On the discretization of Darboux Integrable Systems [PDF]
arXiv, 2019 We study the discretization of Darboux integrable systems. The discretization is done using $x$-, $y$-integrals of the considered continuous systems. New examples of semi-discrete Darboux integrable systems are obtained.
arxiv
Continuous In-Stream Temperature Modeling: Integration with a Physically- Based Subwatershed Hydrology Model [PDF]
, 1996 Harold Schroeter +3 more
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On solvability of a partial integral equation in the space ${L_2(Ω\timesΩ)}$ [PDF]
arXiv, 2008 In this paper we investigate solvability of a partial integral equation in the space $L_2(\Omega\times\Omega),$ where $\Omega=[a,b]^\nu.$ We define a determinant for the partial integral equation as a continuous function on $\Omega$ and for a continuous kernels of the partial integral equation we give explicit description of the solution.
arxiv
Continuous simulation of air base assets (CSAA)---“integrating logistics support operations”---a proposed methodology [PDF]
, 1997 S. R. Parker, Patrick Williams
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Weighted Orthogonal Polynomials-Based Generalization of Wirtinger-Type Integral Inequalities for Delayed Continuous-Time Systems [PDF]
arXiv, 2015 In the past three years, many researchers have proven and/or employed some Wirtinger-type integral inequalities to establish less conservative stability criteria for delayed continu\-ous-time systems. In this present paper, we will investigate weighted orthogonal polynomials-based integral inequalities which is a generalization of the existing Jensen's
arxiv
Rough Path Analysis Via Fractional Calculus [PDF]
arXiv, 2006 Using fractional calculus we define integrals of the form $% \int_{a}^{b}f(x_{t})dy_{t}$, where $x$ and $y$ are vector-valued H\"{o}lder continuous functions of order $\displaystyle \beta \in (\frac13, \frac12)$ and $f$ is a continuously differentiable function such that $f'$ is $\lambda$-H\"oldr continuous for some $\lambda>\frac1\beta-2$.
arxiv
Exactly integrable models of the wave interaction with continuous spectrum [PDF]
, 2001 В. Ф. Журавлев
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Bilateral discrete and continuous orthogonality relations in the $q^{-1}$-symmetric Askey scheme [PDF]
arXivIn the $q^{-1}$-symmetric Askey scheme, namely the $q^{-1}$-Askey--Wilson, continuous dual $q^{-1}$-Hahn, $q^{-1}$-Al-Salam--Chihara, continuous big $q^{-1}$-Hermite and continuous $q^{-1}$-Hermite polynomials, we compute bilateral discrete and continuous orthogonality relations.
arxiv
Fail Fast - Fail Often: Enhancing Agile Methodology using Dynamic Regression, Code Bisector and Code Quality in Continuous Integration (CI) [PDF]
arXiv, 2015 Agile practices are receiving considerable attention from industry as an alternative to traditional software development approaches. However, there are a number of challenges in combining Agile [2] with Test-driven development (TDD) [10] practices, cloud deployments, continuous integration (CI), non-stop performance, load, security and accessibly ...
arxiv
Continuous-time computation with restricted integration capabilities [PDF]
, 2003 Manuel L. Campagnolo
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