An Optimal Method Of Computing The Eigenvalues Of The Selfadjoint Eigenvalue Problem For The Ordinary Differential Equations
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An Optimal Method Of Computing The Eigenvalues Of The Selfadjoint Eigenvalue Problem For The Ordinary Differential Equations
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Author : Teresa Regińska
language : en
Publisher:
Release Date : 1970
An Optimal Method Of Computing The Eigenvalues Of The Selfadjoint Eigenvalue Problem For The Ordinary Differential Equations written by Teresa Regińska and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.
An Optimal Method Of Computing The Eigenvalues Of The Selfajoint Eigenvalue Problem For The Ordinary Differential Equations
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Author : Teresa Regińska
language : en
Publisher:
Release Date : 1970
An Optimal Method Of Computing The Eigenvalues Of The Selfajoint Eigenvalue Problem For The Ordinary Differential Equations written by Teresa Regińska and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.
Guaranteed Computational Methods For Self Adjoint Differential Eigenvalue Problems
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Author : Xuefeng Liu
language : en
Publisher: Springer Nature
Release Date :
Guaranteed Computational Methods For Self Adjoint Differential Eigenvalue Problems written by Xuefeng Liu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Variational Methods For Eigenvalue Approximation
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Author : H. F. Weinberger
language : en
Publisher: SIAM
Release Date : 1974-01-01
Variational Methods For Eigenvalue Approximation written by H. F. Weinberger and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-01-01 with Mathematics categories.
Provides a common setting for various methods of bounding the eigenvalues of a self-adjoint linear operator and emphasizes their relationships. A mapping principle is presented to connect many of the methods. The eigenvalue problems studied are linear, and linearization is shown to give important information about nonlinear problems. Linear vector spaces and their properties are used to uniformly describe the eigenvalue problems presented that involve matrices, ordinary or partial differential operators, and integro-differential operators.
Non Self Adjoint Boundary Eigenvalue Problems
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Author : R. Mennicken
language : en
Publisher: Gulf Professional Publishing
Release Date : 2003-06-26
Non Self Adjoint Boundary Eigenvalue Problems written by R. Mennicken and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-26 with Mathematics categories.
The 'North-Holland Mathematics Studies' series comprises a set of cutting-edge monographs and studies. This volume explores non-self-adjoint boundary eigenvalue problems for first order systems of ordinary differential equations and n-th order scalar differential equations.
On The Construction Of Highly Stable Explicit Numerical Methods For Integrating Coupled Ordinary Differential Equations With Parasitic Eigenvalues
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Author : Harvard Lomax
language : en
Publisher:
Release Date : 1968
On The Construction Of Highly Stable Explicit Numerical Methods For Integrating Coupled Ordinary Differential Equations With Parasitic Eigenvalues written by Harvard Lomax and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Differential equations categories.
Ordinary Differential Equations And Integral Equations
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Author : C.T.H. Baker
language : en
Publisher: Elsevier
Release Date : 2001-06-20
Ordinary Differential Equations And Integral Equations written by C.T.H. Baker and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-20 with Mathematics categories.
/homepage/sac/cam/na2000/index.html7-Volume Set now available at special set price ! This volume contains contributions in the area of differential equations and integral equations. Many numerical methods have arisen in response to the need to solve "real-life" problems in applied mathematics, in particular problems that do not have a closed-form solution. Contributions on both initial-value problems and boundary-value problems in ordinary differential equations appear in this volume. Numerical methods for initial-value problems in ordinary differential equations fall naturally into two classes: those which use one starting value at each step (one-step methods) and those which are based on several values of the solution (multistep methods).John Butcher has supplied an expert's perspective of the development of numerical methods for ordinary differential equations in the 20th century. Rob Corless and Lawrence Shampine talk about established technology, namely software for initial-value problems using Runge-Kutta and Rosenbrock methods, with interpolants to fill in the solution between mesh-points, but the 'slant' is new - based on the question, "How should such software integrate into the current generation of Problem Solving Environments?"Natalia Borovykh and Marc Spijker study the problem of establishing upper bounds for the norm of the nth power of square matrices.The dynamical system viewpoint has been of great benefit to ODE theory and numerical methods. Related is the study of chaotic behaviour.Willy Govaerts discusses the numerical methods for the computation and continuation of equilibria and bifurcation points of equilibria of dynamical systems.Arieh Iserles and Antonella Zanna survey the construction of Runge-Kutta methods which preserve algebraic invariant functions.Valeria Antohe and Ian Gladwell present numerical experiments on solving a Hamiltonian system of Hénon and Heiles with a symplectic and a nonsymplectic method with a variety of precisions and initial conditions.Stiff differential equations first became recognized as special during the 1950s. In 1963 two seminal publications laid to the foundations for later development: Dahlquist's paper on A-stable multistep methods and Butcher's first paper on implicit Runge-Kutta methods.Ernst Hairer and Gerhard Wanner deliver a survey which retraces the discovery of the order stars as well as the principal achievements obtained by that theory.Guido Vanden Berghe, Hans De Meyer, Marnix Van Daele and Tanja Van Hecke construct exponentially fitted Runge-Kutta methods with s stages.Differential-algebraic equations arise in control, in modelling of mechanical systems and in many other fields.Jeff Cash describes a fairly recent class of formulae for the numerical solution of initial-value problems for stiff and differential-algebraic systems.Shengtai Li and Linda Petzold describe methods and software for sensitivity analysis of solutions of DAE initial-value problems.Again in the area of differential-algebraic systems, Neil Biehn, John Betts, Stephen Campbell and William Huffman present current work on mesh adaptation for DAE two-point boundary-value problems.Contrasting approaches to the question of how good an approximation is as a solution of a given equation involve (i) attempting to estimate the actual error (i.e., the difference between the true and the approximate solutions) and (ii) attempting to estimate the defect - the amount by which the approximation fails to satisfy the given equation and any side-conditions.The paper by Wayne Enright on defect control relates to carefully analyzed techniques that have been proposed both for ordinary differential equations and for delay differential equations in which an attempt is made to control an estimate of the size of the defect.Many phenomena incorporate noise, and the numerical solution of
High Precision Methods In Eigenvalue Problems And Their Applications
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Author : Leonid D. Akulenko
language : en
Publisher: CRC Press
Release Date : 2004-10-15
High Precision Methods In Eigenvalue Problems And Their Applications written by Leonid D. Akulenko and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-15 with Science categories.
This book presents a survey of analytical, asymptotic, numerical, and combined methods of solving eigenvalue problems. It considers the new method of accelerated convergence for solving problems of the Sturm-Liouville type as well as boundary-value problems with boundary conditions of the first, second, and third kind. The authors also present high
Refined Iterative Methods For Computation Of The Solution And The Eigenvalues Of Self Adjoint Boundary Value Problems
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Author : M. Engeli
language : en
Publisher: Birkhauser
Release Date : 1980-01-01
Refined Iterative Methods For Computation Of The Solution And The Eigenvalues Of Self Adjoint Boundary Value Problems written by M. Engeli and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-01-01 with categories.
Variational Methods For Eigenvalue Problems
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Author : Sydney Henry Gould
language : en
Publisher: University of Toronto Press ; London : Oxford University Press
Release Date : 1966
Variational Methods For Eigenvalue Problems written by Sydney Henry Gould and has been published by University of Toronto Press ; London : Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Mathematics categories.