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[Abstract = "Recent developments in computer simulations of phase transitions in Ising-like systems andthermodynamic behaviour of quantum spin chains are reviewed. A combination of stochasticMonte Carlo as well as deterministic transfer matrix and finite-size diagonalization methodsis described in both fields as regards static properties. Asymptotic analysis and extrapolationtechniques are presented in detail. Some effective-field methods, series expansions, spindynamics simulations and experimental applications are also discussed."]