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Books > Science & Mathematics > Mathematics > Numerical analysis

A First Course in the Finite Element Method, SI Edition (Paperback, 6th edition): Daryl Logan A First Course in the Finite Element Method, SI Edition (Paperback, 6th edition)
Daryl Logan
R1,325 R1,236 Discovery Miles 12 360 Save R89 (7%) Ships in 10 - 15 working days

Discover a simple, direct approach that highlights the basics you need within A FIRST COURSE IN THE FINITE ELEMENT METHOD, 6E. This unique book is written so both undergraduate and graduate students can easily comprehend the content without the usual prerequisites, such as structural analysis. The book is written primarily as a basic learning tool for students, like you, in civil and mechanical engineering who are primarily interested in stress analysis and heat transfer. The text offers ideal preparation for utilizing the finite element method as a tool to solve practical physical problems.

Numerical Analysis (Hardcover, 10th edition): Annette M Burden, Richard Burden, Annette Burden, J. Faires Numerical Analysis (Hardcover, 10th edition)
Annette M Burden, Richard Burden, Annette Burden, J. Faires
R1,323 R1,238 Discovery Miles 12 380 Save R85 (6%) Ships in 10 - 15 working days

This well-respected book introduces readers to the theory and application of modern numerical approximation techniques. Providing an accessible treatment that only requires a calculus prerequisite, the authors explain how, why, and when approximation techniques can be expected to work-and why, in some situations, they fail. A wealth of examples and exercises develop readers' intuition, and demonstrate the subject's practical applications to important everyday problems in math, computing, engineering, and physical science disciplines. Three decades after it was first published, Burden, Faires, and Burden's NUMERICAL ANALYSIS remains the definitive introduction to a vital and practical subject.

Best Books gegradeerde leesreeks: Vlak 1 Boek 2: Gr 2: Leesboek - Huistaal (Afrikaans, Paperback): Best Books Best Books gegradeerde leesreeks: Vlak 1 Boek 2: Gr 2: Leesboek - Huistaal (Afrikaans, Paperback)
Best Books
R90 R85 Discovery Miles 850 Save R5 (6%) Ships in 4 - 8 working days
Variational Methods for Numerical Solution of Nonlinear Elliptic Problems (Paperback): Roland Glowinski Variational Methods for Numerical Solution of Nonlinear Elliptic Problems (Paperback)
Roland Glowinski
R2,318 Discovery Miles 23 180 Ships in 12 - 17 working days

Addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems. These methods can be applied to many problems in science and engineering, but this book focuses on their application to problems in continuum mechanics and physics. This book differs from others on the topic by:* Presenting examples of the power and versatility of operator-splitting methods.* Providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly non-smooth) problems from science and engineering.* Showing that nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems.

Nonlinear Functional Analysis and Applications (Hardcover): Jesus Garcia-Falset, Khalid Latrach Nonlinear Functional Analysis and Applications (Hardcover)
Jesus Garcia-Falset, Khalid Latrach
R5,094 Discovery Miles 50 940 Ships in 12 - 17 working days

This work is devoted to fixed point theory as well as the theory of accretive operators in Banach spaces. The goal is to develop, in self-contained way, the main results in both theories. Special emphasis is given to the study how both theories can be used to study the existence and uniqueness of solution of several types of partial differential equations and integral equations.

Toward a General Theory of Organizing - Volume 1: Introducing the Network Field Model (Hardcover): Steef Peters, Karen... Toward a General Theory of Organizing - Volume 1: Introducing the Network Field Model (Hardcover)
Steef Peters, Karen Stephenson
R2,353 Discovery Miles 23 530 Ships in 10 - 15 working days
Numerical Simulation of Incompressible Viscous Flow - Methods and Applications (Hardcover): Roland Glowinski, Tsorng-Whay Pan Numerical Simulation of Incompressible Viscous Flow - Methods and Applications (Hardcover)
Roland Glowinski, Tsorng-Whay Pan
R4,763 Discovery Miles 47 630 Ships in 12 - 17 working days

This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid. Efficient and robust numerical methods for solving those resulting simpler sub-problems are introduced and discussed. Interesting computational results are presented to show the capability of methodologies addressed in the book.

Topics in Complex Analysis (Hardcover): Joel L Schiff Topics in Complex Analysis (Hardcover)
Joel L Schiff
R4,558 Discovery Miles 45 580 Ships in 12 - 17 working days

Complex analysis is found in many areas of applied mathematics, from fluid mechanics, thermodynamics, signal processing, control theory, mechanical and electrical engineering to quantum mechanics, among others. And of course, it is a fundamental branch of pure mathematics. The coverage in this text includes advanced topics that are not always considered in more elementary texts. These topics include, a detailed treatment of univalent functions, harmonic functions, subharmonic and superharmonic functions, Nevanlinna theory, normal families, hyperbolic geometry, iteration of rational functions, and analytic number theory. As well, the text includes in depth discussions of the Dirichlet Problem, Green's function, Riemann Hypothesis, and the Laplace transform. Some beautiful color illustrations supplement the text of this most elegant subject.

Numerical Analysis - Pearson New International Edition (Paperback, 2nd edition): Timothy Sauer Numerical Analysis - Pearson New International Edition (Paperback, 2nd edition)
Timothy Sauer
R2,496 Discovery Miles 24 960 Ships in 12 - 17 working days

Numerical Analysis, Second Edition, is a modern and readable text for the undergraduate audience. This book covers not only the standard topics but also some more advanced numerical methods being used by computational scientists and engineers-topics such as compression, forward and backward error analysis, and iterative methods of solving equations-all while maintaining a level of discussion appropriate for undergraduates. Each chapter contains a Reality Check, which is an extended exploration of relevant application areas that can launch individual or team projects. MATLAB(r) is used throughout to demonstrate and implement numerical methods. The Second Edition features many noteworthy improvements based on feedback from users, such as new coverage of Cholesky factorization, GMRES methods, and nonlinear PDEs.

Introduction to Functional Equations - Theory and problem-solving strategies for mathematical competitions and beyond... Introduction to Functional Equations - Theory and problem-solving strategies for mathematical competitions and beyond (Paperback)
Costas Efthimiou
R1,498 Discovery Miles 14 980 Ships in 12 - 17 working days

Functions and their properties have been part of the rigorous precollege curriculum for decades. And functional equations have been a favorite topic of the leading national and international mathematical competitions. Yet the subject has not received equal attention by authors at an introductory level. The majority of the books on the topic remain unreachable to the curious and intelligent precollege student. The present book is an attempt to eliminate this disparity. The book opens with a review chapter on functions, which collects the relevant foundational information on functions, plus some material potentially new to the reader. The next chapter presents a working definition of functional equations and explains the difficulties in trying to systematize the theory. With each new chapter, the author presents methods for the solution of a particular group of equations. Each chapter is complemented with many solved examples, the majority of which are taken from mathematical competitions and professional journals. The book ends with a chapter of unsolved problems and some other auxiliary material. The book is an invaluable resource for precollege and college students who want to deepen their knowledge of functions and their properties, for teachers and instructors who wish to enrich their curricula, and for any lover of mathematical problem-solving techniques.

Stochastic Dynamics of Economic Cycles (Hardcover): Viacheslav Karmalita Stochastic Dynamics of Economic Cycles (Hardcover)
Viacheslav Karmalita
R3,596 Discovery Miles 35 960 Ships in 12 - 17 working days

This book includes discussions related to solutions of such tasks as: probabilistic description of the investment function; recovering the income function from GDP estimates; development of models for the economic cycles; selecting the time interval of pseudo-stationarity of cycles; estimating characteristics/parameters of cycle models; analysis of accuracy of model factors. All of the above constitute the general principles of a theory explaining the phenomenon of economic cycles and provide mathematical tools for their quantitative description. The introduced theory is applicable to macroeconomic analyses as well as econometric estimations of economic cycles.

Theory (Hardcover, 2nd corr. and exten. edition): Steven Lord, Fedor Sukochev, Dmitriy Zanin Theory (Hardcover, 2nd corr. and exten. edition)
Steven Lord, Fedor Sukochev, Dmitriy Zanin
R4,227 Discovery Miles 42 270 Ships in 12 - 17 working days

This book is the second edition of the first complete study and monograph dedicated to singular traces. The text offers, due to the contributions of Albrecht Pietsch and Nigel Kalton, a complete theory of traces and their spectral properties on ideals of compact operators on a separable Hilbert space. The second edition has been updated on the fundamental approach provided by Albrecht Pietsch. For mathematical physicists and other users of Connes' noncommutative geometry the text offers a complete reference to traces on weak trace class operators, including Dixmier traces and associated formulas involving residues of spectral zeta functions and asymptotics of partition functions.

Dimensional Analysis & Conversion Factors (Hardcover): Merle a. Barlow Dimensional Analysis & Conversion Factors (Hardcover)
Merle a. Barlow
R697 R619 Discovery Miles 6 190 Save R78 (11%) Ships in 10 - 15 working days
Finite Elements and Fast Iterative Solvers - with Applications in Incompressible Fluid Dynamics (Hardcover, 2nd Revised... Finite Elements and Fast Iterative Solvers - with Applications in Incompressible Fluid Dynamics (Hardcover, 2nd Revised edition)
Howard Elman, David Silvester, Andy Wathen
R4,407 Discovery Miles 44 070 Ships in 12 - 17 working days

This book is a description of why and how to do Scientific Computing for fundamental models of fluid flow. It contains introduction, motivation, analysis, and algorithms and is closely tied to freely available MATLAB codes that implement the methods described. The focus is on finite element approximation methods and fast iterative solution methods for the consequent linear(ized) systems arising in important problems that model incompressible fluid flow. The problems addressed are the Poisson equation, Convection-Diffusion problem, Stokes problem and Navier-Stokes problem, including new material on time-dependent problems and models of multi-physics. The corresponding iterative algebra based on preconditioned Krylov subspace and multigrid techniques is for symmetric and positive definite, nonsymmetric positive definite, symmetric indefinite and nonsymmetric indefinite matrix systems respectively. For each problem and associated solvers there is a description of how to compute together with theoretical analysis that guides the choice of approaches and describes what happens in practice in the many illustrative numerical results throughout the book (computed with the freely downloadable IFISS software). All of the numerical results should be reproducible by readers who have access to MATLAB and there is considerable scope for experimentation in the "computational laboratory " provided by the software. Developments in the field since the first edition was published have been represented in three new chapters covering optimization with PDE constraints (Chapter 5); solution of unsteady Navier-Stokes equations (Chapter 10); solution of models of buoyancy-driven flow (Chapter 11). Each chapter has many theoretical problems and practical computer exercises that involve the use of the IFISS software. This book is suitable as an introduction to iterative linear solvers or more generally as a model of Scientific Computing at an advanced undergraduate or beginning graduate level.

A Software Repository for Gaussian Quadratures and Christoffel Functions (Paperback): Walter Gautschi A Software Repository for Gaussian Quadratures and Christoffel Functions (Paperback)
Walter Gautschi
R1,730 R1,516 Discovery Miles 15 160 Save R214 (12%) Ships in 12 - 17 working days

This companion piece to the author's 2018 book, A Software Repository for Orthogonal Polynomials, focuses on Gaussian quadrature and the related Christoffel function. The book makes Gauss quadrature rules of any order easily accessible for a large variety of weight functions and for arbitrary precision. It also documents and illustrates known as well as original approximations for Gauss quadrature weights and Christoffel functions. The repository contains 60 datasets, each dealing with a particular weight function. Included are classical, quasi-classical, and, most of all, nonclassical weight functions and associated orthogonal polynomials.

Electroencephalography and Magnetoencephalography - An Analytical-Numerical Approach (Hardcover): George Dassios, Athanassios... Electroencephalography and Magnetoencephalography - An Analytical-Numerical Approach (Hardcover)
George Dassios, Athanassios S. Fokas
R4,268 Discovery Miles 42 680 Ships in 12 - 17 working days

Electroencephalography and magnetoencephalography are the two most efficient techniques to study the functional brain. This book completely aswers the fundamental mathematical question of uniqueness of the representations obtained using these techniques, and also covers many other concrete results for special geometric models of the brain, presenting the research of the authors and their groups in the last two decades.

Modern Umbral Calculus - An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory... Modern Umbral Calculus - An Elementary Introduction with Applications to Linear Interpolation and Operator Approximation Theory (Hardcover)
Francesco Aldo Costabile
R3,847 Discovery Miles 38 470 Ships in 12 - 17 working days

This book presents a novel approach to umbral calculus, which uses only elementary linear algebra (matrix calculus) based on the observation that there is an isomorphism between Sheffer polynomials and Riordan matrices, and that Sheffer polynomials can be expressed in terms of determinants. Additionally, applications to linear interpolation and operator approximation theory are presented in many settings related to various families of polynomials.

Numerical Methods (Hardcover): George Em Karniadakis Numerical Methods (Hardcover)
George Em Karniadakis
R4,796 Discovery Miles 47 960 Ships in 12 - 17 working days

This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This third volume collects authoritative chapters covering several numerical aspects of fractional calculus, including time and space fractional derivatives, finite differences and finite elements, and spectral, meshless, and particle methods.

System- and Data-Driven Methods and Algorithms (Hardcover): Peter Benner, et al System- and Data-Driven Methods and Algorithms (Hardcover)
Peter Benner, et al
R5,078 Discovery Miles 50 780 Ships in 12 - 17 working days

An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This two-volume handbook covers methods as well as applications. This first volume focuses on real-time control theory, data assimilation, real-time visualization, high-dimensional state spaces and interaction of different reduction techniques.

Harmonic Analysis On Hypergroups: Approximation And Stochastic Sequences (Hardcover): Rupert Lasser Harmonic Analysis On Hypergroups: Approximation And Stochastic Sequences (Hardcover)
Rupert Lasser
R4,634 Discovery Miles 46 340 Ships in 10 - 15 working days

The book aims at giving a monographic presentation of the abstract harmonic analysis of hypergroups, while combining it with applied topics of spectral analysis, approximation by orthogonal expansions and stochastic sequences. Hypergroups are locally compact Hausdorff spaces equipped with a convolution, an involution and a unit element. Related algebraic structures had already been studied by Frobenius around 1900. Their axiomatic characterisation in harmonic analysis was later developed in the 1970s. Hypergoups naturally emerge in seemingly different application areas as time series analysis, probability theory and theoretical physics.The book presents harmonic analysis on commutative and polynomial hypergroups as well as weakly stationary random fields and sequences thereon. For polynomial hypergroups also difference equations and stationary sequences are considered. At greater extent than in the existing literature, the book compiles a rather comprehensive list of hypergroups, in particular of polynomial hypergroups. With an eye on readers at advanced undergraduate and graduate level, the proofs are generally worked out in careful detail. The bibliography is extensive.

Optimal Structural Design - Contact Problems and High-Speed Penetration (Hardcover): Nikolay V Banichuk, Svetlana Yu Ivanova Optimal Structural Design - Contact Problems and High-Speed Penetration (Hardcover)
Nikolay V Banichuk, Svetlana Yu Ivanova
R3,712 Discovery Miles 37 120 Ships in 12 - 17 working days

This monograph studies optimization problems for rigid punches in elastic media and for high-speed penetration of rigid strikers into deformed elastoplastic, concrete, and composite media using variational calculations, tools from functional analysis, and stochastic and min-max (guaranteed) optimization approaches with incomplete data. The book presents analytical and numerical results developed by the authors during the last ten years.

Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations (Paperback): Tsung-Ming Huang, Ren-Cang Li, Wen-Wei Lin Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations (Paperback)
Tsung-Ming Huang, Ren-Cang Li, Wen-Wei Lin
R1,678 Discovery Miles 16 780 Ships in 12 - 17 working days

Nonlinear matrix equations arise frequently in applied science and engineering. This is the first book to provide a unified treatment of structure-preserving doubling algorithms, which have been recently studied and proven effective for notoriously challenging problems, such as fluid queue theory and vibration analysis for high-speed trains. The authors present recent developments and results for the theory of doubling algorithms for nonlinear matrix equations associated with regular matrix pencils, and highlight the use of these algorithms in achieving robust solutions for notoriously challenging problems that other methods cannot. Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations is intended for researchers and computational scientists. Graduate students may also find it of interest.

Numerical Simulation: Theory and Analysis (Hardcover): Gregory Rago Numerical Simulation: Theory and Analysis (Hardcover)
Gregory Rago
R2,862 Discovery Miles 28 620 Ships in 12 - 17 working days
Optimal Methods for Ill-Posed Problems - With Applications to Heat Conduction (Hardcover): Vitalii P Tanana, Anna I. Sidikova Optimal Methods for Ill-Posed Problems - With Applications to Heat Conduction (Hardcover)
Vitalii P Tanana, Anna I. Sidikova
R3,238 Discovery Miles 32 380 Ships in 12 - 17 working days

The book covers fundamentals of the theory of optimal methods for solving ill-posed problems, as well as ways to obtain accurate and accurate-by-order error estimates for these methods. The methods described in the current book are used to solve a number of inverse problems in mathematical physics. Contents Modulus of continuity of the inverse operator and methods for solving ill-posed problems Lavrent'ev methods for constructing approximate solutions of linear operator equations of the first kind Tikhonov regularization method Projection-regularization method Inverse heat exchange problems

Numerical Simulation: Essential Concepts and Electrodynamics (Hardcover): Gregory Rago Numerical Simulation: Essential Concepts and Electrodynamics (Hardcover)
Gregory Rago
R3,010 Discovery Miles 30 100 Ships in 12 - 17 working days
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