Proper Orthogonal Decomposition Methods for Partial Differential Equations (Mathematics in Science and Engineering) - Image 1

£98.89

Academic Press Proper Orthogonal Decomposition Methods for Partial Differential Equations (Mathematics in Science and Engineering)

Name: Proper Orthogonal Decomposition Methods for Partial Differential Equations (Mathematics in Science and Engineering)
Brand: Academic Press
Price: 98.89 GBP
Availability: InStock

Applied Mathematics

Price History & Forecast

Last 40 days • 40 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 40 days • 1 price levels

Days at Price

Price Analysis

Most common price: £99 (40 days, 100.0%)

Price range: £99 - £99

Price levels: 1 different prices over 40 days

Description

Product Description Proper Orthogonal Decomposition Methods for Partial Differential Equations evaluates the potential applications of POD reduced-order numerical methods in increasing computational efficiency, decreasing calculating load and alleviating the accumulation of truncation error in the computational process. Introduces the foundations of finite-differences, finite-elements and finite-volume-elements. Models of time-dependent PDEs are presented, with detailed numerical procedures, implementation and error analysis. Output numerical data are plotted in graphics and compared using standard traditional methods. These models contain parabolic, hyperbolic and nonlinear systems of PDEs, suitable for the user to learn and adapt methods to their own R&D problems. Explains ways to reduce order for PDEs by means of the POD method so that reduced-order models have few unknowns Helps readers speed up computation and reduce computation load and memory requirements while numerically capturing system characteristics Enables readers to apply and adapt the methods to solve similar problems for PDEs of hyperbolic, parabolic and nonlinear types Review "This book details the application of the Proper Orthogonal Decomposition (POD) to instationary problems whose spatial semidiscretization is done either by Finite Difference (FD), Finite Element (FE) or Finite Volume (FV) methods. These three discretization methods correspond to the 3 main chapters of the book." --zbMATH Review This guide evaluates the potential applications of the Proper Orthogonal Decomposition (POD) reduced-order numerical methods for time-dependent partial differential equations From the Back Cover Proper Orthogonal Decomposition Methods for Partial Differential Equations evaluates the potential applications of POD reduced-order numerical methods in increasing computational efficiency, decreasing calculating load, and alleviating the accumulation of truncation error in the computational process. The work is self-contained. At the beginning of each chapter, the foundations of finite-differences, finite-elements and finite-volume-elements are introduced. Models are time-dependent PDEs are presented, with detailed numerical procedures, implementation and error analysis. Output numerical data are plotted in graphics and compared with those by the standard traditional methods. These models contain parabolic, hyperbolic and nonlinear systems of PDEs suitable for the user to learn and adapt methods to their own problems across research and development. About the Author Zhendong Luo is Professor of Mathematics at North China Electric Power University, Beijing, China. Luo is heavily involved in the areas of Optimizing Numerical Methods of PDEs; Finite Element Methods; Finite Difference Scheme; Finite Volume Element Methods; Spectral-Finite Methods; and Computational Fluid Dynamics. For the last 12 years, Luo has worked mainly on Reduced Order Numerical Methods based on Proper Orthogonal Decomposition Technique for Time Dependent Partial Differential Equations.

Product Specifications

Brand: Academic Press
Format: Paperback
ASIN: 012816798X
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Applied Mathematics
Domain: Amazon UK
Release Date: 07 December 2018
Listed Since: 27 July 2018

Barcode

No barcode data available

Academic Press Proper Orthogonal Decomposition Methods for Partial Differential Equations (Mathematics in Science and Engineering)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods

Partial Differential Equations and the Finite Element Method (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods

Partial Differential Equations: Modelling and Numerical Simulation: 16 (Computational Methods in Applied Sciences, 16)

Introduction to Numerical Methods for Time Dependent Differential Equations

Numerical Solution Of Ordinary And Partial Differential Equations, The (3rd Edition)

Computational Partial Differential Equations Using MATLAB® (Textbooks in Mathematics)

Computational Partial Differential Equations Using MATLAB® (Textbooks in Mathematics)

Numerical Time-Dependent Partial Differential Equations for Scientists and Engineers: Volume 213 (Mathematics in Science and Engineering, Volume 213)

Mathematical Theory of Subdivision: Finite Element and Wavelet Methods

Numerical Differential Equations: Theory And Technique, Ode Methods, Finite Differences, Finite Elements And Collocation

Springer Partial Differential Equations - Numerical Simulation

The Hybrid High-Order Method for Polytopal Meshes: Design, Analysis, and Applications: 19 (MS&A, 19)

Partial Differential Equations: Mathematical Techniques for Engineers (Mathematical Engineering)

Domain Decomposition Methods for Nonconforming Finite Element Discretizations

Introduction to Partial Differential Equations with MATLAB (Applied and Numerical Harmonic Analysis)

Dirichlet–Dirichlet Domain Decomposition Methods for Elliptic Problems: h and hp Finite Element Discretizations

Variational Techniques for Elliptic Partial Differential Equations: Theoretical Tools and Advanced Applications

Nonlinear Differential Equations in Physics: Novel Methods for Finding Solutions

Differential Equation Analysis in Biomedical Science and Engineering: Partial Differential Equation Applications with R

Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods

Differential Equations: A Problem Solving Approach Based on MATLAB

Certified Reduced Basis Methods for Parametrized Partial Differential Equations (SpringerBriefs in Mathematics)

Academic Press ODE/PDE Analysis of Antibiotic Resistance in R