I am honoured to present this issue of selected papers from the 12th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2012), held at La Manga, Murcia, Spain, from 2–5 July 2012, consisting of the extended versions of the presented works at the conference.
From the first meeting at Milwaukee in 2000 until now CMMSE has proved to be a catalyst for computational mathematics in science and engineering. Many scientists have found a place to share their knowledge not only with colleagues from nearby branches, but also with researchers from different areas who have found a new link between their subjects [Citation1–12].
CMMSE 2012 mini-symposia and special sessions cover a wide range: advances in the area of high-performance computing applied to complex large-scale computational problems; mathematical models for the future Internet; numerical methods for partial differential equations, nonlinear problems and linear and nonlinear optimization; computational chemistry, physics and discrete mathematics; educational methodologies by using the new technologies; mathematical models and information intelligent systems on transport; the influence of algebraic and geometrical tools in cryptography and coding theory; bio-mathematics; orthogonal polynomials and applications; modelling physics phenomena; and, last but not least, industrial mathematics.
New problems with large-scale computing continually arise in many scientific and engineering applications. We are pleased to acknowledge the Spanish Network CAPAP-H2 ’High Performance Computing on Heterogeneous Parallel Architectures,’ whose mini-symposium is supported by the Spanish Ministry of Science and Innovation (project TIN2010-12011-E & TIN2011-15739-E).
In today's ‘information society’, it is essential to preserve the privacy and integrity of communications. Indeed, the Internet is continuously changing and in the future the Internet will involve a network with new structures that have greater requirements for broadband, scalability, mobility, ubiquity, and economical efficiency. This infrastructure will be united with communication, broadcasting, computing, and sensors. In this year's CMMSE two mini-symposia are devoted to these areas.
The development of new technologies is associated with improvements in human safety (traffic flows, pedestrian flows, ecology, etc.), educational methodologies, and with the design of efficient algorithms in information technology. These are just some of the items analysed and reported on at this conference.
The theory of computation and its applications is one of the most important developments in modern science. Two mini-symposia will be devoted to computational methods applied to chemistry, physics, and discrete mathematics.
Many phenomena in science and engineering are modelled by partial or ordinary differential equations and nonlinear systems. They are usually treated numerically so it is necessary to improve the algorithms in terms of efficiency, applicability, and stability. Three mini-symposia and a special session are devoted to recent trends in these topics.
Finally, theoretical and practical applications pertaining to biological mathematics and orthogonal polynomials appear in two mini-symposia in which researchers present the latest results in these branches of investigation.
I would like to thank the plenary speakers for their excellent contributions in research and leadership in their respective fields. We express our gratitude to special session organizers and to all members of the Scientific Committee, who have been a very important part in setting the direction of this conference. Lastly, we thank all participants because without the interest and the input of so many individuals, there would be no conference.
All articles in this issue are of significant computational interest and contain original and substantial mathematical analysis or development of computational methodology, and contain all the results of the Conference.
I hope you enjoy this issue.
References
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- J. Vigo-Aguiar and E.J. Brändas, eds., Mathematical and computational tools in theoretical chemistry. Special issue CMMSE-2008, J. Math. Chem. 48(1) (2010), pp. 1–2. doi: 10.1007/s10910-009-9612-7
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