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Differential algebraic equation

Known as: DAE, Differential-algebraic equation 
In mathematics, differential-algebraic equations (DAEs) are a general form of (systems of) differential equations for vector–valued functions x in… Expand
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Related topics

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29 relations
APMonitorComputer simulationDEVSEuler–Lagrange equation
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Broader (1)

Numerical analysis

Papers overview

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Highly Cited
2012
Highly Cited
2012
Control and Optimization with Differential-Algebraic Constraints
Differential-algebraic equations are the most natural way to mathematically model many complex systems in science and engineering… Expand
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Highly Cited
2012
Highly Cited
2012
Switched nonlinear differential algebraic equations: Solution theory, Lyapunov functions, and stability
We study switched nonlinear differential algebraic equations (DAEs) with respect to existence and nature of solutions as well as… Expand
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Highly Cited
2010
Highly Cited
2010
Solving Differential Equations in R: Package deSolve
In this paper we present the R package deSolve to solve initial value problems (IVP) written as ordinary differential equations… Expand
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Highly Cited
2009
Highly Cited
2009
Some notes on generalized Hukuhara differentiability of interval-valued functions and interval differential equations
Our paper "Generalized Hukuhara Differentiability of Interval-valued Functions and Interval Differential Equations", appeared in… Expand
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Highly Cited
2005
Highly Cited
2005
SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers
SUNDIALS is a suite of advanced computational codes for solving large-scale problems that can be modeled as a system of nonlinear… Expand
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Highly Cited
2005
Highly Cited
2005
Numerical solution of initial value problems in differential - algebraic equations
During the last decade, a big progress has been achieved in the analysis and numerical treatment of Initial Value Problems (IVPs… Expand
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Highly Cited
1998
Highly Cited
1998
Computer methods for ordinary differential equations and differential-algebraic equations
From the Publisher: Designed for those people who want to gain a practical knowledge of modern techniques, this book contains… Expand
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Highly Cited
1994
Highly Cited
1994
Using Krylov Methods in the Solution of Large-Scale Differential-Algebraic Systems
In this paper, a new algorithm for the solution of large-scale systems of differential-algebraic equations is described. It is… Expand
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Highly Cited
1989
Highly Cited
1989
The Numerical Solution Of Differential-Algebraic Systems By Runge-Kutta Methods
The term differential-algebraic equation was coined to comprise differential equations with constraints (differential equations… Expand
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Highly Cited
1982
Highly Cited
1982
Differential/Algebraic Equations are not ODE's
This paper outlines a number of difficulties which can arise when numerical methods are used to solve systems of differential… Expand
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