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Wavelet Based Approximation Schemes for Singular Integral Equations

Wavelet Based Approximation Schemes for Singular Integral Equations

Madan Mohan Panja; Birendra Nath Mandal

CRC Press
2020
sidottu
Many mathematical problems in science and engineering are defined by ordinary or partial differential equations with appropriate initial-boundary conditions. Among the various methods, boundary integral equation method (BIEM) is probably the most effective. It’s main advantage is that it changes a problem from its formulation in terms of unbounded differential operator to one for an integral/integro-differential operator, which makes the problem tractable from the analytical or numerical point of view. Basically, the review/study of the problem is shifted to a boundary (a relatively smaller domain), where it gives rise to integral equations defined over a suitable function space. Integral equations with singular kernels areamong the most important classes in the fields of elasticity, fluid mechanics, electromagnetics and other domains in applied science and engineering. With the advancesin computer technology, numerical simulations have become important tools in science and engineering. Several methods have been developed in numerical analysis for equations in mathematical models of applied sciences. Widely used methods include: Finite Difference Method (FDM), Finite Element Method (FEM), Finite Volume Method (FVM) and Galerkin Method (GM). Unfortunately, none of these are versatile. Each has merits and limitations. For example, the widely used FDM and FEM suffers from difficulties in problem solving when rapid changes appear in singularities. Even with the modern computing machines, analysis of shock-wave or crack propagations in three dimensional solids by the existing classical numerical schemes is challenging (computational time/memory requirements). Therefore, with the availability of faster computing machines, research into the development of new efficient schemes for approximate solutions/numerical simulations is an ongoing parallel activity. Numerical methods based on wavelet basis (multiresolution analysis) may be regarded as a confluence of widely used numerical schemes based on Finite Difference Method, Finite Element Method, Galerkin Method, etc. The objective of this monograph is to deal with numerical techniques to obtain (multiscale) approximate solutions in wavelet basis of different types of integral equations with kernels involving varieties of singularities appearing in the field of elasticity, fluid mechanics, electromagnetics and many other domains in applied science and engineering.
Wavelet Based Approximation Schemes for Singular Integral Equations

Wavelet Based Approximation Schemes for Singular Integral Equations

Madan Mohan Panja; Birendra Nath Mandal

CRC Press
2022
nidottu
Many mathematical problems in science and engineering are defined by ordinary or partial differential equations with appropriate initial-boundary conditions. Among the various methods, boundary integral equation method (BIEM) is probably the most effective. It’s main advantage is that it changes a problem from its formulation in terms of unbounded differential operator to one for an integral/integro-differential operator, which makes the problem tractable from the analytical or numerical point of view. Basically, the review/study of the problem is shifted to a boundary (a relatively smaller domain), where it gives rise to integral equations defined over a suitable function space. Integral equations with singular kernels areamong the most important classes in the fields of elasticity, fluid mechanics, electromagnetics and other domains in applied science and engineering. With the advancesin computer technology, numerical simulations have become important tools in science and engineering. Several methods have been developed in numerical analysis for equations in mathematical models of applied sciences. Widely used methods include: Finite Difference Method (FDM), Finite Element Method (FEM), Finite Volume Method (FVM) and Galerkin Method (GM). Unfortunately, none of these are versatile. Each has merits and limitations. For example, the widely used FDM and FEM suffers from difficulties in problem solving when rapid changes appear in singularities. Even with the modern computing machines, analysis of shock-wave or crack propagations in three dimensional solids by the existing classical numerical schemes is challenging (computational time/memory requirements). Therefore, with the availability of faster computing machines, research into the development of new efficient schemes for approximate solutions/numerical simulations is an ongoing parallel activity. Numerical methods based on wavelet basis (multiresolution analysis) may be regarded as a confluence of widely used numerical schemes based on Finite Difference Method, Finite Element Method, Galerkin Method, etc. The objective of this monograph is to deal with numerical techniques to obtain (multiscale) approximate solutions in wavelet basis of different types of integral equations with kernels involving varieties of singularities appearing in the field of elasticity, fluid mechanics, electromagnetics and many other domains in applied science and engineering.
Pandit M. M. Malaviya's Letter to the Viceroy and Governor General of India on the Indian Situation
Pandit M. M. Malaviya's Letter To The Viceroy And Governor General Of India On The Indian Situation is a book written by Madan Mohan Malaviya. In this book, Malaviya writes a letter to the Viceroy and Governor General of India, expressing his concerns and opinions on the situation in India during the early 20th century. Malaviya was a prominent Indian nationalist and politician who played a significant role in India's struggle for independence. He was also a social reformer, educationist, and journalist. In this letter, Malaviya discusses various issues such as the political situation, economic conditions, and social problems in India. He also talks about the need for reforms and the role of the British government in bringing about change. The book provides valuable insights into the Indian freedom struggle and the thoughts and ideas of one of its most prominent leaders. It is a must-read for anyone interested in Indian history and politics.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.
The Arch of Fire

The Arch of Fire

Madan Mohan Mishra

Black Eagle Books
2021
pokkari
'The Arch of Fire' is based on the Naxalite' tactic against the Indian State. Seizing land from oppressors and redistributing it amongst the peasants has been the aim of the Naxalites since its creation. In 1967, oppressed peasants inspired by the communist movement raised their bows and arrows against the feudal landowners in Naxalbari. Naxalites, raised their upgraded, more sophisticated weapons against mining corporations and development projects which threatened to expel indigenous tribes or Adivasis from their ancestral lands in order to exploit the mineral-rich soil. The Naxalite movement as we know it today, its emergence is a result of the various fragmentations of communist ideologies in India over time. Hence, in order to comprehend the nature of Naxalism, one must first delve into its own tumultuous history. This novel received Odisha Sahitya Academy award in 1989.
In The Land of Water Lilies

In The Land of Water Lilies

Madan Mohan Sarkar

Notion Press
2019
pokkari
The saying goes, "When two hearts come closer, discrimination and discretion disappear." Sara, the Indo-Surinamese girl settled in The Netherlands was drawn closer to the Indian boy, Rahul, while on a tour of Europe. A sad and heartbroken Sara sees Rahul off at Rome Airport after the tour. Would they be fortunate enough, like Sudip and Rita, to unite in a bond of marriage with the happy consent of all? Or would they be defeated by the barriers of distance, protocols, injustice, social and cultural differences and family tragedies? Or be blessed with the power of the almighty, who proclaimed in Srimad Bhagbad Gita, "I and only I, the omnipotent, omnipresent and omniscient, decide the fate of all living beings and their actions in the mundane Earth?"
Love Tradition in Vidyapati and British Poets

Love Tradition in Vidyapati and British Poets

Madan Mohan Jha

Bluerose Publishers
2024
pokkari
This book is a kind of journey which explores the love tradition across ages. Starting from the Petrarchansociety where lover and the beloved were treated differently. It was a kind of master slave relationship.Beloved was treated like a star and the lover used to follow the star. Vidyapati was a kind of poet whowas far ahead of his contemporaries and in his poems we can find different elements of love. This bookpresents a comparison of love tradition of Vidyapati and few British Poets. Love has always been aserious concern for poets. John Donne is a metaphysical poet who thinks that divinity and purityassociated with love can be expressed only through the body whereas Shakespeare acknowledges thathis mistress is not so beautiful like rose yet he loves her. His degree of love varies as if he has somemetres to measure the intensity of love. This is one of the reasons that he is scared to reveal hisrelationship with his friend in public. Vidyapati understand such concerns and he has defined purely thetradition of love which will never ever end. He is a poet of fourteenth century but still today he iscelebrated in different parts of India and abroad. This book opens the spirituality associated with love...
Leadership in Government

Leadership in Government

Madan Mohan Upadhyay

MANJUL PUBLISHING HOUSE PVT LTD
2022
nidottu
A valuable collection of strategies, tools and concepts, this book will help an individual in public services to be proactive and result oriented, to chart a successful career in governance. Apart from discussing concepts of leadership, it also provides: An overview of the challenges in administration from the Indian perspective An insight into the unique role public services play in a rapidly changing administrative scenario Simple skills and tools that can be used at any level to optimize the delivery of public services Based on the author's personal experiences in 30 years of working in the central and state governments in various capacities, this engaging book looks at the complex world of leadership in government, an area much talked about, but about which very little has been written. The book emphasises the importance of leadership in government and links it to various day-to-day aspects in real-life situations. It speaks on many governance issues that touch all of us, and is, therefore, useful for everyone.
Orochirurgische Überlegungen in der Kinderzahnheilkunde

Orochirurgische Überlegungen in der Kinderzahnheilkunde

Madan Mohan; Nikhil Srivastava; Vivek Rana

Verlag Unser Wissen
2025
nidottu
Chirurgische Eingriffe bei p diatrischen Patienten erfordern eine Reihe von besonderen berlegungen, die f r diese Patientengruppe spezifisch sind. Die p diatrische Mund-, Kiefer- und Gesichtschirurgie ist unter den chirurgischen Fachgebieten insofern einzigartig, als sie eine starke Verbindung zur Zahnmedizin aufweist. Es besteht ein enger Zusammenhang, da fundierte Kenntnisse der Zahnmedizin eine Voraussetzung f r ein chirurgisches Fachgebiet sind, das sich mit Erkrankungen, Verletzungen und Defekten im Mund-, Kiefer- und Gesichtsbereich befasst. Die Behandlung von Kindern, die sich einem oralchirurgischen Eingriff unterziehen m ssen, basiert auf (1) dem Alter und der Reife, (2) fr heren medizinischen und zahnmedizinischen Erfahrungen, die das Verhalten beeinflussen k nnten, (3) dem k rperlichen Zustand und (4) der Dauer und dem Umfang der f r die Durchf hrung der Operation erforderlichen Manipulationen.