Numerical Analysis
Bits and Bugs (Software, Environments, and Tools)
by Thomas Huckle and Tobias Neckel
In scientific computing (also known as computational science), advanced computing capabilities are used to solve complex problems. This self-contained book describes and analyzes reported software failures related to the major topics within scientific computing: mathematical modeling of phenomena; numerical analysis (number representation, rounding, conditioning); mathematical aspects and complexity of algorithms, systems, or software; concurrent computing (parallelization, scheduling, synchroni...
Finite Element Method in Engineering (Pergamon International Library of Science, Technology, Engin)
by Singiresu S. Rao and S S Rao
With the revolution in readily available computing power, the finite element method has become one of the most important tools for the modern engineer. This method of analyzing and modeling materials, structures, and forms is based on turning physical shapes into mathematical models made up from descriptive nodes, which can be manipulated using matrix methods. Examples include the new discipline of computational fluid dynamics, aerodynamic modeling, and the prediction of the behavior of componen...
The present collection is the very first contribution of this type in the field of sparse recovery. Compressed sensing is one of the important facets of the broader concept presented in the book, which by now has made connections with other branches such as mathematical imaging, inverse problems, numerical analysis and simulation. The book consists of four lecture notes of courses given at the Summer School on "Theoretical Foundations and Numerical Methods for Sparse Recovery" held at the Joha...
Computational and Algorithmic Linear Algebra and N-Dimensional Geometry
by Katta G. Murty
Computational finance is an interdisciplinary field which joins financial mathematics, stochastics, numerics and scientific computing. Its task is to estimate as accurately and efficiently as possible the risks that financial instruments generate. This volume consists of a series of cutting-edge surveys of recent developments in the field written by leading international experts. These make the subject accessible to a wide readership in academia and financial businesses.The book consists of 1...
30 Worksheets - Finding Larger Number of 8 Digits (30 Days Math Greater Numbers, #7)
by Kapoo Stem
This text contains a series of self-contained reviews on the state of the art in different areas of partial differential equations, presented by French mathematicians. Topics include qualitative properties of reaction-diffusion equations, multiscale methods coupling atomistic and continuum mechanics, adaptive semi-Lagrangian schemes for the Vlasov-Poisson equation, and coupling of scalar conservation laws.
Sequence Space Theory with Applications
The book features original chapters on sequence spaces involving the idea of ideal convergence, modulus function, multiplier sequences, Riesz mean, Fibonacci difference matrix etc., and illustrate their involvement in various applications. The preliminaries have been presented in the beginning of each chapter and then the advanced discussion takes place, so it is useful for both expert and nonexpert on aforesaid topics. The book consists of original thirteen research chapters contributed by the...
Regularization methods aimed at finding stable approximate solutions are a necessary tool to tackle inverse and ill-posed problems. Inverse problems arise in a large variety of applications ranging from medical imaging and non-destructive testing via finance to systems biology. Many of these problems belong to the class of parameter identification problems in partial differential equations (PDEs) and thus are computationally demanding and mathematically challenging. Hence there is a substantial...
Compressive sensing is a new mathematical technique in signal processing. It enables, for example, optical, radar, MRI and X-ray imaging systems with limited capabilities in bandwidth or resolution to recover "natural" signals with high accuracy. As a consequence, new system architectures can be devised where standard regular sampling is not attainable due to sensor power consumption, size, cost, or technological limitations. This graduate textbook provides detailed background for study and r...
I'm a Mathematician I Do What I Want, When I Want, Where I Want. Just Let Me Ask My Wife
by Workventure Designs
Hybrid Dynamical Systems
by Rafal Goebel, Ricardo G Sanfelice, and Andrew R. Teel
Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms--algorithms that feature logic, timers, or combinations of digital and analog components. With the tools of modern mathematical analysis, Hyb...
Written in an easy-to-understand manner, this comprehensive textbook brings together both basic and advanced concepts of numerical methods in a single volume. Important topics including error analysis, nonlinear equations, systems of linear equations, interpolation and interpolation for Equal intervals and bivariate interpolation are discussed comprehensively. The textbook is written to cater to the needs of undergraduate students of mathematics, computer science, mechanical engineering, civil e...