Numerical analysis

Flight Mechanics Modeling and Analysis comprehensively covers flight mechanics and flight dynamics using a systems approach.

In recent years, extensive research has been conducted by eminent mathematicians and engineers whose results and proposed problems are presented in this new volume.

In this book, innovative research using artificial neural networks (ANNs) is conducted to automate the sizing task of RF IC design, which is used in two different steps of the automatic design process.

This third edition expands upon the earlier edition by adding nearly 40 pages of new material reflecting the analytical and numerical progress in inverse problems in last 10 years.

This monograph provides a compendium of established and novel error estimation procedures applied in the field of Computational Mechanics.

This book offers a user friendly, hands-on, and systematic introduction to applied and computational harmonic analysis: to Fourier analysis, signal processing and wavelets; and to their interplay and applications.

Matrix Singular Value Decomposition (SVD) and its application to problems in signal processing is explored in this book.

Recent decades have seen a very rapid success in developing numerical methods based on explicit control over approximation errors.

The book is devoted to the perturbation analysis of matrix equations.

In the last decade parallel computing has been put forward as the only computational answer to the increasing computational needs arising from very large and complex fluid dynamic problems.

This book contains the papers presented at the Parallel Computational Fluid Dynamics 1998 Conference.

In accordance with the developments in computation, theoretical studies on numerical schemes are now fruitful and highly needed.

Since their introduction in the 1980's, wavelets have become a powerful tool in mathematical analysis, with applications such as image compression, statistical estimation and numerical simulation of partial differential equations.

This book includes a collection of extended papers based on presentations given during the SimHydro 2023 conference, held in EDF Lab Chatou, France, with the support of  Societe Hydrotechnique de France (SHF), the Association Francaise de Mecanique (AFM), the Environmental and Water Resources Institute (EWRI), and the International Association for Hydro-Environment Engineering and Research (IAHR).

ACMES (Algorithms and Complexity in Mathematics, Epistemology, and Science) is a multidisciplinary conference series that focuses on epistemological and mathematical issues relating to computation in modern science.

Regression Analysis provides complete coverage of the classical methods of statistical analysis.

This textbook offers a guided tutorial that reviews the theoretical fundamentals while going through the practical examples used for constructing the computational frame, applied to various real-life models.

Theory and Applications of Numerical Analysis is a self-contained Second Edition, providing an introductory account of the main topics in numerical analysis.

Scientific Computing and Differential Equations: An Introduction to Numerical Methods, is an excellent complement to Introduction to Numerical Methods by Ortega and Poole.

Numerical Methods for Fluids, Part 3

This book is an enhanced and expanded English edition of the treatise "e;Fondamenti matematici e analisi numerica della dinamica di un Universo isotropo,"e; published by the Accademia delle Scienze di Torino in volume no.

This book offers an in-depth verification of numerical solutions for differential equations modeling heat transfer phenomena, where the smoothed particle hydrodynamics (SPH) method is used to discretize the mathematical models.

This book presents a comprehensive treatment of recently developed scalable algorithms for solving multibody contact problems of linear elasticity.

Perturbed functional iterations (PFI) is a large scale nonlinear system solver.

The present book develops the mathematical and numerical analysis of linear, elliptic and parabolic partial differential equations (PDEs) with coefficients whose logarithms are modelled as Gaussian random fields (GRFs), in polygonal and polyhedral physical domains.

Multigrid presents both an elementary introduction to multigrid methods for solving partial differential equations and a contemporary survey of advanced multigrid techniques and real-life applications.

Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension of classical methods and ending with recent techniques and methodologies.

This book highlights a comprehensive introduction to the principles and calculation methods of computational optical imaging.

This book highlights a comprehensive introduction to the principles and calculation methods of computational optical imaging.

Employ the essential and hands-on tools and functions of MATLAB's ordinary differential equation (ODE) and partial differential equation (PDE) packages, which are explained and demonstrated via interactive examples and case studies.

Many large mathematical models, not only models arising and used in environmental studies, are described by systems of partial differential equations.

Cutting-edge mathematical tools are used in this treatment of recent developments in geometric inverse problems.

This thesis addresses a novel application of network modelling methodologies to power transformers.

The Abel Symposia volume at hand contains a collection of high-quality articles written by the world's leading experts, and addressing all mathematicians interested in advances in deterministic and stochastic dynamical systems, numerical analysis, and control theory.

The book is devoted to the study of approximate solutions of optimization problems in the presence of computational errors.

Theoretical and Computational Fluid Mechanics: Existence, Blowup and Discrete Exterior Calculus Problems, Volume II is self-contained, though it builds upon the work of the previous volume in providing a comprehensive introduction to the mathematical theory of incompressible flows, with a focus on the foundational structures, analytical techniques, and open problems associated with the Navier-Stokes equations.

The book investigates the correlation between computational optimization methods, data science, machine learning, and mathematical analysis.

This book introduces the theory of multigrid methods for the fast numerical solution of linear and weakly nonlinear elliptic PDE.

The book investigates the correlation between computational optimization methods, data science, machine learning, and mathematical analysis.

Theoretical and Computational Fluid Mechanics: Existence, Blowup and Discrete Exterior Calculus Problems, Volume II is self-contained, though it builds upon the work of the previous volume in providing a comprehensive introduction to the mathematical theory of incompressible flows, with a focus on the foundational structures, analytical techniques, and open problems associated with the Navier-Stokes equations.