Numerical analysis

This book aims to solve the discrete implementation problems of continuous-time neural network models while improving the performance of neural networks by using various Zhang Time Discretization (ZTD) formulas.

This is an updated version of what is still the only text to address basic questions about how to model uncertainty in mathematical programming, including how to reformulate a deterministic model so that it can be analyzed in a stochastic setting.

This book highlights recent developments in the representation theory of finite solvable groups, which seeks to connect group theory to linear algebra in ways that allow for better study of the groups in question.

This monograph is centered on mathematical modeling, innovative numerical algorithms and adaptive concepts to deal with fracture phenomena in multiphysics.

This monograph is centered on mathematical modeling, innovative numerical algorithms and adaptive concepts to deal with fracture phenomena in multiphysics.

Stochastic Methods in Scientific Computing: From Foundations to Advanced Techniques introduces the reader to advanced concepts in stochastic modelling, rooted in an intuitive yet rigorous presentation of the underlying mathematical concepts.

Stochastic Methods in Scientific Computing: From Foundations to Advanced Techniques introduces the reader to advanced concepts in stochastic modelling, rooted in an intuitive yet rigorous presentation of the underlying mathematical concepts.

A reader-friendly introduction to the exciting world of statistics for the analysts, business leaders and policymakers of tomorrow.

This book is focused on the qualitative theory of general quantum calculus, the modern name for the investigation of calculus without limits.

This book is focused on the qualitative theory of general quantum calculus, the modern name for the investigation of calculus without limits.

In this textbook for students of laminated composite materials, composite structures, and anisotropic elasticity, Chyanbin Hwu draws on more than three decades of research and applications experience to provide a leading resource on many unique topics related to laminated composite structures.

This book highlights recent developments in the representation theory of finite solvable groups, which seeks to connect group theory to linear algebra in ways that allow for better study of the groups in question.

The theory of the measure of noncompactness has proved its significance in various contexts, particularly in the study of fixed point theory, differential equations, functional equations, integral and integrodifferential equations, optimization, and others.

The theory of the measure of noncompactness has proved its significance in various contexts, particularly in the study of fixed point theory, differential equations, functional equations, integral and integrodifferential equations, optimization, and others.

This book uses numerical analysis as the main tool to investigate methods in machine learning and neural networks.

Nonlinear evolution equations are widely used to describe nonlinear phenomena in natural and social sciences.

Here is your in-depth guide to cryptography and cryptanalysis in Java.

This book presents the proceedings of Mecsol 2022.

This book presents the first comprehensive and modern mathematical treatment of these mean field particle models, including refined convergence analysis on nonlinear Markov chain models.

This book uses numerical analysis as the main tool to investigate methods in machine learning and neural networks.

This book is a thoroughly revised and enlarged version of "e;Shock-capturing methods for free-surface shallow flows"e;, first published by Wiley and Sons, 2001.

Nonlinear functional analysis is a central subject of mathematics with applications in many areas of geometry, analysis, fl uid and elastic mechanics, physics, chemistry, biology, control theory, optimization, game theory, economics etc.

The text provides insight into the different mathematical tools and techniques that can be applied to the analysis and numerical computations of flow models.

The text provides insight into the different mathematical tools and techniques that can be applied to the analysis and numerical computations of flow models.

Using meaningful examples, credible applications, and incisive technology, Vector Calculus strives to empower students, enhance their critical thinking skills, and equip them with the knowledge and skills to succeed in the major or discipline they ultimately choose to study.

This book is an autobiographical interview with Chinese Academician Yuan Wang on his experience in mathematical research.

This book is an autobiographical interview with Chinese Academician Yuan Wang on his experience in mathematical research.

Dieses Lehrbuch führt konsequent algorithmisch orientiert in die Modellreduktion linearer zeitinvarianter Systeme ein; der Fokus liegt hierbei auf systemtheoretischen Methoden.

Dieses Lehrbuch führt konsequent algorithmisch orientiert in die Modellreduktion linearer zeitinvarianter Systeme ein; der Fokus liegt hierbei auf systemtheoretischen Methoden.

The latest advancements in time scale calculus are the focus of this book.

This book gathers selected research articles presented in the "e;6th International Conference on Mathematical Modelling, Applied Analysis and Computation (ICMMAAC)"e;, held at JECRC University, Jaipur, during August 3-5, 2023.

This monograph provides a comprehensive study of the Riemann problem for systems of conservation laws arising in continuum physics.

This monograph provides a comprehensive study of the Riemann problem for systems of conservation laws arising in continuum physics.

Since the publication of the first edition of this book, the area of mathematical finance has grown rapidly, with financial analysts using more sophisticated mathematical concepts, such as stochastic integration, to describe the behavior of markets and to derive computing methods.

Ario and Zawidzki show readers how to handle symmetric structures in engineering using group-theoretic bifurcation theory as a mathematical tool for the finite element analysis of symmetric structures.

Quantum Calculus and Functional Analysis with Applications presents advanced research on quantum calculus, functional analysis, and their interdisciplinary applications.

Updated and revised, this book presents the application of engineering design and analysis based on the approach of understanding the physical characteristics of a given problem and then modeling the important aspects of the physical system.

This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid.

This book describes the use of ANSYS finite element analysis software and MATLAB to solve acoustic problems.

Ship structures can be extremely large, and their structural arrangements are often complex and of a considerable variety.

This book gathers a selection of peer-reviewed papers presented at the 4th International Conference on Experimental and Computational Mechanics in Engineering (ICECME 2022), held as a virtual conference and organized by Universitas Syiah Kuala, Banda Aceh, Indonesia, on September 14-15, 2022.

This book provides an alternative approach to time-independent perturbation theory in non-relativistic quantum mechanics.

Advances on Mathematical Modeling and Optimization with Its Applications discusses optimization, equality, and inequality constraints and their application in the versatile optimizing domain.

This book gathers a selection of peer-reviewed papers presented at the 4th International Conference on Experimental and Computational Mechanics in Engineering (ICECME 2022), held as a virtual conference and organized by Universitas Syiah Kuala, Banda Aceh, Indonesia, on September 14-15, 2022.

The monograph is devoted to the construction of the high-order finite difference and finite element methods for numerical solving multidimensional boundary-value problems (BVPs) for different partial differential equations, in particular, linear Helmholtz and wave equations, nonlinear Burgers' equations, and elliptic (Schrodinger) equation.

Ship structures can be extremely large, and their structural arrangements are often complex and of a considerable variety.

The monograph is devoted to the construction of the high-order finite difference and finite element methods for numerical solving multidimensional boundary-value problems (BVPs) for different partial differential equations, in particular, linear Helmholtz and wave equations, nonlinear Burgers' equations, and elliptic (Schrodinger) equation.

This book provides a concise and comprehensive introduction to several basic methods with more attention to their theoretical basis and applications in fluid dynamics.