Found 32 Documents (Results 1–32)
Calculation of the gradient of Tikhonov’s functional in solving coefficient inverse problems for linear partial differential equations. (English) Zbl 1491.65172
Effective algorithms for computing global and local posterior error estimates of solutions to linear ill-posed problems. (English. Russian original) Zbl 1441.47008
Russ. Math. 64, No. 2, 26-34 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 2, 29-38 (2020).
A new algorithm for a posteriori error estimation for approximate solutions of linear ill-posed problems. (English. Russian original) Zbl 1457.65025
Comput. Math. Math. Phys. 59, No. 2, 193-200 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 2, 203-210 (2019).
Solution of the inverse elastography problem for parametric classes of inclusions with a posteriori error estimate. (English) Zbl 1397.65237
Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola)
On possibility of obtaining linear accuracy evaluation of approximate solutions to inverse problems. (English. Russian original) Zbl 1370.65029
Russ. Math. 60, No. 10, 23-28 (2016); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 10, 29-35 (2016).
Reviewer: Bangti Jin (London)
Regularizing algorithms with optimal and extra-optimal quality. (Russian, English) Zbl 1374.65097
Sib. Zh. Vychisl. Mat. 19, No. 4, 371-383 (2016); translation in Numer. Analysis Appl. 9, No. 4, 288-298 (2016).
Linear estimates of accuracy for approximate solutions of inverse problems. (English) Zbl 1310.47080
Which of inverse problems can have a priori approximate solution accuracy estimates comparable in order with the data accuracy. (Russian, English) Zbl 1340.65116
Sib. Zh. Vychisl. Mat. 17, No. 4, 339-348 (2014); translation in Numer. Analysis Appl. 7, No. 4, 284-292 (2014).
Can an a priori error estimate for an approximate solution of an ill-posed problem be comparable with the error in data? (Russian, English) Zbl 1313.65129
Zh. Vychisl. Mat. Mat. Fiz. 54, No. 4, 562- 568 (2014); translation in Comput. Math. Math. Phys. 54, No. 4, 575-581 (2014).
A posteriori accuracy estimations of solutions of ill-posed inverse problems and extra-optimal regularizing algorithms for their solution. (Russian, English) Zbl 1299.65115
Sib. Zh. Vychisl. Mat. 15, No. 1, 83-100 (2012); translation in Numer. Analysis Appl. 5, No. 1, 68-83 (2012).
On elimination of accuracy saturation of regularizing algorithms. (Russian. English summary) Zbl 1212.65217
Regularization of ill-posed problems in Sobolev space \(W^1 _1\). (English) Zbl 1101.47048
Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola)
Adaptive optimal algorithms for ill-posed problems with sourcewise represented solutions. (English. Russian original) Zbl 1022.65065
Comput. Math. Math. Phys. 41, No. 6, 807-824 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 6, 855-873 (2001).
Reviewer: Alexey Tret’yakov (Siedlce)
Optimal methods for the solution of ill-posed problems with sourcewise represented solutions. (Russian. English summary) Zbl 0962.65046
Special regularizing methods for ill-posed problems with sourcewise represented solutions. (English) Zbl 0916.65056
Reviewer: R.Plato (Berlin)
Nonlinear ill-posed problems. Transl. from the Russian. Vol. 1 and 2. (English) Zbl 0920.65038
Applied Mathematics and Mathematical Computation. 14. London: Chapman & Hall. xxii, 387 p. (1998).
Reviewer: R.Plato (Berlin)
Application of functions of several variables with limited variations for piecewise uniform regularization of ill-posed problems. (English) Zbl 0914.65068
Reviewer: Wenhuan Yu (Tianjin)
Nonlinear incorrect problems. (Nelinejnye nekorrektnye zadachi.) (Russian. English summary) Zbl 0856.65066
Moskva: Nauka. Fizmatlit. 310 p. (1995).
Reviewer: A.Filinkov (Adelaide)
Pseudo-optimal choice of parameter in the regularization method. (English. Russian original) Zbl 1026.65509
Comput. Math. Math. Phys. 35, No. 7, 825-836 (1995); translation from Zh. Vychisl. Mat. Mat. Fiz. 35, No. 7, 1034-1049 (1995).
Some a posteriori termination rules for the iterative solution of linear ill-posed problems. (English. Russian original) Zbl 0820.65023
Comput. Math. Math. Phys. 34, No. 1, 121-126 (1994); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 1, 148-154 (1994).
On quasioptimum selection of the regularization parameter in M. M. Lavrent’ev’s method. (English. Russian original) Zbl 0874.65043
Sib. Math. J. 34, No. 4, 695-703 (1993); translation from Sib. Mat. Zh. 34, No. 4, 117-126 (1993).
Reviewer: P.C.Sinha (Patna)
Tikhonov’s approach for constructing regularizing algorithms. (English) Zbl 0785.65070
Tikhonov, Andrej N. (ed.) et al., Ill-posed problems in natural sciences. Proceedings of the international conference held in Moscow (Russia), August 19-25, 1991. Utrecht: VSP. 71-83 (1992).
On the accuracy of Tikhonov regularizing algorithms and quasioptimal selection of a regularization parameter. (English. Russian original) Zbl 0803.49028
Sov. Math., Dokl. 44, No. 3, 711-716 (1992); translation from Dokl. Akad. Nauk SSSR 321, No. 3, 460-465 (1991).
Reviewer: C.Simionescu
On the solution of linear ill-posed problems on the basis of a modified quasioptimality criterion. (English) Zbl 0601.65034
On the solution of linear ill-posed problems on the basis of a modified quasioptimality criterion. (Russian) Zbl 0551.65037
Reviewer: T.Reginska
Choice of regularization parameter for non-linear ill-posed problems with approximately specified operator. (English. Russian original) Zbl 0454.65044
U.S.S.R. Comput. Math. Math. Phys. 19, No. 6, 1-15 (1980); translation from Zh. Vychislit. Mat. Mat. Fiz. 19, 1363-1376 (1979).
On the choice of regularization parameters by means of the quasi- optimality and ratio criteria. (English. Russian original) Zbl 0435.65055
Sov. Math., Dokl. 19, 537-540 (1978); translation from Dokl. Akad. Nauk SSSR 240, 18-20 (1978).
Filter Results by …
Document Type
- Journal Articles (29)
- Collection Articles (1)
- Books (2)
Author
all
top 5
Serial
- J. Inverse Ill-Posed Probl. (5)
- Comput. Math. Math. Phys. (4)
- Sib. Zh. Vychisl. Mat. (4)
- Zh. Vychisl. Mat. Mat. Fiz. (3)
- Sov. Math., Dokl. (2)
- U.S.S.R. Comput. Math. Math. Phys. (2)
- Russ. Math. (2)
- Appl. Anal. (1)
- Inverse Probl. (1)
- Mat. Sb., Nov. Ser. (1)
- Sib. Math. J. (1)
- Math. USSR, Sb. (1)
- Fundam. Prikl. Mat. (1)
- Mat. Model. (1)
- Appl. Math. Math. Comput. (1)