Subject: NA Digest, V. 16, # 27 NA Digest Monday, July 18, 2016 Volume 16 : Issue 27 Today's Editor: Daniel M. Dunlavy Sandia National Labs [log in to unmask] Today's Topics: Roger Fletcher (1939-2016) Quantitative Investigation of Random Processes FEATool Multiphysics v1.5 Matlab FEM Toolbox Released MILES: MATLAB package for mixed integer least squares New Book, Infinite Matrices and their Recent Applications IMA Numerical Linear Algebra and Optimisation, UK, Sep 2016 Numerical Analysis of Evolution Equations, Austria, Nov 2016 SIAM CSE17, USA, Feb-Mar 2017 Preconditioning 2017, Canada, Jul-Aug 2017 Scientific Programmer Position (PDRA), Univ of Reading Tenure-Track Positions, The Univ of Hong Kong PhD Position, Numerics for Control, KU Leuven Postdoc Position, Numerical Linear Algebra, EPFL Postdoc/PhD Position, Numerical Analysis, Univ of Stuttgart PhD Position, Uncertainty Quantification/Stochastic PDEs PhD Positions, Funded Bioengineering, Univ of Auckland Computational Software Section in CiCP. Contents, IMA Journal of Numerical Analysis, 36 (3) Contents, Journal of Scientific Computing, 68 (1-2) Subscribe, unsubscribe, change address, or for na-digest archives: http://www.netlib.org/na-digest-html/faq.html Submissions for NA Digest: http://icl.cs.utk.edu/na-digest/ ------------------------------------------------------- From: David Griffiths [log in to unmask] Date: July 17, 2016 Subject: Roger Fletcher (1939-2016) It is with great sadness that we report the death of Roger Fletcher, an Emeritus Professor and Senior Research Fellow at the University of Dundee. Roger was in the first rank of numerical analysts, working mainly in linear algebra and optimization. He is particularly known for his wide ranging work in optimization, where he made many highly original and fundamentally important contributions, and numerous methods bear his name. In addition to the development of methods, Roger also produced several computer programs based on his work which are widely used today. He collaborated widely, and supervised many students and research fellows who went on to make their own major contributions. The quality of his work was recognised by various honours. He was awarded the Dantzig Prize in 1997 and the Lagrange Prize in 2006, both by the Mathematical Optimization Society; he was elected a Fellow of the Royal Society of Edinburgh in 1988, a Fellow of the Royal Society of London in 2003, a SIAM Fellow in 2009 and was awarded a Royal Medal by the Royal Society of Edinburgh in 2011. Away from Mathematics, he was an enthusiastic swimmer, an accomplished bridge player, and enjoyed walking in the Scottish hills. It was during a walk from his holiday accommodation near Dornie on the west coast of Scotland that Roger went missing, but the details of what caused his death are still unclear. Roger was a good friend to many, and splendid company at all times. He leaves a wife Mary, and two daughters Jane and Sarah. He will be greatly missed. David Griffiths and Alistair Watson ------------------------------------------------------- From: Bernard Beauzamy [log in to unmask] Date: July 11, 2016 Subject: Quantitative Investigation of Random Processes We recently started an investigation of random walks in the plane, mostly from the point of view of their irregularities (for instance, Khinchin's Law of the Iterated Logarithm). This has interesting consequences for Industrial companies: if a sample is tested, how to define it and how to exploit it. We are seeking collaboration, either with individuals or with institutions, on these topics. This collaboration may have three aspects: - A better understanding of the underlying theories, with new quantitative tools; - The development of simulation software, in order to allow a better practical understanding, but also a presentation to people who are new in the field; - A specific study of samples with industrial contents. For further information, please see: http://www.scmsa.eu/archives/SCM_Collabo_Random_Processes_2016_07.pdf ------------------------------------------------------- From: JS Hysing [log in to unmask] Date: July 07, 2016 Subject: FEATool Multiphysics v1.5 Matlab FEM Toolbox Released FEATool Multiphysics version 1.5 is now available. FEATool is designed to be a very easy to use PDE and FEM Multiphysics Simulation Toolbox for Matlab and GNU Octave. The new release brings the following major features and improvements - Redesigned and improved 3D geometry, CAD engine, and post processing - Support for external function calls for equation and boundary coefficients, write your own Matlab m-script coefficent functions and call them directly from the Gui - Generalized Navier-Stokes slip boundary conditions, for fluid flow problems with curved and non-axis aligned boundaries - Gui menu support for grid conversion and smoothing allowing convenient conversion between triangular, quadrilateral, tetrahedral, and hexahedral grids - Gui usability and stability improvements such as interruptible waitbars for grid generation and solvers and more Please visit http://www.featool.com for more information. ------------------------------------------------------- From: Xiao-Wen Chang [log in to unmask] Date: July 12, 2016 Subject: MILES: MATLAB package for mixed integer least squares MILES: MATLAB package for solving Mixed Integer LEast Squares problems A new version of MILES is now available at http://cs.mcgill.ca/~chang/software/MILES.php This package now includes routines for solving standard integer least squares problems, standard mixed integer least squares problems, and overdetermined box-constrained integer least squares problems (including nonnegative integer least squares problems). ------------------------------------------------------- From: K.C. Sivakumar [log in to unmask] Date: July 12, 2016 Subject: New Book, Infinite Matrices and their Recent Applications Infinite Matrices and their Recent Applications P.N. Shivakumar, K.C. Sivakumar and Y. Zhang Springer International Publishing This monograph covers the theory of finite and infinite matrices over the fields of real numbers, complex numbers and over quaternions. Emphasizing topics such as sections or truncations and their relationship to the linear operator theory on certain specific separable and sequence spaces, the authors explore techniques like conformal mapping, iterations and truncations that are used to derive precise estimates in some cases and explicit lower and upper bounds for solutions in the other cases. Most of the matrices considered in this monograph have typically special structures like being diagonally dominated or tridiagonal, possess certain sign distributions and are frequently nonsingular. Such matrices arise, for instance, from solution methods for elliptic partial differential equations. The authors focus on both theoretical and computational aspects concerning infinite linear algebraic equations, differential systems and infinite linear programming, among others. Additionally, the authors cover topics such as Bessel’s and Mathieu's equations, viscous fluid flow in doubly connected regions, digital circuit dynamics and eigenvalues of the Laplacian. e-Book ISBN: 978-3-319-30180-8 Hard cover ISBN: 978-3-319-30179-2 ------------------------------------------------------- From: Pamela Bye [log in to unmask] Date: July 13, 2016 Subject: IMA Numerical Linear Algebra and Optimisation, UK, Sep 2016 Fifth IMA Conference on Numerical Linear Algebra and Optimization University of Birmingham, UK 7 - 9 September 2016 Conference topics include any subject that could be of interest to both communities, such as: Direct and iterative methods for large sparse linear systems; Eigenvalue computation and optimization; Large-scale nonlinear and semidefinite programming; Effect of round-off errors, stopping criteria, embedded iterative procedures; Optimization issues for matrix polynomials; Fast matrix computations; Compressed/sparse sensing; PDE-constrained optimization; Distributed computing and optimization; Applications and real time optimization. Invited speakers: Tim Davis, Anders Forsgren, Andreas Frommer, Jacek Gondzio, Laura Grigori, Jennifer Scott, Lieven Vandenberghe. Conference venue: The conference will be hosted by the University of Birmingham. Talks will take place in the School of Mathematics. Please note that the deadline for submissions has now passed. Further information Conference webpage: http://tinyurl.com/IMANLAO2016 ------------------------------------------------------- From: Alexander Ostermann [log in to unmask] Date: July 08, 2016 Subject: Numerical Analysis of Evolution Equations, Austria, Nov 2016 Workshop: Numerical Analysis of Evolution Equations Innsbruck (Austria), November 8-11, 2016 In November 2016, the 9th Workshop on the numerical analysis of evolution equations will take place at the University of Innsbruck. The plenary speakers are: - Prof. Martin Gander (Geneva, Switzerland) - Prof. Mari Paz Calvo (Valladolid, Spain) The intention of the workshop is to provide a platform for exchanging new ideas and results in the development of numerical methods for evolution equations. The workshop covers both, theoretical and practical aspects, and aims at bringing together numerical analysts working in the field as well as PhD students. For more information, see https://numerical-analysis.uibk.ac.at/conference-2016 ------------------------------------------------------- From: Jan S Hesthaven [log in to unmask] Date: July 11, 2016 Subject: SIAM CSE17, USA, Feb-Mar 2017 SIAM Conference on Computational Science and Engineering (SIAM CSE'17) Location: Atlanta, Georgia, USA Dates: February 27-March 3, 2017 The Call for Participation for this conference is now available. Please visit http://www.siam.org/meetings/cse17 for more information. SUBMISSION DEADLINES August 1, 2016: Minisymposium proposals August 29, 2016: Abstracts for contributed and minisymposium speakers August 29, 2016: Abstracts for contributed posters and minisymposterium posters (thematic groups) TRAVEL FUND APPLICATION DEADLINE August 19, 2016: SIAM Student Travel Award and Post-doc/Early Career Travel Award Applications Detailed guidelines for the preparation of abstract, minisymposia and poster submissions are available at http://www.siam.org/meetings/cse17/submissions.php We especially encourage submissions of posters to CSE17, where we will have expanded poster sessions, including demos and thematic groups of posters (or poster minisymposia), as well as poster prizes. CSE17 poster sessions will be great opportunities for networking and interacting in depth about research topics. More details are below and on the CFP. Contact SIAM Conference Department at [log in to unmask] with any questions about the conference. ------------------------------------------------------- From: Chen Greif [log in to unmask] Date: July 17, 2016 Subject: Preconditioning 2017, Canada, Jul-Aug 2017 PRECONDITIONING 2017 - INTERNATIONAL CONFERENCE ON PRECONDITIONING TECHNIQUES FOR SCIENTIFIC AND INDUSTRIAL APPLICATIONS DATE: July 31-August 2, 2017 VENUE: Vancouver, Canada This conference is a sequel to nine successful meetings on preconditioning (one every two years), which address complex issues related to the solution of general sparse matrix problems in large-scale applications and in industrial settings. The goal of the conference is to exchange ideas on recent developments in preconditioning techniques for sparse linear systems of equations, and to a lesser extent for eigenvalue problems. A forthcoming announcement will provide details on focus areas, paper submission, important dates, program committee members, and invited speakers. Chen Greif, University of British Columbia Esmond Ng, Lawrence Berkeley National Laboratory Yousef Saad, University of Minnesota Andy Wathen, Oxford University ------------------------------------------------------- From: Phil Browne [log in to unmask] Date: July 12, 2016 Subject: Scientific Programmer Position (PDRA), Univ of Reading The University of Reading is seeking a scientific programmer to help develop and support users of the EMPIRE data assimilation system. http://www.met.reading.ac.uk/~darc/empire The post will be funded by the National Centre for Earth Observation (NCEO) and will maintain the EMPIRE data-assimilation software system. Data assimilation is the science of combining large numerical models of a system with observations of that system in a statistically sound way, exploring Bayes Theorem. The software system consists of an efficient implementation of several state-of-the-art ensemble data-assimilation methods, like Ensemble Kalman Filters and Particle Filters. It allows for extremely efficient coupling with any numerical geoscience model via MPI. The system needs to be developed further, including more data-assimilation methods like efficient particle filters and variational methods based on ensemble covariances, automatic covariance generation tools, etc. The post is also expected to be actively involved in the generation of new nonlinear more efficient data-assimilation methods. Furthermore, the usefulness and possibilities of a merger with the German PDAF system is to be investigated. An important aspect of the post will be support for present and future users of the system. Full details can be found at https://www.reading.ac.uk/15/about/jobs/about-job-details.aspx?vacancy_id=156076ArAM Informal enquires can be directed to Peter Jan van Leeuwen [log in to unmask] or Phil Browne [log in to unmask] ------------------------------------------------------- From: Tuen Wai Ng [log in to unmask] Date: July 12, 2016 Subject: Tenure-Track Positions, The Univ of Hong Kong Tenure-Track Professor/Associate Professor/Assistant Professor (2 posts) in Applied Mathematics, The University of Hong Kong (Ref.: 201600853) Applications are invited for two tenure-track appointments as Professor/Associate Professor/Assistant Professor in the Department of Mathematics, to commence from September 1, 2017 or as soon as possible thereafter. The appointments will initially be made on a three- year term basis, with the possibility of renewal. The Department of Mathematics provides a solid general undergraduate education in mathematics, offers supervision in graduate study for students with a strong interest in and a capacity for mathematics, and engages in teaching and research aiming at a high international standing. Information about the Department can be obtained at http://www.hku.hk/math/. Candidates in all areas of Applied Mathematics will be considered, with preference given to those working in the areas of Optimization (with applications in Big Data Science) and Scientific Computing (with applications in Financial Mathematics). The appointees will be expected to teach undergraduate and postgraduate courses, supervise research students and also actively engage in outreach and service. A globally competitive remuneration package commensurate with the appointee's qualifications and experience will be offered. At current rates, salaries tax does not exceed 15% of gross income. The appointments will attract a contract-end gratuity and University contribution to a retirement benefits scheme, totalling up to 15% of basic salary, as well as annual leave, and medical benefits. Housing benefits will be provided as applicable. Applicants should send a completed application form, together with an up-to-date C.V. containing information on educational and professional experience, a complete list of publications, a survey of past research and teaching experience, a research plan for the next few years, and a statement on teaching philosophy to [log in to unmask] They should also arrange for submission, to the same e-mail address as stated above, three reference letters from senior academics. One of these senior academics should be asked to comment on the applicant's ability in teaching, or the applicant should arrange to have an additional reference letter on his/her teaching sent to the same e-mail address as stated above. Please indicate clearly which level they wish to be considered for and the reference number in the subject of the e-mail. Application forms (341/1111) can be downloaded at http://www.hku.hk/apptunit/form-ext.doc and further particulars can be obtained at http://jobs.hku.hk/. Review of applications will start from December 1, 2016 and continue until June 30, 2017. The University thanks applicants for their interest, but advises that only candidates shortlisted for interviews will be notified of the application result. The University is an equal opportunities employer and is committed to a Non-Smoking Policy ------------------------------------------------------- From: Wim Michiels [log in to unmask] Date: July 18, 2016 Subject: PhD Position, Numerics for Control, KU Leuven At the Computer Science department of KU Leuven there is vacant PhD position in the area of computational control and optimization of large-scale interconnected systems. The aim of the PhD project is to develop novel, decentralized control schemes. For large networks it is expensive, if not impossible, to control all systems individually, and centralized solutions are infeasible. A the same time, the exiting theoretical framework of decentralized control is not adapted toward complex systems where the overall dynamics are largely determined by the interactions. Hence, a shift of the control paradigm is needed. Besides computing optimal controller parameters, we focus on optimizing the topology of the network, that is, we determine which systems need to interact in order to optimize a global objective in an efficient way. While the focus is on development of computational methods, applications are foreseen in robotics and sensor networks. The PhD researcher will spend the two years at KU Leuven (Belgium) and the final year at Ecole Centrale de Lille (France), and he/she will be awarded a joint doctoral diploma upon a successful completion. What do we offer? An interdisciplinary research project, a stimulating environment at two European top universities, a balanced and personalized PhD trajectory, with attention paid to transferable skills development and exposure to both academic and non-academic environments, and a highly competitive salary (Marie Sklodowska-Curie program of EU). The position is in the framework of the project UCoCoS. Eligibility criteria, mobility requirements, and application instructions can be found at the website http://ucocos-project.eu, position ESR5. Deadline: September 1. ------------------------------------------------------- From: Daniel Kressner [log in to unmask] Date: July 13, 2016 Subject: Postdoc Position, Numerical Linear Algebra, EPFL The Chair of Numerical Algorithms and HPC (http://anchp.epfl.ch/) at Ecole Polytechnique Federale de Lausanne (EPFL) has an opening for a postdoctoral fellow in the field of Numerical Linear Algebra. EPFL provides a stimulating, collaborative and fun research environment with state-of-the-art facilities. One of the leading technical universities worldwide, EPFL is located in Lausanne next to Lake Geneva in a scenic setting. Topics of interest include, but are not limited to: Tensors, low-rank approximation, eigenvalue problems, matrix functions, randomized algorithms, optimization, and parallel computing. Applicants are expected to have finished, or to be about to finish their Ph.D. degrees. They should have an exceptional background in numerical linear algebra, optimization, or a closely related field. A track record of relevant publications at top applied mathematics or engineering journals is essential. The working language at EPFL is English. Starting date: preferably January 2017 For informal enquiries, please contact Daniel Kressner, [log in to unmask] The application letter including a curriculum vitae with a list of publications and contact details for 3 references should be sent via email to Annick Gaudin, [log in to unmask] ------------------------------------------------------- From: Bernard Haasdonk [log in to unmask] Date: July 15, 2016 Subject: Postdoc/PhD Position, Numerical Analysis, Univ of Stuttgart We welcome applications for a research associate position in the research group ``Numerical Mathematics'' at the IANS, University of Stuttgart, Germany. The position with the designated salary bracket TV-L E13 100% is to be filled as soon as possible and has a limited tenure of 2 years with possible extension. The position is affiliated to a DFG-funded project "Certified model reduction for coupled mechanical systems". This is a joint endeavour between Engineering (ITM, Prof. J. Fehr) and Mathematics (IANS, Prof. B. Haasdonk) with a research affiliate in each of the two groups. Here we announce the position for the research associate in Mathematics. The goal of the project is to develop certified model reduction techniques for coupled multibody systems, where the bodies are modelled by linear elasticity, while being nonlinearly coupled. Aspects of the model reduction comprise component-based reduction, port-reduction, a-posteriori error control, and certified coupled reduced simulation of real-world models. The goal is in particular to enable error quantification with commercial multibody packages. Therefore, the highly motivated candidate should idealy have a MSc or PhD degree in Mathematics or a related discipline with strong mathematical focus. In particular we expect a background in numerical analysis for ODEs. Additionally, solid knowledge in model reduction and mechanics are desired. Good programming skills (MATLAB) are essential for developing a joint software tool. Applications with the usual documents (letter of motivation, curriculum vitae, degrees and certificates, course list, contact information of 2 referees) should be sent electronically as single PDF file to Prof. Dr. Bernard Haasdonk, [log in to unmask] Review of applications will start July 19th 2016. ------------------------------------------------------- From: Clemens Heitzinger [log in to unmask] Date: July 18, 2016 Subject: PhD Position, Uncertainty Quantification/Stochastic PDEs A position for a PhD student is available within a cooperation between the University of Udine and TU Wien. The topics are stochastic partial differential equations, numerical methods, and an application in nanotechnology. Details: http://www.heitzinger.info/Figures/Joint%20program.pdf Application deadline: August 1, 2016 ------------------------------------------------------- From: jichao zhao [log in to unmask] Date: July 17, 2016 Subject: PhD Positions, Funded Bioengineering, Univ of Auckland Image-based computer models to investigate mechanisms behind atrial fibrillation Principal supervisor: Jichao Zhao, Senior Research Fellow, [log in to unmask] Health Research Council of New Zealand. We have funding that will cover tuition fees and provide support (an annual tax-free allowance in the form of a fortnightly stipend) for multiple PhD students. Multiple PhD positions are available for this project. The successful candidates will work with Dr Jichao Zhao and the ABI cardiac group to investigate mechanisms of atrial fibrillation by novel structural analysis and image-based computer models. Funding is for three years in the first instance, with possible extension for a further year. Atrial fibrillation is the most common form of heart rhythm disturbance and the ABI has developed a novel image-based computer model of the atrial chambers that is providing new insight into the factors that contribute to short-lived episodes of atrial fibrillation. This project will extend the model to deal with atrial fibrosis of persistent atrial fibrillation and is part of an international collaboration. The research topics of the multiple PhD students include: atrial cellular model development and computer simulations; computer model development and simulation studies of effective ablation strategy for AF termination; development of signal processing tools for atrial electrograms acquired in clinical and experimental settings; development of efficient numerical solvers (finite difference) for cardiac equations and investigate the impact of fibrosis on electrical propagation. We require someone with a Masters' or a Bachelors' degree with Honours (Second Class Honours, Division One or better) in Engineering, Physics or Mathematics. Undergraduate experience in scientific computing, imaging and physiology would be an advantage. ------------------------------------------------------- From: Jingfang Huang [log in to unmask] Date: July 09, 2016 Subject: Computational Software Section in CiCP. It is truly our honor to reach our scientific computing community and announce the creation of a "computational software" section in the journal of "Communications in Computational Physics" (CiCP), which is devoted to the publication of scientific software related research results in a very broad sense, preferably with the open-source software packages. We hope this section will become a useful platform to our community to share research results and related computer codes. We are proud to present the first two papers published in this section: http://dx.doi.org/10.4208/cicp.150215.260615sw and http://dx.doi.org/10.4208/cicp.020215.150515sw, We want to encourage our colleagues to consider this section when publicizing their research results. This section has a special format requirement and the sample latex files can be found at http://www.global-sci.com/TeX.html. The authors may either provide a link to their software in the paper, or submit the software as "Supplementary Material" using the online submission system. The software will be tested by the journal before publication. You are encouraged to contact the new Section's associate editors Profs. Jingfang Huang ([log in to unmask]) or Benzhuo Lu ([log in to unmask]) if you have any questions. ------------------------------------------------------- From: Kathryn Roberts [log in to unmask] Date: July 15, 2016 Subject: Contents, IMA Journal of Numerical Analysis, 36 (3) IMA Journal of Numerical Analysis Links to all articles in this issue are available online at: http://www.oxfordjournals.org/page/6942/1 Tim Mitchell and Michael L. Overton, Hybrid expansion-contraction: a robust scaleable method for approximating the H-infinity norm Charles Brett, Andreas Dedner, and Charles Elliott, Optimal control of elliptic PDEs at points Sören Bartels, A simple scheme for the approximation of elastic vibrations of inextensible curves Olaf Steinbach, Barbara Wohlmuth, and Linus Wunderlich, Trace and flux a priori error estimates in finite-element approximations of Signorni-type problems C. Carstensen, D. Gallistl, and M. Schedensack, L2 best approximation of the elastic stress in the Arnold-Winther FEM Carsten Carstensen, Neela Nataraj, and Amiya K. Pani, Comparison results and unified analysis for first-order finite volume element methods for a Poisson model problem Marcelo Actis, Pedro Morin, and Marilina Carena, Nonlocal diffusions on fractals: qualitative properties and numerical approximations P. Grohs and S. Hosseini, Nonsmooth trust region algorithms for locally Lipschitz functions on Riemannian manifolds Christine Bernardi, Sarra Maarouf, and Driss Yakoubi, Spectral discretization of Darcy's equations coupled with the heat equation Fernando D. Gaspoz, Claus-Justus Heine, and Kunibert G. Siebert, Optimal grading of the newest vertex bisection and H1-stability of the L2-projection Jörg Liesen, Pták's nondiscrete induction and its application to matrix iterations Lars Ludwig and Hans-Goerg Roos, Convergence and supercloseness of a finite element method for a singularly perturbed convection-diffusion problem on an L-shaped domain James Adler, Scott MacLachlan, and Niall Madden, A first-order system Petrov-Galerkin discretization for a reaction-diffusion problem on a fitted mesh Lyonell Boulton and Aatef Hobiny, On the convergence of the quadratic method Fotini Karakatsani, A posteriori error estimates for fully discrete fractional-step ϑ-approximations for parabolic equations Ken'ichiro Tanaka, A fast and accurate numerical method for symmetric Lévy processes based on the Fourier transform and sinc-Gauss sampling formula Rida T. Farouki, Francesca Pelosi, Maria Lucia Sampoli, and Alessandra Sestini, Tensor-product surface patches with Pythagorean-hodograph isoparametric curves JaEun Ku, Localized pointwise error estimates for direct flux approximation Bin Wu and Qinghui Zhang, Fast multiscale regularization methods for high-order numerical differentiation Zixian Jiang and Armin Lechleiter, Computing interior eigenvalues of domains from far fields ------------------------------------------------------- From: Chi-Wang Shu [log in to unmask] Date: July 07, 2016 Subject: Contents, Journal of Scientific Computing, 68 (1-2) Journal of Scientific Computing http://www.springeronline.com/journal/10915 Volume 68, Number 1, July 2016 A Fast Gradient Projection Method for a Constrained Fractional Optimal Control, Ning Du, Hong Wang and Wenbin Liu, pp.1-20. Goal-Oriented Error Estimation for the Reduced Basis Method, with Application to Sensitivity Analysis, Alexandre Janon, Maelle Nodet and Clementine Prieur, pp.21-41. A Sign Preserving WENO Reconstruction Method, Ulrik S. Fjordholm and Deep Ray, pp.42-63. Constrained TV p-l2 Model for Image Restoration, Alessandro Lanza, Serena Morigi and Fiorella Sgallari, pp.64-91. A 5-Wave Relaxation Solver for the Shallow Water MHD System, Francois Bouchut and Xavier Lhebrard, pp.92-115. Asymptotic Analysis and Error Estimates of Mixed Finite Element Method for Brinkman Model, Pengtao Sun and Yuzhou Sun, pp.116-142. Stability Analysis of Discontinuous Galerkin Approximations to the Elastodynamics Problem, Paola F. Antonietti, Blanca Ayuso de Dios, Ilario Mazzieri and Alfio Quarteroni, pp.143-170. An Explicit High-Order Single-Stage Single-Step Positivity-Preserving Finite Difference WENO Method for the Compressible Euler Equations, David C. Seal, Qi Tang, Zhengfu Xu and Andrew J. Christlieb, pp.171-190. A Hybridized Discontinuous Galerkin Method for the Nonlinear Korteweg-de Vries Equation, Ali Samii, Nishant Panda, Craig Michoski and Clint Dawson, pp.191-212. Legendre Spectral Projection Methods for Fredholm-Hammerstein Integral Equations, Payel Das, Mitali Madhumita Sahani, Gnaneshwar Nelakanti and Guangqing Long, pp.213-230. Adaptive Finite Difference Methods for Nonlinear Elliptic and Parabolic Partial Differential, Equations with Free Boundaries Adam M. Oberman and Ian Zwiers, pp.231-251. Numerical Identification of the Fractional Derivatives in the Two-Dimensional Fractional Cable Equation, Bo Yu and Xiaoyun Jiang, pp.252-272. Block Decomposition Methods for Total Variation by Primal-Dual Stitching, Chang-Ock Lee, Jong Ho Lee, Hyenkyun Woo and Sangwoon Yun, pp.273-302. Symmetric Coupling of LDG-FEM and DG-BEM, Norbert Heuer, Salim Meddahi and Francisco-Javier Sayas, pp.303-325. C0 IP Methods for the Transmission Eigenvalue Problem, Hongrui Geng, Xia Ji, Jiguang Sun and Liwei Xu, pp.326-338. Penalty Method for the Stationary Navier-Stokes Problems Under the Slip Boundary Condition, Guanyu Zhou, Takahito Kashiwabara and Issei Oikawa, pp.339-374. A Recovery Based Linear Finite Element Method For 1D Bi-Harmonic Problems, Hongtao Chen, Zhimin Zhang and Qingsong Zou, pp.375-394. Robust Approximation Algorithms for the Detection of Attraction Basins in Dynamical Systems, Roberto Cavoretto, Alessandra De Rossi, Emma Perracchione and Ezio Venturino, pp.395-415. Volume 68, Number 2, August 2016 Efficient Spectral-Galerkin Method and Analysis for Elliptic PDEs with Non-local Boundary Conditions, Lina Hu, Lina Ma and Jie Shen, pp.417-437. Developing a Time-Domain Finite Element Method for the Lorentz Metamaterial Model and Applications, Wei Yang, Yunqing Huang and Jichun Li, pp.438-463. Positivity-Preserving High Order Finite Volume HWENO Schemes for Compressible Euler Equations, Xiaofeng Cai, Xiangxiong Zhang and Jianxian Qiu, pp.464-483. A Numerical Framework for Integrating Deferred Correction Methods to Solve High Order Collocation Formulations of ODEs, Wenzhen Qu, Namdi Brandon, Dangxing Chen, Jingfang Huang and Tyler Kress, pp.484-520. A Cell-Centered Nonlinear Finite Volume Scheme Preserving Fully Positivity for Diffusion Equation, Zhiqiang Sheng and Guangwei Yuan, pp.521-545. Alternating Proximal Gradient Method for Convex Minimization, Shiqian Ma, pp.546-572. Computation Algorithm for Convex Semi-infinite Program with Second-Order Cones: Special Analyses for Affine and Quadratic Case, Shunsuke Hayashi, Soon-Yi Wu and Liping Zhang, pp.573-595. Sparse Pseudo Spectral Projection Methods with Directional Adaptation for Uncertainty Quantification, J. Winokur, D. Kim, F. Bisetti, O.P. Le Maitre and O.M. Knio, pp.596-623. Relations Between WENO3 and Third-Order Limiting in Finite Volume Methods, B. Schmidtmann, B. Seibold and M. Torrilhon, pp.624-652. An Efficient Implicit Compact Streamfunction Velocity Formulation of Two Dimensional Flows, Swapan K. Pandit and Hemanta Karmakar, pp.653-688. Solving Multi-linear Systems with M-Tensors, Weiyang Ding and Yimin Wei, pp.689-715. Computing Extreme Eigenvalues of Large Scale Hankel Tensors, Yannan Chen, Liqun Qi and Qun Wang, pp.716-738. A Novel Scheme for Liouville's Equation with a Discontinuous Hamiltonian and Applications to Geometrical Optics, Bart S. van Lith, Jan H.M. ten Thije Boonkkamp, Wilbert L. IJzerman and Teus W. Tukker, pp.739-771. A Spectral Element Method with Transparent Boundary Condition for Periodic Layered Media Scattering, Ying He, Misun Min and David P. Nicholls, pp.772-802. Analysis and Practical Use of Flexible BiCGStab, Jie Chen, Lois C. McInnes and Hong Zhang, pp.803-825. A Hybridized Discontinuous Galerkin Method for 2D Fractional Convection-Diffusion Equations, Shuqin Wang, Jinyun Yuan, Weihua Deng and Yujiang Wu, pp.826-847. An Adaptive P1P1 Finite Element Method for Two-Dimensional Transverse Magnetic Time Harmonic Maxwell's Equations with General Material Properties and General Boundary Conditions, S.C. Brenner, J. Gedicke and L.-Y. Sung, pp.848-863. Variational Image Colorization Models Using Higher-Order Mumford-Shah Regularizers, Miyoun Jung and Myungjoo Kang, pp.864-888. ------------------------------------------------------- End of Digest **************************