Computational mathematics : models, methods, and analysis with MATLAB and MPI /: models, methods, and analysis with MATLAB and MPI. (2015)

• Record Type: Book
• Further Information: Note: Robert E. White.
• Authors: White, R. E (Robert Ernest), 1946-
• Contents: Discrete Time–Space Models; Newton Cooling Models; Heat Diffusion in a Wire; Diffusion in a Wire with Little Insulation; Flow and Decay of a Pollutant in a Stream; Heat and Mass Transfer in Two Directions; Convergence Analysis Steady-State Discrete Models; Steady-State and Triangular Solves; Heat Diffusion and Gauss Elimination; Cooling Fin and Tridiagonal Matrices; Schur Complement; Convergence to Steady-State; Convergence to Continuous Model Poisson Equation Models; Steady-State and Iterative Methods; Heat Transfer in 2D Fin and SOR; Fluid Flow in a 2D Porous Medium; Ideal Fluid Flow; Deformed Membrane and Steepest Descent; Conjugate Gradient Method Nonlinear and 3D Models; Nonlinear Problems in One Variable; Nonlinear Heat Transfer in a Wire; Nonlinear Heat Transfer in 2D; Steady-State 3D Heat Diffusion; Time-Dependent 3D Diffusion; High-Performance Computations in 3D FEM and Fluid Flows; FEM and Linear Shape Functions; FEM with Heat and Fluid Flow; Lax–Wendroff Methods; Shallow Water Wave Model; Navier–Stokes Equations; Discrete Navier–Stokes Equations Epidemics, Images, and Money; Epidemics and Dispersion; Epidemic Dispersion in 2D; Image Restoration; Restoration in 2D; Option Contract Models; Black—Scholes Model for Two Assets High-Performance Computing; CPUs and Vector Pipes; Multiprocessor and Multicore Computers; Parallel MATLAB; Parallel MATLAB and SPMD; Introduction to MPI; MPI and Matrix Products Message Passing Interface; Collective Subroutines; Grouped Datatypes; Communicators; Fox Algorithm for AB; Shared Memory and OpenMP; Hybrid MPI/OpenMP Classical Methods for Ax = d ; Gauss Elimination; Symmetric Positive Definite Matrices; Domain Decomposition and MPI; SOR and P-Regular Splittings; SOR and MPI; Parallel ADI Schemes Krylov Methods for Ax = d ; Conjugate Gradient Method; Preconditioners; PCG and MPI; Least Squares; GMRES; GMRES(m) and MPI
• Edition: Second edition
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2015
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 515.3530285; Differential equations, Partial; Computational complexity; Numerical analysis -- Computer programs
• Languages: English
• ISBNs: 9781482235180; 9781482235166; 9781482235173
• Related ISBNs: 9781482235159
• Notes: Note: Description based on CIP data; item not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.