Hu, Wen; Fu, Zhuojia; Tang, Zhuochao; Gu, Yan A meshless collocation method for solving the inverse Cauchy problem associated with the variable-order fractional heat conduction model under functionally graded materials. (English) Zbl 07568122 Eng. Anal. Bound. Elem. 140, 132-144 (2022). MSC: 80-XX 65-XX PDF BibTeX XML Cite \textit{W. Hu} et al., Eng. Anal. Bound. Elem. 140, 132--144 (2022; Zbl 07568122) Full Text: DOI OpenURL
Bucataru, Mihai; Cîmpean, Iulian; Marin, Liviu A gradient-based regularization algorithm for the Cauchy problem in steady-state anisotropic heat conduction. (English) Zbl 07566252 Comput. Math. Appl. 119, 220-240 (2022). MSC: 80-XX 65-XX PDF BibTeX XML Cite \textit{M. Bucataru} et al., Comput. Math. Appl. 119, 220--240 (2022; Zbl 07566252) Full Text: DOI OpenURL
Jiang, Wen-Wei; Jiang, Geng-Hui; Tan, Chen-Hao; Yang, Kai; Gao, Xiao-Wei A new method for identifying temperature-dependent thermal conductivity in transient heat conduction problems based on element differential method. (English) Zbl 07511066 Eng. Anal. Bound. Elem. 137, 65-77 (2022). MSC: 80-XX 74-XX PDF BibTeX XML Cite \textit{W.-W. Jiang} et al., Eng. Anal. Bound. Elem. 137, 65--77 (2022; Zbl 07511066) Full Text: DOI OpenURL
Ma, Rui; Xiong, Xiangtuan; Amin, Mohammed Elmustafa The method of fundamental solution for a radially symmetric heat conduction problem with variable coefficient. (English) Zbl 07526986 J. Partial Differ. Equations 34, No. 3, 258-267 (2021). MSC: 35K05 65M32 35R30 PDF BibTeX XML Cite \textit{R. Ma} et al., J. Partial Differ. Equations 34, No. 3, 258--267 (2021; Zbl 07526986) Full Text: DOI OpenURL
da Silva, W. B.; Dutra, J. C. S.; Kopperschimidt, C. E. P.; Lesnic, D.; Aykroyd, R. G. Sequential estimation of the time-dependent heat transfer coefficient using the method of fundamental solutions and particle filters. (English) Zbl 07484759 Inverse Probl. Sci. Eng. 29, No. 13, 3322-3341 (2021). MSC: 62L12 65M12 PDF BibTeX XML Cite \textit{W. B. da Silva} et al., Inverse Probl. Sci. Eng. 29, No. 13, 3322--3341 (2021; Zbl 07484759) Full Text: DOI OpenURL
Shafiee, H.; Hosseini Sarvari, S. M. Inverse estimation of temperature-dependent refractive index profile in conductive-radiative media. (English) Zbl 07484723 Inverse Probl. Sci. Eng. 29, No. 13, 2516-2533 (2021). MSC: 80A23 PDF BibTeX XML Cite \textit{H. Shafiee} and \textit{S. M. Hosseini Sarvari}, Inverse Probl. Sci. Eng. 29, No. 13, 2516--2533 (2021; Zbl 07484723) Full Text: DOI OpenURL
Geng, Xiaoxiao; Cheng, Hao; Liu, Mian Inverse source problem of heat conduction equation with time-dependent diffusivity on a spherical symmetric domain. (English) Zbl 07480105 Inverse Probl. Sci. Eng. 29, No. 11, 1653-1668 (2021). MSC: 35R25 47A52 PDF BibTeX XML Cite \textit{X. Geng} et al., Inverse Probl. Sci. Eng. 29, No. 11, 1653--1668 (2021; Zbl 07480105) Full Text: DOI OpenURL
Shi, Nuanfeng; Feng, Lixin Regularization method for inverse source problem of fractional heat conduction equation with Riemann-Liouville derivative. (Chinese. English summary) Zbl 07448451 J. Jilin Univ., Sci. 59, No. 4, 743-752 (2021). MSC: 65M32 65M30 65M15 65J20 33E12 26A33 35R11 PDF BibTeX XML Cite \textit{N. Shi} and \textit{L. Feng}, J. Jilin Univ., Sci. 59, No. 4, 743--752 (2021; Zbl 07448451) Full Text: DOI OpenURL
Liu, Fanli; Xie, Jinxin; Yang, Tao Robin coefficient inversion problem of variable coefficient heat conduction equation. (Chinese. English summary) Zbl 07448183 Acta Math. Appl. Sin. 44, No. 4, 574-588 (2021). MSC: 35K05 35R30 35D30 35B45 PDF BibTeX XML Cite \textit{F. Liu} et al., Acta Math. Appl. Sin. 44, No. 4, 574--588 (2021; Zbl 07448183) OpenURL
He, Shangqin; Feng, Xiufang Identical approximation operator and regularization method for the Cauchy problem of 2-D heat conduction equation. (English) Zbl 1479.35932 Math. Methods Appl. Sci. 44, No. 17, 12931-12944 (2021). MSC: 35R25 35K15 65N12 65N21 PDF BibTeX XML Cite \textit{S. He} and \textit{X. Feng}, Math. Methods Appl. Sci. 44, No. 17, 12931--12944 (2021; Zbl 1479.35932) Full Text: DOI OpenURL
Voinea-Marinescu, Andreea-Paula; Marin, Liviu Fading regularization MFS algorithm for the Cauchy problem in anisotropic heat conduction. (English) Zbl 1478.80002 Comput. Mech. 68, No. 4, 921-941 (2021). MSC: 80A23 80A19 35K05 35B65 80M50 65K10 65N80 35R30 PDF BibTeX XML Cite \textit{A.-P. Voinea-Marinescu} and \textit{L. Marin}, Comput. Mech. 68, No. 4, 921--941 (2021; Zbl 1478.80002) Full Text: DOI OpenURL
Voinea-Marinescu, Andreea-Paula; Marin, Liviu; Delvare, Franck BEM-fading regularization algorithm for Cauchy problems in 2D anisotropic heat conduction. (English) Zbl 07431177 Numer. Algorithms 88, No. 4, 1667-1702 (2021). MSC: 65-XX 80-XX PDF BibTeX XML Cite \textit{A.-P. Voinea-Marinescu} et al., Numer. Algorithms 88, No. 4, 1667--1702 (2021; Zbl 07431177) Full Text: DOI OpenURL
Qiu, Lin; Zhang, Minghui; Qin, Qing-Hua Homogenization function method for time-fractional inverse heat conduction problem in 3D functionally graded materials. (English) Zbl 1476.35335 Appl. Math. Lett. 122, Article ID 107478, 8 p. (2021). MSC: 35R30 35L20 35R11 65M32 PDF BibTeX XML Cite \textit{L. Qiu} et al., Appl. Math. Lett. 122, Article ID 107478, 8 p. (2021; Zbl 1476.35335) Full Text: DOI OpenURL
Chen, Haolong; Liu, Zhanli Solving the inverse heat conduction problem based on data driven model. (Chinese. English summary) Zbl 07403701 Chin. J. Comput. Mech. 38, No. 3, 272-279 (2021). MSC: 65M32 68T10 35K05 92C37 92C35 65M60 35R60 PDF BibTeX XML Cite \textit{H. Chen} and \textit{Z. Liu}, Chin. J. Comput. Mech. 38, No. 3, 272--279 (2021; Zbl 07403701) OpenURL
Wei, Lin-Yang; Qi, Hong; Niu, Zhi-Tian; Wen, Shuang; Ren, Ya-Tao Inverse heat transfer analysis to determine the temperature or phase change-dependent refractive index of semitransparent materials. (English) Zbl 07402876 Inverse Probl. Sci. Eng. 29, No. 4, 586-608 (2021). MSC: 65-XX 35P20 80A21 PDF BibTeX XML Cite \textit{L.-Y. Wei} et al., Inverse Probl. Sci. Eng. 29, No. 4, 586--608 (2021; Zbl 07402876) Full Text: DOI OpenURL
Shukla, Ankita; Mehra, Mani Spectral graph wavelet regularization and adaptive wavelet for the backward heat conduction problem. (English) Zbl 1470.65158 Inverse Probl. Sci. Eng. 29, No. 4, 457-488 (2021). MSC: 65M30 65M15 65T60 35K05 80A19 PDF BibTeX XML Cite \textit{A. Shukla} and \textit{M. Mehra}, Inverse Probl. Sci. Eng. 29, No. 4, 457--488 (2021; Zbl 1470.65158) Full Text: DOI OpenURL
da Silva, W. B.; Dutra, J. C. S.; Kopperschimidt, C. E. P.; Lesnic, D.; Aykroyd, R. G. Sequential particle filter estimation of a time-dependent heat transfer coefficient in a multidimensional nonlinear inverse heat conduction problem. (English) Zbl 1479.35944 Appl. Math. Modelling 89, Part 1, 654-668 (2021). MSC: 35R30 65M32 80A23 PDF BibTeX XML Cite \textit{W. B. da Silva} et al., Appl. Math. Modelling 89, Part 1, 654--668 (2021; Zbl 1479.35944) Full Text: DOI OpenURL
Ngendahayo, Jean Pierre; Niyobuhungiro, Japhet; Berntsson, Fredrik Estimation of surface temperatures from interior measurements using Tikhonov regularization. (English) Zbl 1473.35565 Results Appl. Math. 9, Article ID 100140, 13 p. (2021). MSC: 35Q79 35R30 35K10 80A23 80-05 65J20 65M06 65M32 65M30 65F20 15A18 PDF BibTeX XML Cite \textit{J. P. Ngendahayo} et al., Results Appl. Math. 9, Article ID 100140, 13 p. (2021; Zbl 1473.35565) Full Text: DOI OpenURL
Ku, Cheng-Yu; Liu, Chih-Yu; Xiao, Jing-En; Hsu, Shih-Meng; Yeih, Weichung A collocation method with space-time radial polynomials for inverse heat conduction problems. (English) Zbl 1464.80043 Eng. Anal. Bound. Elem. 122, 117-131 (2021). MSC: 80M22 65M32 65D12 65M70 PDF BibTeX XML Cite \textit{C.-Y. Ku} et al., Eng. Anal. Bound. Elem. 122, 117--131 (2021; Zbl 1464.80043) Full Text: DOI OpenURL
Tamaddon-Jahromi, Hamid Reza; Chakshu, Neeraj Kavan; Sazonov, Igor; Evans, Llion M.; Thomas, Hywel; Nithiarasu, Perumal Data-driven inverse modelling through neural network (deep learning) and computational heat transfer. (English) Zbl 07413171 Comput. Methods Appl. Mech. Eng. 369, Article ID 113217, 18 p. (2020). MSC: 80-XX 65-XX PDF BibTeX XML Cite \textit{H. R. Tamaddon-Jahromi} et al., Comput. Methods Appl. Mech. Eng. 369, Article ID 113217, 18 p. (2020; Zbl 07413171) Full Text: DOI OpenURL
Liu, Chein-Shan; Chang, Chih-Wen Analytic series solutions of 2D forward and backward heat conduction problems in rectangles and a new regularization. (English) Zbl 1475.65107 Inverse Probl. Sci. Eng. 28, No. 10, 1384-1406 (2020). MSC: 65M32 65M30 65M38 65D32 65R20 35C10 35P10 35B27 35K05 60H50 35Q79 35R30 35R25 PDF BibTeX XML Cite \textit{C.-S. Liu} and \textit{C.-W. Chang}, Inverse Probl. Sci. Eng. 28, No. 10, 1384--1406 (2020; Zbl 1475.65107) Full Text: DOI OpenURL
Zhou, Yu; Qian, Wei-Qi; Shao, Yuan-Pei Application of an adaptive MCMC method for the heat flux estimation. (English) Zbl 1467.80004 Inverse Probl. Sci. Eng. 28, No. 6, 859-876 (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 80A23 80A19 62F15 65C05 65C40 80M31 35R30 35R25 PDF BibTeX XML Cite \textit{Y. Zhou} et al., Inverse Probl. Sci. Eng. 28, No. 6, 859--876 (2020; Zbl 1467.80004) Full Text: DOI OpenURL
Min, Tao; Zang, Shunquan; Chen, Shengnan Source strength identification problem for the three-dimensional inverse heat conduction equations. (English) Zbl 1475.65110 Inverse Probl. Sci. Eng. 28, No. 6, 827-838 (2020). MSC: 65M32 65M30 35K05 45D05 35K20 65M80 65J20 65F20 15A18 65R20 65D32 65K10 60H50 35R30 PDF BibTeX XML Cite \textit{T. Min} et al., Inverse Probl. Sci. Eng. 28, No. 6, 827--838 (2020; Zbl 1475.65110) Full Text: DOI OpenURL
Wen, Jin; Ren, Xuejuan The simultaneous determination of initial value and source term in the heat conduction problem by mollification method. (English) Zbl 1463.65272 J. Northwest Norm. Univ., Nat. Sci. 56, No. 4, 8-14 (2020). MSC: 65M30 65M32 65M15 35K05 35B45 35R25 35R30 PDF BibTeX XML Cite \textit{J. Wen} and \textit{X. Ren}, J. Northwest Norm. Univ., Nat. Sci. 56, No. 4, 8--14 (2020; Zbl 1463.65272) Full Text: DOI OpenURL
Wu, Chunmei; Wu, Ziku The least square support machine method for solving the inverse heat conduction problem with a source parameter. (Chinese. English summary) Zbl 1463.65447 J. Nat. Sci. Heilongjiang Univ. 37, No. 1, 8-12 (2020). MSC: 65Y04 35R30 68T05 80-10 PDF BibTeX XML Cite \textit{C. Wu} and \textit{Z. Wu}, J. Nat. Sci. Heilongjiang Univ. 37, No. 1, 8--12 (2020; Zbl 1463.65447) Full Text: DOI OpenURL
Mocerino, Andrea; Bozzoli, Fabio; Cattani, Luca; Vocale, Pamela; Rainieri, Sara Non-intrusive estimate of spatially varying internal heat flux in coiled ducts: method of fundamental solutions applied to the reciprocity functional approach. (English) Zbl 1452.65389 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, 139-155 (2020). MSC: 65N80 65N21 80A19 80A23 74F05 74F10 PDF BibTeX XML Cite \textit{A. Mocerino} et al., SEMA SIMAI Springer Ser. 23, 139--155 (2020; Zbl 1452.65389) Full Text: DOI OpenURL
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 OpenURL
Marin, Liviu Landweber-Fridman algorithms for the Cauchy problem in steady-state anisotropic heat conduction. (English) Zbl 1482.74065 Math. Mech. Solids 25, No. 6, 1340-1363 (2020). MSC: 74F05 74G75 74E10 74S15 80A23 PDF BibTeX XML Cite \textit{L. Marin}, Math. Mech. Solids 25, No. 6, 1340--1363 (2020; Zbl 1482.74065) Full Text: DOI OpenURL
Tanana, V. P.; Sidikova, A. I. Solving the inverse heat conduction boundary problem for composite materials. (English) Zbl 1452.80016 Tarasyev, Alexander (ed.) et al., Stability, control and differential games. Proceedings of the international conference on stability, control and differential games (SCDG2019), Yekaterinburg, Russia, September 16–20, 2019. Cham: Springer. Lect. Notes Control Inf. Sci. – Proc., 133-143 (2020). MSC: 80A23 65T50 34B24 34L15 65M32 35Q79 PDF BibTeX XML Cite \textit{V. P. Tanana} and \textit{A. I. Sidikova}, in: Stability, control and differential games. Proceedings of the international conference on stability, control and differential games (SCDG2019), Yekaterinburg, Russia, September 16--20, 2019. Cham: Springer. 133--143 (2020; Zbl 1452.80016) Full Text: DOI OpenURL
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 OpenURL
Kanca, F.; Baglan, I. Solution of the boundary-value problem of heat conduction with periodic boundary conditions. (English) Zbl 1452.65210 Ukr. Math. J. 72, No. 2, 232-245 (2020) and Ukr. Mat. Zh. 72, No. 2, 209-220 (2020). MSC: 65M32 35K05 35A01 35A02 35Q79 PDF BibTeX XML Cite \textit{F. Kanca} and \textit{I. Baglan}, Ukr. Math. J. 72, No. 2, 232--245 (2020; Zbl 1452.65210) Full Text: DOI OpenURL
Hu, Wen; Gu, Yan; Fan, Chia-Ming A meshless collocation scheme for inverse heat conduction problem in three-dimensional functionally graded materials. (English) Zbl 1464.74373 Eng. Anal. Bound. Elem. 114, 1-7 (2020). MSC: 74S25 65N35 74A15 80A23 PDF BibTeX XML Cite \textit{W. Hu} et al., Eng. Anal. Bound. Elem. 114, 1--7 (2020; Zbl 1464.74373) Full Text: DOI OpenURL
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 OpenURL
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 OpenURL
Zhuo, L.; Lesnic, D.; Ismailov, M. I.; Tekin, I.; Meng, S. Determination of the time-dependent reaction coefficient and the heat flux in a nonlinear inverse heat conduction problem. (English) Zbl 07474759 Int. J. Comput. Math. 96, No. 10, 2079-2099 (2019). MSC: 35K05 35K55 35K57 PDF BibTeX XML Cite \textit{L. Zhuo} et al., Int. J. Comput. Math. 96, No. 10, 2079--2099 (2019; Zbl 07474759) Full Text: DOI OpenURL
Bozzoli, F.; Cattani, L.; Mocerino, A.; Rainieri, S.; Bazán, F. S. V. A novel method for estimating the distribution of convective heat flux in ducts: Gaussian filtered singular value decomposition. (English) Zbl 1466.80005 Inverse Probl. Sci. Eng. 27, No. 11, 1595-1607 (2019). MSC: 80A23 80A19 15A09 15A29 80M50 65F20 65F22 76R05 PDF BibTeX XML Cite \textit{F. Bozzoli} et al., Inverse Probl. Sci. Eng. 27, No. 11, 1595--1607 (2019; Zbl 1466.80005) Full Text: DOI OpenURL
Pati, A. R.; Bhatt, N. H.; Das, L.; Teja, S.; Nayak, S.; Kumar, A.; Sahoo, A.; Munshi, B.; Behera, A.; Sutar, H.; Mohapatra, S. S. The discrepancy in the prediction of surface temperatures by inverse heat conduction models for different quenching processes from very high initial surface temperature. (English) Zbl 1473.65171 Inverse Probl. Sci. Eng. 27, No. 6, 808-835 (2019). MSC: 65M32 80A23 35Q79 65K10 65M06 65N06 74F05 74K20 PDF BibTeX XML Cite \textit{A. R. Pati} et al., Inverse Probl. Sci. Eng. 27, No. 6, 808--835 (2019; Zbl 1473.65171) Full Text: DOI OpenURL
Zhang, Yong-Fu; Li, Chong-Jun A class of multistep numerical difference schemes applied in inverse heat conduction problem with a control parameter. (English) Zbl 1475.65114 Inverse Probl. Sci. Eng. 27, No. 7, 887-942 (2019). Reviewer: Christian Clason (Graz) MSC: 65M32 65M30 80A23 65M06 65J20 65M15 65M12 65D05 65D07 65K10 35R30 PDF BibTeX XML Cite \textit{Y.-F. Zhang} and \textit{C.-J. Li}, Inverse Probl. Sci. Eng. 27, No. 7, 887--942 (2019; Zbl 1475.65114) Full Text: DOI OpenURL
Tuan, Nguyen Huy; Khoa, Vo Anh; Truong, Mai Thanh Nhat; Hung, Tran The; Minh, Mach Nguyet Application of the cut-off projection to solve a backward heat conduction problem in a two-slab composite system. (English) Zbl 1472.65116 Inverse Probl. Sci. Eng. 27, No. 4, 460-483 (2019). MSC: 65M30 65M32 80A23 65M12 65K10 35K05 35K51 35B65 34B24 34B09 35R25 PDF BibTeX XML Cite \textit{N. H. Tuan} et al., Inverse Probl. Sci. Eng. 27, No. 4, 460--483 (2019; Zbl 1472.65116) Full Text: DOI arXiv OpenURL
Hu, Yan; Zhao, Yuzhen; Hao, Hai Determination of boundary condition of a multi-crystalline silicon billet during continuous casting. (English) Zbl 1464.80014 Inverse Probl. Sci. Eng. 27, No. 2, 190-204 (2019). MSC: 80A23 65M32 80M99 80M20 35Q79 PDF BibTeX XML Cite \textit{Y. Hu} et al., Inverse Probl. Sci. Eng. 27, No. 2, 190--204 (2019; Zbl 1464.80014) Full Text: DOI OpenURL
Osipov, O. V.; Brusentsev, A. G. Optimal location of heat sources inside areas of complex geometric forms. (Russian. English summary) Zbl 1449.80019 Mat. Model. 31, No. 4, 3-16 (2019). MSC: 80A23 35K05 80M20 80M50 90C05 PDF BibTeX XML Cite \textit{O. V. Osipov} and \textit{A. G. Brusentsev}, Mat. Model. 31, No. 4, 3--16 (2019; Zbl 1449.80019) Full Text: DOI MNR OpenURL
Damirchi, J.; Yazdanian, A. R.; Shamami, T. R.; Hasanpour, M. Numerical investigation of an inverse problem based on regularization method. (English) Zbl 1452.65417 Math. Sci., Springer 13, No. 3, 193-199 (2019). MSC: 65R32 65M32 PDF BibTeX XML Cite \textit{J. Damirchi} et al., Math. Sci., Springer 13, No. 3, 193--199 (2019; Zbl 1452.65417) Full Text: DOI OpenURL
Hennessy, Matthew G.; Calvo-Schwarzwälder, Marc; Myers, Timothy G. Modelling ultra-fast nanoparticle melting with the Maxwell-Cattaneo equation. (English) Zbl 1464.80013 Appl. Math. Modelling 69, 201-222 (2019). MSC: 80A23 80A10 PDF BibTeX XML Cite \textit{M. G. Hennessy} et al., Appl. Math. Modelling 69, 201--222 (2019; Zbl 1464.80013) Full Text: DOI arXiv OpenURL
Albu, Alla; Zubov, Vladimir Identification of the thermal conductivity coefficient in two dimension case. (English) Zbl 1431.49039 Optim. Lett. 13, No. 8, 1727-1743 (2019). MSC: 49N45 80A23 PDF BibTeX XML Cite \textit{A. Albu} and \textit{V. Zubov}, Optim. Lett. 13, No. 8, 1727--1743 (2019; Zbl 1431.49039) Full Text: DOI OpenURL
Su, LingDe A radial basis function (RBF)-finite difference (FD) method for the backward heat conduction problem. (English) Zbl 1428.74222 Appl. Math. Comput. 354, 232-247 (2019). MSC: 74S20 65M32 80A23 PDF BibTeX XML Cite \textit{L. Su}, Appl. Math. Comput. 354, 232--247 (2019; Zbl 1428.74222) Full Text: DOI OpenURL
Qiu, Lin; Chen, Wen; Wang, Fajie; Liu, Chein-Shan; Hua, Qingsong Boundary function method for boundary identification in two-dimensional steady-state nonlinear heat conduction problems. (English) Zbl 1464.80030 Eng. Anal. Bound. Elem. 103, 101-108 (2019). MSC: 80M15 65N21 80A19 80A23 PDF BibTeX XML Cite \textit{L. Qiu} et al., Eng. Anal. Bound. Elem. 103, 101--108 (2019; Zbl 1464.80030) Full Text: DOI OpenURL
Tanana, Vitaliĭ Pavlovich; Ershova, Anna Aleksandrovna On the solution of an inverse boundary value problem for composite materials. (Russian. English summary) Zbl 1442.65468 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 28, No. 4, 474-488 (2018). MSC: 65R32 31A25 49N45 80A19 80M15 PDF BibTeX XML Cite \textit{V. P. Tanana} and \textit{A. A. Ershova}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 28, No. 4, 474--488 (2018; Zbl 1442.65468) Full Text: DOI MNR OpenURL
Szénási, Sándor; Felde, Imre Using multiple graphics accelerators to solve the two-dimensional inverse heat conduction problem. (English) Zbl 1440.74442 Comput. Methods Appl. Mech. Eng. 336, 286-303 (2018). MSC: 74S05 74F05 74P15 90C59 80M10 65M32 65Y10 74A15 74G75 PDF BibTeX XML Cite \textit{S. Szénási} and \textit{I. Felde}, Comput. Methods Appl. Mech. Eng. 336, 286--303 (2018; Zbl 1440.74442) Full Text: DOI OpenURL
Chen, Shanzhen; Liu, Fawang; Turner, Ian; Hu, Xiuling Numerical inversion of the fractional derivative index and surface thermal flux for an anomalous heat conduction model in a multi-layer medium. (English) Zbl 1480.35389 Appl. Math. Modelling 59, 514-526 (2018). MSC: 35R11 35R05 65M32 PDF BibTeX XML Cite \textit{S. Chen} et al., Appl. Math. Modelling 59, 514--526 (2018; Zbl 1480.35389) Full Text: DOI Link OpenURL
Noh, Jung-Hun; Kwak, Dong-Bin; Yook, Se-Jin Effects of wall thickness and material property on inverse heat conduction analysis of a hollow cylindrical tube. (English) Zbl 1428.65033 Inverse Probl. Sci. Eng. 26, No. 9, 1305-1325 (2018). MSC: 65M32 80A23 74F05 35Q79 35R30 PDF BibTeX XML Cite \textit{J.-H. Noh} et al., Inverse Probl. Sci. Eng. 26, No. 9, 1305--1325 (2018; Zbl 1428.65033) Full Text: DOI OpenURL
Abdelhamid, Talaat; Elsheikh, A. H.; Elazab, Ahmed; Sharshir, S. W.; Selima, Ehab S.; Jiang, Daijun Simultaneous reconstruction of the time-dependent Robin coefficient and heat flux in heat conduction problems. (English) Zbl 1423.35431 Inverse Probl. Sci. Eng. 26, No. 9, 1231-1248 (2018). MSC: 35R30 35Q79 65L20 PDF BibTeX XML Cite \textit{T. Abdelhamid} et al., Inverse Probl. Sci. Eng. 26, No. 9, 1231--1248 (2018; Zbl 1423.35431) Full Text: DOI OpenURL
Zhuang, E.; Xiong, Xiangtuan; Xue, Xuemin; Ma, Xiaojun Regularization method for solving a backward heat conduction problem based on wavelet shrinkage. (Chinese. English summary) Zbl 1438.65217 Commun. Appl. Math. Comput. 32, No. 4, 831-840 (2018). MSC: 65M30 65M32 35B65 35K05 80A19 35Q79 35R30 65T60 PDF BibTeX XML Cite \textit{E. Zhuang} et al., Commun. Appl. Math. Comput. 32, No. 4, 831--840 (2018; Zbl 1438.65217) Full Text: DOI OpenURL
Yu, Jiaju; Li, Fule; Liu, Zhenbin; Wu, Ziku; Li, Juan The determination of heat sources in 2-D inverse steady heat problems based on LS-SVM. (Chinese. English summary) Zbl 1438.80006 Chin. J. Eng. Math. 35, No. 5, 559-569 (2018). MSC: 80A23 80A19 65M32 68Q32 90C20 35K08 PDF BibTeX XML Cite \textit{J. Yu} et al., Chin. J. Eng. Math. 35, No. 5, 559--569 (2018; Zbl 1438.80006) Full Text: DOI OpenURL
Jin, J.; Zheng, J. L.; Huang, T.; Yang, J. J.; Wang, H. S.; Wen, P. H.; Li, J. M. Inverse heat conduction in anisotropic and functionally graded media by finite integration method. (English) Zbl 1416.65419 Cheng, Alexander H.-D. (ed.) et al., Boundary elements and other mesh reduction methods XXXX. Selected papers based on the presentations at the 40th international conference (BEM/MRM), New Forest, UK, September 12–14 , 2017. Southampton: WIT Press. 193-204 (2018). MSC: 65N21 65N20 65F20 80A23 65N99 65R20 PDF BibTeX XML Cite \textit{J. Jin} et al., in: Boundary elements and other mesh reduction methods XXXX. Selected papers based on the presentations at the 40th international conference (BEM/MRM), New Forest, UK, September 12--14 , 2017. Southampton: WIT Press. 193--204 (2018; Zbl 1416.65419) Full Text: DOI OpenURL
Wen, Jin; Cheng, Xiufen A new meshless method for an inverse heat conduction problem. (Chinese. English summary) Zbl 1424.65155 J. Northwest Norm. Univ., Nat. Sci. 54, No. 5, 5-9, 49 (2018). MSC: 65M32 65M30 PDF BibTeX XML Cite \textit{J. Wen} and \textit{X. Cheng}, J. Northwest Norm. Univ., Nat. Sci. 54, No. 5, 5--9, 49 (2018; Zbl 1424.65155) Full Text: DOI OpenURL
Zhang, Yongfu; Li, Chongjun The PDE-constrained optimization method based on MFS for solving inverse heat conduction problems. (English) Zbl 1424.65156 J. Math. Res. Appl. 38, No. 3, 303-330 (2018). MSC: 65M32 65F22 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{C. Li}, J. Math. Res. Appl. 38, No. 3, 303--330 (2018; Zbl 1424.65156) Full Text: DOI OpenURL
Albu, A. F.; Zubov, V. I. Identification of the thermal conductivity coefficient using a given surface heat flux. (English. Russian original) Zbl 1421.80008 Comput. Math. Math. Phys. 58, No. 12, 2031-2042 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 12, 2112-2126 (2018). Reviewer: Alain Brillard (Riedisheim) MSC: 80A23 80A20 80M50 35R30 65M32 49J20 68W30 PDF BibTeX XML Cite \textit{A. F. Albu} and \textit{V. I. Zubov}, Comput. Math. Math. Phys. 58, No. 12, 2031--2042 (2018; Zbl 1421.80008); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 12, 2112--2126 (2018) Full Text: DOI OpenURL
Qiu, Shufang; Wang, Zewen; Xie, Anlai Multivariate numerical derivative by solving an inverse heat source problem. (English) Zbl 07039163 Inverse Probl. Sci. Eng. 26, No. 8, 1178-1197 (2018). MSC: 65D25 65J22 PDF BibTeX XML Cite \textit{S. Qiu} et al., Inverse Probl. Sci. Eng. 26, No. 8, 1178--1197 (2018; Zbl 07039163) Full Text: DOI OpenURL
Rapoport, Èdgar Yakovlevich; Diligenskaya, Anna Nikolaevna Modal identification of a boundary input in the two-dimensional inverse heat conduction problem. (Russian. English summary) Zbl 1424.80001 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 22, No. 2, 380-394 (2018). MSC: 80A23 35K05 93C20 PDF BibTeX XML Cite \textit{È. Y. Rapoport} and \textit{A. N. Diligenskaya}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 22, No. 2, 380--394 (2018; Zbl 1424.80001) Full Text: DOI MNR OpenURL
Damirchi, Javad; Janmohammadi, Ali; Hasanpour, Masoud; Memarbashi, Reza Numerical solution of some 2-dimensional direct and inverse heat conduction problems by method of fundamental solutions. (Persian. English summary) Zbl 1412.35378 JAMM, J. Adv. Math. Model. 8, No. 1, 65-86 (2018). MSC: 35R30 65M80 PDF BibTeX XML Cite \textit{J. Damirchi} et al., JAMM, J. Adv. Math. Model. 8, No. 1, 65--86 (2018; Zbl 1412.35378) Full Text: DOI OpenURL
Brociek, Rafał; Słota, Damian Reconstruction of the Robin boundary condition and order of derivative in time fractional heat conduction equation. (English) Zbl 1405.35180 Math. Model. Nat. Phenom. 13, No. 1, Paper No. 5, 14 p. (2018). MSC: 35Q53 34B20 35G31 PDF BibTeX XML Cite \textit{R. Brociek} and \textit{D. Słota}, Math. Model. Nat. Phenom. 13, No. 1, Paper No. 5, 14 p. (2018; Zbl 1405.35180) Full Text: DOI OpenURL
Huang, Dejian; Li, Yanqing; Pei, Donghe Identification of a time-dependent coefficient in heat conduction problem by new iteration method. (English) Zbl 1407.65171 Adv. Math. Phys. 2018, Article ID 4918256, 7 p. (2018). MSC: 65M32 35K05 35Q79 45D05 65J15 PDF BibTeX XML Cite \textit{D. Huang} et al., Adv. Math. Phys. 2018, Article ID 4918256, 7 p. (2018; Zbl 1407.65171) Full Text: DOI OpenURL
Vasil’ev, V. I.; Kardashevskiĭ, A. M. Numerical solution of the retrospective inverse problem of heat conduction with the help of the Poisson integral. (Russian, English) Zbl 1413.65356 Sib. Zh. Ind. Mat. 21, No. 3, 26-36 (2018); translation in J. Appl. Ind. Math. 12, No. 3, 577-586 (2018). MSC: 65M32 80A23 35R30 65M12 65D32 PDF BibTeX XML Cite \textit{V. I. Vasil'ev} and \textit{A. M. Kardashevskiĭ}, Sib. Zh. Ind. Mat. 21, No. 3, 26--36 (2018; Zbl 1413.65356); translation in J. Appl. Ind. Math. 12, No. 3, 577--586 (2018) Full Text: DOI OpenURL
Frankel, J. I.; Keyhani, M. Response function formulation for inverse heat conduction: concept. (English) Zbl 1401.80003 J. Eng. Math. 110, 75-95 (2018). MSC: 80A23 45D05 35K05 42A38 44A10 65R20 PDF BibTeX XML Cite \textit{J. I. Frankel} and \textit{M. Keyhani}, J. Eng. Math. 110, 75--95 (2018; Zbl 1401.80003) Full Text: DOI OpenURL
Sarabadan, Saeed; Rashedi, Kamal; Adibi, Hojatollah Boundary determination of the inverse heat conduction problem in one and two dimensions via the collocation method based on the satisfier functions. (English) Zbl 1397.65176 Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 2, 827-840 (2018). MSC: 65M32 80A23 80M25 PDF BibTeX XML Cite \textit{S. Sarabadan} et al., Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 2, 827--840 (2018; Zbl 1397.65176) Full Text: DOI OpenURL
Wang, Fajie; Hua, Qingsong; Liu, Chein-Shan Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation. (English) Zbl 06892651 Appl. Math. Lett. 84, 130-136 (2018). MSC: 35-XX 80-XX PDF BibTeX XML Cite \textit{F. Wang} et al., Appl. Math. Lett. 84, 130--136 (2018; Zbl 06892651) Full Text: DOI OpenURL
Kurt, Mehmet; Günel, Korhan An optimization algorithm for determining a point heat source position in a 2D domain using a hybrid metaheuristic. (English) Zbl 1448.65208 J. Inverse Ill-Posed Probl. 26, No. 3, 335-347 (2018). MSC: 65N21 65N20 65K10 80A19 80A23 80M50 35Q79 35J15 35R30 90C59 PDF BibTeX XML Cite \textit{M. Kurt} and \textit{K. Günel}, J. Inverse Ill-Posed Probl. 26, No. 3, 335--347 (2018; Zbl 1448.65208) Full Text: DOI OpenURL
Rostamian, Malihe; Shahrezaee, Alimardan A meshless method for solving 1D time-dependent heat source problem. (English) Zbl 1398.65281 Inverse Probl. Sci. Eng. 26, No. 1, 51-82 (2018). MSC: 65N21 35K05 35R30 PDF BibTeX XML Cite \textit{M. Rostamian} and \textit{A. Shahrezaee}, Inverse Probl. Sci. Eng. 26, No. 1, 51--82 (2018; Zbl 1398.65281) Full Text: DOI OpenURL
Liu, Jijun; Wang, Bingxian Solving the backward heat conduction problem by homotopy analysis method. (English) Zbl 1393.65039 Appl. Numer. Math. 128, 84-97 (2018). MSC: 65M99 80A23 65M12 35R30 65M15 PDF BibTeX XML Cite \textit{J. Liu} and \textit{B. Wang}, Appl. Numer. Math. 128, 84--97 (2018; Zbl 1393.65039) Full Text: DOI OpenURL
Brociek, Rafał; Słota, Damian; Zielonka, Adam Reconstruction Robin boundary condition in the heat conduction inverse problem of fractional order. (English) Zbl 1428.80010 Babiarz, Artur (ed.) et al., Theory and applications of non-integer order systems. Papers of the 8th conference on non-integer order calculus and its applications, Zakopane, Poland, September 20–21, 2016. Cham: Springer. Lect. Notes Electr. Eng. 407, 147-156 (2017). MSC: 80A23 35R11 93B30 80M20 90C59 65Y05 PDF BibTeX XML Cite \textit{R. Brociek} et al., Lect. Notes Electr. Eng. 407, 147--156 (2017; Zbl 1428.80010) Full Text: DOI OpenURL
Chen, S.; Jiang, X. Y. Parameters estimation for a new anomalous thermal diffusion model in layered media. (English) Zbl 1409.35235 Comput. Math. Appl. 73, No. 6, 1172-1181 (2017). MSC: 35R30 35R11 35Q79 PDF BibTeX XML Cite \textit{S. Chen} and \textit{X. Y. Jiang}, Comput. Math. Appl. 73, No. 6, 1172--1181 (2017; Zbl 1409.35235) Full Text: DOI OpenURL
Wen, Jin; Cheng, Jun-Feng A trace-type functional method for determination of a coefficient in an inverse heat conduction problem. (English) Zbl 1402.65106 J. Appl. Math. Inform. 35, No. 5-6, 439-447 (2017). MSC: 65M32 65M06 80A23 PDF BibTeX XML Cite \textit{J. Wen} and \textit{J.-F. Cheng}, J. Appl. Math. Inform. 35, No. 5--6, 439--447 (2017; Zbl 1402.65106) Full Text: DOI OpenURL
Mohasseb, Sassan; Moradi, Mohsen; Sokhansefat, Tahmineh; Kowsari, Farshad; Kasaeian, Alibakhsh; Mahian, Omid A novel approach to solve inverse heat conduction problems: coupling scaled boundary finite element method to a hybrid optimization algorithm. (English) Zbl 1403.80006 Eng. Anal. Bound. Elem. 84, 206-212 (2017). MSC: 80A20 80A23 80M15 80M10 65M32 65K05 90C20 90C59 PDF BibTeX XML Cite \textit{S. Mohasseb} et al., Eng. Anal. Bound. Elem. 84, 206--212 (2017; Zbl 1403.80006) Full Text: DOI OpenURL
Mayeli, Peyman; Nili-Ahmadabadi, Mahdi; Pirzadeh, MohammadReza; Rahmani, Pooria Determination of desired geometry by a novel extension of ball spine algorithm inverse method to conjugate heat transfer problems. (English) Zbl 1390.80011 Comput. Fluids 154, 390-406 (2017). MSC: 80A23 PDF BibTeX XML Cite \textit{P. Mayeli} et al., Comput. Fluids 154, 390--406 (2017; Zbl 1390.80011) Full Text: DOI OpenURL
Bazán, F. S. V.; Bedin, L. Identification of heat transfer coefficient through linearization: explicit solution and approximation. (English) Zbl 1383.65119 Inverse Probl. 33, No. 12, Article ID 124006, 30 p. (2017). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M32 35R30 35K05 PDF BibTeX XML Cite \textit{F. S. V. Bazán} and \textit{L. Bedin}, Inverse Probl. 33, No. 12, Article ID 124006, 30 p. (2017; Zbl 1383.65119) Full Text: DOI OpenURL
Cheng, Wei; Ma, Yun-Jie A modified quasi-boundary value method for solving the radially symmetric inverse heat conduction problem. (English) Zbl 1422.65235 Appl. Anal. 96, No. 15, 2505-2515 (2017). MSC: 65M30 35R25 35R30 PDF BibTeX XML Cite \textit{W. Cheng} and \textit{Y.-J. Ma}, Appl. Anal. 96, No. 15, 2505--2515 (2017; Zbl 1422.65235) Full Text: DOI OpenURL
Wang, Yuan; Luo, Xiaochuan; Song, Yuqiao; Xie, Qiqi Simultaneous reconstruction of the surface heat flux and the source term in 3D linear parabolic problem by modified conjugate gradient method. (English) Zbl 1370.35277 Math. Methods Appl. Sci. 40, No. 8, 2847-2858 (2017). MSC: 35R30 PDF BibTeX XML Cite \textit{Y. Wang} et al., Math. Methods Appl. Sci. 40, No. 8, 2847--2858 (2017; Zbl 1370.35277) Full Text: DOI OpenURL
Yaparova, Natalia M. Numerical method for solving an inverse boundary problem with unknown initial conditions for parabolic PDE using discrete regularization. (English) Zbl 1368.65178 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 752-759 (2017). MSC: 65M32 65M06 35K20 35R30 65M12 PDF BibTeX XML Cite \textit{N. M. Yaparova}, Lect. Notes Comput. Sci. 10187, 752--759 (2017; Zbl 1368.65178) Full Text: DOI OpenURL
Cheng, Wei Stability estimate and regularization for a radially symmetric inverse heat conduction problem. (English) Zbl 1360.65228 Bound. Value Probl. 2017, Paper No. 53, 11 p. (2017). MSC: 65M30 35R30 35R25 PDF BibTeX XML Cite \textit{W. Cheng}, Bound. Value Probl. 2017, Paper No. 53, 11 p. (2017; Zbl 1360.65228) Full Text: DOI OpenURL
Chen, Han-Taw; Liu, Kuo-Chi; Xu, Xiao-Jie; Lin, Tsu-Hsiang Analytical study for the estimation of thermal properties of processed meat based on hyperbolic heat conduction model. (English) Zbl 1362.80004 Inverse Probl. Sci. Eng. 25, No. 1, 41-56 (2017). MSC: 80A23 80A20 80M25 35Q79 44A10 65K10 80M50 35L20 PDF BibTeX XML Cite \textit{H.-T. Chen} et al., Inverse Probl. Sci. Eng. 25, No. 1, 41--56 (2017; Zbl 1362.80004) Full Text: DOI OpenURL
Guo, J.; Yan, G.; Zhou, J. The direct and inverse problem for an inclusion within a heat-conducting layered medium. (English) Zbl 1361.65074 Appl. Anal. 96, No. 2, 231-246 (2017). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M38 35K05 65M32 PDF BibTeX XML Cite \textit{J. Guo} et al., Appl. Anal. 96, No. 2, 231--246 (2017; Zbl 1361.65074) Full Text: DOI OpenURL
Mallick, Ashis; Ranjan, Rajiv; Prasad, Dilip K.; Das, Ranjan Inverse prediction and application of homotopy perturbation method for efficient design of an annular fin with variable thermal conductivity and heat generation. (English) Zbl 07387744 Math. Model. Anal. 21, No. 5, 699-717 (2016). MSC: 65H20 31A25 80A20 PDF BibTeX XML Cite \textit{A. Mallick} et al., Math. Model. Anal. 21, No. 5, 699--717 (2016; Zbl 07387744) Full Text: DOI OpenURL
Chen, Hongchu; Frankel, Jay I.; Keyhani, Majid Two-dimensional formulation for inverse heat conduction problems by the calibration integral equation method (CIEM). (English) Zbl 1465.80005 Appl. Math. Modelling 40, No. 13-14, 6588-6603 (2016). MSC: 80A23 PDF BibTeX XML Cite \textit{H. Chen} et al., Appl. Math. Modelling 40, No. 13--14, 6588--6603 (2016; Zbl 1465.80005) Full Text: DOI OpenURL
Lotfi, Mohamed; Mezrigui, Lassaad; Heyd, Rodolphe Study of heat conduction through a self-heated composite cylinder by Laplace transfer functions. (English) Zbl 1443.80007 Appl. Math. Modelling 40, No. 23-24, 10360-10376 (2016). MSC: 80-10 PDF BibTeX XML Cite \textit{M. Lotfi} et al., Appl. Math. Modelling 40, No. 23--24, 10360--10376 (2016; Zbl 1443.80007) Full Text: DOI OpenURL
Xiong, Xiangtuan; Cao, Xiaoxiao; He, Shumei; Wen, Jin A modified regularization method for a Cauchy problem for heat equation on a two-layer sphere domain. (English) Zbl 1410.35054 Appl. Math. Comput. 290, 240-249 (2016). MSC: 35K15 35R25 PDF BibTeX XML Cite \textit{X. Xiong} et al., Appl. Math. Comput. 290, 240--249 (2016; Zbl 1410.35054) Full Text: DOI OpenURL
Ni, Marcus W.; Kassab, Alain J.; Divo, Eduardo Automated hybrid singularity superposition and anchored grid pattern BEM algorithm for the solution of inverse geometric problems. (English) Zbl 1403.65218 Eng. Anal. Bound. Elem. 73, 69-78 (2016). MSC: 65N38 65N21 PDF BibTeX XML Cite \textit{M. W. Ni} et al., Eng. Anal. Bound. Elem. 73, 69--78 (2016; Zbl 1403.65218) Full Text: DOI OpenURL
Wang, Fajie; Chen, Wen; Qu, Wenzhen; Gu, Yan A BEM formulation in conjunction with parametric equation approach for three-dimensional Cauchy problems of steady heat conduction. (English) Zbl 1403.80028 Eng. Anal. Bound. Elem. 63, 1-14 (2016). MSC: 80M15 65N38 80A20 PDF BibTeX XML Cite \textit{F. Wang} et al., Eng. Anal. Bound. Elem. 63, 1--14 (2016; Zbl 1403.80028) Full Text: DOI OpenURL
Yang, Liu; Deng, Zui-Cha; Hon, Yiu-Chung Simultaneous identification of unknown initial temperature and heat source. (English) Zbl 1362.35337 Dyn. Syst. Appl. 25, No. 4, 583-602 (2016). MSC: 35R30 49J20 35K05 PDF BibTeX XML Cite \textit{L. Yang} et al., Dyn. Syst. Appl. 25, No. 4, 583--602 (2016; Zbl 1362.35337) OpenURL
Zubov, V. I. Application of fast automatic differentiation for solving the inverse coefficient problem for the heat equation. (English. Russian original) Zbl 1375.80010 Comput. Math. Math. Phys. 56, No. 10, 1743-1757 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 10, 1760-1774 (2016). Reviewer: Vladimir Sobolev (Samara) MSC: 80A23 35R30 35K05 35K55 80A20 PDF BibTeX XML Cite \textit{V. I. Zubov}, Comput. Math. Math. Phys. 56, No. 10, 1743--1757 (2016; Zbl 1375.80010); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 10, 1760--1774 (2016) Full Text: DOI OpenURL
Pacheco, C. C.; Orlande, H. R. B.; Colaço, M. J.; Dulikravich, G. S. Real-time identification of a high-magnitude boundary heat flux on a plate. (English) Zbl 1348.74216 Inverse Probl. Sci. Eng. 24, No. 9, 1661-1679 (2016). MSC: 74K20 74F05 80A20 PDF BibTeX XML Cite \textit{C. C. Pacheco} et al., Inverse Probl. Sci. Eng. 24, No. 9, 1661--1679 (2016; Zbl 1348.74216) Full Text: DOI OpenURL
Zhang, Yong-Fu; Li, Chong-Jun A Gaussian RBFs method with regularization for the numerical solution of inverse heat conduction problems. (English) Zbl 1348.65136 Inverse Probl. Sci. Eng. 24, No. 9, 1606-1646 (2016). MSC: 65M32 65F22 65D05 80A23 PDF BibTeX XML Cite \textit{Y.-F. Zhang} and \textit{C.-J. Li}, Inverse Probl. Sci. Eng. 24, No. 9, 1606--1646 (2016; Zbl 1348.65136) Full Text: DOI OpenURL
Li, Jinguo; Jiang, Ning; Gao, Zengliang; Liu, Hong; Wang, Gengjie An inverse heat conduction problem of estimating the multiple heat sources for mould heating system of the injection machine. (English) Zbl 1348.65133 Inverse Probl. Sci. Eng. 24, No. 9, 1587-1605 (2016). MSC: 65M32 80A20 80A23 PDF BibTeX XML Cite \textit{J. Li} et al., Inverse Probl. Sci. Eng. 24, No. 9, 1587--1605 (2016; Zbl 1348.65133) Full Text: DOI OpenURL
Beddiaf, Sara; Autrique, Laurent; Perez, Laetitia; Jolly, Jean-Claude Heating source localization in a reduced time. (English) Zbl 1347.93094 Int. J. Appl. Math. Comput. Sci. 26, No. 3, 623-640 (2016). MSC: 93B30 93C20 49N45 35K05 PDF BibTeX XML Cite \textit{S. Beddiaf} et al., Int. J. Appl. Math. Comput. Sci. 26, No. 3, 623--640 (2016; Zbl 1347.93094) Full Text: DOI OpenURL
Liu, Jijun; Wang, Yuchan On the reconstruction of boundary impedance of a heat conduction system from nonlocal measurement. (English) Zbl 1355.65126 Inverse Probl. 32, No. 7, Article ID 075002, 23 p. (2016). Reviewer: Robert Plato (Siegen) MSC: 65M32 35K05 35R30 65M12 PDF BibTeX XML Cite \textit{J. Liu} and \textit{Y. Wang}, Inverse Probl. 32, No. 7, Article ID 075002, 23 p. (2016; Zbl 1355.65126) Full Text: DOI OpenURL
Tanana, V. P.; Vishnyakov, E. Yu.; Sidikova, A. I. An approximate solution of a Fredholm integral equation of the first kind by the residual method. (Russian, English) Zbl 1349.65722 Sib. Zh. Vychisl. Mat. 19, No. 1, 97-105 (2016); translation in Numer. Analysis Appl. 9, No. 1, 74-81 (2016). MSC: 65R20 65R30 45B05 65M32 35K05 35R30 PDF BibTeX XML Cite \textit{V. P. Tanana} et al., Sib. Zh. Vychisl. Mat. 19, No. 1, 97--105 (2016; Zbl 1349.65722); translation in Numer. Analysis Appl. 9, No. 1, 74--81 (2016) Full Text: DOI OpenURL
Cheng, Wei; Ma, Yun-Jie A modified regularization method for an inverse heat conduction problem with only boundary value. (English) Zbl 1339.65158 Bound. Value Probl. 2016, Paper No. 100, 14 p. (2016). MSC: 65M30 35R25 35R30 PDF BibTeX XML Cite \textit{W. Cheng} and \textit{Y.-J. Ma}, Bound. Value Probl. 2016, Paper No. 100, 14 p. (2016; Zbl 1339.65158) Full Text: DOI OpenURL
Fernandes, Ana Paula; Braga dos Santos, Marcelo; Guimarães, Gilmar An analytical transfer function method to solve inverse heat conduction problems. (English) Zbl 1443.80003 Appl. Math. Modelling 39, No. 22, 6897-6914 (2015). MSC: 80-10 80A23 PDF BibTeX XML Cite \textit{A. P. Fernandes} et al., Appl. Math. Modelling 39, No. 22, 6897--6914 (2015; Zbl 1443.80003) Full Text: DOI OpenURL
Wirgin, Armand Influence of nuisance parameter uncertainty on the retrieval of the thermal conductivity of the macroscopically-homogeneous material within a cylinder from exterior temperature measurements. (English) Zbl 1443.80009 Appl. Math. Modelling 39, No. 17, 5278-5298 (2015). MSC: 80-10 80A23 PDF BibTeX XML Cite \textit{A. Wirgin}, Appl. Math. Modelling 39, No. 17, 5278--5298 (2015; Zbl 1443.80009) Full Text: DOI OpenURL
Li, Xiuying A numerical method for two-dimensional inverse heat conduction problems. (English) Zbl 1457.65084 Int. J. Numer. Methods Heat Fluid Flow 25, No. 1, 190-198 (2015). MSC: 65M32 80A23 35Q79 PDF BibTeX XML Cite \textit{X. Li}, Int. J. Numer. Methods Heat Fluid Flow 25, No. 1, 190--198 (2015; Zbl 1457.65084) Full Text: DOI OpenURL
Solodusha, Svetlana Vital’evna Application of numerical methods for the Volterra equations of the first kind that appear in an inverse boundary-value problem of heat conduction. (Russian. English summary) Zbl 1344.45002 Izv. Irkutsk. Gos. Univ., Ser. Mat. 11, 96-105 (2015). MSC: 45D05 80A20 PDF BibTeX XML Cite \textit{S. V. Solodusha}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 11, 96--105 (2015; Zbl 1344.45002) Full Text: Link OpenURL