Numerical analysis

The multi-volume set LNAI 12975 until 12979 constitutes the refereed proceedings of the European Conference on Machine Learning and Knowledge Discovery in Databases, ECML PKDD 2021, which was held during September 13-17, 2021.

Solving nonsmooth optimization (NSO) problems is critical in many practical applications and real-world modeling systems.

This book combines computational intelligence and mathematics to solve theoretical and real-world problems.

This book presents the bending theory of hyperelastic beams in the context of finite elasticity.

This text presents a highly original treatment of the fundamentals of FEM, developed using computer algebra, based on undergraduate-level engineering mathematics and the mechanics of solids.

This book provides an introduction to the fundamental theory, practical implementation, and core and emerging applications of the material point method (MPM) and its variants.

This textbook covers the new development in processor architecture and parallel hardware.

This book provides an introduction to the fundamental theory, practical implementation, and core and emerging applications of the material point method (MPM) and its variants.

Approaches Banach space theory using methods from homological algebra, with concrete examples and proofs of many new and classical results.

The text covers a wide range of topics such as mathematical modeling of crop pest control management, water resources management, impact of anthropogenic activities on atmospheric carbon dioxide concentrations, impact of climate changes on melting of glaciers and polar bear populations, dynamics of slow-fast predator-prey system and spread and control of HIV epidemic.

Computational Methods in Engineering: Finite Difference, Finite Volume, Finite Element, and Dual Mesh Control Domain Methods provides readers with the information necessary to choose appropriate numerical methods to solve a variety of engineering problems.

Computational Methods in Engineering: Finite Difference, Finite Volume, Finite Element, and Dual Mesh Control Domain Methods provides readers with the information necessary to choose appropriate numerical methods to solve a variety of engineering problems.

This book helps the reader make use of the mathematical models of biological phenomena starting from the basics of programming and computer simulation.

This textbook introduces the study of partial differential equations using both analytical and numerical methods.

This monograph presents the geoscientific context arising in decorrelative gravitational exploration to determine the mass density distribution inside the Earth.

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

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.

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.

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.

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.

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.

This volume gathers peer-reviewed papers from the workshop Scientific Machine Learning: Emerging Topics, held at SISSA in Trieste, Italy.

This volume gathers peer-reviewed papers from the workshop Scientific Machine Learning: Emerging Topics, held at SISSA in Trieste, Italy.