Found 274 Documents (Results 1–100)
A study of a posteriori stopping in iteratively regularized Gauss-Newton-type methods for approximating quasi-solutions of irregular operator equations. (English. Russian original) Zbl 07640114
Russ. Math. 66, No. 2, 24-35 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 2, 29-42 (2022).
Accuracy estimation for a class of iteratively regularized Gauss-Newton methods with a posteriori stopping rule. (English. Russian original) Zbl 1480.65132
Comput. Math. Math. Phys. 61, No. 12, 1931-1942 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 12, 1974-1985 (2021).
Convergence rates for boundedly regular systems. (English) Zbl 1483.34081
Reviewer: Valerii V. Obukhovskij (Voronezh)
Optimal energy decay rates for abstract second order evolution equations with non-autonomous damping. (English) Zbl 1468.35020
An adaptive nested source term iteration for radiative transfer equations. (English) Zbl 1437.65183
Reviewer: Bülent Karasözen (Ankara)
Stability of linear equations with differentiable operators in a Hilbert space. (English) Zbl 1436.93115
Some lower bound estimates for resolvents of a compact operator on an infinite-dimensional Hilbert space. (English) Zbl 1498.47014
Reviewer: Costică Moroşanu (Iaşi)
Unified error analysis for nonconforming space discretizations of wave-type equations. (English) Zbl 1466.65135
Reviewer: Bülent Karasözen (Ankara)
On separability and coercive solvability of second-order nonlinear differential equations in the weight space. (Russian. English summary) Zbl 1455.35055
The viscosity method for the implicit double midpoint rule with numerical results and its applications. (English) Zbl 1438.47134
Positive functionals induced by minimizers of causal variational principles. (English) Zbl 1419.49056
Reviewer: Alfred Göpfert (Leipzig)
Viscosity approximation methods for a class of generalized split feasibility problems with variational inequalities in Hilbert space. (English) Zbl 1412.58008
Application of Riemann-Hilbert problem solutions to a study of nonlinear boundary value problems for Timoshenko type inhomogeneous shells with free edges. (English) Zbl 1404.35313
Sharp uniqueness results for discrete evolutions. (English) Zbl 1400.34101
Gesztesy, Fritz (ed.) et al., Non-linear partial differential equations, mathematical physics, and stochastic analysis. The Helge Holden anniversary volume on the occasion of his 60th birthday. Based on the presentations at the conference ‘Non-linear PDEs, mathematical physics and stochastic analysis’, NTNU, Trondheim, Norway, July 4–7, 2016. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-186-6/hbk; 978-3-03719-686-1/ebook). EMS Series of Congress Reports, 423-436 (2018).
MSC:
34G10
Coercive estimates and separation for partial differential operators in Hilbert spaces associated with the existence and uniqueness theorem. (English) Zbl 1469.35100
Approximation of solutions to a delay equation with a random forcing term and non local conditions. (English) Zbl 1355.34100
Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings. (English) Zbl 1367.65089
Reviewer: Armin Hoffmann (Ilmenau)
Solvability of differential realization of minimum dynamic order for a family of nonlinear input-output processes in Hilbert space. (English. Russian original) Zbl 1316.93033
Differ. Equ. 51, No. 4, 533-547 (2015); translation from Differ. Uravn. 51, No. 4, 524-537 (2015).
A simple algorithm for computing projection onto intersection of finite level sets. (English) Zbl 1335.58013
A new hybrid projection algorithm for solving the split generalized equilibrium problems and the system of variational inequality problems. (English) Zbl 1305.65164
On solvability of non-local boundary value problem for differential-operator equation in refined Sobolev scale. (Ukrainian. English summary) Zbl 1313.58012
Multi-parameter Tikhonov regularization – an augmented approach. (English) Zbl 1309.65065
Reviewer: Robert Plato (Siegen)
Goal oriented adaptivity in the IRGNM for parameter identification in PDEs. II: All-at-once formulations. (English) Zbl 1304.65154
Reviewer: Robert Plato (Siegen)
Goal oriented adaptivity in the IRGNM for parameter identification in PDEs: I. Reduced formulation. (English) Zbl 1303.65044
Reviewer: Robert Plato (Siegen)
Two-sided bounds for eigenvalues of differential operators with applications to Friedrichs, Poincaré, trace, and similar constants. (English) Zbl 1287.35050
On a problem for operator-differential second-order equations with nonlocal boundary condition. (English. Russian original) Zbl 1286.34085
Math. Notes 94, No. 3, 330-334 (2013); translation from Mat. Zametki 94, No. 3, 349-353 (2013).
Best proximity pair and coincidence point theorems for nonexpansive set-valued maps in Hilbert spaces. (English) Zbl 1326.47071
Reviewer: Monica-Felicia Bota (Cluj-Napoca)
On convergence rates for iteratively regularized procedures with linear penalty terms. (English) Zbl 1257.65027
Reviewer: Peter Zabreiko (Minsk)
Convergence of projection algorithms to approximate solutions of convex feasibility problems. (English) Zbl 1369.65069
An iterative thresholding algorithm for linear inverse problems with multi-constraints and its applications. (English) Zbl 1238.65046
Reviewer: Robert Plato (Siegen)
On the spectral stability of functional-differential equations. (English. Russian original) Zbl 1291.35148
Math. Notes 90, No. 6, 867-881 (2011); translation from Mat. Zametki 90, No. 6, 885-901 (2011).
Hybrid over-relaxed proximal point procedure and applications. (English) Zbl 1256.65044
Reviewer: Ctirad Matonoha (Prague)
Galerkin and Runge-Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence. (English) Zbl 1228.65125
Reviewer: Fernando Casas (Castellon)
Inverse problems with a priori information. (English) Zbl 1218.65051
Wang, Yanfei (ed.) et al., Optimization and regularization for computational inverse problems and applications. Invited papers based on the presentations at the first international workshop, Beijing, China, July 21–25, 2008. Berlin: Springer; Beijing: Higher Education Press (ISBN 978-3-642-13741-9/hbk; 978-7-04-028515-4/hbk). 35-64 (2010).
Rayleigh-Ritz majorization error bounds with applications to FEM. (English) Zbl 1201.65054
Reviewer: Georg Hebermehl (Berlin)
On multipoint nonlocal boundary value problems for hyperbolic differential and difference equations. (English) Zbl 1201.65128
Reviewer: Rolf Dieter Grigorieff (Berlin)
General iterative algorithm for nonexpansive semigroups and variational inequalities in Hilbert spaces. (English) Zbl 1184.49014
Implicit iterative algorithms for asymptotically nonexpansive mappings in the intermediate sense and Lipschitz-continuous monotone mappings. (English) Zbl 1188.65076
Reviewer: Erwin Schechter (Moers)
The best constant of Sobolev inequality corresponding to a bending problem of a beam on an interval. (English) Zbl 1209.34016
Reviewer: Antonio Linero Bas (Murcia)
A parameter choice strategy for a multi-level augmentation method solving ill-posed operator equations. (English) Zbl 1172.65025
Reviewer: Otu Vaarmann (Tallinn)
Approximation and variational methods for regularization of ill-posed problems. (English. Russian original) Zbl 1147.49031
Dokl. Math. 77, No. 2, 208-211 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 419, No. 2, 174-178 (2008).
MSC:
49N60
Equations \(ax = c\) and \(xb = d\) in rings and rings with involution with applications to Hilbert space operators. (English) Zbl 1149.47011
Reviewer: Mohammad Sal Moslehian (Mashhad)
Global existence and decay of solutions of a damped Kirchhoff-Carrier equation in Banach spaces. (English) Zbl 1157.35435
Introduction to stochastic analysis and Malliavin calculus. (English) Zbl 1163.60001
Appunti. Scuola Normale Superiore di Pisa (Nuova Serie) 6. Pisa: Edizioni della Normale (ISBN 978-88-7642-313-0/pbk). xvi, 187 p. (2007).
Reviewer: Michael Högele (Berlin)
Solving the abstract stochastic Cauchy problem with a generator of an \(R\)-semigroup. (Russian) Zbl 1196.60111
Reviewer: Constantin Vârsan (Bucureşti)
MSC:
60H15
The discretized discrepancy principle under general source conditions. (English) Zbl 1095.65046
Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola)
New a priori FEM error estimates for eigenvalues. (English) Zbl 1111.65100
Reviewer: Michael Jung (Dresden)
Approximation of solutions to non-local history-valued retarded differential equations. (English) Zbl 1098.65057
Reviewer: Krzysztof Moszyński (Warszawa)
Stable iteratively regularized gradient method for nonlinear irregular equations under large noise. (English) Zbl 1093.65053
Reviewer: János Karátson (Budapest)
On convex feasibility problems. (English) Zbl 1100.65048
Reviewer: Boris V. Loginov (Ul’yanovsk)
Abstract stochastic integro-differential delay equations. (English) Zbl 1105.60045
Reviewer: Maria Stolarczyk (Katowice)
MSC:
60H20
The asymptotic behavior of the composition of two resolvents. (English) Zbl 1075.47033
Reviewer: Sotiris K. Ntouyas (Ioannina)
On asymptotic stability of differential and difference equations. (Serbian) Zbl 1091.65082
Vujić, Slobodan (ed.), 31st symposium on operations research, SYM-OP-IS 2004, Iriški Venac, Fruška Gora, Serbia and Montenegro, September 14–17, 2004. Proceedings. Beograd: Planeta print (ISBN 86-7352-123-8). 279-282 (2004).
Reviewer: Dejan Bojović (Kragujevac)
Essentially infinite-dimensional evolution equations. (English) Zbl 1074.37036
Ukr. Mat. Zh. 56, No. 2, 214-220 (2004) and Ukr. Math. J. 56, No. 2, 264-273 (2004).
Reviewer: Kochubei, A. N. (Kyïv)
Simultaneous usage of node and vector finite elements for calculating three-dimensional non-stationary electromagnetic fields. (Russian) Zbl 1108.78015
Reviewer: V. I. Pinchukov (Novosibirsk)
Lavrentiev regularization for linear ill-posed problems under general source conditions. (English) Zbl 1063.65041
Reviewer: Robert Plato (Berlin)
Regularization of discrete ill-posed problems. (English) Zbl 1058.65057
Reviewer: Robert Plato (Berlin)
On the solvability of Hamilton’s equations in Hilbert spaces. (English) Zbl 1069.34084
Reviewer: Etienne Emmrich (Berlin)
The asymptotic behavior of solutions to an inverse problem for differential operator equations. (English) Zbl 1073.35208
Scale-type-estimates for a generalized method of Lavrentiev regularization. (English) Zbl 1057.65032
Reviewer: Robert Plato (Berlin)
The regulator problem for a singular control system. (English) Zbl 1062.93027
Ruiz Goldstein, Gisèle (ed.) et al., Evolution equations. Proceedings of the conference, Blaubeuren, Germany, June 11–17, 2001 in honor of the 60th birthdays of Philippe Bénilan, Jerome A. Goldstein and Rainer Nagel. New York, NY: Marcel Dekker (ISBN 0-8247-0975-6/pbk). Lect. Notes Pure Appl. Math. 234, 191-201 (2003).
Reviewer: Ryszard Gessing (Gliwice)
On Lavrentiev regularization for ill-posed problems in Hilbert scales. (English) Zbl 1063.65040
Reviewer: Robert Plato (Berlin)
On one problem for the statics equations of elastic-deformed porous media in a half-plane. (English) Zbl 1075.35521
Approximating fixed points of infinite nonexpansive mappings by the hybrid method. (English) Zbl 1033.65037
Reviewer: Yu Wenhuan (Tianjin)
Self-regularization of projection methods with a posteriori discretization level choice for severely ill-posed problems. (English) Zbl 1030.65057
Reviewer: Robert Plato (Berlin)
Backward uniqueness and unique continuation for evolution inequalities governed by subdifferentials. (English) Zbl 1028.35035
Reviewer: J.Y.Park (Pusan)
Geometric aspects of Riemann-Hilbert problems. (English) Zbl 1091.30040
Reviewer: Heinrich Begehr (Berlin)
Section determinants of unitary operators and the operator-valued Riccati differential equation. (English) Zbl 1024.34048
Reviewer: Etienne Emmrich (Berlin)
A generalized sum of quadratic forms. (English) Zbl 1074.47503
Reviewer: A. N. Kochubei (Kyïv)
Grid methods for the solution of boundary layer problems. In 5 parts. Part 2. Edited by V. P. Il’in. (Setochnye metody resheniya zadach s pogranichnym sloem. V 5 chastyakh. Chast’ 2.) (Russian) Zbl 1049.65074
Novosibirsk: Nauka (ISBN 5-02-031678-4; 5-02-031554-2/set). 222 p. (2001).
On the solution of the linear time-optimal control problem with mixed constraints. (English. Russian original) Zbl 1027.49001
J. Math. Sci., New York 114, No. 3, 1345-1362 (2003); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 90, 232-260 (2001).
Reviewer: Ernst G.Al’brekht (Ekaterinburg)
The posteriori choosing of the regularization parameter in the improved regularized method of solving an ill-posed equation. (Chinese. English summary) Zbl 1014.65037
Note on the range of differential operator \(\left(\frac{d^2}{dt^2}\right)+F(\cdot)\). (English) Zbl 1001.34037
Reviewer: Jan Andres (Olomouc)
A relation for the spectral shift function of two self-adjoint extensions. (English) Zbl 0999.47022
Kérchy, László (ed.) et al., Recent advances in operator theory and related topics. The Béla Szőkefalvi-Nagy memorial volume. Proceedings of the memorial conference, Szeged, Hungary, August 2-6, 1999. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 127, 437-445 (2001).
Reviewer: J.B.Butler jun.(Portland)
Smart structures and super stability. (English) Zbl 0974.35080
Lumer, Günter (ed.) et al., Evolution equations and their applications in physical and life sciences. Proceeding of the Bad Herrenalb (Karlsruhe) conference, Germany, 1999. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 215, 43-53 (2001).
Iterative methods for approximation of fixed points and their applications. (English) Zbl 1004.65069
Invariant manifolds for weak solutions to stochastic equations. (English) Zbl 0970.60069
Reviewer: Henri Schurz (Minneapolis)
Regularization by projection with a posteriori discretization level choice for linear and nonlinear ill-posed problems. (English) Zbl 0978.65045
Reviewer: R.Plato (Kiel)
Stochastic equations in the space of formal series: Convergence of solution series. (English) Zbl 0949.60073
Adamyan, V. M. (ed.) et al., Operator theory and related topics. Proceedings of the Mark Krein international conference on operator theory and applications, Odessa, Ukraine, August 18-22, 1997. Volume II. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 118, 373-387 (2000).
Evolution equations associated with non-isothermal phase separation: Subdifferential approach. (English) Zbl 0954.35007
Reviewer: R.Illner (Victoria)
On a class of stochastic equations in Hilbert spaces: Solvability and smoothing properties. (English) Zbl 0924.60038
Reviewer: M.Stolarczyk (Katowice)
On norm of functions and their derivatives. (Russian) Zbl 0965.47029
Reviewer: Sergei Georgievich Zhuravlev (Moskva)
A posteriori error estimates of solution to elliptic problems obtained by means of weakened Sobolev spaces. (English. Russian original) Zbl 0959.65116
Dokl. Math. 57, No. 1, 124-127 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 358, No. 6, 734-738 (1998).
Computation of the index of a singular point of a pseudomonotone vector field. The case of Hilbert spaces. (Russian. English summary) Zbl 0922.47057
Tr. Inst. Mat., Minsk. 1, 107-124 (1998).
Reviewer: J.Korbaš (Bratislava)
Small motions of an elastic medium in a cavity of a rotating body. (English) Zbl 0931.74029
Sklyadnev, S. A. (ed.), Proceedings of the conference on functional analysis and equations of mathematical physics, dedicated to the 80th birthday of S. G. Kreĭn, Voronezh, RU. Voronezh: Voronezhskij Gosudarstvennyj Universitet. 49-54 (1997).
Strengthened Sobolev spaces and some new types of elliptic boundary value problems. I. (English. Russian original) Zbl 0906.46025
Differ. Equations 33, No. 4, 536-543 (1997); translation from Differ. Uravn. 33, No. 4, 532-539 (1997).
Reviewer: V.Chernyatin (Szczecin)
The finite dimension property of small oscillations of a top with a cavity filled with an ideal fluid. (English. Russian original) Zbl 0911.35113
Funct. Anal. Appl. 31, No. 1, 40-51 (1997); translation from Funkt. Analiz. Prilozh. 31, No. 1, 51-66 (1995).
Reviewer: O.Titow (Berlin)
Ergodic distributed control for parameter dependent stochastic semilinear systems. (English) Zbl 0895.60062
Csiszár, I. (ed.) et al., Stochastic differential and difference equations. Papers from the conference, Györ, Hungary, August 21–24, 1996. Boston, MA: Birkhäuser. Prog. Syst. Control Theory. 23, 43-58 (1997).
MSC:
60H10
Dissipativity of Runge-Kutta methods in Hilbert spaces. (English) Zbl 0873.65058
Reviewer: W.C.Rheinboldt (Pittsburgh)
Remarks on invariant measures and reversibility of infinite dimensional diffusions. (English) Zbl 0881.60070
Ibragimov, I. A. (ed.) et al., Probability theory and mathematical statistics. Lectures presented at the semester held in St. Petersburg, Russia, March 2–April 23, 1993. Amsterdam: Gordon and Breach Publishers. 119-132 (1996).
Reviewer: M.Kohlmann (Bonn)
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