05299nam a22006255i 4500 978-3-031-69706-7 DE-He213 20251030113304.0 cr nn 008mamaa 241109s2024 sz | s |||| 0|eng d 9783031697067 978-3-031-69706-7 10.1007/978-3-031-69706-7 doi QA299.6-433 PBK bicssc MAT034000 bisacsh PBK thema Applied Mathematical Analysis and Computations I [electronic resource] : 1st SGMC, Statesboro, USA, April 2–3, 2021 (Virtual) / edited by Divine Wanduku, Shijun Zheng, Haomin Zhou, Zhan Chen, Andrew Sills, Ephraim Agyingi. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XII, 399 p. 57 illus., 32 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Springer Proceedings in Mathematics & Statistics, 2194-1017 ; 471 Characterization of Carleson measures via spectral estimates on compact manifolds with boundary -- Perturbed Fourier transform associated with Schrodinger Operators -- Explicit lump and line rogue wave solutions to a modified Hietarinta equation -- Applying the maximum entropy technique to the Gaussian dispersion plume model -- Time Asymptotic Behavior of Solutions to a Chemotaxis Model with Logarithmic Singularity -- Classical solution to an interfacial flow with kinetic undercooling in a time-dependent gap Hele-Shaw cell -- Divisibility arising from addition -- Using words to construct and enumerate maximum nonattacking chessboard arrangements -- A Refinement of the Multinomial Distribution with Application -- The Generalized Laws of Total Variance and Total Covariance -- Ansatz in a Nutshell: A comprehensive step-by-step guide to polynomial, C-finite, holonomic, and C2-finite sequences -- The Exponentiated Half Logistic- Weibull Topp Leone-G Family of Distributions -- Statistical analysis of a new Markov chain model for rumor dynamics in heterogeneous complex social networks -- Dynamics of Amensalism, Mutualism, and Predation in a Three Species Complex Ecosystem. This volume convenes selected, peer-reviewed research and survey articles that address the modern state-of-the-art in varied areas of applied mathematical analysis. They primarily include presentations as well as invited contributions for the 1st Southern Georgia Mathematics Conference (SGMC) that was virtually held on April 2—3, 2021 at the Georgia Southern University, Statesboro, USA. Papers in this volume incorporate both advanced theory and methods from mathematical analysis, and cover myriad topics like imaging and inverse problems, evolutionary PDEs, symbolic computation, dynamics and data analysis, data science, computational mathematics, and more. These studies and findings here contained will be of interest to researchers and graduate students working in the fields of mathematical analysis, modeling, data analysis and computation, with applications in many interdisciplinary applied sciences, as in statistics, physics, biology, and medical imaging, with interest at the forefront of applied mathematical and statistical analysis, as well as data science and other computational science disciplines. In its first edition, the Southern Georgia Mathematics Conference brought together 74 speakers from 70 different institutions, from the USA, Canada, Austria, and Botswana. Attendees included faculty, researchers, experts, graduate and undergraduate students from all over the world. Mathematical analysis. 64178 Mathematical physics. Biomathematics. 70325 Computer science Mathematics. 64041 Analysis. Mathematical Physics. Mathematical and Computational Biology. 70327 Symbolic and Algebraic Manipulation. Wanduku, Divine. editor. edt http://id.loc.gov/vocabulary/relators/edt 87217 Zheng, Shijun. editor. edt http://id.loc.gov/vocabulary/relators/edt 87218 Zhou, Haomin. editor. edt http://id.loc.gov/vocabulary/relators/edt 87219 Chen, Zhan. editor. edt http://id.loc.gov/vocabulary/relators/edt 87220 Sills, Andrew. editor. edt http://id.loc.gov/vocabulary/relators/edt 87221 Agyingi, Ephraim. editor. edt http://id.loc.gov/vocabulary/relators/edt 87222 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031697050 Printed edition: 9783031697074 Printed edition: 9783031697081 Springer Proceedings in Mathematics & Statistics, 2194-1017 ; 471 72341 https://doi.org/10.1007/978-3-031-69706-7 ZDB-2-SMA ZDB-2-SXMS 64816 64816