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Multirate Integration Methods The Numerical Solution Of Stiff Systems Of Ordinary Differential Equations By Multirate Integration Methods
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Book Synopsis Multirate Integration Methods. The Numerical Solution of Stiff Systems of Ordinary Differential Equations by Multirate Integration Methods by : S. Skelboe
Download or read book Multirate Integration Methods. The Numerical Solution of Stiff Systems of Ordinary Differential Equations by Multirate Integration Methods written by S. Skelboe and published by . This book was released on 1984 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multirate Integration Methods by : Stig Skelboe
Download or read book Multirate Integration Methods written by Stig Skelboe and published by . This book was released on 1984 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book ECR. written by and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Automatic Multirate Methods for Ordinary Differential Equations by : Charles William Gear
Download or read book Automatic Multirate Methods for Ordinary Differential Equations written by Charles William Gear and published by . This book was released on 1980 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multirate Linear Multistep Methods for the Solution of Systems of Ordinary Differential Equations by : Daniel R. Wells
Download or read book Multirate Linear Multistep Methods for the Solution of Systems of Ordinary Differential Equations written by Daniel R. Wells and published by . This book was released on 1982 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1983 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Progress in Industrial Mathematics at ECMI 2008 by : Alistair D. Fitt
Download or read book Progress in Industrial Mathematics at ECMI 2008 written by Alistair D. Fitt and published by Springer Science & Business Media. This book was released on 2010-07-23 with total page 1060 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 15th European Conference on Mathematics for Industry was held in the agreeable surroundings of University College London, just 5 minutes walk from the British Museum in the heart of London, over the ?ve warm, sunny days from 30 June to 4 July 2008. Participants from all over the world met with the commonaimofreinforcingthe roleofmathematics asanoverarching resource for industry and business. The conference attracted over 300 participants from 30 countries, most of them participating with either a contributed talk, a minisymposium pres- tation or a plenary lecture. ‘Mathematics in Industry’ was interpreted in its widest sense as can be seen from the range of applications and techniques described in this volume. We mention just two examples. The Alan Tayler Lecture was given by Mario Primicerio on a problem arising from moving oil through pipelines when temperature variations a?ect the shearing properties of wax and thus modify the ?ow. The Wacker Prize winner, Master’s student Lauri Harhanen from the Helsinki University of Technology, showed how a novel piece of mathematics allowed new software to capture real-time images of teeth from the data supplied by present day dental machinery (see ECMI Newsletter 44). The meeting was attended by leading ?gures from government, bu- ness and science who all shared the same aim – to promote the application of innovative mathematics to industry, and identify industrial sectors that o?er the most exciting opportunities for mathematicians to provide new insight and new ideas.
Book Synopsis Semiconductors by : W.M. Jr. Coughran
Download or read book Semiconductors written by W.M. Jr. Coughran and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semiconductor and integrated-circuit modeling are an important part of the high-technology "chip" industry, whose high-performance, low-cost microprocessors and high-density memory designs form the basis for supercomputers, engineering workstations, laptop computers, and other modern information appliances. There are a variety of differential equation problems that must be solved to facilitate such modeling. This two-volume set covers three topic areas: process modeling and circuit simulation in Volume I and device modeling in Volume II. Process modeling provides the geometry and impurity doping characteristics that are prerequisites for device modeling; device modeling, in turn, provides static current and transient charge characteristics needed to specify the so-called compact models employed by circuit simulators. The goal of these books is to bring together scientists and mathematicians to discuss open problems, algorithms to solve such, and to form bridges between the diverse disciplines involved.
Book Synopsis Geometric Numerical Integration by : Ernst Hairer
Download or read book Geometric Numerical Integration written by Ernst Hairer and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory. The book is illustrated by numerous figures, treats applications from physics and astronomy, and contains many numerical experiments and comparisons of different approaches.
Book Synopsis Numerical Integrators for Stiff and Highly Oscillatory Differential Equations by : Simeon Ola Fatunla
Download or read book Numerical Integrators for Stiff and Highly Oscillatory Differential Equations written by Simeon Ola Fatunla and published by . This book was released on 1977 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multi-derivative Numerical Methods for the Solution of Stiff Ordinary Differential Equations by :
Download or read book Multi-derivative Numerical Methods for the Solution of Stiff Ordinary Differential Equations written by and published by . This book was released on 1974 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Current research in the physical scien6es and engineering has greatly enhanced the importance of computer programs for the numerical solution of systems of ordinary differential equations. Recent developments have concentrated on the solution of systems characterized as stiff for which the requirement of numerical stability can cause some integration methods to use a smaller stepsize than the control of the local truncation error requires. The stability and convergence of linear multi-step multi-derivative formulas have been investigated since it has been shown that linear multi-step formulas of order greater than two cannot be A-stable, a useful attribute for formulas used to integrate stiff systems. It has been shown that when a stable and consistent linear k-step s-derivative formula implemented in an iterated corrector method is applied to a system satisfying certain continuity requirements, the solution is convergent. A set of 11 multi-derivative multi-step formulas, all A-stable and of orders 1 through 11, have been found and implemented in a variable stepsize, variable order method as a FORTRAN program called D4. Tests of D4 on a set of stiff problems show it compares favorably with another stiff integrator.
Book Synopsis SIAM Journal on Scientific Computing by :
Download or read book SIAM Journal on Scientific Computing written by and published by . This book was released on 2008 with total page 1402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Comparison of Techniques for the Integration of Stiff Ordinary Differential Equations by : Christopher Francis Hoeber
Download or read book Comparison of Techniques for the Integration of Stiff Ordinary Differential Equations written by Christopher Francis Hoeber and published by . This book was released on 1970 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Solution of Ordinary Differential Equations by :
Download or read book Numerical Solution of Ordinary Differential Equations written by and published by Academic Press. This book was released on 1971-03-31 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Download or read book Proceedings written by and published by . This book was released on 1984 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modern Numerical Methods for Ordinary Differential Equations by : G. Hall
Download or read book Modern Numerical Methods for Ordinary Differential Equations written by G. Hall and published by Oxford University Press, USA. This book was released on 1976 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Construction Of Integration Formulas For Initial Value Problems by : P.J. Van Der Houwen
Download or read book Construction Of Integration Formulas For Initial Value Problems written by P.J. Van Der Houwen and published by Elsevier. This book was released on 2012-12-02 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Construction of Integration Formulas for Initial Value Problems provides practice-oriented insights into the numerical integration of initial value problems for ordinary differential equations. It describes a number of integration techniques, including single-step methods such as Taylor methods, Runge-Kutta methods, and generalized Runge-Kutta methods. It also looks at multistep methods and stability polynomials. Comprised of four chapters, this volume begins with an overview of definitions of important concepts and theorems that are relevant to the construction of numerical integration methods for initial value problems. It then turns to a discussion of how to convert two-point and initial boundary value problems for partial differential equations into initial value problems for ordinary differential equations. The reader is also introduced to stiff differential equations, partial differential equations, matrix theory and functional analysis, and non-linear equations. The order of approximation of the single-step methods to the differential equation is considered, along with the convergence of a consistent single-step method. There is an explanation on how to construct integration formulas with adaptive stability functions and how to derive the most important stability polynomials. Finally, the book examines the consistency, convergence, and stability conditions for multistep methods. This book is a valuable resource for anyone who is acquainted with introductory calculus, linear algebra, and functional analysis.
