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.

### Applied Science Research

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,

**Sísmic 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

### Mathematical Modelling of Continuum Systems

**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