Contributed seminar articles with reference to India.

The methods of functional analysis have helped solve diverse real-world problems in optimization, modeling, analysis, numerical approximation, and computer simulation. Applied Functional Analysis presents functional analysis results surfacing repeatedly in scientific and technological applications and presides over the most current analytical and numerical methods in infinite-dimensional spaces. This reference highlights critical studies in projection theorem, Riesz representation theorem, and properties of operators in Hilbert space and covers special classes of optimization problems. Supported by 2200 display equations, this guide incorporates hundreds of up-to-date citations.

Contains recent ideas and results in three areas of growing importance in curve and surface design: algebraic methods, variational surface design, and some special applications. Leading researchers from throughout the world have contributed their latest work and provided several promising solutions to open issues in surface modeling.

This book is a compendium of fundamental mathematical concepts, methods, models, and their wide range of applications in diverse fields of engineering. It comprises essentially a comprehensive and contemporary coverage of those areas of mathematics which provide foundation to electronic, electrical, communication, petroleum, chemical, civil, mechanical, biomedical, software, and financial engineering. It gives a fairly extensive treatment of some of the recent developments in mathematics which have found very significant applications to engineering problems.

Software is an essential enabler for science and the new economy, but current software methodologies, tools, and techniques are often still not sufficiently robust or reliable for the constantly changing and evolving market, and many promising approaches have proved to be no more than case-oriented methods that are not fully automated. This book presents the proceedings of SoMeT_23, the 22nd International Conference on New Trends in Intelligent Software Methodology, Tools, and Techniques, held from 20–22 September 2023 in Naples, Italy. The conference brings together researchers and practitioners to share original research and practical development experience in software science and related new technologies, and is an opportunity for the software-science community to take stock of where they are today and consider future directions. The 25 papers included here were carefully selected from the many high-quality submissions received after a rigorous review process, with each paper typically being reviewed by 3 or 4 reviewers. Topics covered range from research practices, techniques and methodologies to the solutions required by global business. SoMeT_23 focused in particular on intelligent software, the application of artificial intelligence techniques in software development, and tackling human interaction in the development process for better high-level interface, with an emphasis on human-centric software methodologies, end-user development techniques, and emotional reasoning for an optimum performance between design tool and user. Exploring trends, theories, and challenges in the integration of software and science for tomorrow’s global information society, the book captures a new state-of-the-art in software science and its supporting technology and will be of interest to all those working in the field.

Mark Alber, Bei Hu and Joachim Rosenthal ... ... vii Part I Some Remarks on Applied Mathematics Roger Brockett ... ... ... ... ... 1 Mathematics is a Profession Christopher 1. Byrnes ... ... ... ... . 4 Comments on Applied Mathematics Avner Friedman ... ... ... ... . . 9 Towards an Applied Mathematics for Computer Science Jeremy Gunawardena ... ... ... ... . 11 Infomercial for Applied Mathematics Darryl Holm ... ... ... ... ... 15 On Research in Mathematical Economics M. Ali Khan ... ... ... ... ... 21 Applied Mathematics in the Computer and Communications Industry Brian Marcus ... ... ... ... ... 25 'frends in Applied Mathematics Jerrold E. Marsden ... ... ... ... 28 Applied Mathematics as an Interdisciplinary Subject Clyde F. Martin ... ... ... ... . 31 vi Contents Panel Discussion on Future Directions in Applied Mathe matics Laurence R. Taylor ... ... ... ... 38 Part II Feedback Stabilization of Relative Equilibria for Mechanical Systems with Symmetry A.M. Bloch, J.E. Marsden and G. Sanchez ... ... . 43 Oscillatory Descent for Function Minimization R. Brockett ... ... ... ... ... 65 On the Well-Posedness of the Rational Covariance Extension Problem C. l. Byrnes, H.J. Landau and A. Lindquist ... ... 83 Singular Limits in Fluid Mechanics P. Constantin ... ... ... ... ... 109 Singularities and Defects in Patterns Far from Threshold N.M. Ercolani ... ... ... ... ... 137 Mathematical Modeling and Simulation for Applications of Fluid Flow in Porous Media R.E. Ewing ... ... ... ... ... 161 On Loeb Measure Spaces and their Significance for N on Cooperative Game Theory M.A. Khan and Y. Sun ... ... ... ... 183 Mechanical Systems with Symmetry, Variational Principles, and Integration Algorithms J.E. Marsden and J.M. Wendlandt ... ... ... 219 Preface The applied sciences are faced with increasingly complex problems which call for sophisticated mathematical models.

This book discusses a variety of topics related to industrial and applied mathematics, focusing on wavelet theory, sampling theorems, inverse problems and their applications, partial differential equations as a model of real-world problems, computational linguistics, mathematical models and methods for meteorology, earth systems, environmental and medical science, and the oil industry. It features papers presented at the International Conference in Conjunction with 14th Biennial Conference of ISIAM, held at Guru Nanak Dev University, Amritsar, India, on 2–4 February 2018. The conference has emerged as an influential forum, bringing together prominent academic scientists, experts from industry, and researchers. The topics discussed include Schrodinger operators, quantum kinetic equations and their application, extensions of fractional integral transforms, electrical impedance tomography, diffuse optical tomography, Galerkin method by using wavelets, a Cauchy problem associated with Korteweg–de Vries equation, and entropy solution for scalar conservation laws. This book motivates and inspires young researchers in the fields of industrial and applied mathematics.

Presents the broad outline of NIH organizational structure, theprofessional staff, and their scientific and technical publications covering work done at NIH.

This collection of ideas and results on topics of curve and surface design is intended for research in the academic environment as well as for practical use in industrial applications. Main emphasis is on minimal energy splines and geometric spline curves, and on techniques beyond tensor product surfaces.

This text includes papers covering topics in geometry processing applications, such as surface-surface intersections and offset surfaces. Present methods fundamental to geometric modelling are highlighted.