Digest of the Non Linear Science Network, Volume 16, Number 09 May 15, 2016 Editor: Angel Jorba Topics: Workshop on Dynamical Systems in the Real Life Strang and Moler Video Course on Differential Equations PhD Positions, Waves and Nonlinear Phenomena, Norway Postdoc Position, Ocean Biogeochemical Modeling, MBL and MIT New Book on Dynamical Systems Submissions to nls-net must be addressed to: Comments and suggestions are also welcome. General information about nls-net can be found at: http://www.maia.ub.es/cgi-bin/mailman/listinfo/nls-net/ This is a service created and maintained in collaboration with the American Institute of Mathematical Sciences (AIMS) http://www.aimsciences.org/ ------ Subject: Workshop on Dynamical Systems in the Real Life From: Antoni Ferragut Date: Thu, 12 May 2016 11:44:33 +0200 1st Workshop on Dynamical Systems in the Real Life (RDS 2016) 7-8 July 2016 Universitat Jaume I Castello, Spain http://www.rds2016.uji.es/ The Workshop on Dynamical Systems in the Real Life is a two-days meeting on Dynamical Systems applied to areas beyond mathematics and, therefore, that have had a direct impact outside the "abstract" world. There will be 8 lectures of 50 min and a poster session in a relaxed environment aimed to promote interaction among the participants. The main aims are meeting, learning, sharing and enjoying! You can find the list of speakers and the abstracts of the talks in the web. All the participants can present their posters. Master and doctorate students are specially welcome. Castello is a small city between Barcelona (280km, 2h by train) and Valencia (70km, 50min by train) with a young, modern and beautiful University and extremely nice weather. The town is very close to the Mediterranean sea (10km), where you can arrive directly from the University by a Tram. Please share this announcement in your department and research group and with your contacts and students. Best regards, The organizers ------ Subject: Strang and Moler Video Course on Differential Equations From: Cleve Moler Date: May 06, 2016 Gil Strang's videos for 18.06, the MIT course on Linear Algebra helped launch the MOOC revolution in higher education. Now he has made a MOOC-style video course about differential equations based on his new book, "Differential Equations and Linear Algebra", http://math.mit.edu/~gs/dela. There are 55 videos, averaging 15 minutes each. Here are the chapters. - Introduction - First Order Equations - Second Order Equations - Graphical and Numerical Methods - Vector Spaces and Subspaces - Eigenvalues and Eigenvectors - Applied Mathematics and ATA - Fourier and Laplace Transforms I have added a dozen videos, also averaging 15 minutes, about "Solving ODEs in MATLAB". Here is the link to the home page for the project at the MathWorks. http://www.mathworks.com/academia/courseware/learn-differential-equations.html Here is the link on MIT OpenCoureWare. http://ocw.mit.edu/resources/res-18-009-learn-differential-equations-up-close-with-gilbert-strang-and-cleve-moler-fall-2015/ See the MIT site for links on YouTube, iTunes and Internet Archive. ------ Subject: PhD Positions, Waves and Nonlinear Phenomena, Norway From: Ulrik Skre Fjordholm Date: May 04, 2016 As part of the research project Waves and Nonlinear Phenomena (WaNP) we announce two positions as PhD candidates available from August 1, 2016. The project is funded by the "Toppforsk" program of the Research Council of Norway. The main goal of WaNP (https://wiki.math.ntnu.no/wanp) is basic research in nonlinear and nonlocal partial differential equations. More specifically, the aim is to analyze the interplay of singularities and nonlocal effects in a class of carefully selected wave equations. As singularities appear, our tools to understand their behavior break down; and as nonlocal effects come into play, the study of essentially local singularities requires a global understanding of the problem. As part of our program we shall furthermore study both deterministic equations and equations with uncertainties. The research team involved in the current project comprises 6 faculty members and approximately 10 PhD candidates and postdoctoral fellows. Qualifications: The applicants should have a MSc-degree in mathematics with special focus in mathematical analysis or partial differential equations, or comparable competence. Candidates completing their MSc-degree in the spring 2016 are encouraged to apply. Applications are to be submitted electronically through www.jobbnorge.no. For further information, see https://www.jobbnorge.no/ledige- stillinger/stilling/125388/2-phd-positions-in-mathematics, or contact Professor Helge Holden by email . Deadline: May 31, 2016. ------ Subject: Postdoc Position, Ocean Biogeochemical Modeling, MBL and MIT From: Joe Vallino Date: May 11, 2016 A postdoctoral position in Ocean Biogeochemical Modeling is available at the Marine Biological Lab, Woods Hole. This NSF-funded, collaborative project with the Massachusetts Institute of Technology will focus on developing a thermodynamics- and trait-based biogeochemistry framework to augment the existing marine ecosystem modeling framework ("Darwin model") developed at MIT. We are seeking an individual with a PhD in a scientific field and experience in marine biogeochemical modeling. While not required, knowledge in Fortran, thermodynamics, numerical analysis and/or optimal control theory will be considered advantageous. The successful candidate will be expected to work collaboratively with teams at both MBL and MIT, but will be employed at MBL. Review of applications will begin 1 June 2016 and continue until the position is filled. Funding support is available for three years, but performance will be reviewed on an annual basis. Applications should be submitted through https://mbl.simplehire.com/postings/3389 ------ Subject: New Book on Dynamical Systems From: Alex Haro Date: Mon, 9 May 2016 16:52:06 +0200 (CEST) New book on dynamical systems The Parameterization Method for Invariant Manifolds. From Rigorous Results to Effective Computations. Alex Haro, Marta Canadell, Jordi-Lluis Figueras, Alejandro Luque, Josep-Maria Mondelo Applied Mathematical Sciences, 195. Springer International Publishing (2016) eBook ISBN 978-3-319-29662-3 Hardcover ISBN 978-3-319-29660-9 DOI 10.1007/978-3-319-29662-3 Summary This monograph presents some theoretical and computational aspects of the parameterization method for invariant manifolds, focusing on the following contexts: invariant manifolds associated with fixed points, invariant tori in quasi-periodically forced systems, invariant tori in Hamiltonian systems and normally hyperbolic invariant manifolds. This book provides algorithms of computation and some practical details of their implementation. The methodology is illustrated with 12 detailed examples, many of them well known in the literature of numerical computation in dynamical systems. A public version of the software used for some of the examples is available online. The book is aimed at mathematicians, scientists and engineers interested in the theory and applications of computational dynamical systems.