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 Landau Gauge Mean Link Tadpole Improvement Factors.- Reversibility and Instabilities in Hybrid Monte Carlo Simulations.- A Finite Baryon Density Algorithm.- The Nucleon Mass in Chiral Effective Field Theory.- Computational Methods.- A Modular Iterative Solver Package in a Categorical Language.- Iterative Linear System Solvers with Approximate Matrix-vector Products.- What Can Lattice QCD Theorists Learn from NMR Spectroscopists?.- Numerical Methods for the QCD Overlap Operator: II. Optimal Krylov SubspaceMethods.- Fast Evaluation of Zolotarev Coefficients.- The Overlap Dirac Operator as a Continued Fraction.