Publications

List of articles and book chapters published over the past ten years.

2021:

  • I. Alonso-Mallo, B. Cano and N. Reguera, Comparison of efficiency among different techniques to avoid order reduction with Strang splitting, Num. Meth. Part. Diff. Eq. 37 (1) (2021), 854-873. https://doi.org/10.1002/num.22556.
  • S. Blanes, F. Casas, C. González and M. Thalhammer, Convergence analysis of high-order commutator-free quasi-Magnus exponential integrators for nonautonomous linear Schrödinger equations, IMA Journal of Numerical Analysis 41 (1) (2021), 594–617. https://doi.org/10.1093/imanum/drz058.
  • J. de Frutos and V. Gatón, A pseudospectral method for option pricing with transaction costs under exponential utility, Journal of Computational and Applied Mathematics 394 (2021), 113541. https://doi.org/10.1016/j.cam.2021.113541.
  • J. de Frutos, P. López-Pérez and G. Martín-Herrán, Equilibrium strategies in a multiregional transboundary pollution differential game with spatially distributed controls, Automatica 125 (2021), 109411. https://doi.org/10.1016/j.automatica.2020.109411.

2020:

  • C. Arguedas, F. Cabo and G. Martín-Herrán, Enforcing regulatory standards in stock pollution problems, Journal of Environmental Economics and Management 100 (2020), 102297. https://doi.org/10.1016/j.jeem.2019.102297.
  • F. Cabo and A. García-González, Interaction and imitation with heterogeneous agents: a misleading evolutionary equilibrium, Journal of Economic Behavior & Organization 179 (2020), 152-174. https://doi.org/10.1016/j.jebo.2020.09.002.
  • F. Cabo, A. García-González and M. Molpeceres-Abella, Compliance with Social Norms as an Evolutionary Stable Equilibrium, in Games in Management Science: Essays in Honor of Georges Zaccour. P.O. Pineau, S. Sigué and S. Taboubi, Springer 2020, 283-313. http://doi.org/10.1007/978-3-030-19107-8_16.
  • F. Cabo, G. Martín-Herrán and M.P. Martínez-García, Non-constant discounting, social welfare and endogenous growth with pollution externalities, Environmental and Resource Economics 76 (2020), 369-403. https://doi.org/10.1007/s10640-020-00430-3.
  • F. Cabo, G. Martín-Herrán and M.P. Martínez-García, Present bias and the inefficiency of the centralized economy. The role of the elasticity of intertemporal substitution, Economic Modelling 93 (2020), 702-716. https://doi.org/10.1016/j.econmod.2020.01.019.
  • M.P. Calvo, J.M. Sanz-Serna and Beibei Zhu, High-order stroboscopic averaging methods for highly oscillatory delay problems, Appl. Numer. Math. 152 (2020), 466-479. https://doi.org/10.1016/j.apnum.2019.11.009.
  • B. Cano and A. Durán, On nonparaxial nonlinear Schrödinger-type equations, J. Comp. Appl. Math. 373 (2020), 112163. https://doi.org/10.1016/j.cam.2019.02.029.
  • B. Cano and M.J. Moreta, A modified Gautschi’s method without order reduction when integrating boundary value nonlinear wave problems, Applied Mathematics and Computation 373 (2020), 125022. https://doi.org/10.1016/j.amc.2019.125022.
  • S. Karray, G. Martín-Herrán and G. Zaccour, Pricing of demand-related products: Can ignoring cross-category effect be a smart choice?, International Journal of Production Economics 223 (2020), 107512. https://doi.org/10.1016/j.ijpe.2019.09.033.
  • G. Martín-Herrán and S. Rubio, On Coincidence of Feedback and Global Stackelberg Equilibria in a Class of Differential Games, European Journal of Operational Research (2020). https://doi.org/10.1016/j.ejor.2020.12.022.
  • G. Martín-Herrán and S.P. Sigué, Manufacturer Defensive and Offensive Advertising in Competing Distribution Channels, International Transactions in Operational Research 27 (2020), 958-983. https://doi.org/10.1111/itor.12693.

2019:

  • I. Alonso-Mallo , B. Cano and N. Reguera, Avoiding order reduction when integrating reaction-diffusion boundary value problems with exponential splitting methods, J. Comp. Appl. Math. 357 (2019), 228-250. https://doi.org/10.1016/j.cam.2019.02.023.
  • F. Cabo and A. García-González, Interaction and imitation in a world of Quixotes and Sanchos, Journal of Evolutionary Economics 29 (3) (2019), 1037-1057. https://doi.org/10.1007/s00191-019-00620-3.
  • F. Cabo and A. Martín-Román, Dynamic collective bargaining and labor adjustment costs, Journal of Economics 126 (2) (2019), 103-133. https://doi.org/10.1007/s00712-018-0615-3.
  • P. De Giovanni, S. Karray and G. Martín-Herrán, Vendor Management Inventory with Consignment Contracts and the Benefits of Cooperative Advertising, European Journal of Operational Research 272 (2019), 465-480. https://doi.org/10.1016/j.ejor.2018.06.031.
  • J. de Frutos, B. García-Archilla and J. Novo, Fully discrete approximations to the time-dependent Navier-Stokes equations with a projection method in time and grad-div stabilization, Journal of Scientific Computing 80 (2019), 1330-1368. https://doi.org/10.1007/s10915-019-00980-9.
  • J. de Frutos, B. García-Archilla and J. Novo, Grad-div stabilization for the time-dependent Boussinesq equations with inf-sup stable finite elements, Applied Mathematics and Computation 349 (2019), 281-291. https://doi.org/10.1016/j.amc.2018.12.062.
  • J. de Frutos, B. García-Archilla, V. John and J. Novo, Error Analysis of Non Inf-sup Stable Discretizations of the time-dependent Navier–Stokes Equations with Local Projection Stabilization, IMA Journal of Numerical Analysis 39 (2019), 1747-1786. https://doi.org/10.1093/imanum/dry044.
  • J. de Frutos and V. Gatón, An extension of Heston’s SV model to Stochastic Interest Rates, Journal of Computational and Applied Mathematics 354 (2019), 174-182. https://doi.org/10.1016/j.cam.2018.09.010.
  • J. de Frutos and G. Martín-Herrán, Non-linear Incentive Equilibrium Strategies for a Transboundary Pollution Differential Games, in Games in Management Science: Essays in Honor of Georges Zaccour, P.O. Pineau, S.P. Sigué and S. Taboubi, Springer 2019, 187-204. https://doi.org/10.1007/978-3-030-19107-8_11.
  • J. de Frutos and G. Martín-Herrán, Spatial Effects and Strategic Behaviour in a Multiregional Transboundary Pollution Dynamic Game, Journal of Environmental Economics and Management 97 (2019), 182-207. https://doi.org/10.1016/j.jeem.2017.08.001.
  • J. de Frutos and G. Martín-Herrán, Spatial vs. Non-Spatial Transboundary Pollution Control in a Class of Cooperative and Non-Cooperative Dynamic Games, European Journal of Operational Research 276 (2019), 379-394. https://doi.org/10.1016/j.ejor.2018.12.045.
  • S. Karray and G. Martín-Herrán, Fighting Store Brands through the Strategic Timing of Pricing and Advertising Decisions, European Journal of Operational Research 275 (2019), 635-647. https://doi.org/10.1016/j.ejor.2018.11.066.
  • G. Martín-Herrán and S.P. Sigué, Offensive and Defensive Marketing in Spatial Competition, Journal of Service Research 22 (2) (2019), 189-201. https://doi.org/10.1177/1094670518819853.
  • G. Martín-Herrán and S. Taboubi, On the Modelling of Price Effects in the Diffusion of Optimal Contingent Products, in Games in Management Science: Essays in Honor of Georges Zaccour, P.O. Pineau, S.P. Sigué and S. Taboubi, Springer 2019, 15-39. https://doi.org/10.1007/978-3-030-19107-8_2.

2018:

  • I. Alonso-Mallo , B. Cano and N. Reguera, Avoiding order reduction when integrating linear initial boundary value problems with exponential splitting methods, IMA J. Num. Anal. 38 (2018), 1294-1323. https://doi.org/10.1093/imanum/drx047.
  • B. Cano and M.J. Moreta, Exponential quadrature rules without order reduction for integrating linear initial boundary value problems, SIAM J. Num. Anal. 56 (3) (2018), 1187-1209. https://doi.org/10.1137/17M1124279.
  • J. de Frutos, B. García-Archilla and J. Novo, Error analysis of projection methods for non inf-sup stable mixed finite elements. The Navier-Stokes equations, Journal of Scientific Computing 74 (2018), 426-455. http://dx.doi.org/10.1007/s10915-017-0446-3.
  • J. de Frutos, B. García-Archilla and J. Novo, Error analysis of projection methods for non inf-sup stable mixed finite elements. The transient Stokes problem, Appl. Math. Comput. 322 (2018), 154-173. https://doi.org/10.1016/j.amc.2017.11.046.
  • J. de Frutos, B. García-Archilla, V. John and J. Novo, Analysis of the grad-div stabilization for the time-dependent Navier–Stokes equations with inf-sup stable finite elements, Advances in Computational Mathematics 44 (2018), 195-225. http://dx.doi.org/10.1007/s10444-017-9540-1.
  • J. de Frutos and G. Martín-Herrán, Selection of a Markov Perfect Nash Equilibrium in a Class of Differential Games, Dynamic Games and Applications 8 (3) (2018), 620-636. https://doi.org/10.1007/s13235-018-0257-7.
  • G. Martín-Herrán and S. Rubio, Optimal Environmental Policy for a Polluting Monopoly with Abatement Costs: Taxes versus Standards, Environmental Modelling & Assessment 23 (6) (2018), 671-689. https://doi.org/10.1007/s10666-018-9602-x.
  • G. Martín-Herrán and S. Rubio, Second-Best Taxation for a Polluting Monopoly with Abatement Investment, Energy Economics 73 (2018), 178-193. https://doi.org/10.1016/j.eneco.2018.05.019.

2017:

  • I. Alonso-Mallo , B. Cano and N. Reguera, Analysis of order reduction when integrating linear initial boundary value problems with Lawson methods, Applied Numerical Mathematics 118 (2017), 64-74. https://doi.org/10.1016/j.apnum.2017.02.010.
  • I. Alonso-Mallo , B. Cano and N. Reguera, Avoiding order reduction when integrating linear initial boundary value problems with Lawson methods, IMA Journal of Numerical Analysis 37 (2017), 2091-2119. https://doi.org/10.1093/imanum/drw052.
  • C. Arguedas and F. Cabo and G. Martín-Herrán, Optimal Pollution Standards and Non-Compliance in a Dynamic Framework, Environmental and Resource Economics 68 (2017), 537-567. https://doi.org/10.1007/s10640-016-0031-5.
  • F. Cabo and M. Tidball, Promotion of cooperation when benefits come in the future: A water transfer case, Resource and Energy Economics 47 (2017), 56-71. https://doi.org/10.1016/j.reseneeco.2016.12.001.
  • B. Cano and N. Reguera, Avoiding order reduction when integrating nonlinear Schrödinger equation with Strang method, J. Comp. Appl. Math. 316 (2017), 86-99. https://doi.org/10.1016/j.cam.2016.09.033.
  • J. de Frutos and V. Gatón, A spectral method for an optimal investment problem with transactions costs and potential utility, Journal of Computational and Applied Mathematics 319 (2017), 262–276,. http://dx.doi.org/10.1016/j.cam.2017.01.015.
  • J. de Frutos and V. Gatón, Chebyshev reduced basis function applied to option valuation, Computational Management Science 14 (2017), 465–491. http://dx.doi.org/10.1007/s10287-017-0287-4.
  • S. Karray, G. Martín-Herrán and S.P. Sigué, Cooperative Advertising for Competing Manufacturers: The Impact of Long-Term Promotional Effects, International Journal of Production Economics 184 (2017), 21-32. https://doi.org/10.1016/j.ijpe.2016.11.007.
  • S. Karray, G. Martín-Herrán and G. Zaccour, Assessing the Profitability of Cooperative Advertising Programs in Competing Channels, International Journal of Production Economics 187 (2017), 142-158. https://doi.org/10.1016/j.ijpe.2017.02.008.
  • G. Martín-Herrán and S.P. Sigué, An Integrative Framework of Cooperative Advertising: Should Manufacturers continuously support retailer advertising, Journal of Business Research 70 (2017), 67-73. https://doi.org/10.1016/j.jbusres.2016.07.005.
  • G. Martín-Herrán and S.P. Sigué, Retailer and Manufacturer Advertising Scheduling in a Marketing Channel, Journal of Business Research 78 (2017), 93-100. https://doi.org/10.1016/j.jbusres.2017.05.002.

2016:

  • H. Benchekroun and G. Martín-Herrán, The Impact of Foresight in a Transboundary Pollution Game, European Journal of Operational Research 251 (2016), 300-309. https://doi.org/10.1016/j.ejor.2015.11.014.
  • F. Cabo, G. Martín-Herrán and M.P. Martínez-García, A Note on the Stability of Fully-Endogenous Growth with Increasing Returns and Exhaustible Resources, Macroeconomic Dynamics 20 (2016), 819-831. http://doi.org/10.1017/S1365100514000467.
  • F. Cabo, G. Martín-Herrán and M.P. Martínez-García, Unbounded Growth in the Neoclassical Growth Model with Non-Constant Discounting, Mathematical Social Sciences 84 (2016), 93-104. https://doi.org/10.1016/j.mathsocsci.2016.10.001.
  • B. Cano and A. González-Pachón, Plane waves numerical stability of some explicit exponential methods for cubic Schrödinger equation, Journal of Computational Mathematics 34 (2016), 385-406. https://doi.org/10.4208/jcm.1601-m4541.
  • J. de Frutos, B. García-Archilla and J. Novo, Local error estimates for the SUPG method applied to evolutionary convection-reaction-diffusion equations, J. Sci. Comput. 66 (2016), 528-554. http://dx.doi.org/10.1007/s10915-015-0035-2.
  • J. de Frutos, B. García-Archilla, V. John and J. Novo, “Grad-div stabilization for the evolutionary Oseen problem with inf-sup stable finite elements, J. Sci. Comput. 66 (2016), 991-1024. http://dx.doi.org/10.1007/s10915-015-0052-1.
  • J. de Frutos, V. John and J. Novo, Projection methods for incompressible flow problems with WENO finite difference schemes, J. Comput. Phys. 309 (2016), 368–386. http://dx.doi.org/10.1016/j.jcp.2015.12.041.
  • J. de Frutos and G. Martín-Herrán, Pollution control in a multiregional setting: a differential game with spatially distributed controls, Gecomplexity Discussion Paper Series (2016), 201601. https://econpapers.repec.org/paper/cstwpaper/201601.htm.
  • C. González and M. Thalhammer, Higher-Order Exponential Integrators for Quasi-Linear Parabolic Problems. Part II: Convergence, SIAM J. Numer. Anal. 54 (5) (2016), 2868–2888. https://doi.org/10.1137/15M103384.

2015:

  • P. Andrés-Domenech, G. Martín-Herrán and G. Zaccour, Cooperation for Sustainable Forest Management: An Empirical Differential Game Approach, Ecological Economics 117 (2015), 118-128. https://doi.org/10.1016/j.ecolecon.2015.06.016.
  • F. Cabo, G. Martín-Herrán and M.P. Martínez-García, Global Warming and R&D-Based Growth in a Trade Model between Environmentally Sensitive and Environmentally Neglectful Countries, in The Oxford Handbook of the Macroeconomics of Climate Change, W. Semmler, L. Bernard, Oxford University Press 2015, 222-247. https://doi.org/10.1093/oxfordhb/9780199856978.013.0010.
  • F. Cabo, G. Martín-Herrán and M.P. Martínez-García, Non-Constant Discounting and Ak-type Growth Models, Economics Letters 131 (2015), 54-58. https://doi.org/10.1016/j.econlet.2015.03.040.
  • M.P. Calvo, Nyström methods, in Encyclopedia of Applied and Computational Mathematics, Springer 2015, 1080-1087. https://doi.org/10.1007/978-3-540-70529-1_129.
  • B. Cano and A. González-Pachón, Projected explicit Lawson methods for the integration of Schrödinger equation, Numerical Methods for Partial Differential Equations 31 (2015), 78-104. https://doi.org/10.1002/num.21895.
  • B. Cano and González-Pachón, Exponential time integration of solitary waves of cubic Schrödinger equation, Applied Numerical Mathematics 91 (2015), 26-45. https://doi.org/10.1016/j.apnum.2015.01.001.
  • J. de Frutos and G. Martín-Herrán, Does Flexibility Facilitate Sustainability of Cooperation over Time? A Case Study from Environmental Economics, Journal of Optimization Theory and Applications 165 (2) (2015), 657-677. https://doi.org/10.1007/s10957-014-0573-z.
  • C. González and M. Thalhammer, Higher-Order Exponential Integrators for Quasi-Linear Parabolic Problems. Part I: Stability, SIAM J. Numer. Anal. 53 (2) (2015), 701–719. https://doi.org/10.1137/140961845.
  • G. Martín-Herrán and S.P. Sigué, Trade Deals and/or On-Package Coupons, European Journal of Operational Research 241 (2) (2015), 541-554. https://doi.org/10.1016/j.ejor.2014.09.009.
  • G. Martín-Herrán and S. Taboubi, Price Coordination in Distribution Channels: A Dynamic Perspective, European Journal of Operational Research 240 (2015), 401-414. https://doi.org/10.1016/j.ejor.2014.07.022.

2014:

  • F. Cabo, K. Erdlenbruch and M. Tidball, Dynamic management of water transfer between two interconnected river basins, Resource and Energy Economics 37 (2014), 17-38. https://doi.org/10.1016/j.reseneeco.2014.03.002.
  • F. Cabo, and A. García-González, The endogenous determination of retirement age and Social Security benefits, Macroeconomic Dynamics 18 (2014), 93-113. https://doi.org/10.1017/S1365100512000296.
  • F. Cabo, G. Martín-Herrán and M.P. Martínez-García, Can Sustained Growth be Attained through Trading Exhaustible Resources for Foreign Research?, The Journal of International Trade & Economic Development 23 (2) (2014), 267-298. https://doi.org/10.1080/09638199.2012.742131.
  • F. Cabo, G. Martín-Herrán and M.P. Martínez-García, On the Effect of Resource Exploitation on Growth: Domestic Innovation vs. Technological Diffusion Through Trade, in Dynamic Optimization in Environmental Economics, E. Moser, W. Semmler, G. Tragler and V. Veliov, Springer 2014, 243-264. https://doi.org/10.1007/978-3-642-54086-8_11.
  • F. Cabo, G. Martín-Herrán and M.P. Martínez-García, Property Rights for Natural Resources and Sustainable Growth in a Two-Country Trade Model, Decisions in Economics and Finance (Special Issue on Nonlinear Economic Systems) 37 (1) (2014), 99-123. https://doi.org/10.1007/s10203-012-0135-5.
  • J. de Frutos, B. García-Archilla, V. John and J. Novo, An adaptive SUPG method for evolutionary convection-diffusion equations, Comput. Methods Appl. Mech. Engrg. 273 (2014), 219-237. http://dx.doi.org/10.1016/j.cma.2014.01.022.
  • G. Martín-Herrán, S.P. Sigué and G. Zaccour, Downstream Horizontal Integration and Dealer Network Performance, International Transactions in Operational Research 21 (1) (2014), 81-101. https://doi.org/10.1111/itor.12048.

2013:

2012:

  • M. Breton and J. de Frutos, Approximation of Dynamic Programs, in Handbook of Computational Finance, J.C. Duan, J.E. Gentle and W. Härdle, Springer 2012, 633-649. https://doi.org/10.1007/978-3-642-17254-0_23.
  • M.P. Calvo, Ph. Chartier, A. Murua and J.M. Sanz-Serna, A stroboscopic method for highly oscillatory problems, in Numerical Analysis and Multiscale Computations, B. Engquist, O. Runborg and R. Tsai, Lect. Notes Comput. Sci. Eng.  vol. 82, Springer 2012, 71-85. https://doi.org/10.1007/978-3-642-21943-6_4.
  • B. Cano and M.J. Moreta, Stability and resonances of multistep cosine methods, Journal of Computational Mathematics 30 (2012), 517-532. https://doi.org/10.4208/jcm.1203-m3487.
  • J. de Frutos, B. García-Archilla and J. Novo, Optimal error bounds for two-grid schemes applied to the Navier-Stokes equations, Appl. Math. Comput. 218 (2012), 7034-7051. http://dx.doi.org/10.1016/j.amc.2011.12.051.
  • J. de Frutos, B. García-Archilla and J. Novo, Static two-grid mixed finite-element approximations to the Navier-Stokes equations, J. Sci. Comput. 52 (2012), 619-637. http://dx.doi.org/10.1007/s10915-011-9562-7.
  • G. Martín-Herrán, S. Taboubi and G. Zaccour, Dual Role of Price and Myopia in a Marketing Channel, European Journal of Operational Research 219 (2012), 284-295. https://doi.org/10.1016/j.ejor.2011.12.015.
  • G. Martín-Herrán, S. McQuitty and S.P. Sigué, Offensive versus Defensive Spending: What is the Optimal Mix?, International Journal of Research in Marketing 29 (2012), 210-219. https://doi.org/10.1016/j.ijresmar.2011.10.003.

2011:

  • M.P. Calvo, Ph. Chartier, A. Murua and J.M. Sanz-Serna, Numerical stroboscopic averaging for ODEs and DAEs, Appl. Numer. Math. 61 (2011), 1077-1095. https://doi.org/10.1016/j.apnum.2011.06.007.
  • J. de Frutos, B. García-Archilla and J. Novo, A posteriori error estimation for mixed finite element approximations to the Navier-Stokes equations, J. Comput. Appl. Math. 236 (2011), 1103-1122. http://dx.doi.org/10.1016/j.cam.2011.07.033.
  • J. de Frutos, B. García-Archilla and J. Novo, Adaptive Finite Element Method for Evolutionary Convection Dominated Problems, Comput. Methods Appl. Mech. Engrg. 200 (2011), 3601–3612. http://dx.doi.org/10.1016/j.cma.2011.08.010.
  • J. de Frutos, B. García-Archilla and J. Novo, Nonlinear convection-diffusion problems: fully discrete approximations and a posteriori error estimates, IMA J. Numer. Anal. 31 (2011), 1402-1430. http://dx.doi.org/10.1093/imanum/drq017.
  • J. de Frutos, B. García-Archilla and J. Novo, Numerical Experience with Transient Convection–diffusion Problems: Adaptive Discretizations, in D. Aubry, P. Díez, B. Tie, N. Parés, Adaptive Modelling and Simulation 2011 (2011), 149-158. http://eccomas.cimne.com/cvdata/cntr1/spc10/dtos/img/mdia/ADMOS2011.pdf.
  • G. Martín-Herrán and S.P. Sigué, Prices, Promotions, and Channel Profitability: Was the Conventional Wisdom Mistaken?, European Journal of Operational Research 211 (2) (2011), 415-425. https://doi.org/10.1016/j.ejor.2010.12.022.
  • G. Martín-Herrán, S.P. Sigué and G. Zaccour, Strategic interactions in traditional franchise systems: Are franchisors always better off?, European Journal of Operational Research 213 (2011), 526-537. https://doi.org/10.1016/j.ejor.2011.03.015.