Wong–Zakai approximations for quasilinear systems of Itô’s type stochastic differential equations

Lanconelli, Alberto; Scorolli, Ramiro

doi:10.1016/j.spa.2021.07.007

Cited by 5 publications

(2 citation statements)

References 5 publications

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“…In [21], the authors demonstrated the Wong-Zakai approximation to 1D parabolic nonlinear SPDEs driven by space-time white noise. In addition, the Wong-Zakai approximation of various physical models can be found in [5,13,25,29,35,38,59], etc. and their references.…”

Section: Introductionmentioning

confidence: 99%

Impact of restructuring resources and services and their utilization in IIT Roorkee library, India

Kumar

Gupta

2023

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PurposeThis paper examines the impact of restructuring on the usage of resources and services in the Indian Institute of Technology library, Roorkee. Library users were approached to know their preferences between an electronic and traditional resources and services. Additionally, the study focused to know the extent of change in users' awareness, dependency, usage, frequency and satisfaction from library resources and services after restructuring these due to the availability of abundance of e-resources.Design/methodology/approachThe study adopted survey-based research design, for which a questionnaire was used as the principal instrument for data collection. This questionnaire was distributed to the library users when they physically visited the library. Notably, all the questionnaires distributed were returned, yielding thereby a cent percent response rate. One questionnaire was administrative on the librarian for getting the data regarding the changes made in the subscription of e-resources and services. The collected data were further analyzed with appropriate statistical techniques of Statistical Package for Social Sciences (SPSS) as chi-square test, mean and standard deviation.FindingsThe results showed that the use of both restructured resources and services had increased, and was found to be helpful for users. Also, the users' dependency on library had increased, showing thereby an upward trend for usage in the future. However, although the users’ awareness, usage and frequency of e-resources and ICT-based services have positively changed, and partially been satisfied, the study suggests that further revision is needed for further strengthening e-resources and services as per user's needs satisfaction.Practical implicationsThis study would create interest in rethinking library resources and services among librarians that tend to respond positively to user satisfaction and library functions; it also provides a strategic position of a library per se for its users in the future. Importantly, the assessment of the usage of restructuring resources and services, vis-a-vis their impact on users, may also serve as a key tool, which possibly could be applied to both public libraries and other types of higher education libraries.Originality/valueMany libraries find it difficult to balance between electronic and printed materials, especially in the fields of science and technology, due to the preferences of the users. Thus far, there have not been too many studies that have looked to assess restructuring of library resources and services, vis-a-vis their impact on library users. Therefore, the results of this study would provide a clear understanding to the library profession as to how users use e-resources and services in the digital age, and how much they are actually influenced by these.

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Section: Introductionmentioning

confidence: 99%

Impact of restructuring resources and services and their utilization in IIT Roorkee library, India

Kumar

Gupta

2023

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“…The authors in [15] proved Wong-Zakai approximation for 1D parabolic nonlinear SPDEs driven by space-time white noise. Wong-Zakai approximation for several fluid dynamics models and a class of stochastic partial differential equations (SPDEs) is available in [3,21,23,26,46], etc. and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Wong-Zakai approximation and support theorem for 2D and 3D stochastic convective Brinkman-Forchheimer equations

Kinra¹,

Mohan²

2022

Preprint

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In this work, we demonstrate the Wong-Zakai approximation results for two and three dimensional stochastic convective Brinkman-Forchheimer (SCBF) equations forced by Hilbert space valued Wiener noise on bounded domains. Even though the existence and uniqueness of a pathwise strong solution to SCBF equations is known, the existence of a unique solution to the approximating system is not immediate from the solvability results of SCBF equations, and we prove it by using Faedo-Galerkin approximation technique and monotonicity arguments. Moreover, as an application of the Wong-Zakai approximation, we obtain the support of the distribution of solutions to SCBF equations.

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Wong–Zakai Approximation for a Class of SPDEs with Fully Local Monotone Coefficients and Its Application

Kumar,

Kinra,

Mohan

2024

J. Math. Fluid Mech.

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Wong–Zakai approximations for quasilinear systems of Itô’s type stochastic differential equations

Cited by 5 publications

References 5 publications

Impact of restructuring resources and services and their utilization in IIT Roorkee library, India

Impact of restructuring resources and services and their utilization in IIT Roorkee library, India

Wong-Zakai approximation and support theorem for 2D and 3D stochastic convective Brinkman-Forchheimer equations

Wong–Zakai Approximation for a Class of SPDEs with Fully Local Monotone Coefficients and Its Application

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