05086nam a22005775i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001600172072001600188072002300204072001500227245023200242250001800474264006900492300006500561336002600626337002600652338003600678347002400714490007200738505118900810520141001999650003403409650002603443650002703469650004203496650001403538650002603552650005103578650004103629700008503670700008303755700008203838700008003920700008304000700008604083710003404169773002604203776003604229776003604265776003604301830007904337856004604416912001404462912001504476999001704491978-3-031-69706-7DE-He21320251030113304.0cr nn 008mamaa241109s2024    sz |    s    |||| 0|eng d  a97830316970679978-3-031-69706-77 a10.1007/978-3-031-69706-72doi 4aQA299.6-433 7aPBK2bicssc 7aMAT0340002bisacsh 7aPBK2thema10aApplied Mathematical Analysis and Computations Ih[electronic resource] :b1st SGMC, Statesboro, USA, April 2–3, 2021 (Virtual) /cedited by Divine Wanduku, Shijun Zheng, Haomin Zhou, Zhan Chen, Andrew Sills, Ephraim Agyingi.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXII, 399 p. 57 illus., 32 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aSpringer Proceedings in Mathematics & Statistics,x2194-1017 ;v4710 aCharacterization 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.  aThis 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. 0aMathematical analysis.964178 0aMathematical physics. 0aBiomathematics.970325 0aComputer sciencexMathematics.96404114aAnalysis.24aMathematical Physics.24aMathematical and Computational Biology.97032724aSymbolic and Algebraic Manipulation.1 aWanduku, Divine.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt9872171 aZheng, Shijun.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt9872181 aZhou, Haomin.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt9872191 aChen, Zhan.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt9872201 aSills, Andrew.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt9872211 aAgyingi, Ephraim.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt9872222 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303169705008iPrinted edition:z978303169707408iPrinted edition:z9783031697081 0aSpringer Proceedings in Mathematics & Statistics,x2194-1017 ;v47197234140uhttps://doi.org/10.1007/978-3-031-69706-7  aZDB-2-SMA  aZDB-2-SXMS  c64816d64816