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Author Association for Women in Mathematics (U.S.). Research Symposium (5th : 2019 : Houston, Tex.)

Title Advances in mathematical sciences : AWM Research Symposium, Houston, TX, April 2019 / Bahar Acu, Donatella Danielli, Marta Lewicka, Arati Pati, Saraswathy RV, Miranda Teboh-Ewungkem, editors
Published Cham : Springer, 2020
©2020

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Description 1 online resource (xiii, 369 pages)
Series Association for women in mathematics series, 2364-5733 ; v. 21
Association for Women in Mathematics Series ; v. 21.
Contents Intro -- Preface -- About the 2019 AWM Research Symposium -- About This Volume -- Acknowledgments -- Contents -- Part I From the Plenary Talks -- Finite Element Methods for Elliptic Distributed Optimal Control Problems with Pointwise State Constraints (Survey) -- 1 Model Problem -- 2 Finite Element Methods -- 2.1 Conforming Methods -- 2.2 Classical Nonconforming Methods -- 2.3 Discontinuous Galerkin Methods -- 2.4 Mixed Methods -- 2.5 Finite Element Methods for the Optimal Control Problem -- 3 Convergence Analysis -- 4 Concluding Remarks -- References
2 Main Tools -- 3 Counting Special Elements: An Example -- 4 Counting an Element's Special Features: An Example -- 5 Directions for Future Research -- References -- Part III Algebraic Biology -- From Chaos to Permanence Using Control Theory (Research) -- 1 Introduction -- 2 Survival and Chaos -- 3 The Chaotic Control Algorithm (CCA) -- 4 Applications of the CCA to Predator-Prey Models -- 4.1 Control Through Harvesting in a Predator-Prey Model -- 4.1.1 Boundedness of the Solutions -- 4.1.2 The Harvesting Model -- 4.1.3 Application of CCA SKCP
4.2 Control Through Harvesting in a Food-Chain System -- 4.2.1 Equilibrium Analysis SKCP -- 4.2.2 Conditions for Permanence -- 4.2.3 Control Algorithm Using Harvesting SKCP -- 5 Conclusions -- 6 MATLAB Code to Determine Permanence Using Boundary Rest Points SKCP -- References -- Classification on Large Networks: A Quantitative Bound via Motifs and Graphons (Research) -- 1 Introduction -- 1.1 Contributions -- 1.2 Related Literature -- 1.3 Organization -- 2 Background -- 2.1 Decorated graphons -- 2.2 Spectra and Wasserstein Distances -- 3 Graphons for Classification: Main Results
Summary This volume highlights the mathematical research presented at the 2019 Association for Women in Mathematics (AWM) Research Symposium held at Rice University, April 6-7, 2019. The symposium showcased research from women across the mathematical sciences working in academia, government, and industry, as well as featured women across the career spectrum: undergraduates, graduate students, postdocs, and professionals. The book is divided into eight parts, opening with a plenary talk and followed by a combination of research paper contributions and survey papers in the different areas of mathematics represented at the symposium: algebraic combinatorics and graph theory algebraic biology commutative algebra analysis, probability, and PDEs topology applied mathematics mathematics education
Subject Mathematics -- Congresses
Biomathematics -- Congresses
Mathematical statistics -- Congresses
Combinatorics & graph theory.
Numerical analysis.
Algebra.
Topology.
Mathematics.
Mathematics -- Combinatorics.
Mathematics -- Graphic Methods.
Mathematics -- Number Systems.
Mathematics -- Algebra -- Abstract.
Mathematics -- Topology.
Mathematics -- General.
Matemáticas -- Lógica combinatoria
Estadística matemática
Biomathematics
Mathematical statistics
Mathematics
Genre/Form Electronic books
proceedings (reports)
Conference papers and proceedings
Conference papers and proceedings.
Actes de congrès.
Form Electronic book
Author Acu, Bahar, editor
Danielli, Donatella, 1966- editor.
Lewicka, Marta, editor
Pati, Arati, editor
Saraswathy RV, editor
Teboh-Ewungkem, Miranda, editor
ISBN 9783030426873
3030426874