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» Differential equations for algebraic functions
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ISSAC
2007
Springer
147views Mathematics» more  ISSAC 2007»
13 years 11 months ago
Differential equations for algebraic functions
It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their po...
Alin Bostan, Frédéric Chyzak, Bruno ...
CDC
2009
IEEE
211views Control Systems» more  CDC 2009»
13 years 10 months ago
On stability of linear switched differential algebraic equations
Abstract— This paper studies linear switched differential algebraic equations (DAEs), i.e., systems defined by a finite family of linear DAE subsystems and a switching signal t...
Daniel Liberzon, Stephan Trenn

Book
19360views
15 years 4 months ago
Numerical Recipes in C
C code implementation of several math algorithms such as Linear Algebraic Equations, Interpolation and Extrapolation, Integration of Functions, Evaluation of Functions, Random Num...
William H. Press, Saul A. Teukolsky, William T. Ve...
ISSAC
2005
Springer
141views Mathematics» more  ISSAC 2005»
13 years 11 months ago
Algebraic general solutions of algebraic ordinary differential equations
In this paper, we give a necessary and sufficient condition for an algebraic ODE to have an algebraic general solution. For an autonomous first order ODE, we give an optimized bo...
J. M. Aroca, J. Cano, Ruyong Feng, Xiao-Shan Gao
RC
2002
96views more  RC 2002»
13 years 5 months ago
Verification of Invertibility of Complicated Functions over Large Domains
A new method to decide the invertibility of a given high-dimensional function over a domain is presented. The problem arises in the field of verified solution of differential algeb...
Jens Hoefkens, Martin Berz