E. Hairer and G. Wanner, Solving Ordinary Differential Equations II. (1991), Berlin, Heidelberg, New York, 1991 Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
First 50 documents Next 50
Efficient Numerical Integration for Atmospheric Chemistry - Jay, Sandu, Potra.. (Correct)
....based on the work of Lurmann et al. see [14] and Atkinson et al. see [1] is representative of those presently being used in the study of chemically perturbed environments. The results are tested against an exact solution (which was considered to be that obtained with the code RADAU5 [7] with very tight tolerances) In Figure 1 a work precision diagram is shown for QSSA, Extrapolated QSSA, and VODE (a BDF code, see [17] The number of significant digits is a measure of the error over all components. For the same computational effort Extrapolated QSSA is clearly more accurate ....
Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems; Springer Verlag, Berlin, 1991.
National Aeronautics and - Space Administration Langley (2000) (Correct)
....direction of the flow of information, and it is therefore best suited for two point boundary value problems. Quite differently, for initial value problems it is sometimes desirable to have stiffly accurate schemes, that are able to damp the higher frequencies components from the computed response [11]. This is achieved in practice by forcing a lack of symmetry in the scheme, that incorporates the knowledge on the direction of flow of information within the element. It is possible to derivesuchschemes in the present framework, allowing one single jump discontinuityatx i while enforcing the ....
E. HAIRER AND G. WANNER, Solving Ordinary Differential Equations II. Stiff and Differential--Algebraic Problems, Springer-Verlag, 1991.
A Sequential Regularization Method for - Time-Dependent Incompressible.. (1994) (Correct)
.... projection and pressure Poisson reformulations (e.g. 8, 12, 20, 24, 26] Another topic of great recent interest is the numerical solution of differentialalgebraic equations (DAEs) In their most popular special form, these are ordinary differential equations with some equality constraints (e.g. [6, 13]) Recall that an important concept for measuring the difficulty in solving DAEs is given by the (differential) index, which is defined by the minimal number of analytical constraint differentiations such that the DAE can be transformed by algebraic manipulations into an explicit first order ....
E. Hairer and G. Wanner, Solving Ordinary Differential Equations II, SpringerVerlag, 1991.
Planning for Kinematically Smooth Manipulator Trajectories - Mi, Yang (2002) (Correct)
....satisfies 11 0( nn gty where 1 = nnn tth . For such RK methods, it is also natural to take 1 : nns zZ . For RK methods whose coefficients satisfy 1 0 = j a for 1 = j. s , it is natural to take 1 : nn Zz . Other alternatives based on RK coefficients are half explicit RK methods [21 23], partitioned RK methods [24,25] and SPARK methods [26] The RK method used in our numerical experiments is the 2 stage Lobatto IIIA method, simply speaking the trapezoidal rule. Convergence of order 2 for the y component is achieved, meaning that the global error of the y component on a ....
....meaning that the global error of the y component on a finite interval between the exact solution and the trapezoidal rule approximation is bounded by Consth where max : nn hh . Detailed convergence results for Lobatto IIIA methods can be found in Hairer et al. 22] Hairer and Wanner [23] and Jay [27] The Butcher tableau coefficients i c ij a j b of the 2 stage Lobatto IIIA RK method is given as follows 0 0 2 1 2 1 For this method we obtain the following system of nonlinear equations for 1 n y and 1 n z ( 1111 11 2 nnnnnnnn nn ....
Hairer, E. and Wanner, G., 1996, Solving Ordinary Differential Equations II. Stiff and Differential-algebraic Problems, Second Revised Edition, Springer, Berlin.
Iterative solution of SPARK methods applied to DAEs - Jay (2002) (1 citation) (Correct)
....stiffness AMS subject classification: 65F10, 65H10, 65L05, 65L06, 65L80, 70F20, 70F25, 70H03, 70H45 1. Introduction In this article a broad class of systems of possibly stiff and implicit differential algebraic equations (DAEs) is considered, including Hessenberg DAEs of index 1, 2, and 3 [1,5,6,8,9]. These equations encompass the formulation of mechanical systems with mixed constraints of holonomic, nonholonomic, scleronomic, and rheonomic types [7,16,17] Solutions to these DAEs can be approximated numerically by applying a class of super partitioned additive Runge Kutta (SPARK) methods, ....
....of implicit differential algebraic equations (DAEs) d q(t,y) v(t,y,z) d dt p t, y,z) f(t,y,z,u,#,#,#) d c(t, y, z, u) d(t,y,z,u,#,#,#) 1c) m(t, y, z, u, # ) 0, 1d) 0, 1e) which may present some stiffness. These equations encompass Hessenberg DAEs of index 1, 2, and 3 [1,5,6,8,9]. They also include the formulation of mechanical systems with mixed constraints of holonomic, nonholonomic, scleronomic, and rheonomic types [7,13,16,17] In mechanics the quantities q,v,p represent respectively gener alized coordinates, generalized velocities, and generalized momenta. The ....
E. Hairer and G. Wanner, Solving Ordinary Differential Equations II. Stiff and Differential--Algebraic Problems, Comput. Math., Vol. 14, 2nd revised ed. (Springer, Berlin, 1996).
CAD for RF circuits - Piet Wambacq Gerd (2001) (Correct)
....high resolution on a wide variety of nonlinear circuits. It is also suitable for combining with matrix implicit Krylov subspace solvers in order to analyze large circuits with moderate computational cost. Another way of viewing our discretization scheme is as an implicit Runge Kutta (IRK) method [13]. Leveraging the theoretical framework available for analysis of IRK methods has given us an increased understanding of limitations of numerical techniques traditionally used in analog and RF circuit simulation, in particular the computational advantages associated with the superior stability ....
E. Hairer and G. Wanner, "Solving ordinary differential equations II", Springer-Verlag, 1991.
Unknown - (Correct)
No context found.
E. Hairer and G. Wanner, Solving Ordinary Differential Equations II. (1991), Berlin, Heidelberg, New York, 1991
Unknown - (Correct)
No context found.
E. Hairer and G. Wanner, Solving Ordinary Differential Equations II, Springer-Verlag, 1991.
Incomplete Partial Fractions for Parallel Evaluation.. - Calvetti.. (1995) (3 citations) (Correct)
No context found.
E. HAIRER AND G. WANNER, Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems, Springer-Verlag, Berlin, 1991.
May 17, 2004 18:22 - Asme Design Engineering (2004) (Correct)
No context found.
E. Hairer and G. Wanner. Solving ordinary differential equations II. Stiff and differential--algebraic problems., volume 14 of Springer Series in Comput. Mathematics. Springer--Verlag, second revised edition, 1996.
Beyond the Classical Theory of Computational - Ordinary Differential Equations (1996) (Correct)
No context found.
Hairer, E. and Wanner, G. (1991). Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems. Springer-Verlag, Berlin.
The Fer expansion and time symmetry: a Strang-type approach - Antonella Zanna November (1998) (3 citations) (Correct)
No context found.
E. Hairer and G. Wanner. Solving Ordinary Differential Equations II, volume 14 of SCM. Springer-Verlag, Berlin, 1991.
Corotational Simulation of Deformable Solids - Hauth, Strasser (2004) (Correct)
No context found.
E. Hairer and G. Wanner. Solving Ordinary Differential Equations II. Springer-Verlag, Berlin, 1996.
Strong stability and non-smooth data error estimates L_s →.. - Hansbo (1999) (1 citation) (Correct)
No context found.
E. Hairer and G. Wanner, Solving Ordinary Differential Equations II, Springer Series in Computational Mathematics vol. 14, Springer-Verlag 1991.
Shifted Slope-Comparison Multistep Formulas for ODEs - Janssen, Van Hentenryck (2002) (Correct)
No context found.
E. Hairer and G. Wanner. Solving Ordinary Differential Equations II. Stiff and DifferentialAlgebraic Problems. Springer-Verlag, Berlin, 1991.
Implicit-Explicit Schemes for Fast Animation with Particle .. - Eberhardt, Etzmuß, Hauth (2000) (8 citations) (Correct)
No context found.
E. Hairer and G. Wanner. Solving Ordinary Differential Equations II. SpringerVerlag, Berlin, 1996.
Collision Adaptive Particle Systems - Etzmuß, Eberhardt, Hauth, Straßer (2000) (Correct)
No context found.
E. Hairer and G. Wanner. Solving Ordinary Differential Equations II. Springer-Verlag, Berlin, 1996.
A High Performance Solver for the Animation of Deformable.. - Hauth, Etzmuss (2001) (9 citations) (Correct)
No context found.
E. Hairer and G. Wanner. Solving Ordinary Differential Equations II. Springer-Verlag, Berlin, 1996.
Unknown - (1997) (Correct)
No context found.
E. Hairer and G. Wanner, Solving Ordinary Differential Equations II, SpringerVerlag (Berlin), 1991.
Precisely A(alpha)-stable One-Leg Multistep Method - Janssen, Van Hentenryck (2002) (Correct)
No context found.
E. Hairer and G. Wanner. Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems. Springer-Verlag, Berlin, 1991.
A New Transient Integration Method for Free-Running Oscillators - Houben, Maten, Sevat (Correct)
No context found.
E. Hairer and G. Wanner. Solving Ordinary Differential Equations II, Stiff and Differential Algebraic problems. Second edition, Springer, 1996.
Preserving Algebraic Invariants with Runge-Kutta Methods - Iserles, Zanna (1999) (1 citation) (Correct)
No context found.
E. Hairer and G. Wanner. Solving Ordinary Differential Equations II, volume 14 of SCM. Springer-Verlag, Berlin, 1991.
A Constraint Satisfaction Approach for Enclosing.. - Janssen, Van.. (2003) (Correct)
No context found.
E. Hairer and G. Wanner. Solving Ordinary Differential Equations II. Stiff and DifferentialAlgebraic Problems. Springer-Verlag, Berlin, 1991.
Highly Oscillatory Systems And Periodic-Stability - Laurent Jay And (1995) (3 citations) (Correct)
No context found.
E. Hairer and G. Wanner, Solving ordinary differential equations II. Stiff and differentialalgebraic problems, Springer-Verlag, Berlin, 1991.
Assessing the local stability of periodic motions for .. - Quaranta.. (2003) (Correct)
No context found.
E. Hairer and G. Wanner, Solving Ordinary Differential Equations II. Stiff and Differential Algebraic Problems. Berlin, Germany: Springer-Verlag, 1996. 2 rev. ed.
First 50 documents Next 50
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC