Numerical analysis

This collection of selected, revised and extended contributions resulted from a Workshop on BSDEs, SPDEs and their Applications that took place in Edinburgh, Scotland, July 2017 and included the 8th World Symposium on BSDEs.

This monograph presents cutting-edge research on dispersive wave modelling, and the numerical methods used to simulate the propagation and generation of long surface water waves.

This book provides an overview of the experimental characterization of materials and their numerical modeling, as well as the development of new computational methods for virtual design.

Fractional calculus has emerged as a powerful and effective mathematical tool in the study of several phenomena in science and engineering.

The goal of this book is to facilitate and stimulate cross-disciplinary research in the emerging paradigm of Medical Imaging.

This proceedings volume gathers selected, peer-reviewed papers presented at the Dynamical Systems Theory and Applications International Conference - DSTA 2021, held virtually on December 6-9, 2021, organized by the Department of Automation, Biomechanics, and Mechatronics at Lodz University of Technology, Poland.

This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables.

Fractional calculus has emerged as a powerful and effective mathematical tool in the study of several phenomena in science and engineering.

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.

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.

Mathematical models cannot be solved using the traditional analytical methods for dynamic equations on time scales.

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.

What sets Numerical Methods and Analysis with Mathematical Modelling apart are the modelling aspects utilizing numerical analysis (methods) to obtain solutions.

This book includes a collection of extended papers based on presentations given during the SIMHYDRO 2021 conference, held in Sophia Antipolis in June 2021 with the support of French Hydrotechnic Society (SHF).

This book defines sets of orthogonal polynomials and derives a number of properties satisfied by any such set.

This text presents numerical differential equations to graduate (doctoral) students.

Matrix functions and matrix equations are widely used in science, engineering and social sciences due to the succinct and insightful way in which they allow problems to be formulated and solutions to be expressed.

Since the first edition of this book the literature on fitted mesh methods for singularly perturbed problems has expanded significantly.

This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method.

Domain decomposition (DD) methods provide powerful tools for constructing parallel numerical solution algorithms for large scale systems of algebraic equations arising from the discretization of partial differential equations.

In last thirty years an explosion of interest in the study of nonlinear dynamical systems occured.

The topics in this volume range from basic research in numerical methods to applications in physics, mechanics, engineering, environmental science and other areas.

This is a collection of refereed papers presented at the 4th International Conference on Mathematical Population Dynamics.

This volume contains major lectures given at ENUMATH 99, the 3rd European Conference on Numerical Mathematics and Advanced Applications.

This volume contains the proceedings of the 4th International Conference on Numerical Methods and Applications.

This book provides a clear summary of the work of the author on the construction of nonstandard finite difference schemes for the numerical integration of differential equations.

The book teaches a student to model a scientific problem and write a computer program in C language to solve that problem.

World Scientific Series in Applicable Analysis (WSSIAA) aims at reporting new developments of a high mathematical standard and of current interest.

The splitting extrapolation method is a newly developed technique for solving multidimensional mathematical problems.

This volume is intended to mark the 75th birthday of A R Mitchell, of the University of Dundee.

This book describes adaptive methods of statistical numerical analysis using evaluation of integrals, solution of integral equations, boundary value problems of the theory of elasticity and heat conduction as examples.

Methods of nonlinear time series analysis are discussed from a dynamical systems perspective on the one hand, and from a statistical perspective on the other.

This book introduces the recent developments in the subject of quasilinear hyperbolic systems with dissipation, such as frictional damping, relaxation, viscosity and heat diffusion.

The main purpose of this book is to provide a concise introduction to the methods and philosophy of constructing nonstandard finite difference schemes and illustrate how such techniques can be applied to several important problems.

At the beginning of the new millennium, two unstoppable processes are taking place in the world: (1) globalization of the economy; (2) information revolution.

This series of volumes on the "e;Frontiers of Computational Fluid Dynamics"e; was introduced to honor contributors who have made a major impact on the field.

This book is a collection of selected refereed papers presented at the International Conference on Statistics, Combinatorics and Related Areas, and the Eighth International Conference of the Forum for Interdisciplinary Mathematics.

This invaluable volume is a collection of articles in memory of Jacques-Louis Lions, a leading mathematician and the founder of the Contemporary French Applied Mathematics School.

The series of volumes to which this book belongs honors contributors who have made a major impact in computational fluid dynamics.

This is a comprehensive introduction to Landau-Lifshitz equations and Landau-Lifshitz-Maxwell equations, beginning with the work by Yulin Zhou and Boling Guo in the early 1980s and including most of the work done by this Chinese group led by Zhou and Guo since.

Many problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces.

Compared to other books devoted to matrices, this volume is unique in covering the whole of a triptych consisting of algebraic theory, algorithmic problems and numerical applications, all united by the essential use and urge for development of matrix methods.

The 1947 paper by John von Neumann and Herman Goldstine, "e;Numerical Inverting of Matrices of High Order"e; (Bulletin of the AMS, Nov.

The ISAAC (International Society for Analysis, its Applications and Computation) Congress, which has been held every second year since 1997, covers the major progress in analysis, applications and computation in recent years.

This is a unique monograph on numerical conformal mapping that gives a comprehensive account of the theoretical, computational and application aspects of the problems of determining conformal modules of quadrilaterals and of mapping conformally onto a rectangle.

This book describes the development of a constitutive modeling platform for soil testing, which is one of the key components in geomechanics and geotechnics.