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Author: Roger Penrose
Publisher: SIAM
Published: 1972-01-01
Total Pages: 80
ISBN-13: 9781611970609
DOWNLOAD EBOOKAcquaints the specialist in relativity theory with some global techniques for the treatment of space-times and will provide the pure mathematician with a way into the subject of general relativity.
Author: Alan C. Newell
Publisher: SIAM
Published: 1985-01-01
Total Pages: 260
ISBN-13: 9781611970227
DOWNLOAD EBOOKThe soliton is a dramatic concept in nonlinear science. What makes this book unique in the treatment of this subject is its focus on the properties that make the soliton physically ubiquitous and the soliton equation mathematically miraculous. Here, on the classical level, is the entity field theorists have been postulating for years: a local traveling wave pulse; a lump-like coherent structure; the solution of a field equation with remarkable stability and particle-like properties. It is a fundamental mode of propagation in gravity- driven surface and internal waves; in atmospheric waves; in ion acoustic and Langmuir waves in plasmas; in some laser waves in nonlinear media; and in many biologic contexts, such as alpha-helix proteins.
Author: Charles K. Chui
Publisher: SIAM
Published: 1988-01-01
Total Pages: 194
ISBN-13: 9781611970173
DOWNLOAD EBOOKThe subject of multivariate splines has become a rapidly growing field of mathematical research. The author presents the subject from an elementary point of view that parallels the theory and development of univariate spline analysis. To compensate for the missing proofs and details, an extensive bibliography has been included. There is a presentation of open problems with an emphasis on the theory and applications to computer-aided design, data analysis, and surface fitting. Applied mathematicians and engineers working in the areas of curve fitting, finite element methods, computer-aided geometric design, signal processing, mathematical modelling, computer-aided design, computer-aided manufacturing, and circuits and systems will find this monograph essential to their research.
Author: Paul C. Fife
Publisher: SIAM
Published: 1988-01-01
Total Pages: 98
ISBN-13: 0898712254
DOWNLOAD EBOOKA good introduction to interfacial phenomena and is unique in its treatment of flames, as well as internal layer dynamics.
Author: Herbert B. Keller
Publisher: SIAM
Published: 1976-01-01
Total Pages: 67
ISBN-13: 0898710219
DOWNLOAD EBOOKLectures on a unified theory of and practical procedures for the numerical solution of two point boundary-value problems.
Author: I. J. Schoenberg
Publisher: SIAM
Published: 1973-01-01
Total Pages: 127
ISBN-13: 089871009X
DOWNLOAD EBOOKIn this book the author explains cardinal spline functions, the basic properties of B-splines and exponential Euler splines.
Author: James Lighthill
Publisher: SIAM
Published: 1975-01-01
Total Pages: 278
ISBN-13: 1611970512
DOWNLOAD EBOOKAddresses external biofluiddynamics concerning animal locomotion and internal biofluiddynamics concerning heat and mass transport.
Author: Douglas N. Arnold
Publisher: SIAM
Published: 2018-12-12
Total Pages: 126
ISBN-13: 1611975549
DOWNLOAD EBOOKComputational methods to approximate the solution of differential equations play a crucial role in science, engineering, mathematics, and technology. The key processes that govern the physical world?wave propagation, thermodynamics, fluid flow, solid deformation, electricity and magnetism, quantum mechanics, general relativity, and many more?are described by differential equations. We depend on numerical methods for the ability to simulate, explore, predict, and control systems involving these processes. The finite element exterior calculus, or FEEC, is a powerful new theoretical approach to the design and understanding of numerical methods to solve partial differential equations (PDEs). The methods derived with FEEC preserve crucial geometric and topological structures underlying the equations and are among the most successful examples of structure-preserving methods in numerical PDEs. This volume aims to help numerical analysts master the fundamentals of FEEC, including the geometrical and functional analysis preliminaries, quickly and in one place. It is also accessible to mathematicians and students of mathematics from areas other than numerical analysis who are interested in understanding how techniques from geometry and topology play a role in numerical PDEs.
Author: Yuji Kodama
Publisher: SIAM
Published: 2018-12-10
Total Pages: 267
ISBN-13: 1611975522
DOWNLOAD EBOOKWeb-like waves, often observed on the surface of shallow water, are examples of nonlinear waves. They are generated by nonlinear interactions among several obliquely propagating solitary waves, also known as solitons. In this book, modern mathematical tools?algebraic geometry, algebraic combinatorics, and representation theory, among others?are used to analyze these two-dimensional wave patterns. The author?s primary goal is to explain some details of the classification problem of the soliton solutions of the KP equation (or KP solitons) and their applications to shallow water waves. This book is intended for researchers and graduate students.?
Author: J. F. C. Kingman
Publisher: SIAM
Published: 1980-01-01
Total Pages: 78
ISBN-13: 0898711665
DOWNLOAD EBOOKThis book draws together some mathematical ideas that are useful in population genetics, concentrating on a few aspects which are both biologically relevant and mathematically interesting.
