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Introduction to Calculus and Analysis: Volume I

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Introduction to Calculus and Analysis: Volume I

Introduction to Calculus and Analysis: Volume I by Richard Courant , Fritz John
English | PDF | 1989 | 682 Pages | ISBN : N/A | 50.3 MB

From the Preface: (…) The book is addressed to students on various levels, to mathematicians, scientists, engineers. It does not pretend to make the subject easy by glossing over difficulties, but rather tries to help the genuinely interested reader by throwing light on the interconnections and purposes of the whole. Instead of obstructing the access to the wealth of facts by lengthy discussions of a fundamental nature we have sometimes postponed such discussions to appendices in the various chapters. Numerous examples and problems are given at the end of various chapters. Some are challenging, some are even difficult; most of them supplement the material in the text. In an additional pamphlet more problems and exercises of a routine character will be collected, and moreover, answers or hints for the solutions will be given. This first volume of concerned primarily with functions of a single variable, whereas the second volume will discuss the more ramified theories of calculus (…).

Numerical Solutions Applied to Heat Transfer with the SPH Method: A Verification of Approximations for Speed and Accuracy

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Numerical Solutions Applied to Heat Transfer with the SPH Method: A Verification of Approximations for Speed and Accuracy

Numerical Solutions Applied to Heat Transfer with the SPH Method: A Verification of Approximations for Speed and Accuracy by Luciano Pereira da Silva , Messias Meneguette Junior , Carlos Henrique Marchi
English | PDF EPUB (True) | 2023 | 139 Pages | ISBN : 3031289455 | 24 MB

This book offers an in-depth verification of numerical solutions for differential equations modeling heat transfer phenomena, where the smoothed particle hydrodynamics (SPH) method is used to discretize the mathematical models. Techniques described in this book aim to speed up the convergence of numerical solutions and increase their accuracy by significantly reducing the discretization error.

Spectral Element Method in Structural Dynamics

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Spectral Element Method in Structural Dynamics

Spectral Element Method in Structural Dynamics by Usik Lee
English | PDF | 2009 | 455 Pages | ISBN : 0470823747 | 6.6 MB

Spectral Element Method in Structural Dynamics is a concise and timely introduction to the spectral element method (SEM) as a means of solving problems in structural dynamics, wave propagations, and other related fields. The book consists of three key sections. In the first part, background knowledge is set up for the readers by reviewing previous work in the area and by providing the fundamentals for the spectral analysis of signals.

Finite Volume Methods for the Incompressible Navier–Stokes Equations

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Finite Volume Methods for the Incompressible Navier–Stokes Equations

Finite Volume Methods for the Incompressible Navier–Stokes Equations by Jian Li
English | EPUB | 2022 | 129 Pages | ISBN : 3030946355 | 10.4 MB

The book aims to provide a comprehensive understanding of the most recent developments in finite volume methods. Its focus is on the development and analysis of these methods for the two- and three-dimensional Navier-Stokes equations, supported by extensive numerical results. It covers the most used lower-order finite element pairs, with well-posedness and optimal analysis for these finite volume methods.

Finite Volume Methods for the Incompressible Navier–Stokes Equations

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Finite Volume Methods for the Incompressible Navier–Stokes Equations

Finite Volume Methods for the Incompressible Navier–Stokes Equations by Jian Li
English | PDF | 2022 | 129 Pages | ISBN : 3030946355 | 2.5 MB

The book aims to provide a comprehensive understanding of the most recent developments in finite volume methods. Its focus is on the development and analysis of these methods for the two- and three-dimensional Navier-Stokes equations, supported by extensive numerical results. It covers the most used lower-order finite element pairs, with well-posedness and optimal analysis for these finite volume methods.

Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells

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Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells

Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells: Applications of the Bubnov-Galerkin and Finite Difference Numerical Methods by Jan Awrejcewicz
English | PDF | 2003 | 432 Pages | ISBN : 3540438807 | 34.9 MB

This monograph, addressing researchers as well as engineers, is devoted to nonclassical thermoelastic modelling of the nonlinear dynamics of shells. Differential equations of different dimensionality and different type have to be combined and nonlinearities of different geometrical, physical or elasto-plastic categories are addressed. Special emphasis is given to the Bubnov–Galerkin method.

Numerical Solution of Partial Differential Equations on Parallel Computers (Repost)

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Numerical Solution of Partial Differential Equations on Parallel Computers (Repost)

Numerical Solution of Partial Differential Equations on Parallel Computers by Are Magnus Bruaset
English | PDF | 2006 | 491 Pages | ISBN : 3540290761 | 7.2 MB

Since the dawn of computing, the quest for a better understanding of Nature has been a driving force for technological development. Groundbreaking achievements by great scientists have paved the way from the abacus to the supercomputing power of today. When trying to replicate Nature in the computer’s silicon test tube, there is need for precise and computable process descriptions. The scienti?c ?elds of Ma- ematics and Physics provide a powerful vehicle for such descriptions in terms of Partial Differential Equations (PDEs).

Geometric Science of Information

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Geometric Science of Information

Geometric Science of Information: 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings by Frank Nielsen
English | PDF | 2021 | 925 Pages | ISBN : 3030802086 | 49.1 MB

This book constitutes the proceedings of the 5th International Conference on Geometric Science of Information, GSI 2021, held in Paris, France, in July 2021.

Abstract Convexity and Global Optimization

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Abstract Convexity and Global Optimization

Abstract Convexity and Global Optimization by Alexander Rubinov
English | PDF | 2000 | 506 Pages | ISBN : 079236323X | 38.1 MB

Special tools are required for examining and solving optimization problems. The main tools in the study of local optimization are classical calculus and its modern generalizions which form nonsmooth analysis. The gradient and various kinds of generalized derivatives allow us to ac­ complish a local approximation of a given function in a neighbourhood of a given point. This kind of approximation is very useful in the study of local extrema.

Statistical Data Modeling and Machine Learning with Applications

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Statistical Data Modeling and Machine Learning with Applications

Statistical Data Modeling and Machine Learning with Applications by Snezhana Gocheva-Ilieva
English | PDF | 2021 | 186 Pages | ISBN : 3036526927 | 11.5 MB

The modeling and processing of empirical data is one of the main subjects and goals of statistics. Nowadays, with the development of computer science, the extraction of useful and often hidden information and patterns from data sets of different volumes and complex data sets in warehouses has been added to these goals. New and powerful statistical techniques with machine learning (ML) and data mining paradigms have been developed.

Computational Methods in Systems Biology

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Computational Methods in Systems Biology

Computational Methods in Systems Biology: 19th International Conference, CMSB 2021, Bordeaux, France, September 22–24, 2021, Proceedings by Eugenio Cinquemani
English | PDF | 2021 | 292 Pages | ISBN : 3030856321 | 17.3 MB

This book constitutes the refereed proceedings of the 19th International Conference on Computational Methods in Systems Biology, CMSB 2021, held in Bordeaux, France, September 22–24, 2021.*

Computational Science - ICCS 2021

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Computational Science - ICCS 2021

Computational Science - ICCS 2021: 21st International Conference, Krakow, Poland, June 16–18, 2021, Proceedings, Part VI by Maciej Paszynski
English | EPUB | 2021 | 722 Pages | ISBN : 3030779793 | 94.7 MB

The six-volume set LNCS 12742, 12743, 12744, 12745, 12746, and 12747 constitutes the proceedings of the 21st International Conference on Computational Science, ICCS 2021, held in Krakow, Poland, in June 2021.*

Computational Science - ICCS 2021

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Computational Science - ICCS 2021

Computational Science - ICCS 2021: 21st International Conference, Krakow, Poland, June 16–18, 2021, Proceedings, Part VI by Maciej Paszynski
English | PDF | 2021 | 722 Pages | ISBN : 3030779793 | 67.2 MB

The six-volume set LNCS 12742, 12743, 12744, 12745, 12746, and 12747 constitutes the proceedings of the 21st International Conference on Computational Science, ICCS 2021, held in Krakow, Poland, in June 2021.*

Information Technologies and Mathematical Modelling. Queueing Theory and Applications

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Information Technologies and Mathematical Modelling. Queueing Theory and Applications

Information Technologies and Mathematical Modelling. Queueing Theory and Applications: 19th International Conference, ITMM 2020, Named after A.F. Terpugov, Tomsk, Russia, December 2-5, 2020, Revised Selected Papers by Alexander Dudin
English | EPUB | 2021 | 441 Pages | ISBN : 3030722465 | 51.5 MB

This book constitutes revised selected papers of the 19th International Conference on Information Technologies and Mathematical Modelling, ITMM 2020, named after A.F. Terpugov, held in Tomsk, Russia, in December 2020.

Information Technologies and Mathematical Modelling. Queueing Theory and Applications

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Information Technologies and Mathematical Modelling. Queueing Theory and Applications

Information Technologies and Mathematical Modelling. Queueing Theory and Applications: 19th International Conference, ITMM 2020, Named after A.F. Terpugov, Tomsk, Russia, December 2-5, 2020, Revised Selected Papers by Alexander Dudin
English | PDF | 2021 | 441 Pages | ISBN : 3030722465 | 29.2 MB

This book constitutes revised selected papers of the 19th International Conference on Information Technologies and Mathematical Modelling, ITMM 2020, named after A.F. Terpugov, held in Tomsk, Russia, in December 2020.