Semin, M. A.; Zaĭtsev, A. V.; Levin, L. Yu. Numerical solution of the inverse Stefan problem in the analysis of artificial freezing of rock mass. (Russian) Zbl 07312373 Mat. Model. 33, No. 2, 93-108 (2021). MSC: 80A23 80M50 65M32 65K10 65J20 65M06 PDF BibTeX XML Cite \textit{M. A. Semin} et al., Mat. Model. 33, No. 2, 93--108 (2021; Zbl 07312373) Full Text: DOI MNR
Ding, Ming-Hui; Zheng, Guang-Hui Determination of the reaction coefficient in a time dependent nonlocal diffusion process. (English) Zbl 07305945 Inverse Probl. 37, No. 2, Article ID 025005, 28 p. (2021). MSC: 65M32 65M30 65M06 35B65 35A02 44A10 76M30 76M21 35Q35 62F15 PDF BibTeX XML Cite \textit{M.-H. Ding} and \textit{G.-H. Zheng}, Inverse Probl. 37, No. 2, Article ID 025005, 28 p. (2021; Zbl 07305945) Full Text: DOI
Gu, Ruixue; Han, Bo; Tong, Shanshan; Chen, Yong An accelerated Kaczmarz type method for nonlinear inverse problems in Banach spaces with uniformly convex penalty. (English) Zbl 07305130 J. Comput. Appl. Math. 385, Article ID 113211, 22 p. (2021). MSC: 65N21 65N20 65N30 65K10 65H10 65H20 PDF BibTeX XML Cite \textit{R. Gu} et al., J. Comput. Appl. Math. 385, Article ID 113211, 22 p. (2021; Zbl 07305130) Full Text: DOI
Long, Haie; Han, Bo; Li, Li A fast two-point gradient method for solving non-smooth nonlinear ill-posed problems. (English) Zbl 07305051 J. Comput. Appl. Math. 384, Article ID 113114, 25 p. (2021). MSC: 65N21 65N20 65K10 65N12 65B99 65J20 35J61 PDF BibTeX XML Cite \textit{H. Long} et al., J. Comput. Appl. Math. 384, Article ID 113114, 25 p. (2021; Zbl 07305051) Full Text: DOI
Jin, Bangti; Zhou, Zhi Error analysis of finite element approximations of diffusion coefficient identification for elliptic and parabolic problems. (English) Zbl 07302949 SIAM J. Numer. Anal. 59, No. 1, 119-142 (2021). MSC: 65M32 65M30 65M15 65M60 65M06 65N30 65J20 PDF BibTeX XML Cite \textit{B. Jin} and \textit{Z. Zhou}, SIAM J. Numer. Anal. 59, No. 1, 119--142 (2021; Zbl 07302949) Full Text: DOI
Demchenko, M. N. Determination of a wave field in a laterally inhomogeneous medium from boundary data. (English. Russian original) Zbl 07297517 J. Math. Sci., New York 252, No. 5, 602-611 (2021); translation from Zap. Nauchn. Semin. POMI 483, 55-68 (2019). MSC: 35L20 35R25 PDF BibTeX XML Cite \textit{M. N. Demchenko}, J. Math. Sci., New York 252, No. 5, 602--611 (2021; Zbl 07297517); translation from Zap. Nauchn. Semin. POMI 483, 55--68 (2019) Full Text: DOI
Wang, Yuchan; Wu, Bin; Chen, Qun Numerical reconstruction of a non-smooth heat flux in the inverse radial heat conduction problem. (English) Zbl 1448.65141 Appl. Math. Lett. 111, Article ID 106658, 8 p. (2021). MSC: 65M32 65M06 80A23 80M50 65K10 65M12 65M15 65J20 35K05 49J20 49N45 PDF BibTeX XML Cite \textit{Y. Wang} et al., Appl. Math. Lett. 111, Article ID 106658, 8 p. (2021; Zbl 1448.65141) Full Text: DOI
Jiang, Xiaoying; Xu, Xiang An inverse spectral problem for a fourth-order Sturm-Liouville operator based on trace formulae. (English) Zbl 1452.65208 Appl. Math. Lett. 111, Article ID 106654, 9 p. (2021). MSC: 65M32 65M30 65L15 65F15 65M70 34B24 45B05 42C10 35R30 74H45 74K10 PDF BibTeX XML Cite \textit{X. Jiang} and \textit{X. Xu}, Appl. Math. Lett. 111, Article ID 106654, 9 p. (2021; Zbl 1452.65208) Full Text: DOI
Axelsson, Owe A survey of optimal control problems for PDEs. (English) Zbl 1446.65159 Dimov, Ivan (ed.) et al., Advances in high performance computing. Results of the international conference on high performance computing, Borovets, Bulgaria, September 2–6, 2019. Cham: Springer. Stud. Comput. Intell. 902, 376-390 (2021). MSC: 65N30 65N55 65N20 65K10 65F10 65F08 65Y05 49J20 49M25 15A18 PDF BibTeX XML Cite \textit{O. Axelsson}, Stud. Comput. Intell. 902, 376--390 (2021; Zbl 1446.65159) Full Text: DOI
Kang, Chuan-gang; Zhou, Heng The extensions of convergence rates of Kaczmarz-type methods. (English) Zbl 1452.65062 J. Comput. Appl. Math. 382, Article ID 113099, 11 p. (2021). MSC: 65F10 65F08 65N22 65J20 PDF BibTeX XML Cite \textit{C.-g. Kang} and \textit{H. Zhou}, J. Comput. Appl. Math. 382, Article ID 113099, 11 p. (2021; Zbl 1452.65062) Full Text: DOI
Nachaoui, A.; Nachaoui, M.; Chakib, A.; Hilal, M. A. Some novel numerical techniques for an inverse Cauchy problem. (English) Zbl 1446.65151 J. Comput. Appl. Math. 381, Article ID 113030, 20 p. (2021). MSC: 65N21 65N20 65N55 65J20 47H11 65N30 PDF BibTeX XML Cite \textit{A. Nachaoui} et al., J. Comput. Appl. Math. 381, Article ID 113030, 20 p. (2021; Zbl 1446.65151) Full Text: DOI
Yang, Fan; Wang, Ni; Li, Xiao-Xiao Landweber iterative method for an inverse source problem of time-fractional diffusion-wave equation on spherically symmetric domain. (English) Zbl 07315131 J. Appl. Anal. Comput. 10, No. 2, 514-529 (2020). MSC: 65M30 35R25 35R30 PDF BibTeX XML Cite \textit{F. Yang} et al., J. Appl. Anal. Comput. 10, No. 2, 514--529 (2020; Zbl 07315131) Full Text: DOI
Foadian, Saedeh; Pourgholi, Reza; Tabasi, S. Hashem; Zeidabadi, Hamed Solving an inverse problem for a generalized time-delayed Burgers-Fisher equation by Haar wavelet method. (English) Zbl 07315108 J. Appl. Anal. Comput. 10, No. 2, 391-410 (2020). MSC: 65N20 65N21 65M32 35K05 PDF BibTeX XML Cite \textit{S. Foadian} et al., J. Appl. Anal. Comput. 10, No. 2, 391--410 (2020; Zbl 07315108) Full Text: DOI
Jadamba, Baasansuren; Khan, Akhtar A.; Richards, Michael; Sama, Miguel; Tammer, Christiane Analyzing the role of the inf-sup condition for parameter identification in saddle point problems with application in elasticity imaging. (English) Zbl 07313450 Optimization 69, No. 12, 2577-2610 (2020). MSC: 35R30 49N45 65J20 65J22 65M30 PDF BibTeX XML Cite \textit{B. Jadamba} et al., Optimization 69, No. 12, 2577--2610 (2020; Zbl 07313450) Full Text: DOI
Calvetti, Daniela; Cosmo, Anna; Perotto, Simona; Somersalo, Erkki Bayesian mesh adaptation for estimating distributed parameters. (English) Zbl 07303431 SIAM J. Sci. Comput. 42, No. 6, A3878-A3906 (2020). MSC: 65N21 65N20 65N30 65N55 76S05 78A46 62F15 PDF BibTeX XML Cite \textit{D. Calvetti} et al., SIAM J. Sci. Comput. 42, No. 6, A3878--A3906 (2020; Zbl 07303431) Full Text: DOI
Zhao, Wenju; Gunzburger, Max Auxiliary equations approach for the stochastic unsteady Navier-Stokes equations with additive random noise. (English) Zbl 07296108 Numer. Math., Theory Methods Appl. 13, No. 1, 1-26 (2020). MSC: 65M30 35R60 76D05 PDF BibTeX XML Cite \textit{W. Zhao} and \textit{M. Gunzburger}, Numer. Math., Theory Methods Appl. 13, No. 1, 1--26 (2020; Zbl 07296108) Full Text: DOI
Wen, Jin; Ren, Xuejuan The simultaneous determination of initial value and source term in the heat conduction problem by mollification method. (English) Zbl 07295585 J. Northwest Norm. Univ., Nat. Sci. 56, No. 4, 8-14 (2020). MSC: 65M30 65M32 65M15 PDF BibTeX XML Cite \textit{J. Wen} and \textit{X. Ren}, J. Northwest Norm. Univ., Nat. Sci. 56, No. 4, 8--14 (2020; Zbl 07295585) Full Text: DOI
Zhang, Hongwu; Zhang, Xiaoju Regularization method for an ill-posed Cauchy problem of nonlinear elliptic equation. (English) Zbl 07295468 J. Math., Wuhan Univ. 40, No. 4, 395-407 (2020). MSC: 35R25 35J60 65M30 PDF BibTeX XML Cite \textit{H. Zhang} and \textit{X. Zhang}, J. Math., Wuhan Univ. 40, No. 4, 395--407 (2020; Zbl 07295468) Full Text: DOI
Cao, Yanzhao; Hong, Jialin; Liu, Zhihui Well-posedness and finite element approximations for elliptic SPDEs with Gaussian noises. (English) Zbl 07295058 Commun. Math. Res. 36, No. 2, 113-127 (2020). MSC: 65N20 65N30 65N15 PDF BibTeX XML Cite \textit{Y. Cao} et al., Commun. Math. Res. 36, No. 2, 113--127 (2020; Zbl 07295058) Full Text: DOI
Zhao, Zhenyu; Lin, Riguang; Li, Zhi; Mei, Duan A super order regularization method for determination of an unknown source in the heat equation. (Chinese. English summary) Zbl 07294899 Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 3, 717-724 (2020). MSC: 65M30 PDF BibTeX XML Cite \textit{Z. Zhao} et al., Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 3, 717--724 (2020; Zbl 07294899)
Newman, Elizabeth; Kilmer, Misha E. Nonnegative tensor patch dictionary approaches for image compression and deblurring applications. (English) Zbl 07292219 SIAM J. Imaging Sci. 13, No. 3, 1084-1112 (2020). MSC: 65F22 65D18 65N20 65N21 PDF BibTeX XML Cite \textit{E. Newman} and \textit{M. E. Kilmer}, SIAM J. Imaging Sci. 13, No. 3, 1084--1112 (2020; Zbl 07292219) Full Text: DOI
Khader, M. M.; Adel, M. Approximate solutions for the nonlinear systems of algebraic equations using the power series method. (English) Zbl 1451.65178 Appl. Appl. Math. 15, No. 2, 1267-1274 (2020). MSC: 65N20 41A30 PDF BibTeX XML Cite \textit{M. M. Khader} and \textit{M. Adel}, Appl. Appl. Math. 15, No. 2, 1267--1274 (2020; Zbl 1451.65178) Full Text: Link
Onofrei, Daniel; Platt, Eric; Egarguin, Neil Jerome A. Active manipulation of exterior electromagnetic fields by using surface sources. (English) Zbl 07286643 Q. Appl. Math. 78, No. 4, 641-670 (2020). MSC: 35Q60 45Q05 78A25 78A46 35J05 65R32 65R30 65J20 65M80 PDF BibTeX XML Cite \textit{D. Onofrei} et al., Q. Appl. Math. 78, No. 4, 641--670 (2020; Zbl 07286643) Full Text: DOI
Hagemann, Felix; Hettlich, Frank Application of the second domain derivative in inverse electromagnetic scattering. (English) Zbl 07283085 Inverse Probl. 36, No. 12, Article ID 125002, 34 p. (2020). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A46 78M15 65N21 65N38 65J20 35Q60 PDF BibTeX XML Cite \textit{F. Hagemann} and \textit{F. Hettlich}, Inverse Probl. 36, No. 12, Article ID 125002, 34 p. (2020; Zbl 07283085) Full Text: DOI
Giner-Navarro, Juan; Martínez-Casas, José; Denia, Francisco D.; Baeza, Luis Efficient decoupling technique applied to the numerical time integration of advanced interaction models for railway dynamics. (English) Zbl 07276491 Math. Methods Appl. Sci. 43, No. 14, 7915-7933 (2020). MSC: 65L06 65N30 65M30 PDF BibTeX XML Cite \textit{J. Giner-Navarro} et al., Math. Methods Appl. Sci. 43, No. 14, 7915--7933 (2020; Zbl 07276491) Full Text: DOI
Nguyen, Loc Hoang A new algorithm to determine the creation or depletion term of parabolic equations from boundary measurements. (English) Zbl 07276315 Comput. Math. Appl. 80, No. 10, 2135-2149 (2020). Reviewer: Christian Clason (Graz) MSC: 65M32 65M30 65M06 65N06 35K55 35K05 35Q79 92C35 35Q92 35N20 PDF BibTeX XML Cite \textit{L. H. Nguyen}, Comput. Math. Appl. 80, No. 10, 2135--2149 (2020; Zbl 07276315) Full Text: DOI
Bartels, Sören Numerical simulation of inextensible elastic ribbons. (English) Zbl 07275259 SIAM J. Numer. Anal. 58, No. 6, 3332-3354 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 74B20 74K20 65J20 PDF BibTeX XML Cite \textit{S. Bartels}, SIAM J. Numer. Anal. 58, No. 6, 3332--3354 (2020; Zbl 07275259) Full Text: DOI
Marin, Liviu MFS-fading regularization method for inverse BVPs in anisotropic heat conduction. (English) Zbl 1452.65212 Alves, Carlos (ed.) et al., Advances in Trefftz methods and their applications. Selected papers based on the presentations at the 9th conference on Trefftz methods and 5th conference on method of fundamental solutions, Lisbon, Portugal, July 29–31, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 23, 121-138 (2020). MSC: 65M32 65M30 65M70 65M80 65M12 60H50 35K05 35Q79 PDF BibTeX XML Cite \textit{L. Marin}, SEMA SIMAI Springer Ser. 23, 121--138 (2020; Zbl 1452.65212) Full Text: DOI
Doumic, Marie; Olivier, Adélaïde; Robert, Lydia Estimating the division rate from indirect measurements of single cells. (English) Zbl 1452.35218 Discrete Contin. Dyn. Syst., Ser. B 25, No. 10, 3931-3961 (2020). MSC: 35Q92 35R30 35R25 92C37 35Q62 62G30 45Q05 65T50 65M08 35P15 PDF BibTeX XML Cite \textit{M. Doumic} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 10, 3931--3961 (2020; Zbl 1452.35218) Full Text: DOI
Klibanov, Michael V.; Le, Thuy T.; Nguyen, Loc H. Numerical solution of a linearized travel time tomography problem with incomplete data. (English) Zbl 07271872 SIAM J. Sci. Comput. 42, No. 5, B1173-B1192 (2020). MSC: 65M32 65M12 35R25 35R30 PDF BibTeX XML Cite \textit{M. V. Klibanov} et al., SIAM J. Sci. Comput. 42, No. 5, B1173--B1192 (2020; Zbl 07271872) Full Text: DOI
Klünker, Anna; Schneide, Christiane; Froyland, Gary; Schumacher, Jörg; Padberg-Gehle, Kathrin Set-oriented and finite-element study of coherent behavior in Rayleigh-Bénard convection. (English) Zbl 07271594 Junge, Oliver (ed.) et al., Advances in dynamics, optimization and computation. A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday. Cham: Springer (ISBN 978-3-030-51263-7/hbk; 978-3-030-51264-4/ebook). Studies in Systems, Decision and Control 304, 86-108 (2020). MSC: 37M25 76E06 65M30 65N30 PDF BibTeX XML Cite \textit{A. Klünker} et al., Stud. Syst. Decis. Control 304, 86--108 (2020; Zbl 07271594) Full Text: DOI
De Maio, Umberto; Kogut, Peter I.; Manzo, Rosanna Asymptotic analysis of an optimal boundary control problem for ill-posed elliptic equation in domains with rugous boundary. (English) Zbl 1451.35239 Asymptotic Anal. 118, No. 3, 209-234 (2020). MSC: 35Q93 93C20 35R25 35B40 35J66 35B05 PDF BibTeX XML Cite \textit{U. De Maio} et al., Asymptotic Anal. 118, No. 3, 209--234 (2020; Zbl 1451.35239) Full Text: DOI
Krasnoschok, Mykola; Pereverzyev, Sergei; Siryk, Sergii V.; Vasylyeva, Nataliya Determination of the fractional order in semilinear subdiffusion equations. (English) Zbl 07268198 Fract. Calc. Appl. Anal. 23, No. 3, 694-722 (2020). MSC: 35R11 35R30 65N20 65N21 PDF BibTeX XML Cite \textit{M. Krasnoschok} et al., Fract. Calc. Appl. Anal. 23, No. 3, 694--722 (2020; Zbl 07268198) Full Text: DOI
Xiong, Xiangtuan; Bai, Enpeng An optimal filtering method for the sideways fractional heat equation. (Chinese. English summary) Zbl 07266961 J. Northwest Norm. Univ., Nat. Sci. 56, No. 3, 14-16, 47 (2020). MSC: 65N20 65N15 PDF BibTeX XML Cite \textit{X. Xiong} and \textit{E. Bai}, J. Northwest Norm. Univ., Nat. Sci. 56, No. 3, 14--16, 47 (2020; Zbl 07266961) Full Text: DOI
Zhang, Zhengqi; Zhou, Zhi Numerical analysis of backward subdiffusion problems. (English) Zbl 1452.65216 Inverse Probl. 36, No. 10, Article ID 105006, 27 p. (2020). MSC: 65M32 65M30 65N30 65M22 65D32 65M15 33E17 35R11 26A33 PDF BibTeX XML Cite \textit{Z. Zhang} and \textit{Z. Zhou}, Inverse Probl. 36, No. 10, Article ID 105006, 27 p. (2020; Zbl 1452.65216) Full Text: DOI
Ngo, Long Cu; Choi, Hyoung Gwon A multi-level adaptive mesh refinement for an integrated finite element/level set formulation to simulate multiphase flows with surface tension. (English) Zbl 1443.65166 Comput. Math. Appl. 79, No. 4, 908-933 (2020). MSC: 65M08 65M30 PDF BibTeX XML Cite \textit{L. C. Ngo} and \textit{H. G. Choi}, Comput. Math. Appl. 79, No. 4, 908--933 (2020; Zbl 1443.65166) Full Text: DOI
Wang, Chunmei; Wang, Junping Primal-dual weak Galerkin finite element methods for elliptic Cauchy problems. (English) Zbl 1443.65374 Comput. Math. Appl. 79, No. 3, 746-763 (2020). MSC: 65N30 65N20 PDF BibTeX XML Cite \textit{C. Wang} and \textit{J. Wang}, Comput. Math. Appl. 79, No. 3, 746--763 (2020; Zbl 1443.65374) Full Text: DOI
Cheng, Wei; Zhao, Qi A modified quasi-boundary value method for a two-dimensional inverse heat conduction problem. (English) Zbl 1443.65180 Comput. Math. Appl. 79, No. 2, 293-302 (2020). MSC: 65M38 35K20 35R30 PDF BibTeX XML Cite \textit{W. Cheng} and \textit{Q. Zhao}, Comput. Math. Appl. 79, No. 2, 293--302 (2020; Zbl 1443.65180) Full Text: DOI
Fayazov, Kudratillo S.; Khajiev, Ikrombek O. A nonlocal boundary-value problem for a fourth-order mixed-type equation. (English. Ukrainian original) Zbl 1448.35340 J. Math. Sci., New York 248, No. 2, 166-174 (2020); translation from Ukr. Mat. Visn. 17, No. 1, 30-41 (2020). MSC: 35M12 35R25 35C10 PDF BibTeX XML Cite \textit{K. S. Fayazov} and \textit{I. O. Khajiev}, J. Math. Sci., New York 248, No. 2, 166--174 (2020; Zbl 1448.35340); translation from Ukr. Mat. Visn. 17, No. 1, 30--41 (2020) Full Text: DOI
Tong, Shanshan; Han, Bo; Tang, Jinping A projective averaged Kaczmarz iteration for nonlinear ill-posed problems. (English) Zbl 1451.65068 Inverse Probl. 36, No. 9, Article ID 095012, 23 p. (2020). Reviewer: Bernd Hofmann (Chemnitz) MSC: 65J15 65J20 47J06 65N20 PDF BibTeX XML Cite \textit{S. Tong} et al., Inverse Probl. 36, No. 9, Article ID 095012, 23 p. (2020; Zbl 1451.65068) Full Text: DOI
Smirnov, A. V.; Klibanov, M. V.; Sullivan, Anders J.; Nguyen, L. H. Convexification for an inverse problem for a 1D wave equation with experimental data. (English) Zbl 1452.65214 Inverse Probl. 36, No. 9, Article ID 095008, 32 p. (2020). MSC: 65M32 65M30 65M06 65M12 65K10 65J20 35L10 78A45 78A46 78M20 78M50 PDF BibTeX XML Cite \textit{A. V. Smirnov} et al., Inverse Probl. 36, No. 9, Article ID 095008, 32 p. (2020; Zbl 1452.65214) Full Text: DOI
Mueller, J. L.; Siltanen, Samuli The D-bar method for electrical impedance tomography – demystified. (English) Zbl 07252733 Inverse Probl. 36, No. 9, Article ID 093001, 28 p. (2020). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A46 78A45 78A05 78M20 65N21 65N20 65N06 65N80 65J20 65T50 92C55 35R09 35R30 35Q60 PDF BibTeX XML Cite \textit{J. L. Mueller} and \textit{S. Siltanen}, Inverse Probl. 36, No. 9, Article ID 093001, 28 p. (2020; Zbl 07252733) Full Text: DOI
Nguyen Huy Tuan; Vo Van Au; Xu, Runzhang; Wang, Renhai On the initial and terminal value problem for a class of semilinear strongly material damped plate equations. (English) Zbl 1448.35339 J. Math. Anal. Appl. 492, No. 2, Article ID 124481, 38 p. (2020). MSC: 35L90 35L35 35L76 74K20 35B44 35R25 PDF BibTeX XML Cite \textit{Nguyen Huy Tuan} et al., J. Math. Anal. Appl. 492, No. 2, Article ID 124481, 38 p. (2020; Zbl 1448.35339) Full Text: DOI
Cheng, Ting; Hu, Junjun; Jiang, Daijun Simultaneous identification of convection velocity and source strength in a convection-diffusion equation. (English) Zbl 1452.65206 Appl. Anal. 99, No. 12, 2170-2189 (2020). MSC: 65M32 65M30 65M60 65M06 65M12 65K10 65J20 35B45 41A25 PDF BibTeX XML Cite \textit{T. Cheng} et al., Appl. Anal. 99, No. 12, 2170--2189 (2020; Zbl 1452.65206) Full Text: DOI
Gong, R. F.; Yu, P. J.; Jin, Q. N.; Cheng, X. L.; Han, W. Solving a nonlinear inverse Robin problem through a linear Cauchy problem. (English) Zbl 1447.65120 Appl. Anal. 99, No. 12, 2093-2114 (2020). MSC: 65N21 65N20 65J20 65F22 65N08 PDF BibTeX XML Cite \textit{R. F. Gong} et al., Appl. Anal. 99, No. 12, 2093--2114 (2020; Zbl 1447.65120) Full Text: DOI
Thanh, Phan Xuan; Steinbach, Olaf Energy space approaches to the Cauchy problem for Poisson’s equation. (English) Zbl 1447.35369 Acta Math. Vietnam. 45, No. 3, 693-707 (2020). MSC: 35R25 35R30 35J05 35J20 65M30 65M32 65M38 PDF BibTeX XML Cite \textit{P. X. Thanh} and \textit{O. Steinbach}, Acta Math. Vietnam. 45, No. 3, 693--707 (2020; Zbl 1447.35369) Full Text: DOI
Triet, Nguyen Anh; Van Au, Vo; Long, Le Dinh; Baleanu, Dumitru; Tuan, Nguyen Huy Regularization of a terminal value problem for time fractional diffusion equation. (English) Zbl 1447.35370 Math. Methods Appl. Sci. 43, No. 6, 3850-3878 (2020). MSC: 35R25 35R30 35R11 26A33 35K20 47H10 PDF BibTeX XML Cite \textit{N. A. Triet} et al., Math. Methods Appl. Sci. 43, No. 6, 3850--3878 (2020; Zbl 1447.35370) Full Text: DOI
Tran, Ngoc; Van Au, Vo; Zhou, Yong; Tuan, Nguyen Huy On a final value problem for fractional reaction-diffusion equation with Riemann-Liouville fractional derivative. (English) Zbl 1447.35364 Math. Methods Appl. Sci. 43, No. 6, 3086-3098 (2020). MSC: 35R11 35R25 35K57 35K20 47J06 47H10 PDF BibTeX XML Cite \textit{N. Tran} et al., Math. Methods Appl. Sci. 43, No. 6, 3086--3098 (2020; Zbl 1447.35364) Full Text: DOI
Koshev, Nikolay; Yavich, Nikolay; Malovichko, Mikhail; Skidchenko, Ekaterina; Fedorov, Maxim FEM-based scalp-to-cortex EEG data mapping via the solution of the Cauchy problem. (English) Zbl 1446.65147 J. Inverse Ill-Posed Probl. 28, No. 4, 517-532 (2020). MSC: 65N20 65N30 65F10 35R25 35J05 35J99 31B05 31B20 92C55 35Q92 78A70 PDF BibTeX XML Cite \textit{N. Koshev} et al., J. Inverse Ill-Posed Probl. 28, No. 4, 517--532 (2020; Zbl 1446.65147) Full Text: DOI
Triet, Nguyen Anh; Phuong, Nguyen Duc; O’Regan, Donal; Tuan, Nguyen Huy Approximate solution of the backward problem for Kirchhoff’s model of parabolic type with discrete random noise. (English) Zbl 1451.65135 Comput. Math. Appl. 80, No. 3, 453-470 (2020). Reviewer: Elena V. Tabarintseva (Chelyabinsk) MSC: 65M30 65M32 65M12 35R60 35R30 65M06 65N06 PDF BibTeX XML Cite \textit{N. A. Triet} et al., Comput. Math. Appl. 80, No. 3, 453--470 (2020; Zbl 1451.65135) Full Text: DOI
Borggaard, Jeff; Glatt-Holtz, Nathan; Krometis, Justin A Bayesian approach to estimating background flows from a passive scalar. (English) Zbl 07242144 SIAM/ASA J. Uncertain. Quantif. 8, 1036-1060 (2020). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65N21 62F15 65N20 76R05 76F55 65C30 65C05 PDF BibTeX XML Cite \textit{J. Borggaard} et al., SIAM/ASA J. Uncertain. Quantif. 8, 1036--1060 (2020; Zbl 07242144) Full Text: DOI
Leykekhman, Dmitriy; Vexler, Boris; Walter, Daniel Numerical analysis of sparse initial data identification for parabolic problems. (English) Zbl 1446.65114 ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1139-1180 (2020). MSC: 65M60 65N30 65N15 49K20 49M25 35B65 35R06 35R25 65M30 35K10 PDF BibTeX XML Cite \textit{D. Leykekhman} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1139--1180 (2020; Zbl 1446.65114) Full Text: DOI
Dongmo Nguepi, Guissel Lagnol; Braconnier, Benjamin; Preux, Christophe; Tran, Quang-Huy; Berthon, Christophe A relaxation method for the simulation of possibly non-hyperbolic polymer flooding models with inaccessible pore volume effect. (English) Zbl 07239629 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer (ISBN 978-3-030-43650-6/hbk; 978-3-030-43651-3/ebook). Springer Proceedings in Mathematics & Statistics 323, 445-453 (2020). MSC: 65M08 76S05 76T30 86A60 35R25 PDF BibTeX XML Cite \textit{G. L. Dongmo Nguepi} et al., in: Finite volumes for complex applications IX -- methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15--19, 2020. In 2 volumes. Volume I and II. Cham: Springer. 445--453 (2020; Zbl 07239629) Full Text: DOI
Lukáčová-Medvid’ová, Mária \(\mathscr{K}\)-convergence of finite volume solutions of the Euler equations. (English) Zbl 07239590 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer (ISBN 978-3-030-43650-6/hbk; 978-3-030-43651-3/ebook). Springer Proceedings in Mathematics & Statistics 323, 25-37 (2020). MSC: 65M08 65N08 65M12 76N10 76N15 35L65 35R06 35R25 35Q31 PDF BibTeX XML Cite \textit{M. Lukáčová-Medvid'ová}, in: Finite volumes for complex applications IX -- methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15--19, 2020. In 2 volumes. Volume I and II. Cham: Springer. 25--37 (2020; Zbl 07239590) Full Text: DOI
Tuan, Nguyen Huy; Au, Vo; Huynh, Le Nhat; Zhou, Yong Regularization of a backward problem for the inhomogeneous time-fractional wave equation. (English) Zbl 1445.35317 Math. Methods Appl. Sci. 43, No. 8, 5450-5463 (2020). MSC: 35R25 35R11 35L20 65J20 PDF BibTeX XML Cite \textit{N. H. Tuan} et al., Math. Methods Appl. Sci. 43, No. 8, 5450--5463 (2020; Zbl 1445.35317) Full Text: DOI
Jadamba, Baasansuren; Khan, Akhtar A.; Richards, Michael; Sama, Miguel A convex inversion framework for identifying parameters in saddle point problems with applications to inverse incompressible elasticity. (English) Zbl 07236583 Inverse Probl. 36, No. 7, Article ID 074003, 25 p. (2020). MSC: 65N21 65N20 65N30 65K10 65N12 49K20 90C25 74B20 92C55 35Q92 PDF BibTeX XML Cite \textit{B. Jadamba} et al., Inverse Probl. 36, No. 7, Article ID 074003, 25 p. (2020; Zbl 07236583) Full Text: DOI
Hào, Dinh Nho; Thanh, Phan Xuan; Bin-Mohsin, Bandar; Cong, Nguyen Huu Stable reconstruction of the initial condition in parabolic equations from boundary observations. (English) Zbl 1446.65096 Comput. Math. Appl. 79, No. 12, 3570-3587 (2020). MSC: 65M32 65N20 65J20 65M60 65N30 65M38 65N38 65M06 65K10 49J20 35K10 PDF BibTeX XML Cite \textit{D. N. Hào} et al., Comput. Math. Appl. 79, No. 12, 3570--3587 (2020; Zbl 1446.65096) Full Text: DOI
Tuan, Nguyen Huy; Thanh, Bui Le Trong; Kirane, Mokhtar; Van, Phan Thi Khanh Regularization and error estimate for an initial inverse nonlocal diffusion problem. (English) Zbl 1445.35336 Comput. Math. Appl. 79, No. 12, 3331-3352 (2020). MSC: 35R30 35R25 35K51 47J06 PDF BibTeX XML Cite \textit{N. H. Tuan} et al., Comput. Math. Appl. 79, No. 12, 3331--3352 (2020; Zbl 1445.35336) Full Text: DOI
Benrabah, Abderafik; Boussetila, Nadjib; Rebbani, Faouzia Modified auxiliary boundary conditions method for an ill-posed problem for the homogeneous biharmonic equation. (English) Zbl 1445.35153 Math. Methods Appl. Sci. 43, No. 1, 358-383 (2020). MSC: 35J40 31B30 PDF BibTeX XML Cite \textit{A. Benrabah} et al., Math. Methods Appl. Sci. 43, No. 1, 358--383 (2020; Zbl 1445.35153) Full Text: DOI
Ramlau, Ronny; Koutschan, Christoph; Hofmann, Bernd On the singular value decomposition of \(n\)-fold integration operators. (English) Zbl 07224831 Cheng, Jin (ed.) et al., Inverse problems and related topics. Extended versions of papers based on the international conference on inverse problems, Shanghai, China, October 12–14, 2018. In honor of Masahiro Yamamoto on the occasion of his 60th anniversary. Singapore: Springer (ISBN 978-981-15-1591-0/hbk; 978-981-15-1592-7/ebook). Springer Proceedings in Mathematics & Statistics 310, 237-256 (2020). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 47A52 65L08 PDF BibTeX XML Cite \textit{R. Ramlau} et al., in: Inverse problems and related topics. Extended versions of papers based on the international conference on inverse problems, Shanghai, China, October 12--14, 2018. In honor of Masahiro Yamamoto on the occasion of his 60th anniversary. Singapore: Springer. 237--256 (2020; Zbl 07224831) Full Text: DOI
Hofmann, Bernd; Mathé, Peter A priori parameter choice in Tikhonov regularization with oversmoothing penalty for non-linear ill-posed problems. (English) Zbl 1437.65048 Cheng, Jin (ed.) et al., Inverse problems and related topics. Extended versions of papers based on the international conference on inverse problems, Shanghai, China, October 12–14, 2018. In honor of Masahiro Yamamoto on the occasion of his 60th anniversary. Singapore: Springer. Springer Proc. Math. Stat. 310, 169-176 (2020). MSC: 65J20 65J22 65M32 35R30 PDF BibTeX XML Cite \textit{B. Hofmann} and \textit{P. Mathé}, Springer Proc. Math. Stat. 310, 169--176 (2020; Zbl 1437.65048) Full Text: DOI
Slimani, S.; Medarhri, I.; Najib, K.; Zine, A. Identification of the source function for a seawater intrusion problem in unconfined aquifer. (English) Zbl 07221113 Numer. Algorithms 84, No. 4, 1565-1587 (2020). MSC: 65M32 65M30 65M60 65M22 65M12 76S05 35R35 76M10 86A05 86A22 65J20 65F22 PDF BibTeX XML Cite \textit{S. Slimani} et al., Numer. Algorithms 84, No. 4, 1565--1587 (2020; Zbl 07221113) Full Text: DOI
Ju, Guoliang; Chen, Can; Chen, Rongliang; Li, Jingzhi; Li, Kaitai; Zhang, Shaohui Numerical simulation for 3D flow in flow channel of aeroengine turbine Fan based on dimension splitting method. (English) Zbl 07220333 Electron Res. Arch. 28, No. 2, 837-851 (2020). MSC: 65M60 65M06 65N30 65M32 65M30 76D05 76N06 76U05 PDF BibTeX XML Cite \textit{G. Ju} et al., Electron Res. Arch. 28, No. 2, 837--851 (2020; Zbl 07220333) Full Text: DOI
Tuan, Nguyen Huy; Thach, Tran Ngoc; Zhou, Yong On a backward problem for two-dimensional time fractional wave equation with discrete random data. (English) Zbl 1444.35156 Evol. Equ. Control Theory 9, No. 2, 561-579 (2020). MSC: 35R11 65M30 35K05 35R30 PDF BibTeX XML Cite \textit{N. H. Tuan} et al., Evol. Equ. Control Theory 9, No. 2, 561--579 (2020; Zbl 1444.35156) Full Text: DOI
Thach, Tran Ngoc; Tuan, Nguyen Huy; O’Regan, Donal Regularized solution for a biharmonic equation with discrete data. (English) Zbl 1439.65135 Evol. Equ. Control Theory 9, No. 2, 341-358 (2020). MSC: 65N20 35J40 65N12 PDF BibTeX XML Cite \textit{T. N. Thach} et al., Evol. Equ. Control Theory 9, No. 2, 341--358 (2020; Zbl 1439.65135) Full Text: DOI
Khayat, Faten Identification of piecewise constant Robin coefficient for the Stokes problem using the Levenberg-Marquardt method. (English) Zbl 1449.65307 Comput. Appl. Math. 39, No. 3, Paper No. 185, 23 p. (2020). MSC: 65N21 76M21 76D07 65K10 65N20 92C55 PDF BibTeX XML Cite \textit{F. Khayat}, Comput. Appl. Math. 39, No. 3, Paper No. 185, 23 p. (2020; Zbl 1449.65307) Full Text: DOI
Chen, Junqing; Liang, Ying; Zou, Jun Mathematical and numerical study of a three-dimensional inverse eddy current problem. (English) Zbl 1447.35307 SIAM J. Appl. Math. 80, No. 3, 1467-1492 (2020). Reviewer: Bangti Jin (London) MSC: 35Q60 35R30 35B30 35B65 78A46 65N21 65N20 65N30 65K10 65F22 PDF BibTeX XML Cite \textit{J. Chen} et al., SIAM J. Appl. Math. 80, No. 3, 1467--1492 (2020; Zbl 1447.35307) Full Text: DOI
Liu, Ji-Chuan; Li, Xiao-Chen Reconstruction algorithms of an inverse source problem for the Helmholtz equation. (English) Zbl 1442.65334 Numer. Algorithms 84, No. 3, 909-933 (2020). MSC: 65N21 65N20 65J20 65K10 35R30 35J05 35R25 PDF BibTeX XML Cite \textit{J.-C. Liu} and \textit{X.-C. Li}, Numer. Algorithms 84, No. 3, 909--933 (2020; Zbl 1442.65334) Full Text: DOI
Yang, Fan; Pu, Qu; Li, Xiao-Xiao The fractional Tikhonov regularization methods for identifying the initial value problem for a time-fractional diffusion equation. (English) Zbl 1440.65123 J. Comput. Appl. Math. 380, Article ID 112998, 19 p. (2020). MSC: 65M30 65M32 65M06 65M12 65J20 35R30 35R25 35R11 26A33 PDF BibTeX XML Cite \textit{F. Yang} et al., J. Comput. Appl. Math. 380, Article ID 112998, 19 p. (2020; Zbl 1440.65123) Full Text: DOI
Cheung, Siu Wun; Chung, Eric T.; Leung, Wing Tat Constraint energy minimizing generalized multiscale discontinuous Galerkin method. (English) Zbl 1450.76022 J. Comput. Appl. Math. 380, Article ID 112960, 16 p. (2020). MSC: 76M10 65M30 65N30 PDF BibTeX XML Cite \textit{S. W. Cheung} et al., J. Comput. Appl. Math. 380, Article ID 112960, 16 p. (2020; Zbl 1450.76022) Full Text: DOI
Hai, Dinh Nguyen Duy; Trong, Dang Duc Optimal error bound and truncation regularization method for a backward time-fractional diffusion problem in Hilbert scales. (English) Zbl 1440.65088 Appl. Math. Lett. 107, Article ID 106448, 8 p. (2020). MSC: 65M06 65M30 65M15 65J20 26A33 35R11 PDF BibTeX XML Cite \textit{D. N. D. Hai} and \textit{D. D. Trong}, Appl. Math. Lett. 107, Article ID 106448, 8 p. (2020; Zbl 1440.65088) Full Text: DOI
Zeng, Fang Extended sampling method for interior inverse scattering problems. (English) Zbl 07208040 Inverse Probl. Imaging 14, No. 4, 719-731 (2020). MSC: 35R30 78A46 35P25 45Q05 65N20 74J20 PDF BibTeX XML Cite \textit{F. Zeng}, Inverse Probl. Imaging 14, No. 4, 719--731 (2020; Zbl 07208040) Full Text: DOI
Liu, Xiaoman; Liu, Jijun Image restoration from noisy incomplete frequency data by alternative iteration scheme. (English) Zbl 1447.65117 Inverse Probl. Imaging 14, No. 4, 583-606 (2020). Reviewer: Carlos A. De Moura (Rio de Janeiro) MSC: 65N20 68U10 65N21 65T50 65K10 35Q31 PDF BibTeX XML Cite \textit{X. Liu} and \textit{J. Liu}, Inverse Probl. Imaging 14, No. 4, 583--606 (2020; Zbl 1447.65117) Full Text: DOI
Laurent, Camille; Rosier, Lionel Exact controllability of semilinear heat equations in spaces of analytic functions. (English) Zbl 1448.93030 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 4, 1047-1073 (2020). MSC: 93B05 35K20 35K59 93C20 PDF BibTeX XML Cite \textit{C. Laurent} and \textit{L. Rosier}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 4, 1047--1073 (2020; Zbl 1448.93030) Full Text: DOI
Karimi, Milad; Moradlou, Fridoun; Hajipour, Mojtaba Regularization technique for an inverse space-fractional backward heat conduction problem. (English) Zbl 1440.65125 J. Sci. Comput. 83, No. 2, Paper No. 37, 29 p. (2020). MSC: 65M32 65M30 65T60 65M06 65J20 35K05 80A19 26A33 35R11 35R30 35R25 PDF BibTeX XML Cite \textit{M. Karimi} et al., J. Sci. Comput. 83, No. 2, Paper No. 37, 29 p. (2020; Zbl 1440.65125) Full Text: DOI
Zhang, Mengmeng; Liu, Jijun Recovery of non-smooth radiative coefficient from nonlocal observation by diffusion system. (English) Zbl 1448.35282 J. Inverse Ill-Posed Probl. 28, No. 3, 389-410 (2020). MSC: 35K15 35R25 35R30 65M32 65M12 PDF BibTeX XML Cite \textit{M. Zhang} and \textit{J. Liu}, J. Inverse Ill-Posed Probl. 28, No. 3, 389--410 (2020; Zbl 1448.35282) Full Text: DOI
Trefethen, Lloyd N. Eight perspectives on the exponentially ill-conditioned equation \(\varepsilon y'' - x y' + y = 0\). (English) Zbl 1437.65075 SIAM Rev. 62, No. 2, 439-462 (2020). MSC: 65L08 34E20 34B15 PDF BibTeX XML Cite \textit{L. N. Trefethen}, SIAM Rev. 62, No. 2, 439--462 (2020; Zbl 1437.65075) Full Text: DOI
Chada, Neil K.; Stuart, Andrew M.; Tong, Xin T. Tikhonov regularization within ensemble Kalman inversion. (English) Zbl 1447.35337 SIAM J. Numer. Anal. 58, No. 2, 1263-1294 (2020). MSC: 35Q93 58E25 65F22 65M32 65M30 65K10 65J20 62F15 93C20 PDF BibTeX XML Cite \textit{N. K. Chada} et al., SIAM J. Numer. Anal. 58, No. 2, 1263--1294 (2020; Zbl 1447.35337) Full Text: DOI
Bourgeois, Laurent; Chesnel, Lucas On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates. (English) Zbl 1440.35042 ESAIM, Math. Model. Numer. Anal. 54, No. 2, 493-529 (2020). MSC: 35J05 35R25 35R30 65M60 PDF BibTeX XML Cite \textit{L. Bourgeois} and \textit{L. Chesnel}, ESAIM, Math. Model. Numer. Anal. 54, No. 2, 493--529 (2020; Zbl 1440.35042) Full Text: DOI
Zheng, Zhenming; Li, Zhenping; Xiong, Xiangtuan An improved error bound on the boundary inversion for a sideways heat equation. (English) Zbl 1437.65127 São Paulo J. Math. Sci. 14, No. 1, 287-300 (2020). MSC: 65M32 65M30 65M06 65M15 65K10 65J20 35R30 35R25 35K05 35B45 35B65 PDF BibTeX XML Cite \textit{Z. Zheng} et al., São Paulo J. Math. Sci. 14, No. 1, 287--300 (2020; Zbl 1437.65127) Full Text: DOI
Zhang, Na; Zeng, Wenting; Wang, Yuhe; Sun, Qian Beyond multiple-continuum modeling for the simulation of complex flow mechanisms in multiscale shale porous media. (English) Zbl 1450.76023 J. Comput. Appl. Math. 378, Article ID 112854, 19 p. (2020). MSC: 76M10 76S05 65M30 PDF BibTeX XML Cite \textit{N. Zhang} et al., J. Comput. Appl. Math. 378, Article ID 112854, 19 p. (2020; Zbl 1450.76023) Full Text: DOI
Yao, Wenjuan; Shen, Jie; Guo, Zhichang; Sun, Jiebao; Wu, Boying A total fractional-order variation model for image super-resolution and its SAV algorithm. (English) Zbl 1439.65100 J. Sci. Comput. 82, No. 3, Paper No. 81, 18 p. (2020). MSC: 65M06 65T50 65D18 65K10 65J20 26A33 35R11 35R09 PDF BibTeX XML Cite \textit{W. Yao} et al., J. Sci. Comput. 82, No. 3, Paper No. 81, 18 p. (2020; Zbl 1439.65100) Full Text: DOI
Cui, Jingjing; Peng, Guohua; Lu, Quan; Huang, Zhengge A special modified Tikhonov regularization matrix for discrete ill-posed problems. (English) Zbl 07197709 Appl. Math. Comput. 377, Article ID 125165, 19 p. (2020). MSC: 65F10 65D18 65N20 PDF BibTeX XML Cite \textit{J. Cui} et al., Appl. Math. Comput. 377, Article ID 125165, 19 p. (2020; Zbl 07197709) Full Text: DOI
Jiang, Suzhen; Liao, Kaifang; Wei, Ting Inversion of the initial value for a time-fractional diffusion-wave equation by boundary data. (English) Zbl 1437.65124 Comput. Methods Appl. Math. 20, No. 1, 109-120 (2020). MSC: 65M32 65M30 65J20 65K10 65F22 44A10 26A33 35R11 35A02 PDF BibTeX XML Cite \textit{S. Jiang} et al., Comput. Methods Appl. Math. 20, No. 1, 109--120 (2020; Zbl 1437.65124) Full Text: DOI
Tuan, Nguyen Huy; Baleanu, Dumitru; Thach, Tran Ngoc; O’Regan, Donal; Can, Nguyen Huu Final value problem for nonlinear time fractional reaction-diffusion equation with discrete data. (English) Zbl 1436.35327 J. Comput. Appl. Math. 376, Article ID 112883, 25 p. (2020). MSC: 35R30 65M32 35K20 35R11 47H10 47J06 PDF BibTeX XML Cite \textit{N. H. Tuan} et al., J. Comput. Appl. Math. 376, Article ID 112883, 25 p. (2020; Zbl 1436.35327) Full Text: DOI
Mondal, Subhankar; Nair, M. Thamban A linear regularization method for a parameter identification problem in heat equation. (English) Zbl 07189028 J. Inverse Ill-Posed Probl. 28, No. 2, 251-273 (2020). MSC: 35R30 65N21 65N30 35K20 65J22 PDF BibTeX XML Cite \textit{S. Mondal} and \textit{M. T. Nair}, J. Inverse Ill-Posed Probl. 28, No. 2, 251--273 (2020; Zbl 07189028) Full Text: DOI
Shukla, Ankita; Mehra, Mani Compact filtering as a regularization technique for a backward heat conduction problem. (English) Zbl 1436.65134 Appl. Numer. Math. 153, 82-97 (2020). MSC: 65M32 65M30 65M06 65M15 44A10 35K05 35Q79 PDF BibTeX XML Cite \textit{A. Shukla} and \textit{M. Mehra}, Appl. Numer. Math. 153, 82--97 (2020; Zbl 1436.65134) Full Text: DOI
Cao, K.; Lesnic, D.; Liu, Jijun Simultaneous reconstruction of space-dependent heat transfer coefficients and initial temperature. (English) Zbl 1447.80003 J. Comput. Appl. Math. 375, Article ID 112800, 18 p. (2020). Reviewer: Aleksey Syromyasov (Saransk) MSC: 80A23 35R30 80M30 80M20 65M06 65K10 65M32 65J20 PDF BibTeX XML Cite \textit{K. Cao} et al., J. Comput. Appl. Math. 375, Article ID 112800, 18 p. (2020; Zbl 1447.80003) Full Text: DOI
Zhang, Ye; Gong, Rongfang Second order asymptotical regularization methods for inverse problems in partial differential equations. (English) Zbl 1435.65189 J. Comput. Appl. Math. 375, Article ID 112798, 22 p. (2020). MSC: 65N21 65N20 65N30 65F22 65N12 65P10 65B99 35J15 35R30 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{R. Gong}, J. Comput. Appl. Math. 375, Article ID 112798, 22 p. (2020; Zbl 1435.65189) Full Text: DOI
Burman, Erik; Nechita, Mihai; Oksanen, Lauri A stabilized finite element method for inverse problems subject to the convection-diffusion equation. I: Diffusion-dominated regime. (English) Zbl 1437.65171 Numer. Math. 144, No. 3, 451-477 (2020). MSC: 65N21 65N20 65N30 65N12 35J15 76R50 76M21 PDF BibTeX XML Cite \textit{E. Burman} et al., Numer. Math. 144, No. 3, 451--477 (2020; Zbl 1437.65171) Full Text: DOI
Michel, Volker; Schneider, Naomi A first approach to learning a best basis for gravitational field modelling. (English) Zbl 07175413 GEM. Int. J. Geomath. 11, No. 1, Paper No. 9, 26 p. (2020). MSC: 86A22 31B20 41A45 65D15 65J20 65K10 65N20 65R32 68T05 PDF BibTeX XML Cite \textit{V. Michel} and \textit{N. Schneider}, GEM. Int. J. Geomath. 11, No. 1, Paper No. 9, 26 p. (2020; Zbl 07175413) Full Text: DOI
Wang, Li-Yan; Liu, Ji-Jun On fluorophore imaging by diffusion equation model: decompositions and optimizations. (English) Zbl 1431.35055 Acta Math. Appl. Sin., Engl. Ser. 36, No. 1, 203-222 (2020). MSC: 35K20 35R30 65K05 94A08 35C15 35R25 PDF BibTeX XML Cite \textit{L.-Y. Wang} and \textit{J.-J. Liu}, Acta Math. Appl. Sin., Engl. Ser. 36, No. 1, 203--222 (2020; Zbl 1431.35055) Full Text: DOI
Wang, Ze-Wen; Ruan, Zhou-Sheng; Huang, He-Lu; Qiu, Shu-Fang Determination of an unknown time-dependent heat source from a nonlocal measurement by finite difference method. (English) Zbl 1431.65159 Acta Math. Appl. Sin., Engl. Ser. 36, No. 1, 151-165 (2020). MSC: 65M32 65M30 65M06 PDF BibTeX XML Cite \textit{Z.-W. Wang} et al., Acta Math. Appl. Sin., Engl. Ser. 36, No. 1, 151--165 (2020; Zbl 1431.65159) Full Text: DOI
Xiong, Xiangtuan; Xue, Xuemin Fractional Tikhonov method for an inverse time-fractional diffusion problem in 2-dimensional space. (English) Zbl 1431.65160 Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 25-38 (2020). MSC: 65M32 65M30 35R11 35R30 PDF BibTeX XML Cite \textit{X. Xiong} and \textit{X. Xue}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 25--38 (2020; Zbl 1431.65160) Full Text: DOI
Cheng, Jin; Ke, Yufei; Wei, Ting The backward problem of parabolic equations with the measurements on a discrete set. (English) Zbl 1431.65152 J. Inverse Ill-Posed Probl. 28, No. 1, 137-144 (2020). MSC: 65M32 35R25 65F22 35R30 PDF BibTeX XML Cite \textit{J. Cheng} et al., J. Inverse Ill-Posed Probl. 28, No. 1, 137--144 (2020; Zbl 1431.65152) Full Text: DOI
Long, Haie; Han, Bo; Tong, Shanshan A proximal regularized Gauss-Newton-Kaczmarz method and its acceleration for nonlinear ill-posed problems. (English) Zbl 1434.65231 Appl. Numer. Math. 151, 301-321 (2020). MSC: 65N21 65K10 65J20 47J25 93B30 35R09 65N20 65N30 92C55 35R30 PDF BibTeX XML Cite \textit{H. Long} et al., Appl. Numer. Math. 151, 301--321 (2020; Zbl 1434.65231) Full Text: DOI
Tuan, Nguyen Huy; Zhou, Yong; Thach, Tran Ngoc; Can, Nguyen Huu An approximate solution for a nonlinear biharmonic equation with discrete random data. (English) Zbl 1434.65233 J. Comput. Appl. Math. 371, Article ID 112711, 19 p. (2020). MSC: 65N21 65N20 31A30 35R30 35R60 65N35 PDF BibTeX XML Cite \textit{N. H. Tuan} et al., J. Comput. Appl. Math. 371, Article ID 112711, 19 p. (2020; Zbl 1434.65233) Full Text: DOI
Mohammady, Somaieh; Eslahchi, M. R. Extension of Tikhonov regularization method using linear fractional programming. (English) Zbl 1441.47009 J. Comput. Appl. Math. 371, Article ID 112677, 16 p. (2020). Reviewer: Akhtar Khan (Rochester) MSC: 47A52 65F22 49K40 65N20 PDF BibTeX XML Cite \textit{S. Mohammady} and \textit{M. R. Eslahchi}, J. Comput. Appl. Math. 371, Article ID 112677, 16 p. (2020; Zbl 1441.47009) Full Text: DOI
Wang, Chunmei A new primal-dual weak Galerkin finite element method for ill-posed elliptic Cauchy problems. (English) Zbl 1434.65277 J. Comput. Appl. Math. 371, Article ID 112629, 18 p. (2020). MSC: 65N30 65N15 65N12 65N20 PDF BibTeX XML Cite \textit{C. Wang}, J. Comput. Appl. Math. 371, Article ID 112629, 18 p. (2020; Zbl 1434.65277) Full Text: DOI
Aldoghaither, Abeer; Laleg-Kirati, Taous-Meriem Parameter and differentiation order estimation for a two dimensional fractional partial differential equation. (English) Zbl 1434.65162 J. Comput. Appl. Math. 369, Article ID 112570, 15 p. (2020). MSC: 65M32 65M30 35R30 35R11 35H10 PDF BibTeX XML Cite \textit{A. Aldoghaither} and \textit{T.-M. Laleg-Kirati}, J. Comput. Appl. Math. 369, Article ID 112570, 15 p. (2020; Zbl 1434.65162) Full Text: DOI