دانلود کتاب Inverse Stefan problems

فهرست مطالب :

Basic Designations --
1 Statements of Quasilinear Inverse Stefan Problems --
1.1 Classification of ill-posed inverse Stefan problems and their applications --
1.2 One-phase boundary inverse Stefan problems with given phase boundaries --
1.3 One-phase boundary inverse Stefan problems with unknown phase boundaries --
1.4 Boundary inverse Stefan problems in the two-phase case --
1.5 Coefficient inverse Stefan problems --
2 The Regularization Variational Method for Solving Inverse Stefan Problems --
2.1 Construction of approximate solutions on the basis of the quasi-solution method --
2.2 Stability of approximate solutions --
2.3 Differentiability of functionals in the variational formulations of inverse Stefan problems --
3 Algorithms for the Numerical Solution of Inverse Stefan Problems --
3.1 Principles of construction of algorithms --
3.2 Numerical solution of the one-phase inverse Stefan problems with given phase boundaries. Determination of boundary regimes for continuous casting --
3.3 Descriptive regularization algorithms for boundary inverse Stefan problems with unknown phase boundaries --
3.4 Numerical solution of coefficient inverse Stefan problems. Determination of the intensity of laser sources --
4 Properties of Operator Representations of Inverse Stefan Problems --
4.1 On classical solvability of quasilinear moving boundary problems --
4.2 A priori estimates of Hölder norms for the differential-difference analogs of linear parabolic equations --
4.3 Unique solvability in the Hölder spaces of the differential-difference analogs of the quasilinear boundary-value problems --
4.4 Global existence, uniqueness and stability in the Hölder spaces for the direct quasilinear Stefan problems.