a differential-algebraic system of equations (DAE) is a system of equations that either contains differential equations and algebraic equations, or...

paper Manifolds Of Functions Defined By Systems Of Algebraic Differential Equations and 2 books, Differential Equations From The Algebraic Standpoint and...

In mathematics, an algebraic differential equation is a differential equation that can be expressed by means of differential algebra. There are several...

numerical integration of ordinary differential equations (ODEs) and differential algebraic equations (DAEs), to be used. A large number of integration routines...

Ordinary Differential Equations and Differential-Algebraic Equations, SIAM, ISBN 978-1-61197-139-2 Coddington, Earl A.; Levinson, Norman (1955). Theory of Ordinary...

partial derivatives. A linear differential equation or a system of linear equations such that the associated homogeneous equations have constant coefficients...

optimization solution of linear and some non-linear equations over various domains solution of some differential and difference equations taking some limits...

simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear as variables of a polynomial of degree...

two kinds of equations: identities and conditional equations. An identity is true for all values of the variables. A conditional equation is only true...

pseudo-differential equations use pseudo-differential operators instead of differential operators. A differential algebraic equation (DAE) is a differential...

equations, System of bilinear equations, System of polynomial equations, System of differential equations, or a System of difference equations Simultaneous...

differential algebraic equation (PDAE) set is an incomplete system of partial differential equations that is closed with a set of algebraic equations...

for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their...

smoothness of solutions to the Navier–Stokes equations, named as one of the Millennium Prize Problems in 2000. Partial differential equations are ubiquitous...

Stochastic differential equations can also be extended to differential manifolds. Stochastic differential equations originated in the theory of Brownian...

these equations because of their relation to the Riccati differential equation. Indeed, the CARE is verified by the time invariant solutions of the associated...

operations Differential algebra – Algebraic study of differential equations Differential Galois theory – Study of Galois symmetry groups of differential fields...

certain systems of partial differential equations are usefully formulated, from the point of view of their underlying geometric and algebraic structure...

mathematics, differential Galois theory is the field that studies extensions of differential fields. Whereas algebraic Galois theory studies extensions of algebraic...

In mathematics, delay differential equations (DDEs) are a type of differential equation in which the derivative of the unknown function at a certain time...

Algebraic analysis is an area of mathematics that deals with systems of linear partial differential equations by using sheaf theory and complex analysis...

neurons can be described by a system of integro-differential equations, see for example the Wilson-Cowan model. The Whitham equation is used to model nonlinear...

ordinary differential equations or partial differential equations. A simulation run solves the state-equation system to find the behavior of the state...

differential equations that have been named, sorted by area of interest. List of linear ordinary differential equations List of nonlinear partial differential equations...

of algebraic structures. Within certain algebraic structures, it examines the use of variables in equations and how to manipulate these equations. Algebra...

In the theory of differential forms, a differential ideal I is an algebraic ideal in the ring of smooth differential forms on a smooth manifold, in other...

integration of ordinary differential equations (ODEs) and differential-algebraic systems of equations (DAEs). Many integration routines have been developed...

the study of differential equations for connections on bundles, and the resulting geometric moduli spaces of solutions to these equations as well as...

guarded equations to result in systems of differential algebraic equations (DAEs) where the active equations may change, for example by means of a hybrid...

generally algebraic varieties or manifolds. In particular, algebraic geometry may be viewed as the study of solution sets of algebraic equations. The methods...