Numerical Solution of Ordinary and Partial Differential Equations
- Highly oscillatory problems
- Stochastic analysis
- Geometric integration
- Analysis of spectral and finite methods
- Dynamic adaptativity and stabilization
| J.M. Sanz-Serna and M.P. Calvo, Numerical Hamiltonian Problems, Dover Publications Inc., Mineola, New York (2018), ix+207 |
| 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 |
| 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 |
| I. Alonso-Mallo and B. Cano, Spectral-fractional step Runge–Kutta discretizations for initial boundary value problems with time dependent boundary conditions, Mathematics of Computation 73 (204), 1801-1825 |
| 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 |
| G. Martín-Herrán and G. Zaccour, Credibility of incentive equilibrium strategies in linear-state differential games, Journal of Optimization Theory and Applications 126 (2005), 367-389 |
| S. Jørgensen, G. Martín-Herrán and G. Zaccour, Agreeability and time consistency in linear-state differential games, Journal of Optimization Theory and Applications 119 (2003), 49-63 |
| 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 |
| F. Cabo and A. Martín-Román, Dynamic collective bargaining and labor adjustment costs, Journal of Economics 126(2) (2019), 103-133 |
| G. Martín-Herrán, S.P. Sigué and G. Zaccour, The dilemma of pull and push-price promotions, Journal of Retailing 86(1) (2010), 51-68 |
Study of Dynamic Individual Rationality in Differential Games
- Theoretical research
- Economic applications
Applications
- Molecular dynamics
- Mechanical systems and fluid dynamics
- Formation of structures in reaction diffusion equations
- International trade and financial product analysis
- Economic growth and marketing
- Environment
| B. Cano and A. González-Pachón, Exponenetial time integration of solitary waves of cubic Schrödinger equation, Applied Numerical Mathematics 91 (2015), 26-45 |
| M.P. Calvo, J. de Frutos and J. Novo, Linearly implicit Runge–Kutta methods for advection–reaction–diffusion equations, Applied Numerical Mathematics 37(4) (2001), 535-549 |
| J. de Frutos and V. Gatón, Chebyshev reduced basis function applied to option valuation, Computational Management Science 14 (2017), 465–491 |
| 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 (2014), 243-264 |
| 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 |