Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Seiss, Matthias"'
Autor:
Radulescu, Ovidiu, Grigoriev, Dima, Seiss, Matthias, Douaihy, Maria, Lagha, Mounia, Bertrand, Edouard
In many fields, including biology, medicine, physics, chemistry, economy and actuarial science, data can be represented as the time-to-event of a finite state Markov chain model. The distribution of time intervals between successive recorded events i
Externí odkaz:
http://arxiv.org/abs/2311.03593
Autor:
Seiler, Werner M., Seiss, Matthias
We propose a geometric approach for the numerical integration of singular initial value problems for (systems of) quasi-linear differential equations. It transforms the original problem into the problem of computing the unstable manifold at a station
Externí odkaz:
http://arxiv.org/abs/2301.01041
Autor:
Desoeuvres, Aurélien, Iosif, Alexandru, Lüders, Christoph, Radulescu, Ovidiu, Rahkooy, Hamid, Seiß, Matthias, Sturm, Thomas
For polynomial ODE models, we introduce and discuss the concepts of exact and approximate conservation laws, which are the first integrals of the full and truncated sets of ODEs. For fast-slow systems, truncated ODEs describe the fast dynamics. We de
Externí odkaz:
http://arxiv.org/abs/2212.14881
Autor:
Desoeuvres, Aurélien, Iosif, Alexandru, Lüders, Christoph, Radulescu, Ovidiu, Rahkooy, Hamid, Seiß, Matthias, Sturm, Thomas
Model reduction of fast-slow chemical reaction networks based on the quasi-steady state approximation fails when the fast subsystem has first integrals. We call these first integrals approximate conservation laws. In order to define fast subsystems a
Externí odkaz:
http://arxiv.org/abs/2212.13474
Autor:
Robertz, Daniel, Seiss, Matthias
Let $G$ be a classical group of dimension $d$ and let $\boldsymbol{a}=(a_1,\dots,a_d)$ be differential indeterminates over a differential field $F$ of characteristic zero with algebraically closed field of constants $C$. Further let $A(\boldsymbol{a}
Externí odkaz:
http://arxiv.org/abs/2204.06494
Autor:
Seiler, Werner M., Seiß, Matthias
Publikováno v:
In Applied Mathematics and Computation 1 April 2024 466
Autor:
Seiss, Matthias
Let $G$ be one of the classical groups of Lie rank $l$. We make a similar construction of a general extension field in differential Galois theory for $G$ as E. Noether did in classical Galois theory for finite groups. More precisely, we build a diffe
Externí odkaz:
http://arxiv.org/abs/2008.12081
We discuss how the geometric theory of differential equations can be used for the numerical integration and visualisation of implicit ordinary differential equations, in particular around singularities of the equation. The Vessiot theory automaticall
Externí odkaz:
http://arxiv.org/abs/2003.00881
Publikováno v:
Math. Comput. Sci., 15(2):333-352, Jun 2021
We discuss the effective computation of geometric singularities of implicit ordinary differential equations over the real numbers using methods from logic. Via the Vessiot theory of differential equations, geometric singularities can be characterised
Externí odkaz:
http://arxiv.org/abs/2003.00740
There exists a well established differential topological theory of singularities of ordinary differential equations. It has mainly studied scalar equations of low order. We propose an extension of the key concepts to arbitrary systems of ordinary or
Externí odkaz:
http://arxiv.org/abs/2002.11597