Results 41 to 50 of about 889,087 (322)
Aerospace, 2023 This study deals with the mathematical modeling and numerical simulation of chemical propulsion systems (CPSs). For this, we investigate and summarize a comprehensive collection of the simulation modeling developments of CPSs in academic works ...
Jihyoung Cha
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Nonsmooth differential-algebraic equations in chemical engineering
Computers and Chemical Engineering, 2017 This article advocates a nonsmooth differential-algebraic equations (DAEs) modeling paradigm for dynamic simulation and optimization of process operations.
Peter G. Stechlinski +2 more
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Nonlinear differential equations and algebraic systems
International Journal of Mathematics and Mathematical Sciences, 1978 In this paper we obtain the general solution of scalar, first-order differential equations. The method is variation of parameters with asymptotic series and the theory of partial differential equations.
Lloyd K. Williams
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Differential Equations for Algebraic Functions [PDF]
, 2007 It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their power series expansions.
Bostan, Alin +4 more
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Free integro-differential algebras and Groebner-Shirshov bases [PDF]
, 2014 The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative analog achieves a similar purpose for linear systems of such equations.
Gao, Xing, Guo, Li, Rosenkranz, Markus
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IEEE Transactions on Circuits and Systems Part 1: Regular Papers, 2016 This paper focuses on the small-signal stability analysis of systems modelled as differential-algebraic equations and with inclusions of delays in both differential equations and algebraic constraints.
F. Milano, I. Dassios
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Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]
, 2012 We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Buchberger, Bruno +3 more
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On discrete analogues of nonlinear implicit differential equations
Advances in Difference Equations, 2006 This paper deals with some classes of nonlinear implicit difference equations obtained via discretization of nonlinear differential-algebraic or partial differential-algebraic equations.
Anh Pham Ky, Loi Le Cong
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Pseudotransient Continuation and Differential-Algebraic Equations [PDF]
SIAM Journal on Scientific Computing, 2003 The authors present a globally convergent method for semi-explicit index-1 differential-algebraic equations (DAEs) given by an iteration procedure. Pseudotransient continuation is a practical technique for globalizing the computation of steady-state solutions of nonlinear differential equations and is applied here to DAEs.
Coffey, Todd S. +2 more
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On algebraic differential equations concerning the Riemann-zeta function and the Euler-gamma function [PDF]
Complex Variables and Elliptic Equations, 2020 In this paper, we prove that ζ is not a solution of any non-trivial algebraic differential equation whose coefficients are polynomials in over the ring of polynomials in , are nonnegative integers.
Qiongyan Wang, Z. Li, Man-Li Liu, Nan Li
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