Results 1 to 10 of about 387,114 (225)
Kernel Ordinary Differential Equations. [PDF]
J Am Stat Assoc, 2022 Ordinary differential equation (ODE) is widely used in modeling biological and physical processes in science. In this article, we propose a new reproducing kernel-based approach for estimation and inference of ODE given noisy observations. We do not assume the functional forms in ODE to be known, or restrict them to be linear or additive, and we allow ...
Dai X, Li L.
europepmc +9 more sources
Ordinary differential equations and their exponentials [PDF]
Open Mathematics, 2006 Abstract In the context of Synthetic Differential Geometry, we discuss vector fields/ordinary differential equations as actions; in particular, we exploit function space formation (exponential spaces) in the category of actions.
Kock Anders, Reyes Gonzalo
doaj +5 more sources
Generalized ordinary differential equations [PDF]
Czechoslovak Mathematical Journal, 1958 Jaroslav Kurzweil
openaire +4 more sources
On classical symmetries of ordinary differential equations related to stationary integrable partial differential equations [PDF]
Opuscula Mathematica, 2021 We study the relationship between the solutions of stationary integrable partial and ordinary differential equations and coefficients of the second-order ordinary differential equations invariant with respect to one-parameter Lie group.
Ivan Tsyfra
doaj +1 more source
Ordinary Differential Equations [PDF]
, 2021 AbstractIn this chapter, we discuss a first application of the time derivative operator constructed in the previous chapter. More precisely, we analyse well-posedness of ordinary differential equations and will at the same time provide a Hilbert space proof of the classical Picard–Lindelöf theorem (There are different notions for this theorem.
Christian Seifert +2 more
openaire +3 more sources
Elastic transformation method for solving ordinary differential equations with variable coefficients
AIMS Mathematics, 2022 Aiming at the problem of solving nonlinear ordinary differential equations with variable coefficients, this paper introduces the elastic transformation method into the process of solving ordinary differential equations for the first time.
Pengshe Zheng +3 more
doaj +1 more source
Mendel, 2022 This paper examines the implementation of simple combination mutation of differential evolution algorithm for solving stiff ordinary differential equations.
Werry Febrianti +2 more
doaj +1 more source
A Universal Ordinary Differential Equation [PDF]
Logical Methods in Computer Science, 2020 An astonishing fact was established by Lee A. Rubel (1981): there exists a fixed non-trivial fourth-order polynomial differential algebraic equation (DAE) such that for any positive continuous function $\varphi$ on the reals, and for any positive continuous function $\epsilon(t)$, it has a $\mathcal{C}^\infty$ solution with $| y(t) - \varphi(t) | & ...
Bournez, Olivier, Pouly, Amaury
openaire +8 more sources
Solving Ordinary Differential Equations With Adaptive Differential Evolution
IEEE Access, 2020 Solving ordinary differential equations (ODEs) is vital in diverse fields. However, it is difficult to obtain the exact analytical solutions of ODEs due to their changeable mathematical forms.
Zijia Zhang, Yaoming Cai, Dongfang Zhang
doaj +1 more source
AIMS Mathematics, 2022 Aiming at the initial value problems of variable coefficient nonlinear ordinary differential equations, this paper introduces the elastic transformation method into the process of solving the initial value problems of nonlinear ordinary differential ...
Lin Fan +5 more
doaj +1 more source