Basic Concepts -- Problem Formulations -- Convex and Lagrangian Relaxations -- Decomposition Methods -- Semidefinite Relaxations -- Convex Underestimators -- Cuts, Lower Bounds and Box Reduction -- Local and Global Optimality Criteria -- Adaptive Discretization of Infinite Dimensional MINLPs -- Algorithms -- Overview of Global Optimization Methods -- Deformation Heuristics -- Rounding, Partitio…
Heuristic Search for Network Design -- Polyhedral Combinatorics -- Constraint Languages for Combinatorial Optimization -- A Tutorial on Radiation Oncology and Optimization -- Parallel Algorithm Design for Branch and Bound -- Computer-Aided Design for Electrical and Computer engineering -- Nonlinear Programming and Engineering Applications -- Connecting MRP, MRP II and ERP — Supply Chain Produ…
Preface -- A. Friedman: Introduction to Neurons -- D. Terman: An Introduction to Dynamical Systems and Neuronal Dynamics -- B. Ermentrout: Neural Oscillators -- A. Borisyuk: Physiology and Mathematical Modeling of the Auditory System.This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapte…
Best Poisson Approximation of Poisson Mixtures. A Linear Operator Approach -- On Some Classes of Diffusion Equations and Related Approximation Problems -- Recent Developments in Barycentric Rational Interpolation -- Approximation on Simplices and Orthogonal Polynomials -- (0, 2) Pál-type Interpolation: A General Method for Regularity -- Sufficient Convergence Conditions for Certain Accelerated…
Inverse Problems and Interpretation of Measurements -- Classical Regularization Methods -- Statistical Inversion Theory -- Nonstationary Inverse Problems -- Classical Methods Revisited -- Model Problems -- Case Studies.The book develops the statistical approach to inverse problems with an emphasis on modeling and computations. The framework is the Bayesian paradigm, where all variables are mode…
to Quantum Trajectories -- The Bohmian Route to the Hydrodynamic Equations -- The Phase Space Route to the Hydrodynamic Equations -- The Dynamics and Properties of Quantum Trajectories -- Function and Derivative Approximation on Unstructured Grids -- Applications of the Quantum Trajectory Method -- Adaptive Methods for Trajectory Dynamics -- Quantum Trajectories for Multidimensional Dynamics --…
Surveys -- An Introduction to Lattice Chiral Fermions -- Computing f(A)b for Matrix Functions f -- Computational Methods for the Fermion Determinant and the Link Between Overlap and Domain Wall Fermions -- Monte Carlo Simulations of Lattice QCD -- Lattice QCD -- Determinant and Order Statistics -- Monte Carlo Overrelaxation for SU(N) Gauge Theories -- Improved Staggered Fermions -- Perturbative…
Contents -- General Preface -- Labels and Abbreviations -- Chapter I. Systems of Linear Algebraic Equations -- Chapter II. Systems of Linear Algebraic Equations -- Chapter III. Linear Integral Equations -- References -- Application -- Index -- Glossary of Symbols.This book presents the author’s new method of two-stage maximization of likelihood function, which helps to solve a series of non-s…
The QR Algorithm -- The QZ Algorithm -- The Krylov-Schur Algorithm -- Structured Eigenvalue Problems -- Background in Control Theory Structured Eigenvalue Problems -- Software.The purpose of this book is to describe recent developments in solving eig- value problems, in particular with respect to the QR and QZ algorithms as well as structured matrices. Outline Mathematically speaking, the eigen…
Preliminary general material -- Steady-State Problems -- Pseudomonotone or weakly continuous mappings -- Accretive mappings -- Potential problems: smooth case -- Nonsmooth problems; variational inequalities -- Systems of equations: particular examples -- Evolution Problems -- Special auxiliary tools -- Evolution by pseudomonotone or weakly continuous mappings -- Evolution governed by accretive …