Decomposition Methods in Multiphysics and Multiscale Problems: Models and Simulation (Physics Research and Technology)

Hardcover, xi + 183 pages, NOT ex-library. A clean and bright copy with unmarked text and firm binding, free of inscriptions and stamps. Published without a dust jacket. -- Contents: 1 Introduction 2 Analytical and Numerical Solutions for Convection-Diffusion-Dispersion-Reaction Equations with General Initial-Conditions: Theory and Applications [Mathematical Model; Time and Spatial Decomposition Methods; Discretization; Analytical Solutions; Numerical Experiments (Transported Triangle (One-Dimensional Problem); Rotating Pyramid; Realistic Simulations); Conclusions and Discussions] 3 Modified Operator Splitting Methods and Applications to Pathway Models [Mathematical Model (Transport Model; Pathway Model); Decomposition Method (Accelerated Iterative Operator Splitting Methods; Analytical Examples for Iterative Splitting Methods); Experiment for the Sputter Process (Benchmark Problem 1; Benchmark 2: 2 x 2 Matrix; Sputter Reactions: Experiment 1; Experiment 3: Realistic Example (10 x 10)); Conclusions and Discussions; Appendix] 4 Embedded Linearization Techniques for an Iterative Splitting Method and Application to a Model for Particle Transport [Mathematical Model for Kinetic Problems; Operator Splitting Methods as Code Coupling Schemes (Time Dependent Iterative Splitting Method; Linearization Schemes for the Time Dependent Iterative Scheme); Experiment for the Plasma Reactor (Test-Example: Bernoulli Equation (n=3) & General Bernoulli Equation with n = 9 & Convection-Diffusion-Reaction Equation with Non-linear Reaction; Simplified Model for the Collision Process in the Plasma Reactor)] 5 Transport and Chemical Reaction: Characteristics Method and Splitting Methods [Mathematical Model; Discretization and Solver Methods (Finite Volume Methods; Numerical Solution of the Advection Equation; Analytical Solution to a System of Ordinary Differential Equations of First Order; Numerical Methods for ODEs; Computation of Mass Conservation); Splitting Methods (First Order for Linear Equations (A-B-Splitting); Iterative Splitting Method; Iterative Splitting Method with Embedded Multigrid Methods; Prolongation and Restriction Operators; Iterative Solvers: Waveform Relaxation); Numerical Experiments: Microscopic Models (One Dimensional Particle Model: Reaction Model; Heavy Particle Model: Transport Model; Heavy-Particle Model (One-Dimensional Velocity)); Appendix (Matlab Commands & Codes)] 6 Operator-Splitting Methods via Zassenhaus PFormula [Operator Splitting Methods; Higher Order Operator Splitting Methods (Classical Operator Splitting Errors; Higher order A-B splitting by Initialization; Higher Order A-B-A Splitting by Accelerating the Subproblems via Weighted Polynomials; Higher Order A-B-A Splitting Based on Zassenhaus Product Formula; Higher Order Iterative Splitting Based on Zassenhaus Product Formula); Extended Splitting Method Based on Zassenhaus-Formula; Balancing of Time and Spatial Discretization; Improved Iterative Splitting Method by Embedded Zassenhaus-Formula; Numerical Examples; Appendix: Zassenhaus Product Formula] 7 Iterative Operator Splitting Methods for Navier Stokes: Molecular Dynamics Simulation [Mathematical Model; Iterative Splitting Method; Molecular-Level Shear Stress Computation; Numerical Results (Time-Dependent Channel Flow Simulation; Dual-Time Stepping Method with Viscosity Averaging)] 8 Outlook; Literature; Index.…