Numerical analysis

This textbook is an introduction to the subject of inverse problems with an emphasis on practical solution methods and applications from geophysics.

This monograph develops adaptive stochastic methods in computational mathematics.

This monograph develops adaptive stochastic methods in computational mathematics.

Optimal feedback control arises in different areas such as aerospace engineering, chemical processing, resource economics, etc.

This book presents a detailed description of a robust pseudomultigrid algorithm for solving (initial-)boundary value problems on structured grids in a black-box manner.

This book presents a detailed description of a robust pseudomultigrid algorithm for solving (initial-)boundary value problems on structured grids in a black-box manner.

Scientists and engineers are mainly using Richardson extrapolation as a computational tool for increasing the accuracy of various numerical algorithms for the treatment of systems of ordinary and partial differential equations and for improving the computational efficiency of the solution process by the automatic variation of the time-stepsizes.

Scientists and engineers are mainly using Richardson extrapolation as a computational tool for increasing the accuracy of various numerical algorithms for the treatment of systems of ordinary and partial differential equations and for improving the computational efficiency of the solution process by the automatic variation of the time-stepsizes.

The book is a comprehensive yet compressed entry-level introduction on single variable calculus, focusing on the concepts and applications of limits, continuity, derivative, defi nite integral, series, sequences and approximations.

The book is a comprehensive yet compressed entry-level introduction on single variable calculus, focusing on the concepts and applications of limits, continuity, derivative, defi nite integral, series, sequences and approximations.

This volume deals with two complementary topics.

This volume deals with two complementary topics.

Drawing on examples from various areas of physics, this textbook introduces the reader to computer-based physics using Fortran(R) and Matlab(R).

This self-contained text is a step-by-step introduction and a complete overview of interval computation and result verification, a subject whose importance has steadily increased over the past many years.

This self-contained text is a step-by-step introduction and a complete overview of interval computation and result verification, a subject whose importance has steadily increased over the past many years.

This monograph discusses modeling, adaptive discretisation techniques and the numerical solution of fluid structure interaction.

This monograph discusses modeling, adaptive discretisation techniques and the numerical solution of fluid structure interaction.

Exact Finite-Difference Schemes is a first overview of the topic also describing the state-of-the-art in this field of numerical analysis.

Exact Finite-Difference Schemes is a first overview of the topic also describing the state-of-the-art in this field of numerical analysis.

This book thoroughly covers the remote sensing visualization and analysis techniques based on computational imaging and vision in Earth science.

This edited volume offers a state of the art overview of fast and robust solvers for the Helmholtz equation.

This book focuses on the modeling, processing and visualization of anisotropy, irrespective of the context in which it emerges, using state-of-the-art mathematical tools.

The first of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields.

The conventional numerical methods when applied to multidimensional problems suffer from the so-called "e;curse of dimensionality"e;, that cannot be eliminated by using parallel architectures and high performance computing.

Scientific Computing for Scientists and Engineers is designed to teach undergraduate students relevant numerical methods and required fundamentals in scientific computing.

All relevant implementation aspects of finite element methods are discussed in this book.

All relevant implementation aspects of finite element methods are discussed in this book.

Most of the problems arising in science and engineering are nonlinear.

The conventional numerical methods when applied to multidimensional problems suffer from the so-called "e;curse of dimensionality"e;, that cannot be eliminated by using parallel architectures and high performance computing.

Scientific Computing for Scientists and Engineers is designed to teach undergraduate students relevant numerical methods and required fundamentals in scientific computing.

The book presents integral formulations for partial differential equations, with the focus on spherical and plane integral operators.

This book is the second volume of proceedings of the 8th conference on "e;Finite Volumes for Complex Applications"e; (Lille, June 2017).

This book presents numerical methods for solving a wide range of problems associated with the structure of atoms and simplest molecules, and their interaction with electromagnetic radiation, electrons, and other particles.

This book deals with the general topic "e;Numerical solution of partial differential equations (PDEs)"e; with a focus on adaptivity of discretizations in space and time.

This monograph is a valuable contribution to the highly topical and extremly productive field of regularisation methods for inverse and ill-posed problems.

Most of the problems arising in science and engineering are nonlinear.

Regularization methods aimed at finding stable approximate solutions are a necessary tool to tackle inverse and ill-posed problems.

Eigenvalues and eigenvectors of matrices and linear operators play an important role when solving problems from structural mechanics and electrodynamics, e.

The intention of this textbook is to provide both, the theoretical and computational tools that are necessary to investigate and to solve optimal control problems with ordinary differential equations and differential-algebraic equations.

The present collection is the very first contribution of this type in the field of sparse recovery.

This book contains plenary lectures given at the International Conference on Mathematical and Computational Modeling, Approximation and Simulation, dealing with three very different problems: reduction of Runge and Gibbs phenomena, difficulties arising when studying models that depend on the highly nonlinear behaviour of a system of PDEs, and data fitting with truncated hierarchical B-splines for the adaptive reconstruction of industrial models.

The two-volume set of LNCS 10385 and 10386, constitutes the proceedings of the 8th International Conference on Advances in Swarm Intelligence, ICSI 2017, held in Fukuoka, Japan, in July/August 2017.

This textbook for graduate and advanced undergraduate students presents the theory of matrix algebra for statistical applications, explores various types of matrices encountered in statistics, and covers numerical linear algebra.

This book deals with algorithms for the solution of linear systems of algebraic equations with large-scale sparse matrices, with a focus on problems that are obtained after discretization of partial differential equations using finite element methods.