39 Best Books on Computational Methods

We have compiled a list of the Best Reference Books on Computational Methods, which are used by students of top universities, and colleges. This will help you choose the right book depending on if you are a beginner or an expert. Here is the complete list of Computational Methods Books with their authors, publishers, and an unbiased review of them as well as links to the Amazon website to directly purchase them. If permissible, you can also download the free PDF books on Computational Methods below.

  • Computational Methods
  • Advance Computational Methods and Optimization
  • Computational Methods in Process Engineering
  • Computational Methods in Physics
  • Computational Methods in Engineering
  • Computational Methods in Chemical Engineering
  • 1. Computational Methods

     
    1."Numerical Methods for Engineers" by Steven C Chapra and Raymond P Canale
    “Numerical Methods for Engineers” Book Review: The book is designed for undergraduate and postgraduate engineering students, as well as mathematics students, covering a semester-long course on numerical methods. It covers a range of topics such as numerical modeling, equation solving, numerical differentiation and integration, and ordinary differential equations. The book also includes linear algebraic equations, curve fitting, and other relevant topics, with numerous practice problems provided for students. Its focus on real-world applications helps students to develop their understanding and ability to apply the topics covered.

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    2."Introduction to Numerical Methods and Fortran Programming" by T R McCalla
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    3."Computational Methods for Physics" by Joel Franklin
    “Computational Methods for Physics” Book Review: The target audience of this book is undergraduate students studying physics, and it is tailored to provide them with clear numerical methods for tackling physical problems that cannot be resolved entirely through traditional mathematical approaches. The book focuses on the practical application and reasoning behind these techniques and also incorporates a review of problems utilizing different numerical methods. Additionally, the book facilitates the comparison of various methods and comprises 250 exercises at the end of each chapter.

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    4."An Introduction to Computational Fluid Dynamics: The Finite Volume Method" by H Versteeg
    “An Introduction to Computational Fluid Dynamics: The Finite Volume Method” Book Review: The intended readership of this book is students studying computational fluid dynamics (CFD), and it encompasses the most up-to-date techniques and methodologies. The book contains detailed explanations of advanced topics and practical exercises. It covers fundamental concepts of computational fluid mechanics suitable for beginners and provides a comprehensive yet accessible introduction to governing equations. Additionally, the book elaborates on boundary conditions of viscous fluid flows, turbulence, and design. Lastly, it includes an overview of the finite volume method used to solve flow problems on computers.

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    5."Computational Methods In Engineering" by Prof S P Venkateshan and Prasanna Swaminathan
    “Computational Methods In Engineering” Book Review: This book is a comprehensive guide for students and professionals in the field of engineering. The book covers topics such as numerical methods, matrix algebra, optimization, finite element analysis, and computational fluid dynamics. It also includes chapters on heat transfer, acoustics, and electromagnetics. With its clear explanations, numerous examples, and practical exercises, this book is an invaluable resource for anyone looking to enhance their computational skills in engineering.

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    6."Computational Methods for Fluid Dynamics" by Joel H Ferziger
    “Computational Methods for Fluid Dynamics” Book Review: The focus of this book is on the methods used to solve numerical problems in fluid mechanics using computers. It provides a detailed overview of the most commonly used methods and also covers advanced techniques in computational fluid dynamics, such as direct and large-eddy simulation of turbulence. The book delves into topics such as grid quality and discretization methods in great detail. It also explores the common roots and fundamental principles that underlie seemingly different methods. For code developers and users, the book offers a wealth of practical suggestions to enhance their understanding and application of the methods.

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    7."Numerical Computational Methods" by P B Patil
    “Numerical Computational Methods” Book Review: This book presents numerical methods and demonstrates their algorithms, accompanied by computer programs in Visual Basic, FORTRAN, and C++. It covers numerical methods in Visual Basic and provides clear explanations of the fundamental derivations of formulae that are converted into programs. The book also includes descriptions of the program algorithm, presenting each step of the algorithm in a way that can be easily converted into a computer program statement. The book provides a set of problems along with their answers.

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    8."Computational Methods for Reinforced Concrete Structures" by Ulrich Häußler–Combe
    “Computational Methods for Reinforced Concrete Structures” Book Review: This book is an informative guide for students, researchers, and professionals involved in the analysis and design of reinforced concrete structures. The book covers topics such as numerical methods, finite element analysis, material models, and the behavior of reinforced concrete under load. It also includes chapters on detailing of reinforcement, shear and torsion, and seismic analysis. With its practical examples and detailed explanations, this book is a valuable resource for anyone seeking to enhance their computational skills in reinforced concrete structures.

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    9."Computational Methods for Electric Power Systems, Second Edition (Electric Power Engineering Series)" by Mariesa L Crow
    “Computational Methods for Electric Power Systems, Second Edition (Electric Power Engineering Series)” Book Review: This book describes the old and new computational methods. It provides a comprehensive overview of both old and new computational methods. The book covers all spectral methods, including basic functions, orthogonal polynomials, matrix equations, and finite difference methods. Each method is described in detail, supported by numerous examples to enhance understanding.

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    10."A Practical Guide to Spectral Computational Methods" by George Rawitscher and Victo dos Santos Filho
    “A Practical Guide to Spectral Computational Methods” Book Review: This book describes the old and new computational methods. All the spectral methods are discussed on the topics of basic functions, orthogonal polynomials, matrix equations, finite difference methods. All the methods are described in a detailed manner with supporting examples. This book is suitable for advanced physics and chemistry students.

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    11."Advances in Smart Technologies in Structural Engineering (Computational Methods in Applied Sciences)" by C A Mota Soares and Jan Holnicki-Szulc
    “Advances in Smart Technologies in Structural Engineering (Computational Methods in Applied Sciences)” Book Review: This book is a comprehensive guide for researchers, engineers, and students in the field of structural engineering. The book covers topics such as smart materials, sensors, and structural health monitoring, as well as the application of artificial intelligence and machine learning in structural engineering. It includes chapters on structural optimization, modeling, and simulation. With its innovative ideas and practical applications, this book is a must-read for anyone interested in the latest advances in smart technologies in structural engineering.

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    2. Advance Computational Methods and Optimization

     
    1."Analytical and Computational Methods of Advanced Engineering Mathematics (Texts in Applied Mathematics)" by Grant B Gustafson and Calvin H Wilcox
    “Analytical and Computational Methods of Advanced Engineering Mathematics (Texts in Applied Mathematics)” Book Review: This book is designed for graduate and Ph.D. students and researchers in Computer Science and Applied Mathematics. It offers a wide range of tools for designing mechanical systems. It covers the kinematic and dynamic analysis of both rigid and flexible multibody systems, along with advanced optimization techniques. The book provides an ideal framework to combine various disciplines, as demonstrated by the multidisciplinary applications in biomechanics that use multibody dynamics to describe the motion of biological entities and finite elements.

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    2."Advanced Computational Methods for Knowledge Engineering: Proceedings of the 2nd International Conference on Computer Science, Applied Mathematics and ... in Intelligent Systems and Computing)" by Tien Van Do and Hoai An Le Thi
    “Advanced Computational Methods for Knowledge Engineering: Proceedings of the 2nd International Conference on Computer Science, Applied Mathematics and … in Intelligent Systems and Computing)” Book Review: This book is designed for graduate and Ph.D. students and researchers in Computer Science and Applied Mathematics. It covers a range of topics including Advanced Optimization Methods and Their Applications, Queueing Models and Performance Evaluation, Software Development and Testing, Computational Methods for Mobile and Wireless Networks, Computational Methods for Knowledge Engineering, Logic Based Methods for Decision Making, and Data Mining and Nonlinear Systems and Applications.

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    3."Advanced Methods for Satellite and Deep Space Communications" by Joachim Hagenauer
    “Advanced Methods for Satellite and Deep Space Communications” Book Review: This book is designed for graduate and Ph.D. students and researchers in Computer Science and Applied Mathematics. It offers an overview of the state-of-the-art in space communication systems. It covers the application of space research, with a focus on satellite communication which has directly affected many people. The book describes advanced features in the field and provides an outlook on the next steps in communication systems. Special emphasis is given to digital modulation and coding, where advancements in technology allow for the implementation of sophisticated methods that push the limits of theory. The book includes both survey articles and advanced research topics.

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    4."Advanced Multiresponse Process Optimisation" by Tatjana V Sibalija and Vidosav D Majstorović
    “Advanced Multiresponse Process Optimisation” Book Review: This book is designed for graduate and Ph.D. students as well as researchers in Computer Science and Applied Mathematics. It introduces an integrated approach to multiresponse process optimization that is independent of the problem at hand. The approach accommodates various aspects of the process such as the type, number, and interdependence of process parameters and responses. The book also covers the experimental design of processes with multiple correlated responses using three modules: an expert system for selecting the experimental plan based on orthogonal arrays, the factor effects approach, and implementation of the approach using case studies from advanced, non-conventional processes in high-tech industries.

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    5."Advanced Design of Mechanical Systems: From Analysis to Optimization (CISM International Centre for Mechanical Sciences)" by Jorge A C Ambrosio and Peter Eberhard
    “Advanced Design of Mechanical Systems: From Analysis to Optimization (CISM International Centre for Mechanical Sciences)” Book Review: This book is a comprehensive guide for engineers and researchers in the field of mechanical systems. The book covers topics such as advanced analysis techniques, optimization methods, and the application of machine learning in mechanical design. It also includes chapters on material modeling, dynamic response analysis, and reliability-based design. With its practical examples and detailed explanations, this book is an essential resource for anyone seeking to enhance their design skills in mechanical systems.

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    6."Multimedia Services in Intelligent Environments: Advanced Tools and Methodologies (Studies in Computational Intelligence)" by George A Tsihrintzis
    “Multimedia Services in Intelligent Environments: Advanced Tools and Methodologies (Studies in Computational Intelligence)” Book Review: This book is designed for professors, researchers and students of all disciplines, such as computer science, engineering and management. It covers processing, transmission and retrieval of multiple forms of information. It includes topics like artificial neural networks, swarm intelligence, artificial immune systems, evolutionary computing and multi agents with multimedia services. Specifically, artificial neural networks are utilized for learning in multimedia-based systems by interconnecting neurons using various schemes. The book comprises 15 chapters that explore advanced tools and methodologies related to multimedia services.

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    7."Computer Methods in Mechanics: Lectures of the CMM 2009 (Advanced Structured Materials)" by Mieczyslaw Kuczma and Krzysztof Wilmanski
    “Computer Methods in Mechanics: Lectures of the CMM 2009 (Advanced Structured Materials)” Book Review: The target audience for this book consists of graduate and Ph.D. students as well as researchers in Computer Science and Applied Mathematics. The book covers a wide range of topics such as Advanced Optimization Methods and Their Applications, Queueing Models and Performance Evaluation, Software Development and Testing, Computational Methods for Mobile and Wireless Networks, and Computational Methods for Knowledge Engineering. Furthermore, it delves into Logic-Based Methods for Decision Making, Data Mining, Nonlinear Systems, and Applications in subsequent sections.

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    8."Engineering and Applied Sciences Optimization (Computational Methods in Applied Sciences)" by Nikos D. Lagaros and Manolis Papadrakakis
    “Engineering and Applied Sciences Optimization (Computational Methods in Applied Sciences)” Book Review: This book is designed for students, researchers, and professors from various disciplines, including computer science, engineering, and management. It covers a wide range of topics, including structural optimization, logistics, transportation, traffic and telecommunication networks, operational research, metaheuristics, multidisciplinary and multiphysics design optimization, and more. It includes sections on Logic Based Methods for Decision Making, Data Mining, and Nonlinear Systems and Applications.

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    9."Modeling, Simulation and Optimization for Science and Technology (Computational Methods in Applied Sciences)" by Pekka Neittaanmäki and Olivier Pironneau
    “Modeling, Simulation and Optimization for Science and Technology (Computational Methods in Applied Sciences)” Book Review: This book targets advanced students, researchers, and practitioners in computational and applied mathematics or mechanics. It comprises thirteen articles showcasing advances in applied mathematics and computing methods for engineering problems. The book encompasses six papers on optimization methods and algorithms, particularly for problems with multiple criteria. It also includes four articles on numerical methods for applied problems modeled with nonlinear PDEs. In addition, it highlights two contributions on abstract estimates for error analysis and one paper on rare events within the context of uncertainty quantification. Applications of these techniques span aerospace, glaciology, and nonlinear elasticity.

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    10."Mathematical Modeling and Optimization of Complex Structures (Computational Methods in Applied Sciences)" by Pekka Neittaanmäki and Sergey Repin
    “Mathematical Modeling and Optimization of Complex Structures (Computational Methods in Applied Sciences)” Book Review: This book is designed for advanced students, researchers, and practitioners in the fields of computational and applied mathematics or mechanics. The book covers a variety of topics, including computer simulation methods in mechanics, physics, and biology, variational problems and methods, minimization algorithms, optimal control problems with distributed and discrete control, shape optimization and shape design problems in science and engineering, and sensitivity analysis and parameter optimization of complex systems.

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    3. Computational Methods in Process Engineering

     
    1."Numerical Heat Transfer and Fluid Flow (Hemisphere Series on Computational Methods in Mechanics and Thermal Science)" by Suhas Patankar
    “Numerical Heat Transfer and Fluid Flow (Hemisphere Series on Computational Methods in Mechanics and Thermal Science)” Book Review: This book covers the subjects of numerical methods for heat transfer and fluid flow, including fluid dynamics, chemical reactions, and heat and mass transfer in engineering equipment. Various numerical techniques are presented for predicting these processes. Basic algebra and elementary calculus are explained to aid in the understanding of the numerical methods. This book serves as a reference for students studying mechanical engineering and thermal science.

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    2."The Finite Element Method: Basic Concepts and Applications" by Darrell W Pepper and Juan C Heinrich
    “The Finite Element Method: Basic Concepts and Applications” Book Review: This book presents an introduction to finite element methods and their applications. It covers the method of weighted residuals, Galerkin approximation, and the use of 1D and 2D triangular and quadrilateral elements. Other topics include isoperimetric 2D elements and 3D elements. The book also contains exercises with worked-out solutions to aid in student practice. Diagrams and figures are provided throughout the book to facilitate the explanation of concepts. This book is intended for students studying advanced level physics who are interested in gaining a fundamental understanding of finite element methods.

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    3."Computational Fluid Mechanics and Heat Transfer" by Richard H Pletcher and John C Tannehill
    “Computational Fluid Mechanics and Heat Transfer” Book Review: This book presents topics related to heat transfer and computational fluid mechanics. It covers partial differential equations, fundamental discretization methods, and the application of numerical methods to selected model equations. Furthermore, it includes chapters on the application of numerical methods to fluid mechanics and heat transfer equations, Euler’s equations, boundary layer equations, and numerical methods for inviscid flow equations. At the end of each chapter, problems with solutions are provided for practice. The equations and examples are clearly labeled and explained in detail. This book is highly recommended for students studying mechanical engineering and physics.

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    4."Theoretical Molecular Biophysics (Biological and Medical Physics, Biomedical Engineering)" by Philipp O J Scherer and Sighart F Fischer
    “Theoretical Molecular Biophysics (Biological and Medical Physics, Biomedical Engineering)” Book Review: This book provides an overview of the fundamental tools for comprehending the biological processes. It discusses the principles of entropic forces, biophysics, and phase separation, as well as electron transfer, proton transfer, and potentials of mean force. All concepts and equations are thoroughly explained. This book is particularly helpful for students of medical physics and biomedical engineering.

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    5."Introducing Monte Carlo Methods with R" by George Casella and Christian Robert
    “Introducing Monte Carlo Methods with R” Book Review: This book discusses the implementation of Monte Carlo methods using the R programming language. It covers various topics, including basic R programming, generating random variables, Monte Carlo integration, and techniques for controlling and accelerating convergence. The book also delves into Monte Carlo optimization, Metropolis-Hastings algorithms, Gibbs samplers, and monitoring and adaptation of MCMC algorithms. Programming exercises and problems are included at the end of each chapter for students to practice, and a glossary of terms and references is provided at the end of the book. Throughout the book, numerous examples and illustrations are presented. This book is recommended for students studying statistics and computer engineering.

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    6."Computational Fluid Dynamics With Moving Boundaries (Series in Computational Methods and Physical Processes in Mechanics and Thermal Sciences)" by Wei Shyy
    “Computational Fluid Dynamics With Moving Boundaries (Series in Computational Methods and Physical Processes in Mechanics and Thermal Sciences)” Book Review: This book presents the latest advancements in the field of computational fluid dynamics involving moving boundaries. It discusses various computational techniques, including thermo-fluid physics, multiphase flow, and applied mechanics, that deal with moving flow boundaries. The book also provides applications of several techniques along with numerical solutions to moving boundary problems. All topics and methods are thoroughly described with appropriate examples. This book is highly beneficial for students studying mechanical engineering and thermodynamics.

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    7."An Introduction to Neural Network Methods for Differential Equations (SpringerBriefs in Applied Sciences and Technology)" by Manoj Kumar and Anupam Yadav
    “An Introduction to Neural Network Methods for Differential Equations (SpringerBriefs in Applied Sciences and Technology)” Book Review: This book covers various neural network methods used to solve differential equations. Network techniques are explained in a heuristical and intuitive manner to aid in understanding. Step-by-step instructions on implementing the methods are provided, and recent developments and applications in solving differential equations using neural networks are discussed. This book is useful for students in computer science and engineering.

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    8."The Fokker-Planck Equation: Methods of Solution and Applications (Springer Series in Synergetics)" by Hannes Risken and Till Frank
    “The Fokker-Planck Equation: Methods of Solution and Applications (Springer Series in Synergetics)” Book Review: This book covers the solutions and applications of the Fokker-Planck equation. It includes various methods such as the simulation method, Eigen-function expansion, numerical integration, and variational methods. Each method is thoroughly explained with relevant equations and figures. This book is recommended for graduate students studying chemical physics and electrical engineering.

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    9."Computational Methods in Systems Biology" by Corrado Priami
    “Computational Methods in Systems Biology” Book Review: This book examines the computational techniques utilized in systems biology. It features chapters on modal logics for brane calculus, behavioral property determination in brane calculi, and type interfaces in systems biology. Additionally, it includes topics such as a formal approach to molecular docking, regulatory network reconstruction using stochastic logical networks, and a computational model of a central pattern generator. Numerous researchers and scientists have contributed to the writing of chapters in this book. To facilitate comprehension of the material, data tables, labeled figures, and equations are described in detail. This book is ideal for advanced students in medical and molecular biology.

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    10."Stability and Synchronization Control of Stochastic Neural Networks (Studies in Systems, Decision and Control)" by Wuneng Zhou and Liuwei Zhou
    “Stability and Synchronization Control of Stochastic Neural Networks (Studies in Systems, Decision and Control)” Book Review: This book presents the latest advancements in the study of stochastic neural networks, covering their fundamental principles, algorithms, methods, and applications. It includes topics such as the novel model of disturbance driven by Lewy processes, research methods using M matrix, and adaptive control methods of SNN. The book is particularly useful for advanced students in physics.

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    4. Computational Methods in Physics

     
    1."Computational Methods In Physics And Engineering" by Samuel S M Wong
    “Computational Methods In Physics And Engineering” Book Review: This book provides practical guidance on utilizing desktop computing power. Real-life examples and computer programs accompany each method. Additionally, unconventional techniques are explained in detail.

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    2."Computational Physics: Simulation of Classical and Quantum Systems (Graduate Texts in Physics)" by Philipp Scherer
    “Computational Physics: Simulation of Classical and Quantum Systems (Graduate Texts in Physics )” Book Review: This well-organized book provides mathematical explanations of significant algorithms applied in computational physics, divided into two parts. The first part focuses on numerical methods, while the second part covers the simulation of classical and quantum systems. Topics include Euler and Runge-Kutta methods, multi-step methods, and the class of Verlet methods.

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    5. Computational Methods in Engineering

     
    1."Computer Methods for Engineering with MATLAB(R) Applications" by Jaluria Yogesh Jaluria
    “Computer Methods for Engineering with MATLAB(R) Applications” Book Review: This book offers an in-depth coverage of computer methods applied in engineering. It presents equations describing various engineering processes and systems, and critically evaluates the accuracy of numerical results obtained for different engineering problems. MATLAB is used throughout the book, and numerous examples are provided along with MATLAB commands and programs to solve the exercises. The book encourages students to develop their own computer programs for solving specific problems, and also explains how a computational approach can provide physical insights. A wide range of solved and unsolved examples are included.

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    2."Computational Methods in Chemical Engineering with Maple Applications" by Ralph E White and Venkat R Subramanian
    “Computational Methods in Chemical Engineering with Maple Applications” Book Review: This book presents practical computational methods in chemical engineering in a clear and concise manner. It serves as a bridge between introductory and advanced levels of mathematics. The book covers a wide range of convergence acceleration techniques, including Shanks transformation for series and Pade approximation for series. It addresses linear and nonlinear systems of algebraic equations and highlights the systematic use of global Richardson extrapolation for integrals and ODE systems to monitor overall errors. The book also explains the use of computational methods for solving various problems in IBM format.

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    3."Computational Methods for Screening and Engineering Enzyme Properties" by Knapic Lorena
    “Computational Methods for Screening and Engineering Enzyme Properties” Book Review: This book discusses computational methods for screening and engineering enzyme properties, emphasizing the benefits of bio catalysis over classical chemical catalysis for sustainable development and green chemistry. With computational techniques, it is possible to understand enzyme properties at an atomic level, which is a major advantage. The book presents state-of-the-art methodologies for dealing with enzyme reaction and substrate promiscuity phenomena. It also highlights the challenges associated with industrial applications of enzymes and emphasizes the importance of a collaborative effort involving computational chemists and biologists to overcome these challenges.

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    6. Computational Methods in Chemical Engineering

     
    1."Computational Methods in Chemical Engineering with Maple" by Ralph E White
    “Computational Methods in Chemical Engineering with Maple” Book Review: This book is designed for chemical and other engineers who are new to the subject of mathematical modeling. It contains 10 chapters that cover various topics. The book begins with an introduction to the subject before moving on to problems related to initial and boundary values. The middle sections of the book deal with concepts related to algebraic, ordinary, and partial differential equations. The final section of the book covers miscellaneous topics. Maple’s ‘dsolve’ feature is used extensively to arrive at solutions for many of the examples provided.

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    2."Computational Methods for Process Simulation" by W Fred Ramirez
    “Computational Methods for Process Simulation” Book Review: The book focuses on the concepts of modeling and computational methods necessary for real-world processes, covering physical, chemical, and biochemical processes. It presents engineering fundamentals necessary for developing models in a clear manner. The book explains steady state and dynamic approaches for spatially lumped and spatially distributed problems. It also lists various numerical techniques employed for solving algebraic, ordinary, and partial differential equations, with special emphasis on FORTRAN numerical routines in the IMSL library.

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    3."Spatial Statistics and Computational Methods (Lecture Notes in Statistics)" by Jesper Møller
    “Spatial Statistics and Computational Methods (Lecture Notes in Statistics)” Book Review: The book covers current topics in spatial and computational statistics, making it a valuable resource for both postgraduate students and experienced statistical researchers. The book demonstrates how advanced methods in spatial statistics and computational techniques can be used to solve a variety of problems that are becoming increasingly important in science and technology.

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    We have put a lot of effort into researching the best books on Computational Methods and came out with a recommended list and their reviews. If any more book needs to be added to this list, please email us. We are working on free pdf downloads for books on Computational Methods and will publish the download link here. Fill out this Computational Methods books pdf download" request form for download notification.

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