Numerical Methods for Solving Inverse Problems of Mathematical Physics

In traditional courses, solution methods for mathematical physics problems are normally discussed considering direct problems. In this case, the solution is to be found from a partial differential equation supplemented with some boundary and initial conditions. In inverse problems, some of these supplementing elements can be missing. For instance, initial conditions, boundary regimes, coefficients and right-hand sides of the equation can be unknown. Very often, inverse problems appear as classically ill-posed problems requiring some regularization methods to be applied for finding their approximate solution. This book deals with the main classes of inverse problems for mathematical physics equations and numerical methods for solving these problems.