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Developing Geometric Reasoning of the Relationship of the Cauchy Riemann Equations and Differentiation

International Journal of Research in Undergraduate Mathematics Education, 2023
Jonathan Troup   +2 more
semanticscholar   +1 more source

Stabilization of non-linear differential-algebraic equation systems

International Journal of Control, 2004
In this paper, the feedback stabilization problem is investigated for non-linear differential-algebraic equation systems. The paper is composed of two algorithms, namely a regularization algorithm and a stabilization algorithm. It is shown that the feasibility of the regularization algorithm guarantees that there exists a feedback so that the closed ...
Xiaoping Liu *, Daniel W. C. Ho
openaire   +1 more source

Algebraic Analysis of Linear Partial Differential Equations

2014
In this chapter, we present the natural coordinate-free approach to systems of linear partial differential equations on manifolds, in the setting of \(\mathcal {D}\)-modules. This tools will be used for the algebraic study of non-linear partial differential equations and gauge theories, and for the formulation of the quantization problem for ...
openaire   +1 more source

Numerical solution of linear differential-algebraic systems of partial differential equations

Computational Mathematics and Mathematical Physics, 2015
The paper considers the initial boundary value problem for a linear differential-algebraic system. An iterative spline collocation difference scheme is proposed. The method is proved to be stable and verified by some test problems.
openaire   +1 more source

Linearity of differentiable mappings of locally convex algebras

Journal of Interdisciplinary Mathematics
In this paper introduced the concept σ-Differentiability over a locally convex algebra A (breifly(A,σ)-Differentiability) of mappings constructed by a system of bounded subsets in a convex algebra, and also created σ-continuous and (A,σ)-continuous mappings in these algebras, demonstrating their linearity and continuity.
Muayad G. Mohsin, Z. D. Al-Nafie
openaire   +1 more source

Differentiation, Linear, and Multilinear Functions in Geometric Algebra

Geometric Algebra Applications Vol. I, 2018
E. Bayro-Corrochano
semanticscholar   +1 more source

Observability of Linear Differential-Algebraic Systems: A Survey

2017
We investigate different concepts related to observability of linear constant coefficient differential-algebraic equations. Regularity, which, loosely speaking, guarantees existence and uniqueness of solutions for any inhomogeneity, is not required in this article. Concepts like impulse observability, observability at infinity, behavioral observability,
Thomas Berger, Timo Reis, Stephan Trenn
openaire   +1 more source

Variational algorithms for linear algebra

Science Bulletin, 2021
Xiaosi Xu, Jinzhao Sun, Suguru Endo
exaly  

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