This monograph develops adaptive stochastic methods in computational mathematics. The authors discuss the basic ideas of the algorithms and ways to analyze their properties and efficiency. Methods of evaluation of multidimensional integrals and solutions of integral equations are illustrated by multiple examples from mechanics, theory of elasticity, heat conduction and fluid dynamics. Contents Part I: Evaluation of Integrals Fundamentals of the Monte Carlo Method to Evaluate Definite Integrals Sequential Monte Carlo Method and Adaptive Integration Methods of Adaptive Integration Based on Piecewise Approximation Methods of Adaptive Integration Based on Global Approximation Numerical Experiments Adaptive Importance Sampling Method Based on Piecewise Constant Approximation Part II: Solution of Integral Equations Semi-Statistical Method of Solving Integral Equations Numerically Problem of Vibration Conductivity Problem on Ideal-Fluid Flow Around an Airfoil First Basic Problem of Elasticity Theory Second Basic Problem of Elasticity Theory Projectional and Statistical Method of Solving Integral Equations Numerically

Fresh perspectives tourism development 1 offers a new and relevant focus on tourism in line with the government's drive to encourage responsible tourism development in South Africa. Written by a team of experts in the field of tourism development, it looks at tourism not only as a major industry in South Africa, but also as a developmental tool to alleviate urban and rural poverty and create jobs at community level. This book offers new and thought-provoking material on tourism development on the African continent, the attraction selection process, the main tourism destination development models and tourism as a developmental strategy. It also looks at spatial development initiatives in South African tourism development