L. F. Amey, J. G. Calvo and J. Padilla-Torres. A Schwarz preconditioner for the smoothed lowest-order virtual element method, Computers and Mathematics with Applications, 197 (2025), 71-87. PDF
J. G. Calvo and M. Solano. A two level overlapping Schwarz preconditioner for discontinuous Galerkin methods. Revista de Matemática: Teoría y Aplicaciones, 32 (2025), 15–33. PDF
J. Calvo and J. Galvis. Robust domain decomposition methods for high-contrast multiscale problems on irregular domains with virtual element discretizations. Journal of Computational Physics (2024). PDF
C. Herrera, R. Corrales, J. Arroyo-Esquivel, J. G. Calvo. A numerical implementation for the high-order 2D Virtual Element Method in MATLAB. Numerical Algorithms, 92 (2023), 1707–1721. PDF
J. Calvo. A new coarse space for overlapping Schwarz algorithms for H(curl) in three dimensions with irregular subdomains. Numerical Algorithms, 83 (2020), 885-899. PDF
J. Calvo. An overlapping Schwarz method for virtual element discretizations in two dimensions, Computers and Mathematics with Applications, 77 (2019), 1163-1177. PDF
J. Calvo. On the approximation of a virtual coarse space for domain decomposition methods in two dimensions. Mathematical Models and Methods in Applied Sciences, 28 (2018), 1267-1289. PDF
J. Calvo and O. Widlund. An adaptive choice of primal constraints for BDDC domain decomposition algorithms. Electron. Trans. Numer. Anal., 45 (2016), 524-544. PDF
J. Calvo. A BDDC algorithm with deluxe scaling for H(curl) for two dimensions with irregular subdomains. Math. Comp., 85 (2016), 1085-1111. PDF
J. Calvo. A two-level overlapping Schwarz method for H(curl) in two dimensions for irregular subdomains. Electron. Trans. Numer. Anal., 44 (2015), 497-521. PDF
J. Calvo, C. Herrera and F. Sequeira. An overlapping preconditioner for 2D virtual problems posed in H(rot) with irregular subdomains. Domain Decomposition Methods in Science and Engineering XXVII, Springer, 2024, 101-108. PDF
J. Calvo. Virtual coarse spaces for irregular subdomain decompositions. Domain Decomposition Methods in Science and Engineering XXV. DD 2018. Lecture Notes in Computational Science and Engineering, Springer, 2020, 75-82. PDF
O. Widlund and J. Calvo. Parallel sums and adaptive BDDC deluxe. Domain Decomposition Methods in Science and Engineering XXIII, Springer, 2017, 277-284. PDF
F. Sanchez, J. Arroyo-Esquivel and J. Calvo. A mathematical model with nonlinear relapse: conditions for a forward-backward bifurcation, Journal of Biological Dynamics, 2023, 17:1, PDF
J. Calvo-Monge, F. Sanchez, J. Calvo and D. Mena. A nonlinear relapse model with disaggregated contact rates: Analysis of a forward-backward bifurcation, Infectious Disease Modelling, 2023, 8(3), 769-782. PDF
F. Sanchez, J. Calvo, A. Hernández, and M. Porter. A two patch model with nonlinear relapse. Revista de Matemática: Teoría y Aplicaciones (special issue), 27 (2020), 23-48. PDF
F. Sanchez, J. Calvo, E. Segura and Z. Feng. A partial differential equation model with age-structure and nonlinear recidivism: conditions for a backward bifurcation and a general numerical implementation, Computers and Mathematics with Applications, 78 (2019), 3916-3930. PDF
F. Sanchez and J. Calvo. The role of short-term immigration on disease dynamics: an SIR model with age structure. Revista de Matemática: Teoría y Aplicaciones, 26 (2019), 139-159. PDF
J. Calvo, F. Sanchez, L. Barboza, Y. García and P. Vásquez. An implementation of a multilayer network model for the Covid-19 pandemic: a Costa Rica study. Mathematical biosciences and engineering : MBE, 20(1), 2023, 534-551. PDF
Y. García, G. Mery, P. Vásquez, J. Calvo, L. Barboza, T. Rivas and F. Sanchez. Projecting the impact of Covid-19 variants and vaccination strategies in disease transmission using a multilayer network model in Costa Rica. Scientific Reports 12, 2279 (2022). PDF
L.A. Barboza, P. Vásquez, G. Mery, F. Sanchez, Y. García, J. Calvo, T. Rivas and D. Salas. The role of mobility and sanitary measures on Covid-19 in Costa Rica, March through July 2020. Epidemiologia 2021, 2(3), 294-304. PDF
F. Sanchez, J . Calvo, G. Mery, Y. García, P. Vásquez, L. Barboza, M. Pérez and T. Rivas. A multilayer network model of Covid-19: Implications in public health policy in Costa Rica. Epidemics, 2020, 39. PDF
C. Soto-Rojas, C. Garita, M. Abdalah, J. Calvo, F. Sanchez, E. Meneses. Preliminary analysis of socioeconomic variable correlation with geospatial modeling in Costa Rica dengue epidemics. Tecnología en Marcha. Vol. 37, special issue (IEEE International Conference on Bioinspired Processing), 2024. PDF
L. Barboza, S. Chou-Chen, P. Vásquez, Y. García, J. Calvo, H. Hidalgo, F. Sanchez. Assessing dengue fever risk in Costa Rica by using climate variables and machine learning techniques. PLOS Neglected Tropical Diseases, 2023, 17(1): e0011047. PDF
Y. García, S. Chou-Chen, L. Barboza, M. Daza–Torres, J. Montesinos-López, P. Vásquez, J. Calvo, M. Nuño, F. Sanchez. Common patterns between dengue cases, climate, and local environmental variables in Costa Rica: a wavelet approach. PLOS Global Public Health, 2023 3(10): e0002417. PDF
S. Chou-Chen, L. Barboza, P. Vásquez, Y. García, J. Calvo, H. Hidalgo and F. Sanchez. Bayesian spatio-temporal model with INLA for dengue fever risk prediction in Costa Rica. Environmental and Ecological Statistics, (2023). PDF
P. Vásquez, F. Sanchez, L. Barboza, Y. García, J. Calvo, S. Chou-Chen, G. Mery. Mathematical and statistical models for the control of mosquito-borne diseases: the experience of Costa Rica. Rev. Panam. Salud Publica. 2022, 46, e113. PDF
F. Sanchez and J. Calvo. Dengue model with age-structure within host and early-life stage of the vector. Revista de Matemática: Teoría y Aplicaciones (special issue), 27 (2020), 157-177. PDF
A. Aguilar-Pineda, L. F. Amey, A. Angulo-Paniagua and J. G. Calvo. Coarse spaces for virtual element methods on irregular 3D subdomain decompositions, (2025). arXiv
J. G. Calvo, M. I. Simoy, J. P. Aparicio, J. E. Chacón and F. Sanchez. Stochastic two-patch epidemic model with nonlinear recidivism. Submitted. arXiv
Y. E. García, P. Vázquez, J. G. Calvo, L. A. Barboza, F. Sanchez, T. Rivas, G. Mery, M. D. Pérez. Modelos matemáticos y análisis estadísticos implementados para el estudio de Covid19 en Costa Rica. 2023. PDF
J. Calvo. (2015) Domain Decomposition Methods for Problems in H (curl). Advisor: Olof Widlund. PDF
C1228 - Machine learning methods for the design of preconditioners (Jul, 2021 - ongoing).
B8290 - Preconditioners for the numerical solution of PDEs (Jul, 2018 - Jun,2021).
B5A28 - Numerical methods for PDEs (Jul, 2015 - Jun, 2018).
C3190 - The effect of social determinants on the spread of infectious diseases (Apr 2023 - ongoing).
C0145 - Using Machine Learning as a predictive tool for vector-borne diseases in Costa Rica (Apr, 2020 - Dec, 2022).
B8747 - Mathematical models for the development of prevention/control strategies of Aedes Aegypti in Costa Rica (Mar, 2018 - May 2020).
B6184 - Mathematical Models for Infectious Diseases in Costa Rica (Jan, 2016 - Jan, 2018).