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  Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Ordinary Differential Equations (G.1.7) > Differential-Algebraic Equations (G.1.7...)  
 
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  1-9 of 9 Reviews about "Differential-Algebraic Equations (G.1.7...)": Date Reviewed
  Dynamics and bifurcation in networks: theory and applications of coupled differential equations
Golubitsky M., Stewart I., SIAM, New York, NY, 2023. 870 pp.  Type: Book (1611977320)

This magnificent book covers the impact of (a) inherent symmetry in a class of ordinary differential equations (ODEs); (b) inherent structural symmetry in the underlying graph/network; and (c) their interaction on the overall stability and bifurca...

Dec 27 2023
  Multigrid for matrix-free high-order finite element computations on graphics processors
Kronbichler M., Ljungkvist K. ACM Transactions on Parallel Computing 6(1): 1-32, 2019.  Type: Article

Discretization is a method for transforming continuous variables, equations, functions, and models into their discrete equivalents. A multigrid technique uses a hierarchy of discretization to solve elliptic partial differential equatio...

Apr 7 2021
  On the initial value problem of fractional evolution equations with noncompact semigroup
Chen P., Li Y., Chen Q., Feng B. Computers & Mathematics with Applications 67(5): 1108-1115, 2014.  Type: Article

Differential equations of fractional (that is, non-integer) order have in recent years proven to be very valuable tools for the modeling of many phenomena in science and engineering. Thus, there is a noticeable interest in theoretical ...

Feb 26 2015
   Control and optimization with differential-algebraic constraints
Biegler L., Campbell S., Mehrmann V., SIAM, Philadelphia, PA, 2012. 356 pp.  Type: Book (978-1-611972-24-5)

Many real-world optimal control problems can be most concisely modeled as mixed systems of differential and algebraic equations. This formulation allows for problems to be cleanly decomposed into component parts that are connected in a...

Sep 25 2013
   Numerical treatment of a Volterra integral equation with space maps
Annunziato M., Messina E. Applied Numerical Mathematics 60(8): 809-815, 2010.  Type: Article

Fundamental in the numerical solution of any integral equation is the discretization process. Annunziato and Messina describe a heterogeneous process of discretization for the space and temporal variable. Using a contraction theorem in...

Aug 26 2010
  Evaluation codes at singular points of algebraic differential equations
Campillo A., Farran J., Pisabarro M. Applicable Algebra in Engineering, Communication and Computing 18(1): 191-203, 2007.  Type: Article

Evaluation codes are defined as follows: let F be a finite field and let P1, ... , Pn be points in F × F; fix some positive integer
Oct 25 2007
  Periodic solutions of DAEs with applications to dissipative electric circuits
Trzaska Z., Marszalek W.  Modeling, identification, and control (Proceedings of the 25th IASTED International Conference on Modeling, Identification, and Control, Lanzarote, Spain, Feb 6-8, 2006) 309-314, 2006.  Type: Proceedings

Differential algebraic equations (DAEs) consist of a system of differential equations linked to a system of algebraic equations. The differential equations model a dynamic process, while the algebraic equations represent equilibrium re...

Jan 12 2007
  On the convergence of iterative methods for general differential--algebraic systems
Bartoszewski Z., Jankowski T., Kwapisz M. Journal of Computational and Applied Mathematics 169(2): 393-418, 2004.  Type: Article

Bartoszewski, Jankowski, and Kwapisz address the problem of convergence of some iterative methods for general differential-algebraic systems. The techniques involved are constructive and simple. Two examples are provided to illustrate ...

Nov 9 2004
  Partitioned half-explicit Runge-Kutta methods for differential-algebraic systems of index 2
Murua A. Computing 59(1): 43-61, 1997.  Type: Article

Index 2 differential-algebraic equations play an important role in the modeling of mechanical systems subject to constraints. They are typically expressible in the autonomous Hessenberg form assumed in this paper. The numerical method ...

Jun 1 1998
 
 
 
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