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Books in Numerical methods in engineering

This portfolio focuses on computational techniques, algorithms, and simulation methods essential for solving complex engineering problems. It equips researchers and engineers with robust tools for modelling, optimization, and analysis across disciplines. Emphasizing accuracy, efficiency, and real-world applications, these resources enable innovations in design, testing, and performance evaluation.

  • Essentials of the Finite Element Method

    • 2nd Edition
    • July 1, 2026
    • Dimitrios G. Pavlou
    • English
    Finding a single text that covers fundamental concepts, analytical mathematics, and up-to-date software applications for the finite element method (FEM) can be challenging. However, the second edition of Essentials of the Finite Element aims to simplify the search by offering a comprehensive yet concise resource suitable for newcomers to FEM or those in need of a refresher. This edition begins by explaining the basics of FEM and gradually introduces advanced topics, while also illustrating the practical applications of the theory in engineering. The book covers various specific subjects, including linear spring elements, bar elements, trusses, beams and frames, plates, heat transfer, structural dynamics, and buckling. Throughout the text, readers are provided with step-by-step detailed analyses for the development of finite element equations. Moreover, the book demonstrates the programming aspect of FEM, offering examples in MATLAB, EXCEL, CALFEM, and ANSYS. This allows readers to gain insights into developing their own computer code. Designed for a wide range of readers, from first-time BSc/MSc students to experienced researchers and practicing mechanical/structura... engineers, Essentials of the Finite Element Method, Second Edition serves as a comprehensive reference text suitable for modern engineers.

  • Recent Developments in Theory and Applications of Fractional Order Systems

    • 1st Edition
    • August 11, 2025
    • Mehmet Yavuz + 2 more
    • English
    Recent Developments in Theory and Applications of Fractional Order Systems presents a rigorous and thorough analysis of various aspects of Fractional Calculus. The book provides readers with a thorough understanding of fundamental concepts and methods of applied mathematics utilized in a variety of scientific and engineering disciplines. The authors present each computational modeling concept with a definition, methods, theorems, and observations followed by typical application problems and step-by-step solutions. Each topic is covered in detail, followed typically by several meticulously worked out examples and a problem set containing many additional related problems.In addition, the book discusses recent developments and the latest research on Fractional Calculus and its applications, demonstrating important applications in Engineering, Computer Science, Management, Social Science, and the Humanities.

  • Numerical Modeling of Turbulent Combustion

    • 1st Edition
    • June 19, 2025
    • Luc Vervisch + 1 more
    • English
    Numerical Modeling of Turbulent Combustion provides readers with a comprehensive understanding of the specificities involved in numerical simulation of gaseous turbulent reactive flows and flames, including their most current applications. This title is intended for individuals with a background in fluid mechanics who are seeking to delve into the fundamentals of turbulent combustion modeling. It offers methodologies to simulate flames while taking into account their multi-physics character. Moreover, the text addresses emerging numerical technologies within this field and highlights the relevance of new sustainable fuels. The structure of the book is carefully organised to cover various aspects. It begins with an exploration of the fundamentals of aerothermochemistry, presenting key quantities and their corresponding balance equations that require numerical solutions. The book then delves into the essential concepts and tools necessary to handle the strongly non-linear nature of turbulent flames, with a specific focus on the interplay between turbulence and chemistry. Furthermore, readers will gain insights into the numerical modeling of flames within the context of sustainable combustion. This includes the introduction of novel fuels, such as hydrogen and solid metals, which have become increasingly relevant in recent times. The book also takes into account cutting-edge techniques, like the systematic integration of machine learning in numerical simulations of complex systems and the lattice Boltzmann approach. These innovations open new possibilities for tackling challenges in numerical turbulent combustion research. Both the fundamental methods and modeling tools are presented in detail, along with best practice guidelines for their practical application in simulations. This ensures that readers not only grasp the underlying theories but also gain valuable insights into how to implement these techniques effectively. Overall, Numerical Turbulent Combustion serves as a valuable resource for researchers and practitioners alike, offering a comprehensive and up-to-date understanding of numerical simulations in the field of turbulent combustion.

  • The Finite Element Method

    Its Basis and Fundamentals
    • 8th Edition
    • November 21, 2024
    • O. C. Zienkiewicz + 2 more
    • English
    The Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications.This edition sees the significant addition of content that address coupled field problems; this includes formulations and details of algorithms for thermoelastic, chemoelastic, poroelastic, and piezoelectric problems. The material is also illustrated in application to the nonlinear behaviour of energy storage in batteries.Focusing on the core knowledge, mathematical and analytical tools needed for successful application, The Finite Element Method: Its Basis and Fundamentals is the authoritative resource of choice for graduate level students, researchers, and professional engineers involved in finite element-based engineering analysis.

  • Multicriteria Decision-Making Analysis for Civil Engineering Applications

    • 1st Edition
    • October 17, 2024
    • Hossein Bonakdari + 2 more
    • English
    Decision-making is a key factor to achieve success in any discipline, especially in a field like civil engineering, which is based on calculations and requires large amounts of information being taken into account. Most processes and procedures are a compendium of many different tasks and requirements specific to each project under development, and making decisions in such environments can often be an arduous endeavor. That is why the need for analytical criteria capable of assisting with untangling complex scenarios has arisen preponderantly.As an all-encompassing resource, Multicriteria Decision-Making Analysis for Civil Engineering Applications facilitates civil engineers by outlining state-of-the-art techniques for quantitative decision-making to optimally select the appropriate approach when faced with operational issues or to prioritize among multiple options.Authored by recognized experts in the field, this book proves to be a balanced reference volume that is essential not just for civil engineers, but also for a wide variety of audiences in interconnected disciplines.

  • Computational Modeling Applications for Climate Crisis

    • 1st Edition
    • September 26, 2024
    • Utku Kose + 2 more
    • English
    Computational Modeling Applications for Climate Crisis provides readers with innovative research on the applications of computational modeling to moderate climate change. The book begins with an overview and history of climate change, followed by several chapters covering the concepts of computational modeling and simulation, including parameters of climate change, modeling the effects of human activities, visualization tools, and data fusion for advanced modeling applications. It then proceeds to cover decision support systems, modeling of technological solutions for climate change, modeling of greenhouse gas emissions, tracking of climate factors, and modeling of earth resources. In the final chapters of the book, the authors cover nation-based outcomes, big data, and optimization solutions with real-world data and case studies. Climate change is one of the most pressing existential issues for humans and the planet, and this book covers leading-edge applications of computational modeling to the vast array of interdisciplinary factors and challenges posed by climate change. As life itself is a mixture of occurrences that can be mathematically modelled, it is important to work with specific parameters, which are critical for monitoring and controlling the dynamics of the earth, natural resources, technological factors, and human activities.

  • Enriched Numerical Techniques

    Implementation and Applications
    • 1st Edition
    • May 9, 2024
    • Azher Jameel + 3 more
    • English
    Enriched Numerical Techniques: Implementation and Applications explores recent advances in enriched numerical techniques, including the extended finite element method, meshfree methods, extended isogeometric analysis and coupled numerical techniques. Techniques for implementation and programming issues are discussed, with other sections discussing applications for enriched numerical techniques in solving a range of engineering problems. The level set methodologies for complex shaped irregularities is presented, as are enriched numerical methodologies for various complex and advanced problems such as Nonlinear Structural Analysis, Fracture and Fatigue in Structures, Elasto-Plastic Crack Growth, Large Deformation Analysis, Frictional Contact Problems, Thermo-Mechanical Problems, Fluid Flow Investigations, Composite Materials and Bio-mechanics.

  • Practical Programming of Finite Element Procedures for Solids and Structures with MATLAB®

    From Elasticity to Plasticity
    • 1st Edition
    • September 22, 2023
    • Salar Farahmand-Tabar + 1 more
    • English
    Practical Programming of Finite Element Procedures for Solids and Structures with MATLAB®: From Elasticity to Plasticity provides readers with step-by-step programming processes and applications of the finite element method (FEM) in MATLAB®, as well as the underlying theory. The hands-on approach covers a number of structural problems such as linear analysis of solids and structural elements, as well as nonlinear subjects, including elastoplasticity and hyperelasticity. Each chapter begins with foundational topics to provide a solid understanding of the subject and then progresses to more complicated problems with supporting examples for constructing the appropriate program.The book focuses on topics commonly encountered in civil, mechanical, and aerospace engineering, with special situations in structural analysis, 2D and 3D solids with various mesh elements, surface and body loading, incremental solution process, elastoplasticity, and finite deformation hyperelastic analysis each covered. Code that can be implemented and further extended is also provided.

  • Computational Methods for Nonlinear Dynamical Systems

    Theory and Applications in Aerospace Engineering
    • 1st Edition
    • September 28, 2022
    • Xuechuan Wang + 4 more
    • English
    Computational Methods for Nonlinear Dynamical Systems: Theory and Applications in Aerospace Engineering proposes novel ideas and develops highly-efficient and accurate methods for solving nonlinear dynamic systems, drawing inspiration from the weighted residual method and the asymptotic method. Proposed methods can be used both for real-time simulation and the analysis of nonlinear dynamics in aerospace engineering. The book introduces global estimation methods and local computational methods for nonlinear dynamic systems. Starting from the classic asymptotic, finite difference and weighted residual methods, typical methods for solving nonlinear dynamic systems are considered. In addition, new high-performance methods are proposed, such as time-domain collocation and local variational iteration. The book summarizes and develops computational methods for strongly nonlinear dynamic systems and considers the practical application of the methods within aerospace engineering.

  • Finite Element Method

    Physics and Solution Methods
    • 1st Edition
    • July 14, 2022
    • Sinan Muftu
    • English
    Finite Element Method: Physics and Solution Methods aims to provide the reader a sound understanding of the physical systems and solution methods to enable effective use of the finite element method. This book focuses on one- and two-dimensional elasticity and heat transfer problems with detailed derivations of the governing equations. The connections between the classical variational techniques and the finite element method are carefully explained. Following the chapter addressing the classical variational methods, the finite element method is developed as a natural outcome of these methods where the governing partial differential equation is defined over a subsegment (element) of the solution domain. As well as being a guide to thorough and effective use of the finite element method, this book also functions as a reference on theory of elasticity, heat transfer, and mechanics of beams.

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