Numerical Analysis and Optimization: NAO-V, Muscat, Oman, January 2020

This book summarizes the peer-reviewed contributions presented at the Fifth International Conference on Numerical Analysis and Optimization (NAO-V), held at Sultan Qaboos University, Oman, in 2020. The conference focuses on developments in key fields such as numerical analysis, optimization, linear algebra, differential equations, optimal control, approximation theory, applied mathematics, and challenging applications in various industries. The book highlights the interdisciplinary nature of optimization, with applications in big data, cloud computing, supercomputing, and other complex numerical algorithms.

Format: Hardback
Length: 297 pages
Publication date: 27 November 2021
Publisher: Springer Nature Switzerland AG

The Fifth International Conference on Numerical Analysis and Optimization (NAO-V) was held at Sultan Qaboos University, Oman, from January 6 to 9, 2020. This book presents selected, peer-reviewed contributions from the conference, covering various areas of numerical analysis and optimization.

Numerical analysis involves the study of mathematical models and algorithms for solving problems in science and engineering. It encompasses techniques such as linear algebra, differential equations, and optimization. Numerical optimization is concerned with finding the best solution to a problem from a given set of options. It is widely used in fields such as finance, economics, and engineering.

Numerical linear algebra is a branch of mathematics that deals with the solution of linear systems of equations. It is used in various applications, including computer graphics, signal processing, and scientific computing. Numerical differential equations are used to model complex systems in physics, biology, and engineering. They involve the solution of differential equations with numerical methods.

Optimal control is a branch of mathematics that deals with the design of control systems for systems that are subject to constraints. It involves the optimization of performance criteria such as cost, efficiency, and stability. Approximation theory is used to find approximate solutions to complex problems. It involves the use of mathematical models and algorithms to reduce the complexity of the problem.

Applied mathematics is a field that applies mathematical techniques to solve problems in various fields, such as physics, engineering, and business. Derivative-free optimization methods are used to find solutions to optimization problems without the need for derivatives. Programming models are used to represent and solve complex systems. They are used in areas such as artificial intelligence, machine learning, and simulation.

Challenging applications that frequently arise in statistics, econometrics, finance, physics, medicine, biology, engineering, and industry are also covered in this book. Many real-world, complex problems can be formulated as optimization tasks, and can be characterized further as large scale, unconstrained, constrained, non-convex, nondifferentiable, or discontinuous. Therefore, adequate computational methods, algorithms, and software tools are required to solve these problems.

These same tools are often employed by researchers working in current IT hot topics, such as big data, optimization, and other complex numerical algorithms in the cloud. Devising special techniques for supercomputing systems is also a focus of research.

The NAO conference series is held every three years at Sultan Qaboos University, with the aim of bringing together a group of international experts and presenting novel and advanced applications to facilitate interdisciplinary studies among pure scientific and applied knowledge. It is a venue where prominent scientists gather to share innovative ideas and know-how relating to new scientific methodologies, to promote scientific exchange, to discuss possible future cooperations, and to promote the mobility of local and young researchers.

In conclusion, this book provides a comprehensive overview of the latest developments in numerical analysis and optimization. It covers a wide range of topics, from theoretical foundations to practical applications, and is a valuable resource for researchers, practitioners, and students in the field. The NAO conference series continues to play a crucial role in promoting interdisciplinary studies and advancing the state-of-the-art in numerical analysis and optimization.

Weight: 641g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030720391
Edition number: 1st ed. 2021