Paperback
Format: Paperback / softback, 719 pages, height x width: 235x155 mm, 117 Illustrations, color; 80 Illustrations,
black and white; IX, 719 p. 197 illus., 117 illus. in color., 1
Series: Springer Proceedings in Mathematics & Statistics 415
Pub. Date: 17-Mar-2024
ISBN-13: 9789811993091
This book comprises select peer-reviewed articles submitted for the proceedings of the International Conference on Mathematics and Computing (ICMC 2022), held by the School of Advanced Sciences, Vellore Institute of Technology, Vellore, India, in association with Ramanujan Mathematical Society, India, Cryptology Research Society of India and Society for Electronic Transactions and Security, India, from 68 January 2022. With an aim to identify the existing challenges in the areas of mathematics and computing, the book emphasizes the importance of establishing new methods and algorithms to address these challenges.
The book includes topics on diverse applications of cryptology, network security, cyber security, block chain, IoT, mobile network, data analytics, applied algebra, mathematical analysis, mathematical modelling, fluid dynamics, fractional calculus, multi-optimization, integral equations, dynamical systems, numerical analysis and scientific computing. Dividedinto five major partsapplied algebra and analysis, fractional calculus and integral equations, mathematical modelling and fluid dynamics, numerical analysis, and computer science and applicationsthe book is a useful resource for students, researchers and faculty as well as practitioners.
PART 1: APPLIED ALGEBRA AND ANALYSIS: S. Krishnan and K. Shunmugaiah, On the Genus of the Annihilator-Ideal Graph of Commutative Ring.- Niranjan P.K.,
The Radio $k$-Chromatic Number for the Corona of Arbitrary Graph and $K_1$.-Latha Devi Puli and Manjula K., Some Parameters of Restricted Super Line
Graphs.- G. Ganesan, Edge Constrained Eulerian Extensions.- C. Phanjoubam and S. Mawiong, Bounds of Some Energy-Like Invariants of Neigbourhood Corona of
Graphs.- M. Kumar, Neelesh S. Upadhye, and A.K.B. Chand, Linear Recurrent Fractal Interpolation Function for Data Set with Gaussian Noise.- V. Vijay
and A.K.B. Chand, $C^1$-Rational Quadratic Trigonometric Spline Fractal Interpolation Functions.- P. Rajan, A. K. Bedabrata Chand and Mar?a A.
Navascues, Cyclic Multivalued Iterated Function Systems.- E. Savas, On Almost Convergence and Statistical Convergence of Weight g.- Tamilarasi W. and
Balamurugan B.J., Non-Neighbor Topological Indices on Covid-19 Drugs with Qspr Analysis.- Tejuswini M.and Shilpa N., Some Results on Differential
Polynomials of Meromorphic Functions Sharing Certain Values.- G. Murugusundaramoorthy, Thomas Rosy, and Asha Thomas, A Subclass of Pseudo-Type
Meromorphic Bi-Univalent Functions of Complex Order Associated with Linear Operator.- Malathi V. and Vijaya K., Bi-Starlike Function of Complex Order
based on Double Zeta Functions Associated with Crescent Shaped Region.- G. Bisht and S. Kumar, Fuzzy Rule based Expert System for Multi Assets Portfolio
Optimization.- B. Ganesan and M. Annamala, Stability Analysis of Additive Time Varying T-S Fuzzy System using Augmented Lyapunov Functional.- PART 2:
FRACTIONAL CALCULUS AND INTEGRAL EQUATIONS: R. Teppawar, R. Ingle and R. Muneshwar, Solution of Fractional Differential Equations by using Conformable
Fractional Differential Transform Method with Adomain Polynomials.- R. Muneshwar, K. Bondar, Y. Shirole, and V. Mathpati, Generalized results on
Existence and Uniqueness with Wronskian and Abel Formula for -Fractional Differential Equations.- D. Karunarathna and M. Dewasurendra, Method of
Directly Defining the Inverse Mapping for Nonlinear Ordinary and Partial Fractional Order Differential Equations.- M. Latha Maheswari and R. Nandhini,
Existence Results for Nonlocal Impulsive Fractional Neutral Functional Integro-Differential Equations with Bounded Delay.- G Tamil Preethi, N. B.
Gatti, and N. Magesh, An Application of Conformable Fractional Differential Transform Method for Smoking Epidemic Model.- K. Sarkar and B. Mondal,
Analysis of a Fractional Order Predator-Prey Model with Nonlinear Harvesting.- Rahul and N. K. Mahato, Solvability of Infinite System of
Volterra Integral Equations in the Tempered Spaces.- S.V. Babar and S.G. Latpate, On Generalizations of Integral Inequalities and Its Applications.-
PART 3: MATHEMATICAL MODELLING AND FLUID DYNAMICS: B. Belay and A. Abebaw, Optimizing Multi-Objective Chance Constraint Quadratic Fractional Programming
Problem.- S. Khatri and A. Prasad, Higher-Order Variational Symmetric Duality Over Cone Constraint.- S. Pal and D. Chutia, On Generalized Energy Inequality
of the Damped NavierStokes Equations with NavierSlip Boundary Conditions.- S. Sangapatnam, S. Ketineni, B. Anki R. Polu, and R. ul Haq Satti, The
Diathermic Oils over a Thin Liquid Film with Mos2 Nano Particles: A Model with Analysis of Shape Factor Effects.- B. Sarkar and Soumen De, Dissipation
of Wave Energy by Thin Multiple Partially Immersed Vertical Porous Walls in Water of Uniform Finite Depth.- A. Adhe and A. Kirtiwant Ghadle, Thermal
Stress Analysis of Inhomogeneous Infinite Solid to 2D Elasticity of Thermoelastic Problems.- M. Udupa and S. Saha, Study of Non-Newtonian Models
for 1D Blood Flow through a Stenosed Carotid Artery.- M. Nagavalli, T. Ling Raju, and P. K. Kameswaran, Two-Layered Fluid Flow of Ionized Gases in a
Channel between Two Parallel Porous Plates under Applied Magnetic Field with Hall Effect.- S. Rao Gunakala, V. Job, and J. Veronique, Influence of Heat
Transfer, Chemical Reaction and Variable Fluid Properties on Oscillatory MHD Couette Flow through a Partially-Porous Channel.- I. Ramarao, P. N
Basavaraju, and Jagadeesha S., Effect of Heat Transfer on Peristaltic Transport of Prandtl Fluid in an Inclined Porous Channel.- A. Kumar Das and
S. C. Rana, Comparative Analysis of Flow in S-Diffusers using Standard K-, Realizable K- and Renormalized Group K- Models.- N. Lakhmara and H. S.
Mahato, A Multiscale Model of StokesCahnHilliard Equations in a Porous Medium: Modeling Analysis and Homegenization.- A. Samanta, Water Wave
Scattering by a Wide Rectangular Impediment with a Vent Placed under a Finite Depth Water Body with Ice Covered Surface.- P. Kumar and Dipesh, Sensitivity
and Directional Analysis of Two Mutually Competing Plant Population under Allelopathy using DDE.- N. Ghosh and H. S. Mahato, Pore Scale Analysis and
Homogenization of a DiffusionReactionDissolutionPrecipitation Model.- R. Saha, C. Benitez, K. Cimbalista, J. Pek, and Padmanabhan Seshaiye,
Mathematical Modeling and Computing to Study the Influence of Quarantine Levels and Common Mitigation Strategies on the Spread of Covid-19 on a Higher
Education Campus.- PART 4: NUMERICAL ANALYSIS: S. Patel, L. Panigrahi, and G. Nelakanti, Numerical Solution of the Fredholm Integral Equations of the First
Kind by using Multi-Projection Methods.- A. Kumar and S. Kumari, Local Convergence of a Family of Kurchatov Like Methods for Nonlinear Equations.-
S. Tomar and K. Vajravelu, An Effective Scheme for Solving Second-Order Two-Point Boundary Value Problems.- M. M. Ayub Hossain and B. M. Ikramul
Haque, An Analytic Solution for the HelmholtzDuffing Oscillator by Modified Mickens Extended Iteration Procedure.- K. Takale and V. Sangvikar, C.
Nicolson, Finite Difference Scheme for TimeSpace Fractional Diffusion Equation.- N. C. Bhagat and P. K. Parida, Gauss-NewtonKurchatov Method for
the Solution of Nonlinear Least Square Problem using Omega Condition.- P.K. Parida and S. Nisha, An Exponential Bisection Newton-Like Method of
Third-Order for Enclosing Simple Roots of Nonlinear Equations.- PART 5: COMPUTER SCIENCE AND APPLICATION: S. Karanwal, Color Multiscale Block-ZigZag
LBP: An Efficient and Discriminant Face Descriptor.- A. Dhiman, Effect of Noise in the Quantum Network Implementation of Cop and Robber Game.- P.
Singh, N. Bhandari, N. Bisht, and S. Bisht, Design of Energy Efficient IoMT Electrocardiogram Machine on 28 nm FPGA.- Study of Decoherence in Quantum
Cournot Duopoly Game using Modified EWL Scheme.
Format: Hardback, 190 pages, height x width: 240x168 mm, 1 Illustrations, color; 79 Illustrations, black and white; Approx. 175 p., 1 Hardback
Series: Synthesis Lectures on Mathematics & Statistics
Pub. Date: 30-Aug-2024
ISBN-13: 9783031622564
This book is focused on modeling with linear differential equations with constant coefficients. The author starts with the elementary natural growth equation and ends with the heat equation on the real line. The emphasis is on linear algebra, Fourier theory, and specifically data analysis, which is given a very prominent role and is often the book's main driving force. All aspects of modeling with linear differential equations are illustrated by analyzing real and simulated data in MATLABR. These modeling case studies are of particular interest to students who anticipate having to use differential equations in their fields. The book is self-contained and is appropriate as a supplement for a first course in differential equations whose prerequisites include proficiency in multivariate calculus and MATLAB literacy.
The Cooling of a Light Bulb.- Usain Bolts Record.- The RC circuit.- Ion
Channels.- Cart on a Track.- RLC circuit Resonance.- Tides.- RLC circuit
Driven by a Square Wave.- A Train of Carts.- A Quarter Car Model.- Vibration
Absorber.- Design of a Low Pass Filter.- Programming a Thermostat.- Balancing
a Pendulum.
Format: Paperback / softback, 148 pages, height x width: 235x155 mm, 20 Illustrations, black and white; XIV, 148 p. 20 illus.,
Series: SpringerBriefs in Mathematics
Pub. Date: 15-Aug-2024
ISBN-13: 9789819739837
This book are notes prepared for the PhD courses that the author has been teaching during the last 10 years. The material available in the already existing literature (papers and essays) has been collected in this unique text, presenting the results with all the details for the readers convenience, fixing a unified notation, and providing a consistent framework for the subject. These notes cover many of the arguments that usually can be found in high level essays, where the proofs are simply sketched, and in papers, which are not easily available and not always self-contained. This book is intended for1. PhD students in Mathematics, Physics and Mechanical Engineering in order to learn the basic features of nonlinear scalar equations,2. researchers interested in nonlinear hyperbolic PDEs in order to learn the details behind some known and deep results on nonlinear scalar equations,3. teachers of courses on nonlinear PDEs.The readers are expected to know the basic measure theory and Sobolev spaces.
Chapter 1 Introduction.
Chapter 2 Entropy Solutions.
Chapter 3 Riemann Problem.
Chapter 4 Functions with Bounded Variation.
Chapter 5 Wave Front Tracking.
Chapter 6 Vanishing Viscosity.
Chapter 7 Compensated Compactness.
Chapter 8 Periodic solutions.-
Chapter 9 Oleinik Estimate.-
Chapter 10 Lax-Oleinik Formula.
Format: Hardback, 186 pages, height x width: 235x155 mm, 53 Illustrations, color; 15 Illustrations, black and white; XI, 186 p. 68 illus., 53 illus. in color.,
Series: Trends in Mathematics
Pub. Date: 26-Aug-2024
ISBN-13: 9783031595905
This contributed volume collects papers presented during a special session on integral methods in science and engineering at the 2023 International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE), held in Cadiz, Spain from July 3-8, 2023. Covering the applications of integral methods to scientific developments in a variety of fields, the chapters in this volume are written by well-known researchers in their respective disciplines and present new results in both pure and applied mathematics. Each chapter shares a common methodology based on a combination of analytic and computational tools, an approach that makes this collection a valuable, multidisciplinary reference on how mathematics can be applied to various real-world processes and phenomena.
On Spectroscopy of Sampled Signals Using the Hilbert Transform
(Bodmann).- Approximation of Solution for Bending of an Elastic Plate:
Interior vs Exterior Cases (Constanda).- A PDE method for modelling the soil
temperature of cropfields with data fromWireless Sensor Networks
(Fresneda-Portillo).- Extreme cases in boundary homogenization for the linear
elasticity system (Perez-Martinez).- A Model of the Spread of a Disease
Through a Population With Different Age Groups (Harris).- A survey on the
boundary behavior of the double layer potential in Schauder spaces in the
frame of an abstract approach (Cristoforis).- The Dirichlet Problem on Rough
Domains and Herz Spaces (Mitrea).- Analytical Solution of Slug Low
SalinityWaterflooding (Pires).- PN synthetic acceleration for the source
iteration scheme in slab-geometry discrete ordinates transport calculations
(Barros).- Dynamic iteration error analysis (Zubik-Kowal).
Format: Hardback, 960 pages, height x width: 235x155 mm, XVI, 960 p.,
Series: Science Networks. Historical Studies 63
Pub. Date: 02-Jul-2024
ISBN-13: 9783031597961
This volume brings together scholars across various domains of the history and philosophy of mathematics, investigating duality as a multi-faceted phenomenon. Encompassing both systematic analysis and historical examination, the book endeavors to elucidate the status, roles, and dynamics of duality within the realms of 19th and 20th-century mathematics. Eschewing a priori notions, the contributors embrace the diverse interpretations and manifestations of duality, thus presenting a nuanced and comprehensive perspective on this intricate subject.
Spanning a broad spectrum of mathematical topics and historical periods, the book uses detailed case studies to investigate the different forms in which duality appeared and still appears in mathematics, to study their respective histories, and to analyze interactions between the different forms of duality. The chapters inquire into questions such as the contextual occurrences of duality in mathematics, the influence of chosen forms of representation, the impact of investigations of duality on mathematical practices, and the historical interconnections among various instances of duality. Together, they aim to answer a core question: Is there such a thing as duality in mathematics, or are there just several things called by the same name and similar in some respect? What emerges is that duality can be considered as a basic structure of mathematical thinking, thereby opening new horizons for the research on the history and the philosophy of mathematics and the reflection on mathematics in general.
The volume will appeal not only to experts in the discipline but also to advanced students of mathematics, history, and philosophy intrigued by the complexities of this captivating subject matter.
Preface.
Chapter 1. Ralf Kromer, Emmylou Haffner: Introduction.- Part I. The 19th century heritage.
Chapter 2. Michael Friedman: On contour apparent, courbe de contact and ramification curves: Duality between a principle and a tool.
Chapter 3. Juan Luis Gastaldi: De Morgans De Morgans Laws: Duality in the Emergence of Formal Logic.
Chapter 4. Dirk Schlimm: The emergence of duality in 19th-century algebra of logic.
Chapter 5. Emmylou Haffner: Duality as a guiding light in the genesis of Dedekinds Dualgruppen.
Chapter 6. Erhard Scholz: From Grassmann complements to Hodge-duality.- Part II. From topology to groups.
Chapter 7. Stephan Oltmanns, Ralf Kromer, Klaus Volkert: Duality theorems in topology.
Chapter 8. Ralf Kromer: The historical development of Pontrjagin duality.
Chapter 9. Harald Kummerle: Tannaka Tadaos 1938 paper on the duality of noncommutative topological groups and its historical background.
Chapter 10. Christophe Eckes: Philosophical and mathematical duality in Albert Lautmans work.- Part III. Functional analysis and related fields.
Chapter 11. Alessa Waldvogel: The development of dual spaces in functional analysis.
Chapter 12. Frederic Ja?ck: Duality in Banachs 1929 work on functionals.
Chapter 13. Ralf Kromer: Marshall Stone and duality: from differential equations to Boolean algebras.
Chapter 14. Ralf Kromer: Duality ? la Bourbaki.-
Chapter 15. Jesper Lutzen: Duality and Distributions: An Application of Topological Vector Spaces.- Part IV. The post-war outlook.
Chapter 16. Tinne Hoff Kjeldsen: From duality in mathematical programming to Fenchel duality and convex analysis: Duality as a force of inspiration in the creation of new mathematics.
Chapter 17. Jean-Pierre Marquis: An Historical Perspective on Duality and Category Theory.- List of abbreviations.- Bibliography.- Author index.
Format: Hardback, 628 pages, height x width: 235x155 mm, 68 Illustrations, color; 40 Illustrations, black and white; Approx. 660 p. 18 illus., 1 Hardback
Pub. Date: 25-Aug-2024
ISBN-13: 9789819734337
This book aims to provide with some approaches for lessening the unknowns of the FE methods of unsteady PDEs. It provides a very detailed theoretical foundation of finite element (FE) and mixed finite element (MFE) methods in the first 2 chapters, and then Chapter 3 provides the FE and MFE methods to solve unsteady partial differential equations (PDEs). In the following 2 chapters, the principle and application of two proper orthogonal decomposition (POD) methods are introduced in detail.
This book can be used as both the introduction of FE method and the gateway to the FE frontier. For readers who want to learn the FE and MFE methods for solving various steady and unsteady PDEs, they will find the first 3 chapters very helpful. While those who care about engineering applications may jump to the last 2 chapters that introduce the construction of dimension reduction models and their applications to practical process calculations. This part could help them to improve the calculation efficiency and save CPU runtime so as to do wonders for their engineering calculations.
Preface.- Basic Theory of Standard Finite Element Method.- Basic Theory of Mixed Finite Element Method.- Mixed Finite Element Methods for the Unsteady Partial Differential Equations.- The Reduced Dimension Methods of Finite Element Subspaces for Unsteady Partial Differential Equations.- The Reduced Dimension of Finite Element Solution Coefficient Vectors for Unsteady Partial Differential Equations.- Bibliography.- Index.