6 Result(s)
within
Chapter
Larisa Beilina
Numerical Analysis
Numerical and Computational Physics, Simulation
-
Chapter
Approximately Globally Convergent Numerical Method
In this chapter, we present our approximately globally convergent numerical method for a multidimensional CIP for a hyperbolic PDE. This method also works for a similar CIP for a parabolic PDE. The numerical m...
-
Chapter
The Adaptive Finite Element Technique and Its Synthesis with the Approximately Globally Convergent Numerical Method
In Chap. 2, we have described our approximately globally convergent numerical method for a CIP for the hyperbolic \( c\,(x)\,{u_{tt}}=\triangle u.\) ...
-
Chapter
Backscattering Data
In Sects. 6.1–6.8 we describe results of [115]. As to the numerical results of Sect. 6.8, Figs. 6.2a, b were published inMethods and Applications of Analysis [116] and are reprinted with permission. Other figures...
-
Chapter
Two Central Questions of This Book and an Introduction to the Theories of Ill-posed and Coefficient Inverse Problems
This is an introductory chapter. In Sect. 1.1, we outline two central questions discussed in this book. Sections 1.2–1.9 are introductory ones to the theory of illposed problems. In Sects. 1.10 and 1.11, we pr...
-
Chapter
Numerical Implementation of the Approximately Globally Convergent Method
In this chapter, we describe our computational implementation of the approximately globally convergent numerical method of Chap. 2. We use the algorithm of Sect. 2.6.1. Theorems 2.8.2 and 2.9.4 ensure the appr...
-
Chapter
Blind Experimental Data
All tables and figures of this chapter were published in Inverse Problems either in [109] or in [28]. All of them are reprinted with permission. In particular, Tables 5.1– 5.5 and 5.6 were published in [109]. Tab...
