-reaction model in microbial ecology. Zbl 1291.65269 Medina-Ramírez, I. E.; Macías-Díaz, J. E. 7 2013 A skew symmetry-preserving computational technique for obtaining the positive and the bounded solutions of a time-delayed advection-diffusion-reaction equation. Zbl 1285.65056 Ruiz-Ramírez, J.; Macías-Díaz, J. E. 5 2013 Simple numerical method to study traveling-wave solutions of a diffusive problem with nonlinear advection and reaction. Zbl 1274.65237 Macias-Diaz, Jorge; Villa, J. 4 2013 Corrigendum: “An efficient recursive algorithm in the computational modeling of the bounded growth of biological films”. Zbl 1359.76208 Morales-Hernández, M. D.; Medina-Ramírez, I. E.; Avelar-González, F. J.; Macías-Díaz, J. E. 3 2013 Computational approximation of the likelihood ratio for testing the existence of change-points in a heteroscedastic series. Zbl 1453.62630 Esquivel-Frausto, M. E.; Guerrero, J. A.; Macías-Díaz, J. E. 1 2013 An explicit positivity-preserving finite-difference scheme for the classical Fisher-Kolmogorov-Petrovsky-Piscounov equation. Zbl 1244.65125 Macías-Díaz, Jorge Eduardo; Puri, Ashok 20 2012 An efficient recursive algorithm in the computational simulation of the bounded growth of biological films. Zbl 1359.76207 Morales-Hernández, M. D.; Medina-Ramírez, I. E.; Avelar-González, F. J.; Macías-Díaz, J. E. 19 2012 On a boundedness-preserving semi-linear discretization of a two-dimensional nonlinear diffusion–reaction model. Zbl 1255.92016 Macías-Díaz, J. E. 10 2012 A bounded numerical method for approximating a hyperbolic and convective generalization of Fisher’s model with nonlinear damping. Zbl 1242.65165 Macías-Díaz, J. E. 3 2012 The numerical solution of a generalized Burgers-Huxley equation through a conditionally bounded and symmetry-preserving method. Zbl 1222.65095 Macías-Díaz, J. E.; Ruiz-Ramírez, J.; Villa, J. 29 2011 A finite-difference scheme to approximate non-negative and bounded solutions of a FitzHugh-Nagumo equation. Zbl 1242.65170 Ruiz-Ramírez, J.; Macías-Díaz, J. E. 28 2011 A non-standard symmetry-preserving method to compute bounded solutions of a generalized Newell-Whitehead-Segel equation. Zbl 1366.65079 Macías-Díaz, J. E.; Ruiz-Ramírez, J. 20 2011 Sufficient conditions for the preservation of the boundedness in a numerical method for a physical model with transport memory and nonlinear damping. Zbl 1308.65145 Macías-Díaz, J. E. 20 2011 ...and 26 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 557 Authors 73 Macías-Díaz, Jorge Eduardo 32 Hendy, Ahmed S. 28 Zaky, Mahmoud A. 9 Doha, Eid H. 8 Ding, Xiaohua 8 Gallegos, Armando 8 Pimenov, Vladimir Germanovich 8 Ruiz-Ramírez, Javier 7 Ahmed, Nauman 6 Băleanu, Dumitru I. 6 Medina-Ramírez, Iliana E. 6 Puri, Ashok 6 Zhang, Zhiyue 5 Abbaszadeh, Mostafa 5 Li, Meng 5 Martínez, Romeo 5 Qin, Wendi 5 Raza, Ali Hassan 5 Serna-Reyes, Adán J. 5 Sheng, Qin 5 Vargas-Rodríguez, Héctor 5 Wang, Yushun 5 Xie, Jianqiang 5 Zhang, Chengjian 4 Alba-Pérez, Joel 4 Cai, Wenjun 4 Cheng, Ye 4 Dehghan Takht Fooladi, Mehdi 4 Hafez, Ramy Mahmoud 4 Iqbal, Muhammad Sajid 4 Ma, Qiang 4 Rehman, Muhammad Aziz-Ur 4 Shi, Bao 4 van Bockstal, Karel 3 Abo-Gabal, Howayda 3 Ameen, Ibrahem G. 3 Butt, Azhar Iqbal Kashif 3 De Staelen, Rob H. 3 Elkot, Nermeen A. 3 Fu, Yayun 3 Hu, Dongdong 3 Inan, Bilge 3 Li, Ming 3 Liu, Gui-Rong 3 Mittal, Ramesh Chand 3 Omran, Abdelrahim Khalifa 3 Sheng, Zhiqiang 3 Sousa, Ercília 3 Szafrańska, Anna 3 Urenda-Cázares, Ernesto 3 Wang, Nan 3 Zhou, Huifang 2 Abundo, Mario 2 Ali, Mubasher 2 Alsuyuti, Muhammad M. 2 Appadu, Appanah Rao 2 Arora, Geeta 2 Avelar-González, F. J. 2 Batool, Saira 2 Bonizzoni, Francesca 2 Chamaleen, Doremure Badalge Duresha 2 Company, Rafael 2 Ding, Deqiong 2 Eberl, Hermann J. 2 Ezz-Eldien, Samer S. 2 Flores-Oropeza, Luis A. 2 González, Ana E. 2 Gu, Xian-Ming 2 Heydari, Mohammad Hossein 2 Huang, Chengming 2 Huang, Ting-Zhu 2 Inc, Mustafa 2 Ishiwata, Tetsuya 2 Jerez Galiano, Silvia 2 Jesus, Carla 2 Jia, Junqing 2 Jiang, Xiaoyun 2 Jiwari, Ram 2 Jódar Sanchez, Lucas Antonio 2 Kayenat, Sheerin 2 Khan, Arbaz 2 Khan, Ilyas 2 Khastan, Alireza 2 Khater, Mostafa M. A. 2 Kukreja, Vijay Kumar 2 Li, Dongfang 2 Liang, Dong 2 Liu, Kai 2 Man, Z. Y. 2 Mei, Liquan 2 Mohan, Manil Thankamani 2 Mohanty, Ranjan Kumar 2 Momani, Shaher M. 2 Muñoz-Pérez, Luis F. 2 Peng, Shanshan 2 Płociniczak, Łukasz 2 Qiu, Wenlin 2 Ran, Maohua 2 Sapa, Lucjan 2 Shi, Wei ...and 457 more Authors all top 5 Cited in 86 Serials 30 Applied Numerical Mathematics 29 Journal of Computational and Applied Mathematics 22 International Journal of Computer Mathematics 20 Communications in Nonlinear Science and Numerical Simulation 17 Applied Mathematics and Computation 15 Computers & Mathematics with Applications 15 Journal of Difference Equations and Applications 14 Numerical Methods for Partial Differential Equations 13 Mathematical Methods in the Applied Sciences 11 Mathematics and Computers in Simulation 10 Journal of Mathematical Chemistry 9 Journal of Scientific Computing 9 Numerical Algorithms 9 Advances in Difference Equations 7 Applied Mathematics Letters 6 Journal of Computational Physics 6 International Journal of Computational Methods 5 Computer Physics Communications 5 Journal of Function Spaces 4 Chaos, Solitons and Fractals 4 Physica D 4 Applied Mathematical Modelling 4 Computational and Applied Mathematics 4 Mathematical Problems in Engineering 4 Nonlinear Dynamics 4 Discrete Dynamics in Nature and Society 4 Journal of Applied Mathematics and Computing 3 Mathematical Biosciences 3 Fractals 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 International Journal of Modern Physics C 3 AIMS Mathematics 2 Journal of Computational Mathematics 2 Japan Journal of Industrial and Applied Mathematics 2 Journal of Nonlinear Mathematical Physics 2 Numerical Mathematics: Theory, Methods and Applications 2 International Journal of Biomathematics 2 Advances in Mathematical Physics 2 Journal of Applied Analysis and Computation 2 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 2 International Journal of Applied and Computational Mathematics 1 Acta Mechanica 1 Classical and Quantum Gravity 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Physica A 1 Physics Letters. A 1 Demonstratio Mathematica 1 Numerische Mathematik 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Stochastic Analysis and Applications 1 Annals of Physics 1 Journal of Statistical Computation and Simulation 1 SIAM Journal on Scientific Computing 1 Journal of the Egyptian Mathematical Society 1 Memoirs on Differential Equations and Mathematical Physics 1 Engineering Analysis with Boundary Elements 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Mathematics and Mechanics of Solids 1 Fractional Calculus & Applied Analysis 1 Qualitative Theory of Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Acta Mathematica Scientia. Series B. (English Edition) 1 JP Journal of Algebra, Number Theory and Applications 1 Journal of Algebra and its Applications 1 Iranian Journal of Fuzzy Systems 1 Mathematical Biosciences and Engineering 1 Waves in Random and Complex Media 1 Inverse Problems in Science and Engineering 1 Communications in Computational Physics 1 Discrete and Continuous Dynamical Systems. Series S 1 Asian-European Journal of Mathematics 1 Communications in Theoretical Physics 1 Advances in Applied Mathematics and Mechanics 1 Arabian Journal of Mathematics 1 Mathematical Sciences 1 East Asian Journal on Applied Mathematics 1 Journal of Linear and Topological Algebra 1 Computational Methods for Differential Equations 1 Cogent Mathematics 1 Mathematics in Engineering 1 SN Partial Differential Equations and Applications 1 Mathematics in Applied Sciences and Engineering all top 5 Cited in 33 Fields 281 Numerical analysis (65-XX) 244 Partial differential equations (35-XX) 63 Biology and other natural sciences (92-XX) 45 Real functions (26-XX) 39 Ordinary differential equations (34-XX) 16 Fluid mechanics (76-XX) 16 Statistical mechanics, structure of matter (82-XX) 12 Probability theory and stochastic processes (60-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Integral equations (45-XX) 9 Quantum theory (81-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Difference and functional equations (39-XX) 6 Special functions (33-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Relativity and gravitational theory (83-XX) 5 Mechanics of deformable solids (74-XX) 5 Optics, electromagnetic theory (78-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Commutative algebra (13-XX) 4 Operator theory (47-XX) 4 Computer science (68-XX) 4 Systems theory; control (93-XX) 3 Approximations and expansions (41-XX) 2 Associative rings and algebras (16-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) Citations by Year