This fascinating book tells the history of the well known facility near Oslo in Norway. Dedicated to tackling scientific challenges of genuine social importance, the laboratory undertakes crucial research in networks, computing and software engineering.
This handbook provides an opportunity for researchers, graduate students and practitioners to explore the application of algorithms and discrete mathematics for solving scientific, engineering and practical problems. Recently, a number of application areas for algorithms have been emerging into their own disciplines and communities.
The purpose of this handbook is to provide an accessible and comprehensive compendium of Monte Carlo techniques and related topics. It contains a mix of theory (summarized), algorithms (pseudo and actual), and applications. Since the audience is broad, the theory is kept to a minimum, this without sacrificing rigor.
Presents an introduction to finite elements, iterative linear solvers and scientific computing aimed at graduates in engineering, numerical analysis, applied mathematics and interdisciplinary scientific computing. This book also includes theoretical problems and practical exercises closely tied with downloadable MATLAB software.
This volume includes contributions from numerous disciplines, bridging a vital gap between the mathematical sciences and neuroscience research. This book demonstrates how methods from data mining, signal processing, optimization and cutting-edge medical techniques can be used to tackle the most challenging modern neuroscience problems.
Numerical analysis is the branch of mathematics concerned with the theoretical foundations of numerical algorithms for the solution of problems arising in scientific applications. This book presents the theoretical concepts of numerical analysis. It also presents the practical justification of these methods through computer examples using MATLAB.
Provides an exploration of standard numerical analysis topics, as well as non-traditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. This textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering.
The 91st London Mathematical Society Durham Symposium on "Numerical Analysis of Multiscale Problems" was held at Durham, UK, from July 5th to 15th 2010. This book contains 10 invited articles from the meeting's key speakers, including those who gave the six short courses of three lectures each.
Suitable for students of science and engineering, this title shows that the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. It also helps them learn about errors that inevitably accompany scientific computations and arms them with methods.
Numerical simulation is the kind of simulation that uses numerical methods to quantitatively represent the evolution of a physical system. In practice, numerical simulation uses the values that can best represent the real environment. This book presents the research from around the world on numerical simulation.
Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of basic convergence theory and error analysis for spectral methods.
Examines the main concepts and advances in multiscale finite element methods. This title includes chapters that start with a simple introduction and the description of the proposed methods with examples. It is suitable for engineers, applied scientists and those who are interested in multiscale simulations.
This book reflects the most recent developments in finite element methods and is accessible to students of mathematics, engineering, and physics due to its approach. An overview and consolidation of the basic knowledge of linear spaces and PDEs is presented, which is followed by this discussion of finite element methods and its applications.
Emphasizing the theory behind the computation, this book provides a self-contained introduction to numerical analysis and presents the advanced mathematics that underpin industrial software. It presents the mathematical foundations of numerical analysis. It introduces many advanced concepts in modern analysis.
The proceedings of the Workshop on Analytical and Computational Methods for Convention-Dominated and Singularly Peturbed Problems, Lozenetz, 27-31 August, 1998. It presents developments in the theory and applications of advanced numerical methods to problems having boundary and interior layers.
An introduction to the application of the finite element method to the solution of boundary and initial-value problems posed in terms of partial differential equations. Contains worked examples throughout and each chapter has a set of exercises with detailed solutions.
Demonstrates how the built-in functions of MATLAB[registered] can be used to solve systems of linear equations, ODEs, roots of transcendental equations, statistical problems, optimization problems, control systems problems, and stress analysis problems. It also discusses the finite element method and mechanical controls.
Gives an introduction to the modern approximation techniques and explains how, why, and when the techniques can be expected to work. This title focuses on building students' intuition to help them understand why the techniques presented work in general, and why, in some situations, they fail.
Presents simulation modeling as an in-vitro laboratory that facilitates the understanding of complex systems and experimentation with what-if scenarios in order to estimate their performance metrics. This book contains chapters on the simulation modeling methodology and the underpinnings of discrete-event systems.
In its updated second edition, this book explores computational methods for problems arising in the areas of classical analysis, approximation theory, and ordinary differential equations, among others. Includes new exercises, and a complete solutions manual.
Computational mathematics involves mathematical research in areas of science where computing plays a central and essential role. This book covers such topics as: coherence-homotopies of higher order, Vandermonde Systems: theory and application, numerical conformal mappings for waveguides, and computational study of 3D affine transformation.
This book reviews the advantages and drawbacks of Eulerian and Lagrangian coordinates as well as the Arbitrary Lagrangian-Eulerian and moving mesh methods in Computational Fluid Dynamics for one- and multi-dimensional flows. Illustrated with numerous examples.
Unifies the concepts of information, codes and cryptography as first considered by Shannon in his seminal papers on communication and secrecy systems. This book covers the ideas of information theory, compact encoding of messages, and an introduction to the theory of error-correcting codes, and includes many problems together with solutions.
Presents developments of numerical methods employed in computational fluid dynamics. This book treats numerical principles are treated in detail, using elementary methods. It focuses on difficulties arising from geometric complexity of the flow domain.
This revised edition provides the mathematical background and algorithmic skills required for the production of numerical software. It includes rewritten and clarified proofs and derivations, as well as new topics such as Arnoldi iteration, and domain decomposition methods.
This book describes mathematical models and numerical simulations, such as the mathematical representation of vascular geometries extracted from medical images, which aid in understanding of physiological and pathological processes in cardiovascular disease.
Offers an application-oriented introduction to the highly topical area of the development and analysis of efficient fixed-parameter algorithms for optimally solving computationally hard combinatorial problems. This book is aimed at graduate and research mathematicians, programmers, algorithm designers, and computer scientists.
Suitable for engineering and science students who need to learn numerical problem solving, this book introduces theory to inform key concepts which are framed in applications and demonstrated using MATLAB. It features chapters on Eigenvalues and Fourier Analysis and is accompanied by a set of m-files and instructor materials.
Incorporating both the cycles and the risk approach using the audit risk model, this book aims to help students learn to design and prepare the year's working papers and assemble the completed case. It takes about 30 hours to complete, and this practice set can be used with any auditing textbook.
A selection of papers presented at the Conference on the State of The Art in Numerical Analysis in York in April 1996. The collection provides a wide ranging review of recent developments in the field. This title is number 63 in the INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS CONFERENCE SERIES.
Contains results and various topics including delayed loss of stability, shock waves, and interior scattering. This book includes sections that offer the history of singularity and its applications, and a discussion of perestroika in terms of the theory of metamorphosis.
Part of the AS Further Maths module, this work features: worked examples, activities, investigations, graded exercises, key points summaries and discussion points. It supports OCR's MEI Structured Mathematics specification, and matches the requirements of the specifications, for first teaching in 2004.
This book details algorithms for large-scale unconstrained and bound constrained optimization. It shows optimization techniques from a conjugate gradient algorithm perspective as well as methods of shortest residuals, which have been developed by the author.
Most numerical analysis books emphasize the mathematical or programming aspects of numerical algorithms. This volume applies these techniques to the real world, by means of 22 projects which lead the reader through the techniques taught as part of a first course in numerical analysis.
Numerical Recipes: The Art of Scientific Computing was first published in 1986 and became an instant classic among scientists, engineers, and social scientists. In this book the original, time-tested programs have been completely reworked into a clear, consistent Pascal style.
An enhanced version of an earlier Russian edition. It deals with modern symplectic geometry and its applications. It puts more emphasis on reordering the topics according to a category-theoretical view. This allows the mathematical results to be stated, proved, and understood in a much easier way.
Composed of two parts: Mathematical and Numerical Analysis for Strongly Nonlinear Plasma Models and Exact Controllability and Observability for Quasilinear Hyperbolic Systems and Applications, this title presents the progress and results obtained in the domains related to both subjects.
Based on the author's experience with calculations involving polynomial splines, this book presents those parts of the theory useful in calculations and stressing the representation of splines as weighted sums of B-splines. It develops the B-spline theory directly from the recurrence relations without recourse to divided differences.
This volume presents the mathematical theory of the finite element method and focuses on the question of how reliable computed results really are. Many computational examples illustrate the importance of the theoretical conclusions for practical computations.