Selected publications on the following topics are available here. If you would like a copy of something else on Professor Herrera's publication list, please send email to iherrerarevilla@gmail.com. Note that the copyrights of some of the publications available here are owned by publishers. Please limit your uses of these publications to those permitted by the copyright policies of the publishers; these policies can be found on the publishers' websites, to which links are provided.
Having a strong abstract mathematics bases is the deep impression of the extraordinary power of the mathematical way of thinking what inspired him to follow the applied mathematics field. He has made scientific contributions on a unusual wide range topics using mathematics. However, it is possible to group them in two basic topics: Mathematical Modelling of Continuum Systems and its use solving research problems on other scientific fields .
Fluid Dinamics
Publication 1,
Sismic Engineering
Publications 4-6, 10, 11, 17, 22, 27, 28, 44, 52, 66-69, 83 y 93
Sismology
Elastic Waves Propagation and Difraction (Publications 7-9, 12, 13, y 18)
Viscoelasticity
Theory of Wave Propagation on Viscoelasticity Media (Publications 14, 15,16, 19-21, 23-25).
Solid State Physics
Publication 26,
Soil Mechanic and Fundation Engineering
Publications.30,43, 46,47,53
Groundwater Hydraulic and Hydrology
Publications 3, 29, 31-34, 36, 38, 39, 48, 49, 50, 51, 55, 57, 59, 63, 71,72,73, 75, 77, 84, 85, 87, 108, 118, 119, 122, 125, 127, 130, 132, 133, 148 y 149
Petroleum Engineering
Publications 2, 123, 129, 137, 139, 140, 142, 150, 155, 160
Modelling the uncertainty
Publications.4,22,30.
Algebraic Theory of Boundary Value Problems
Publications 82, 94, 95, 102, 124, 131 y libro 3
Variational Principium
Publications 35, 37, 40-42, 45, 54, 56, 58, 61, 62, 70, y 96
Biortogonal Functions
Publication 7, 80
Bundary Methods
Publications #60, 64, 65, 67, 74, 76, 78, 79, 81, 86, 88, 89, 90, 96, 98, 101, 138 y libro #3
Numerical Methods for Partial Differential Equations
Publication 104
LAM Localized Adjoint Method; Publications 97,99, 100,103,104,121,123,126,134,135,138.
ELLAM Eulerian-Lagrangian Localized Adjoint Method. To solve advection dominated diffusion transport problems. Publications
Domain Decomposition Methods. Publications 151-154,157,161,163,164, 165, 167,168,170-174
Trefftz-Herrera's Collocation Method. Publications 151,157,161