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[КНИГА][B] Inverse engineering handbook
KA Woodbury - 2002 - taylorfrancis.com
Inverse problems have been the focus of a growing number of research efforts over the last
40 years-and rightly so. The ability to determine a" cause" from an observed" effect" is a …
40 years-and rightly so. The ability to determine a" cause" from an observed" effect" is a …
Fourier regularization for a backward heat equation
CL Fu, XT **ong, Z Qian - Journal of Mathematical Analysis and …, 2007 - Elsevier
In this paper a simple and convenient new regularization method for solving backward heat
equation—Fourier regularization method is given. Meanwhile, some quite sharp error …
equation—Fourier regularization method is given. Meanwhile, some quite sharp error …
A survey of regularization methods for first-kind Volterra equations
PK Lamm - Surveys on solution methods for inverse problems, 2000 - Springer
We survey continuous and discrete regularization methods for first-kind Volterra problems
with continuous kernels. Classical regularization methods tend to destroy the non …
with continuous kernels. Classical regularization methods tend to destroy the non …
[HTML][HTML] Tikhonov regularization method for a backward problem for the time-fractional diffusion equation
This paper is devoted to solve a backward problem for a time-fractional diffusion equation
with variable coefficients in a general bounded domain by the Tikhonov regularization …
with variable coefficients in a general bounded domain by the Tikhonov regularization …
Schr\" odingerisation based computationally stable algorithms for ill-posed problems in partial differential equations
We introduce a simple and stable computational method for ill-posed partial differential
equation (PDE) problems. The method is based on Schr\" odingerization, introduced in [S …
equation (PDE) problems. The method is based on Schr\" odingerization, introduced in [S …
Optimal stable approximations for the sideways heat equation
U Tautenhahn - 1997 - degruyter.com
In this paper we consider the following ill-posed Cauchy problem for the heat equation in the
half-plane: given noisy data us (L, i) to u (x, i) along the line χ= L, determine the solution u (x …
half-plane: given noisy data us (L, i) to u (x, i) along the line χ= L, determine the solution u (x …
On the power of adaption
E Novak - Journal of Complexity, 1996 - Elsevier
Optimal error bounds for adaptive and nonadaptive numerical methods are compared. Since
the class of adaptive methods is much larger, a well-chosen adaptive method might seem to …
the class of adaptive methods is much larger, a well-chosen adaptive method might seem to …
Two regularization methods for a Cauchy problem for the Laplace equation
Z Qian, CL Fu, ZP Li - Journal of Mathematical Analysis and Applications, 2008 - Elsevier
A Cauchy problem for the Laplace equation in a rectangle is considered. Cauchy data are
given for y= 0, and boundary data are for x= 0 and x= π. The solution for 0< y⩽ 1 is sought …
given for y= 0, and boundary data are for x= 0 and x= π. The solution for 0< y⩽ 1 is sought …
On a backward heat problem with time-dependent coefficient: Regularization and error estimates
In this paper, we consider a homogeneous backward heat conduction problem which
appears in some applied subjects. This problem is ill-posed in the sense that the solution (if …
appears in some applied subjects. This problem is ill-posed in the sense that the solution (if …
Mollification and marching
DA Murio - Inverse engineering handbook, 2002 - books.google.com
The mollification method is a regularization procedure that is appropriate to stabilize a
variety of ill-posed problems by restoring continuity with respect to the data. The method can …
variety of ill-posed problems by restoring continuity with respect to the data. The method can …