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Linear Inverse Problems
World Scientific Publishing Company 2011; US$ 42.00 US$ 38.22The book describes a useful tool for solving linear inverse problems subject to convex constraints. The method of maximum entropy in the mean automatically takes care of the constraints. It consists of a technique for transforming a large dimensional inverse problem into a small dimensional non-linear variational problem. . A variety of mathematical... more...
Blow-up in Nonlinear Sobolev Type Equations
De Gruyter 2011; US$ 238.00The monograph is devoted to the study of initial-boundary-value problems for multi-dimensional Sobolev-type equations over bounded domains. The authors consider both specific initial-boundary-value problems and abstract Cauchy problems for first-order (in the time variable) differential equations with nonlinear operator coefficients with... more...
Relative Equilibria of the Curved N-Body Problem
Atlantis Press 2012; US$ 99.83The guiding light of this monograph is a question easy to understand but difficult to answer: {What is the shape of the universe? In other words, how do we measure the shortest distance between two points of the physical space? Should we follow a straight line, as on a flat table, fly along a circle, as between Paris and New York, or take some other... more...
The Cauchy Problem
Cambridge University Press 1984; US$ 124.00This book deals with the Cauchy or initial value problem for linear differential equations. more...
Modeling and Inverse Problems in the Presence of Uncertainty
CRC Press 2014; US$ 57.95Modeling and Inverse Problems in the Presence of Uncertainty collects recent research—including the authors’ own substantial projects—on uncertainty propagation and quantification. It covers two sources of uncertainty: where uncertainty is present primarily due to measurement errors and where uncertainty is present due to the modeling formulation... more...
An Introduction to Inverse Problems with Applications
Springer Berlin Heidelberg 2012; US$ 117.45This book explores several aspects of inverse problems, presenting needed prerequisite topics in numerical analysis and matrix algebra. ". . . a comprehensive introduction to inverse problems." - Robert E. White, Provessor of Mathematics, NC State Univ. more...
Inverse Problems and Nonlinear Evolution Equations
De Gruyter 2013; US$ 168.00The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to... more...
Construction Of Integration Formulas For Initial Value Problems
Elsevier Science 2012; US$ 72.95Construction of Integration Formulas for Initial Value Problems provides practice-oriented insights into the numerical integration of initial value problems for ordinary differential equations. It describes a number of integration techniques, including single-step methods such as Taylor methods, Runge-Kutta methods, and generalized Runge-Kutta methods.... more...
Additive Operator-Difference Schemes
De Gruyter 2013; US$ 238.00Applied mathematical modeling is concerned with solving unsteady problems. Splitting schemes are attributed to the transition from a complex problem to a chain of simpler problems. This book shows how to construct additive difference schemes (splitting schemes) to solve approximately unsteady multi-dimensional problems for PDEs. Two classes... more...
Large Scale Inverse Problems
De Gruyter 2013; US$ 126.00This book is thesecond volume of a three volume series recording the "Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment" that took placein Linz, Austria, October 3-7, 2011. This volume addresses the common ground in the mathematical and computational procedures required for large-scale inverse... more...
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