algebraic I/O equations
An algebraic approach to the scattering equations
... Although conceptually the CHY approach is remarkable and very useful for many theoretical studies of properties of scattering amplitudes, when applying to real evaluation, one faces the problem of solving scattering ...
34
On the homogenization of partial integro-differential-algebraic equations
... A detailed discussion of our main result is given in Section 1. In this section we also give an account of the ideas used and compare it to other strategies in the literature. We sketch our plan to achieve our main ...
41
The numerical solution of partial differential algebraic equations
... 12. Bildik, N, Konuralp, A: Two-dimensional differential transform method, Adomian’s decomposition method and variational iteration method for partial differential equations. Int. J. Comput. Math. 83(12), 973-987 ...
10
Pseudo-transient continuation and differential-algebraic equations
... a variable-density reacting flow. We seek a steady-state balance of the discretized conservation laws of mass, momentum, energy, and (as applicable) chemical species. For all equations but the mass (“continuity”) ...
15
Systems of nonlinear algebraic equations with positive solutions
... difference equations, third and fourth order difference equations, three point boundary value problems, steady states of complex dynamical networks, ...
6
Bolh-Perron Theorem for Differential Algebraic Equations
... E t x t ( ) '( ) A t x ( ) ( ) t q t ( ) , t t 0 , (1.2) These systems occur in various applications, such as optimal control, electronic circuit simulation, multibody mechanics, etc., and they are described by a ...
10
On the Stability Analysis of Delay Differential-Algebraic Equations
... In the following we denote by ( 0 ) the set of natural numbers (including 0), by ( ) the set of real (complex) numbers and − : { = λ ∈ | Re( ) λ < 0} . By we denote a norm in n , by n n , the set of ...
13
Trace Inequalities for Matrix Products and Trace Bounds for the Solution of the Algebraic Riccati Equations
... In this paper, we have proposed lower and upper bounds for the trace of the product of two real square matrices in which one is diagonalizable. We have shown that our bounds for the trace are the tightest among the ...
17
Linear Differential-Algebraic Equations (Benchmark Proposal)
... Inspired by the lack of verification methods for high-index DAEs in the research literature, the central contribution of this paper is the provision of a series of executable and scalable benchmark problems for linear ...
11
Efficient Numerical Methods for Solving Differential Algebraic Equations
... y y (7c) in which the system of equations is to be solved for x(t) and y(t), where t ∈ [a, b]. In solving the system numer- ically, the conditions on the initial values of y must be imposed sufficiently for the ...
9
Solving Differential Equations of Second Order using Quadratic Legendre Multi wavelets (QLMW) with Operational Matrix of Integration
... In this paper is suggested an efficient method to solve differential equations. Using quadratic Legendre multi-wavelets approximation method, differential equations are converted into the system of ...
7
Robust Stability of Implicit Dynamic Equations on Time Scales
... dynamic equations on time ...difference equations, the time-varying differential algebraic equations and the time- varying implicit difference equations are also unified and extended ...
11
Differential Algebraic Equations of MOS Circuits and Jump Behavior
... The state space S of an electronic circuit can be interpreted as a differentiable manifold and is given by the intersection of the Ohmian O and the Kirchhoffian K space S := K ∩ O (Smale, 1972; Desoer and ...
6
Some properties of algebraic difference equations of first order
... Some properties of algebraic difference equations of first order Liu Advances in Difference Equations (2017) 2017 334 DOI 10 1186/s13662 017 1395 8 R E S E A R C H Open Access Some properties of algeb[.] ...
10
On higher index differential-algebraic equations in infinite dimensions
... ‘evolutionary equations’, see ...differential algebraic equa- tion holds in an integrated sense, where the number of integrations needed corresponds to the index of the ...
10
INTEGRATION FOR SPECIAL THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS USING IMPROVED RUNGE-KUTTA DIRECT METHOD
... some algebraic simplifications, this expansion is equated to the true solution which is presented by the Taylor series ...nonlinear algebraic equations is obtained, which is denoted as order ...The ...
8
Three-dimensional Magneto-thermo-elastic Analysis of Functionally Graded Truncated Conical Shells
... This work deals with the three-dimensional magneto-thermo-elastic problem of a functionally graded truncated conical shell under non-uniform internal pressure subjected to magnetic and thermal fields. The material ...
16
GENETIC CHANGES WITH GENERATIONS OF ARTIFICIAL SELECTION
... Using conditional probabilities and moment-generating matrices, I derived approximate algebraic equations that give expectations of gene frequency, population mean, gene freq[r] ...
14
Numerical Bifurcation Theory for High Dimensional Neural Models
... of algebraic equa- tions as a parameter is ...used algebraic equations which define stationary solutions of differential equations, in either a stationary or uniformly travelling coordinate ...
28
Fault Detection in Differential Algebraic Equations.
... In this chapter, we summarize the theory of completions, originally introduced in [14], and later matured in [13], [56], [57], [17], [18], and [55]. A completion of a DAE is an ODE whose solutions include those of the ...
187