chapter 1 Sequential methods in parameter estimation* -- chapter 2 Sequential function specification method using future times for function estimation -- chapter 3 The adjoint method to compute the numerical solutions of inverse problems -- chapter 4 Mollification and space marching -- chapter 5 Inverse heat conduction using Monte Carlo method -- chapter 6 Boundary element techniques for inverse problems -- chapter 7 The effect of correlations and uncertain parameters on the efficiency of estimating and the precision of estimated parameters -- chapter 8 Optimal experiment design to solve inverse heat transfer problems.