by Ernst Hairer (Author), Christian Lubich (Author), Michel Roche (Author) & 0 more. Series: Lecture Notes in Mathematics (Book 1409). This item: The Numerical Solution of ic Systems by Runge-Kutta Methods (Lecture Notes in Mathematics)

by Ernst Hairer (Author), Christian Lubich (Author), Michel Roche (Author) & 0 more. ISBN-13: 978-3540518600. This item: The Numerical Solution of ic Systems by Runge-Kutta Methods (Lecture Notes in Mathematics). Pages with related products. See and discover other items: mathematics formula, lecture notes in math, lecture notes in mathematics.

These lecture notes provide a self-contained and comprehensive treatment of the numerical solution of ic systems using Runge-Kutta methods, and also extrapolation methods. Readers are expected to have a background in the numerical treatment of ordinary differential equations. The subject is treated in its various aspects ranging from the theory through the analysis to implementation and applications.

Ernst Hairer, Michel Roche, Christian Lubich. These lecture notes provide a self-contained and comprehensive treatment of the numerical solution of ic systems using Runge-Kutta methods, and also extrapolation methods

Ernst Hairer, Michel Roche, Christian Lubich. These lecture notes provide a self-contained and comprehensive treatment of the numerical solution of ic systems using Runge-Kutta methods, and also extrapolation methods.

Mathematics A composition law for Runge-Kutta methods applied to index-2 ic equations. R. P. K. Chan, Philippe Chartier.

A composition law for Runge-Kutta methods applied to index-2 ic equations. Cites results, background & methods.

Ernst Hairer; Christian Lubich; Michel Roche The Numerical Solution of ic Systems by. .

Ernst Hairer; Christian Lubich; Michel Roche The Numerical Solution of ic Systems by Runge-Kutta Methods (Lecture Notes in Mathematics). ISBN 13: 9783540518600. The Numerical Solution of ic Systems by Runge-Kutta Methods (Lecture Notes in Mathematics). Ernst Hairer; Christian Lubich; Michel Roche.

Authors Ernst Hairer Michel Roche Université de Genève, Département de Mathématiques Case Postale 240, 1211 .

Authors Ernst Hairer Michel Roche Université de Genève, Département de Mathématiques Case Postale 240, 1211 Genève 24, Switzerland Christian Lubich Universitàt Innsbruck, Institut fur Mathematik und Géométrie Technikerstr.

Authors: Hairer, Ernst, Lubich, Christian, Roche, Michel. Hairer, Ernst (et a. The term ic equation was coined to comprise differential equations with constraints (differential equations on manifolds) and singular implicit differential equations. Such problems arise in a variety of applications, . constrained mechanical systems, fluid dynamics, chemical reaction kinetics, simulation of electrical networks, and control engineering.

The Numerical Solution of ic Systems by.

The Numerical Solution of ic Systems by Runge-Kutta-Methods.

The numerical solution of ic systems by Runge-Kutta methods. E Hairer, C Lubich, M Roche. Journal of Computational and Applied Mathematics 111 (1-2), 93-111, 1999. One-step and extrapolation methods for ic systems. P Deuflhard, E Hairer, J Zugck. Numerische Mathematik 51 (5), 501-516, 1987. Geometric numerical integration illustrated by the Störmer–Verlet method. Backward analysis of numerical integrators and symplectic methods. Annals of Numerical Mathematics 1, 107-132, 1994.

Abstract: We consider the numerical solution of systems of semi-explicit index ic equations (DAEs) by methods based on Runge-Kutta (RK) coefficients

Abstract: We consider the numerical solution of systems of semi-explicit index ic equations (DAEs) by methods based on Runge-Kutta (RK) coefficients. For nonstiffly accurate RK coefficients, such as Gauss and Radau IA coefficients, the standard application of implicit RK methods is generally not superconvergent. To reestablish superconvergence projected RK methods and partitioned RK methods have been proposed. In this paper we propose a simple alternative which does not require any extra projection step and does not use any additional internal stage