Gao, Guang-hua; Huang, Yu; Sun, Zhi-Zhong Pointwise error estimate of the compact difference methods for the fourth-order parabolic equations with the third Neumann boundary conditions. (English) Zbl 07823713 Math. Methods Appl. Sci. 47, No. 2, 634-659 (2024). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{G.-h. Gao} et al., Math. Methods Appl. Sci. 47, No. 2, 634--659 (2024; Zbl 07823713) Full Text: DOI
Feng, Xiaoli; Yuan, Xiaoyu; Zhao, Meixia; Qian, Zhi Numerical methods for the forward and backward problems of a time-space fractional diffusion equation. (English) Zbl 07814910 Calcolo 61, No. 1, Paper No. 16, 37 p. (2024). MSC: 65L10 65K10 PDFBibTeX XMLCite \textit{X. Feng} et al., Calcolo 61, No. 1, Paper No. 16, 37 p. (2024; Zbl 07814910) Full Text: DOI
Yang, Fan; Zhang, Yan; Li, Xiao-Xiao Landweber iterative method for an inverse source problem of time-space fractional diffusion-wave equation. (English) Zbl 07804043 Comput. Methods Appl. Math. 24, No. 1, 265-278 (2024). MSC: 35R30 35R11 47A52 65M32 PDFBibTeX XMLCite \textit{F. Yang} et al., Comput. Methods Appl. Math. 24, No. 1, 265--278 (2024; Zbl 07804043) Full Text: DOI
Bucataru, Mihai; Marin, Liviu Accelerated iterative algorithms for the Cauchy problem in steady-state anisotropic heat conduction. (English) Zbl 07792394 Numer. Algorithms 95, No. 2, 605-636 (2024). MSC: 65N21 35R30 35R25 35J25 65J20 65N20 PDFBibTeX XMLCite \textit{M. Bucataru} and \textit{L. Marin}, Numer. Algorithms 95, No. 2, 605--636 (2024; Zbl 07792394) Full Text: DOI
Fu, Jun-Liang; Liu, Jijun Double-parameter regularization for solving the backward diffusion problem with parallel-in-time algorithm. (English) Zbl 07780886 Inverse Probl. 40, No. 1, Article ID 015010, 30 p. (2024). MSC: 65M32 65M06 65N06 65M15 65Y05 35R25 35R30 PDFBibTeX XMLCite \textit{J.-L. Fu} and \textit{J. Liu}, Inverse Probl. 40, No. 1, Article ID 015010, 30 p. (2024; Zbl 07780886) Full Text: DOI
Wang, Yating; Liu, Liu On a neural network approach for solving potential control problem of the semiclassical Schrödinger equation. (English) Zbl 07756728 J. Comput. Appl. Math. 438, Article ID 115504, 15 p. (2024). MSC: 65Mxx 35Rxx 35Qxx PDFBibTeX XMLCite \textit{Y. Wang} and \textit{L. Liu}, J. Comput. Appl. Math. 438, Article ID 115504, 15 p. (2024; Zbl 07756728) Full Text: DOI arXiv
Feng, Lixin; Li, Yuan An alternating iterative method for solving the Cauchy problem for the Helmholtz equation in Interior multiply connected domain. (English) Zbl 1523.35133 J. Math. Anal. Appl. 529, No. 1, Article ID 127594, 14 p. (2024). MSC: 35J05 35J25 65N99 PDFBibTeX XMLCite \textit{L. Feng} and \textit{Y. Li}, J. Math. Anal. Appl. 529, No. 1, Article ID 127594, 14 p. (2024; Zbl 1523.35133) Full Text: DOI
Pyatkov, Sergeĭ Grigor’evich; Sokolkov, Oleg Igorevich On some classes of coefficient inverse problems of recovering thermophysical parameters in stratified media. (Russian. English summary) Zbl 07823406 Mat. Zamet. SVFU 30, No. 2, 56-74 (2023). MSC: 35-XX 65-XX PDFBibTeX XMLCite \textit{S. G. Pyatkov} and \textit{O. I. Sokolkov}, Mat. Zamet. SVFU 30, No. 2, 56--74 (2023; Zbl 07823406) Full Text: DOI
Aghazadeh, Arezu; Mahmoudi, Yaghoub On approximating eigenvalues and eigenfunctions of fractional order Sturm-Liouville problems. (English) Zbl 07809634 Comput. Methods Differ. Equ. 11, No. 4, 811-821 (2023). MSC: 45D05 65D99 PDFBibTeX XMLCite \textit{A. Aghazadeh} and \textit{Y. Mahmoudi}, Comput. Methods Differ. Equ. 11, No. 4, 811--821 (2023; Zbl 07809634) Full Text: DOI
Sun, Yao; He, Lijuan; Chen, Bo Application of neural networks to inverse elastic scattering problems with near-field measurements. (English) Zbl 07804438 Electron. Res. Arch. 31, No. 11, 7000-7020 (2023). MSC: 65N21 65N80 65N12 68T07 68Q32 74B05 74J25 74J20 58A14 PDFBibTeX XMLCite \textit{Y. Sun} et al., Electron. Res. Arch. 31, No. 11, 7000--7020 (2023; Zbl 07804438) Full Text: DOI
Postolaki, Lesya; Tokovyy, Yuriy Identification of force loadings on the inner circumference of a finite-length elastic cylinder. (English) Zbl 07801507 ZAMM, Z. Angew. Math. Mech. 103, No. 12, Article ID e202300435, 13 p. (2023). MSC: 65L80 74B05 PDFBibTeX XMLCite \textit{L. Postolaki} and \textit{Y. Tokovyy}, ZAMM, Z. Angew. Math. Mech. 103, No. 12, Article ID e202300435, 13 p. (2023; Zbl 07801507) Full Text: DOI
Bradji, Abdallah; Lesnic, Daniel Steady-state inhomogeneous diffusion with generalized oblique boundary conditions. (English) Zbl 07787594 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2701-2733 (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65N08 65N21 65M12 35J05 35A01 35A02 PDFBibTeX XMLCite \textit{A. Bradji} and \textit{D. Lesnic}, ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2701--2733 (2023; Zbl 07787594) Full Text: DOI
Gao, Guang-hua; Huang, Yu; Sun, Zhi-Zhong The compact difference approach for the fourth-order parabolic equations with the first Neumann boundary value conditions. (English) Zbl 07783885 Math. Methods Appl. Sci. 46, No. 9, 10767-10786 (2023). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{G.-h. Gao} et al., Math. Methods Appl. Sci. 46, No. 9, 10767--10786 (2023; Zbl 07783885) Full Text: DOI
Ragb, Ola; Wazwaz, Abdul-Majid; Mohamed, Mokhtar; Matbuly, M. S.; Salah, Mohamed Fractional differential quadrature techniques for fractional order Cauchy reaction-diffusion equations. (English) Zbl 07783853 Math. Methods Appl. Sci. 46, No. 9, 10216-10233 (2023). MSC: 65L10 35G50 35G55 PDFBibTeX XMLCite \textit{O. Ragb} et al., Math. Methods Appl. Sci. 46, No. 9, 10216--10233 (2023; Zbl 07783853) Full Text: DOI
Wu, Shu-Lin; Wang, Zhiyong; Zhou, Tao PinT preconditioner for forward-backward evolutionary equations. (English) Zbl 07783213 SIAM J. Matrix Anal. Appl. 44, No. 4, 1771-1798 (2023). MSC: 65M55 65F08 65F10 65F22 65F15 65J20 65H10 49M41 65M06 65L06 65M12 65M15 65Y05 15B05 93B05 93B20 PDFBibTeX XMLCite \textit{S.-L. Wu} et al., SIAM J. Matrix Anal. Appl. 44, No. 4, 1771--1798 (2023; Zbl 07783213) Full Text: DOI
Au, Vo Van Well- and ill-posedness for a class of the \(3D\)-generalized Kuramoto-Sivashinsky equations. (English) Zbl 07782173 Z. Angew. Math. Phys. 74, No. 6, Paper No. 247, 28 p. (2023). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35B40 35K35 35K58 35R25 47A52 65N21 PDFBibTeX XMLCite \textit{V. Van Au}, Z. Angew. Math. Phys. 74, No. 6, Paper No. 247, 28 p. (2023; Zbl 07782173) Full Text: DOI
Amdouni, Saber; Ben Abda, Amel The Cauchy problem for Laplace’s equation via a modified conjugate gradient method and energy space approaches. (English) Zbl 07781762 Math. Methods Appl. Sci. 46, No. 4, 3560-3582 (2023). MSC: 65N12 65N15 65N20 65N21 65N22 65N35 PDFBibTeX XMLCite \textit{S. Amdouni} and \textit{A. Ben Abda}, Math. Methods Appl. Sci. 46, No. 4, 3560--3582 (2023; Zbl 07781762) Full Text: DOI
Ahsan, Muhammad; Shams-ul Haq, Khawaja; Liu, Xuan; Ahmad Lone, Showkat; Nisar, Muhammad A Haar wavelets based approximation for nonlinear inverse problems influenced by unknown heat source. (English) Zbl 07781311 Math. Methods Appl. Sci. 46, No. 2, 2475-2487 (2023). MSC: 65M32 65M70 65M06 65N35 65T60 35R30 35R25 80A23 PDFBibTeX XMLCite \textit{M. Ahsan} et al., Math. Methods Appl. Sci. 46, No. 2, 2475--2487 (2023; Zbl 07781311) Full Text: DOI
Boukraa, Mohamed Aziz; Amdouni, Saber; Delvare, Franck Fading regularization FEM algorithms for the Cauchy problem associated with the two-dimensional biharmonic equation. (English) Zbl 07781307 Math. Methods Appl. Sci. 46, No. 2, 2389-2412 (2023). MSC: 65N30 65N12 65N15 65N20 65N21 65N22 PDFBibTeX XMLCite \textit{M. A. Boukraa} et al., Math. Methods Appl. Sci. 46, No. 2, 2389--2412 (2023; Zbl 07781307) Full Text: DOI
Chorfi, Salah-Eddine; El Guermai, Ghita; Maniar, Lahcen; Zouhair, Walid Identification of source terms in wave equation with dynamic boundary conditions. (English) Zbl 07781162 Math. Methods Appl. Sci. 46, No. 1, 911-929 (2023). Reviewer: Bijan Davvaz (Yazd) MSC: 35R30 35L05 35L20 65M32 74H75 PDFBibTeX XMLCite \textit{S.-E. Chorfi} et al., Math. Methods Appl. Sci. 46, No. 1, 911--929 (2023; Zbl 07781162) Full Text: DOI arXiv
Shi, Chengxin; Cheng, Hao; Fan, Wenping An iterative generalized quasi-boundary value regularization method for the backward problem of time fractional diffusion-wave equation in a cylinder. (English) Zbl 07780860 Numer. Algorithms 94, No. 4, 1619-1651 (2023). MSC: 65-XX PDFBibTeX XMLCite \textit{C. Shi} et al., Numer. Algorithms 94, No. 4, 1619--1651 (2023; Zbl 07780860) Full Text: DOI
Cao, Kai Recovery of the time-dependent zero-order coefficient in a fourth-order parabolic problem. (English) Zbl 07777022 Numer. Methods Partial Differ. Equations 39, No. 3, 2652-2689 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{K. Cao}, Numer. Methods Partial Differ. Equations 39, No. 3, 2652--2689 (2023; Zbl 07777022) Full Text: DOI
Berdawood, Karzan A.; Nachaoui, Abdeljalil; Nachaoui, Mourad; Aboud, Fatima An effective relaxed alternating procedure for Cauchy problem connected with Helmholtz equation. (English) Zbl 07776990 Numer. Methods Partial Differ. Equations 39, No. 3, 1888-1914 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{K. A. Berdawood} et al., Numer. Methods Partial Differ. Equations 39, No. 3, 1888--1914 (2023; Zbl 07776990) Full Text: DOI
Huntul, Mousa J.; Tamsir, Mohammad; Dhiman, Neeraj An inverse problem of identifying the time-dependent potential in a fourth-order pseudo-parabolic equation from additional condition. (English) Zbl 07776941 Numer. Methods Partial Differ. Equations 39, No. 2, 848-865 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. J. Huntul} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 848--865 (2023; Zbl 07776941) Full Text: DOI
Sidi, Hamed Ould; Zaky, Mahmoud A.; Qiu, Wenlin; Hendy, Ahmed S. Identification of an unknown spatial source function in a multidimensional hyperbolic partial differential equation with interior degeneracy. (English) Zbl 1528.65065 Appl. Numer. Math. 192, 1-18 (2023). MSC: 65M32 35R30 PDFBibTeX XMLCite \textit{H. O. Sidi} et al., Appl. Numer. Math. 192, 1--18 (2023; Zbl 1528.65065) Full Text: DOI
Ismailov, Mansur I.; Türk, Önder Direct and inverse problems for a 2D heat equation with a Dirichlet-Neumann-Wentzell boundary condition. (English) Zbl 1526.35318 Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107519, 12 p. (2023). MSC: 35R30 35C10 35K20 35P10 65N21 PDFBibTeX XMLCite \textit{M. I. Ismailov} and \textit{Ö. Türk}, Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107519, 12 p. (2023; Zbl 1526.35318) Full Text: DOI
Medeiros, E. F.; De Cezaro, A.; De Cezaro, F. Travessini Uniqueness and regularization in the flexural stiffness coefficient identification problem for a statically determined Euler-Bernoulli beam. (English) Zbl 1524.34045 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107486, 13 p. (2023). MSC: 34A55 34B05 65L09 PDFBibTeX XMLCite \textit{E. F. Medeiros} et al., Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107486, 13 p. (2023; Zbl 1524.34045) Full Text: DOI
Achieng, Pauline; Berntsson, Fredrik; Kozlov, Vladimir Robin-Dirichlet alternating iterative procedure for solving the Cauchy problem for Helmholtz equation in an unbounded domain. (English) Zbl 1525.35075 J. Inverse Ill-Posed Probl. 31, No. 5, 653-667 (2023). MSC: 35J05 35R30 35R25 65N06 PDFBibTeX XMLCite \textit{P. Achieng} et al., J. Inverse Ill-Posed Probl. 31, No. 5, 653--667 (2023; Zbl 1525.35075) Full Text: DOI arXiv
Zayeni, Hatem; Ben Abda, Amel; Delvare, Franck; Khayat, Faten Fading regularization MFS algorithm for the Cauchy problem associated with the two-dimensional Stokes equations. (English) Zbl 07751258 Numer. Algorithms 94, No. 3, 1461-1488 (2023). MSC: 65Nxx PDFBibTeX XMLCite \textit{H. Zayeni} et al., Numer. Algorithms 94, No. 3, 1461--1488 (2023; Zbl 07751258) Full Text: DOI
Chu, Wen-Hui; Fu, Zhuo-Jia; Tang, Zhuo-Chao; Xu, Wen-Zhi; Zhuang, Xiao-Ying A machine learning approach coupled with polar coordinate based localized collocation method for inner surface identification in heat conduction problem. (English) Zbl 07750280 Comput. Math. Appl. 148, 41-61 (2023). MSC: 80A23 65M06 35K57 80A20 65M70 PDFBibTeX XMLCite \textit{W.-H. Chu} et al., Comput. Math. Appl. 148, 41--61 (2023; Zbl 07750280) Full Text: DOI
Jagtap, Nimish V.; Mudunuru, M. K.; Nakshatrala, K. B. CoolPINNs: a physics-informed neural network modeling of active cooling in vascular systems. (English) Zbl 1525.65089 Appl. Math. Modelling 122, 265-287 (2023). MSC: 65M32 68T05 PDFBibTeX XMLCite \textit{N. V. Jagtap} et al., Appl. Math. Modelling 122, 265--287 (2023; Zbl 1525.65089) Full Text: DOI arXiv
Zhong, Min; Hu, Yu Semi-discrete Tikhonov regularization in RKHS with large randomly distributed noise. (English) Zbl 07749163 Inverse Probl. 39, No. 9, Article ID 095005, 23 p. (2023). MSC: 65Jxx 65Dxx 41Axx PDFBibTeX XMLCite \textit{M. Zhong} and \textit{Y. Hu}, Inverse Probl. 39, No. 9, Article ID 095005, 23 p. (2023; Zbl 07749163) Full Text: DOI
Dinmohammadi, Abdollah; Jafarabadi, Ahmad Inverse heat conduction problem with a nonlinear source term by a local strong form of meshless technique based on radial point interpolation method. (English) Zbl 07745047 Comput. Appl. Math. 42, No. 6, Paper No. 284, 29 p. (2023). MSC: 65M32 PDFBibTeX XMLCite \textit{A. Dinmohammadi} and \textit{A. Jafarabadi}, Comput. Appl. Math. 42, No. 6, Paper No. 284, 29 p. (2023; Zbl 07745047) Full Text: DOI
Hu, Bin; Xie, Shuoping; Wang, Zewen Determination of a spacewise-dependent heat source by a logarithmic-type regularization method. (English) Zbl 1523.35297 Appl. Anal. 102, No. 14, 3986-4003 (2023). MSC: 35R30 35K20 65M32 PDFBibTeX XMLCite \textit{B. Hu} et al., Appl. Anal. 102, No. 14, 3986--4003 (2023; Zbl 1523.35297) Full Text: DOI
Qiao, Yu; Xiong, Xiangtuan Simultaneous determination of the space-dependent source and initial value for a two-dimensional heat conduction equation. (English) Zbl 07741347 Comput. Math. Appl. 147, 25-37 (2023). MSC: 35R30 65M32 35R25 35K05 65M30 PDFBibTeX XMLCite \textit{Y. Qiao} and \textit{X. Xiong}, Comput. Math. Appl. 147, 25--37 (2023; Zbl 07741347) Full Text: DOI
Noormohammadi, Nima; Afifi, Danial; Boroomand, Bijan; Bateniparvar, Omid A meshfree method for the solution of 2D and 3D second order elliptic boundary value problems in heterogeneous media. (English) Zbl 07736746 Math. Comput. Simul. 213, 274-301 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{N. Noormohammadi} et al., Math. Comput. Simul. 213, 274--301 (2023; Zbl 07736746) Full Text: DOI
Zhao, Zhongshu; Dong, Haixia; Ying, Wenjun Kernel free boundary integral method for 3D incompressible flow and linear elasticity equations on irregular domains. (English) Zbl 07725701 Comput. Methods Appl. Mech. Eng. 414, Article ID 116163, 23 p. (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{Z. Zhao} et al., Comput. Methods Appl. Mech. Eng. 414, Article ID 116163, 23 p. (2023; Zbl 07725701) Full Text: DOI arXiv
Ge, Meibao; Xu, Dinghua Biparametric identification for a free boundary of ductal carcinoma in situ. (English) Zbl 1522.35516 Appl. Anal. 102, No. 10, 2774-2794 (2023). MSC: 35Q92 92C37 92C32 92C50 35R30 35R35 35R60 35A01 35A02 35K05 65K10 90C56 65M32 65M30 65F22 65J20 65M06 PDFBibTeX XMLCite \textit{M. Ge} and \textit{D. Xu}, Appl. Anal. 102, No. 10, 2774--2794 (2023; Zbl 1522.35516) Full Text: DOI
Athanasiadou, E. S.; Arkoudis, I. The method of fundamental solutions for electromagnetic scattering by a perfect conductor in chiral environment. (English) Zbl 07725207 J. Math. Anal. Appl. 528, No. 1, Article ID 127463, 21 p. (2023). MSC: 78Axx 35Qxx 65Nxx PDFBibTeX XMLCite \textit{E. S. Athanasiadou} and \textit{I. Arkoudis}, J. Math. Anal. Appl. 528, No. 1, Article ID 127463, 21 p. (2023; Zbl 07725207) Full Text: DOI
Durdiev, Durdimurod; Durdiev, Dilshod An inverse problem of finding a time-dependent coefficient in a fractional diffusion equation. (English) Zbl 07717030 Turk. J. Math. 47, No. 5, 1437-1452 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{D. Durdiev} and \textit{D. Durdiev}, Turk. J. Math. 47, No. 5, 1437--1452 (2023; Zbl 07717030) Full Text: DOI
Nguyen Thi Ngoc Oanh; Le Thi Thu Giang The necessary optimal condition of inverse heat source problem. (English) Zbl 1518.35682 Evol. Equ. Control Theory 12, No. 5, 1433-1446 (2023). MSC: 35R30 35K20 65J20 65N21 PDFBibTeX XMLCite \textit{Nguyen Thi Ngoc Oanh} and \textit{Le Thi Thu Giang}, Evol. Equ. Control Theory 12, No. 5, 1433--1446 (2023; Zbl 1518.35682) Full Text: DOI
Shi, Chengxin; Cheng, Hao Identify the Robin coefficient in an inhomogeneous time-fractional diffusion-wave equation. (English) Zbl 1518.35686 J. Comput. Appl. Math. 434, Article ID 115337, 12 p. (2023). MSC: 35R30 35R11 65M32 PDFBibTeX XMLCite \textit{C. Shi} and \textit{H. Cheng}, J. Comput. Appl. Math. 434, Article ID 115337, 12 p. (2023; Zbl 1518.35686) Full Text: DOI
Gong, Rongfang; Wang, Min; Huang, Qin; Zhang, Ye A CCBM-based generalized GKB iterative regularization algorithm for inverse Cauchy problems. (English) Zbl 1519.35070 J. Comput. Appl. Math. 432, Article ID 115282, 26 p. (2023). MSC: 35J05 35J25 35R30 65N30 PDFBibTeX XMLCite \textit{R. Gong} et al., J. Comput. Appl. Math. 432, Article ID 115282, 26 p. (2023; Zbl 1519.35070) Full Text: DOI
Jday, Fadhel; Omri, Haithem Adaptive Runge-Kutta regularization for a Cauchy problem of a modified Helmholtz equation. (English) Zbl 1519.35071 J. Inverse Ill-Posed Probl. 31, No. 3, 351-374 (2023). MSC: 35J05 35J25 65N21 PDFBibTeX XMLCite \textit{F. Jday} and \textit{H. Omri}, J. Inverse Ill-Posed Probl. 31, No. 3, 351--374 (2023; Zbl 1519.35071) Full Text: DOI
Azis, Mohammad Ivan Numerical simulation for unsteady anisotropic-diffusion convection equation of spatially variable coefficients and incompressible flow. (English) Zbl 1514.65120 Tamkang J. Math. 54, No. 1, 1-20 (2023). MSC: 65M38 35K51 44A10 35N10 PDFBibTeX XMLCite \textit{M. I. Azis}, Tamkang J. Math. 54, No. 1, 1--20 (2023; Zbl 1514.65120) Full Text: DOI
Annaby, M. H.; Al-Abdi, I. A.; Ghaleb, A. F.; Abou-Dina, M. S. Shannon-Taylor technique for solving one-dimensional inverse heat conduction problem. (English) Zbl 1527.65085 Japan J. Ind. Appl. Math. 40, No. 2, 1107-1123 (2023). MSC: 65M32 65D05 65M15 15B05 35K05 41A58 80A23 35Q79 35R30 35R60 PDFBibTeX XMLCite \textit{M. H. Annaby} et al., Japan J. Ind. Appl. Math. 40, No. 2, 1107--1123 (2023; Zbl 1527.65085) Full Text: DOI
Gong, Xingtian; Yang, Shuwei A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain. (English) Zbl 1518.35028 Bound. Value Probl. 2023, Paper No. 30, 12 p. (2023). MSC: 35A35 35J05 35R25 45A05 65R30 PDFBibTeX XMLCite \textit{X. Gong} and \textit{S. Yang}, Bound. Value Probl. 2023, Paper No. 30, 12 p. (2023; Zbl 1518.35028) Full Text: DOI
Vo Anh Khoa; Nguyen Dat Thuc; Gunaratne, Ajith Analysis and simulation of a variational stabilization for the Helmholtz equation with noisy Cauchy data. (English) Zbl 07700177 BIT 63, No. 2, Paper No. 37, 42 p. (2023). MSC: 65J05 65J20 35K92 PDFBibTeX XMLCite \textit{Vo Anh Khoa} et al., BIT 63, No. 2, Paper No. 37, 42 p. (2023; Zbl 07700177) Full Text: DOI arXiv
Hai, Dinh Nguyen Duy Identifying a space-dependent source term in distributed order time-fractional diffusion equations. (English) Zbl 07697854 Math. Control Relat. Fields 13, No. 3, 1008-1022 (2023). MSC: 65Nxx 26A33 35R30 47A52 65N15 PDFBibTeX XMLCite \textit{D. N. D. Hai}, Math. Control Relat. Fields 13, No. 3, 1008--1022 (2023; Zbl 07697854) Full Text: DOI
Sarraf, Aydin; Baharifard, Fatemeh; Rashedi, Kamal A decoupled physics-informed neural network for recovering a space-dependent force function in the wave equation from integral overdetermination data. (English) Zbl 1524.35768 Comput. Appl. Math. 42, No. 4, Paper No. 178, 20 p. (2023). MSC: 35R30 35L20 65M70 68T07 PDFBibTeX XMLCite \textit{A. Sarraf} et al., Comput. Appl. Math. 42, No. 4, Paper No. 178, 20 p. (2023; Zbl 1524.35768) Full Text: DOI
Wen, Jin; Yue, Chong-Wang; Liu, Zhuan-Xia; Wang, Shi-Juan Fractional Tikhonov regularization method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation. (English) Zbl 1516.35479 Rocky Mt. J. Math. 53, No. 1, 249-273 (2023). MSC: 35R11 35K20 35R30 41A28 65N21 PDFBibTeX XMLCite \textit{J. Wen} et al., Rocky Mt. J. Math. 53, No. 1, 249--273 (2023; Zbl 1516.35479) Full Text: DOI Link
Wang, Zhongjian; Zhang, Wenlong; Zhang, Zhiwen A data-driven model reduction method for parabolic inverse source problems and its convergence analysis. (English) Zbl 07690228 J. Comput. Phys. 487, Article ID 112156, 15 p. (2023). MSC: 65Mxx 35Rxx 65Nxx PDFBibTeX XMLCite \textit{Z. Wang} et al., J. Comput. Phys. 487, Article ID 112156, 15 p. (2023; Zbl 07690228) Full Text: DOI arXiv
Bucataru, Mihai; Cimpean, Iulian; Marin, Liviu Stable reconstruction of discontinuous solutions to the Cauchy problem in steady-state anisotropic heat conduction with non-smooth coefficients. (English) Zbl 1515.80007 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 1029-1062 (2023). MSC: 80A23 65N20 65N21 65N30 35Q93 35R30 PDFBibTeX XMLCite \textit{M. Bucataru} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 2, 1029--1062 (2023; Zbl 1515.80007) Full Text: DOI
Wang, Chao; Gu, Yan; Qiu, Lin; Wang, Fajie Analysis of 3D transient heat conduction in functionally graded materials using a local semi-analytical space-time collocation scheme. (English) Zbl 1521.80038 Eng. Anal. Bound. Elem. 149, 203-212 (2023). MSC: 80M99 65M80 65M70 80A19 PDFBibTeX XMLCite \textit{C. Wang} et al., Eng. Anal. Bound. Elem. 149, 203--212 (2023; Zbl 1521.80038) Full Text: DOI
Tadi, M.; Radenkovic, M. A unified solution method for linear elliptic Cauchy problems. (English) Zbl 1524.65738 Comput. Appl. Math. 42, No. 3, Paper No. 113, 20 p. (2023). MSC: 65N21 35J05 31A30 78A46 65K10 65J20 65N06 65N80 PDFBibTeX XMLCite \textit{M. Tadi} and \textit{M. Radenkovic}, Comput. Appl. Math. 42, No. 3, Paper No. 113, 20 p. (2023; Zbl 1524.65738) Full Text: DOI
Wang, Yujie; Zheng, Enxi; Guo, Wenke The method of fundamental solutions for the scattering problem of an open cavity. (English) Zbl 1521.78029 Eng. Anal. Bound. Elem. 146, 436-447 (2023). MSC: 78M99 65M80 78A45 PDFBibTeX XMLCite \textit{Y. Wang} et al., Eng. Anal. Bound. Elem. 146, 436--447 (2023; Zbl 1521.78029) Full Text: DOI
Zang, Quansheng; Bordas, Stéphane P. A.; Liu, Jun; Natarajan, Sundararajan NURBS-enhanced polygonal scaled boundary finite element method for heat diffusion in anisotropic media with internal heat sources. (English) Zbl 1521.74271 Eng. Anal. Bound. Elem. 148, 279-292 (2023). MSC: 74S05 65M60 65D07 80A19 PDFBibTeX XMLCite \textit{Q. Zang} et al., Eng. Anal. Bound. Elem. 148, 279--292 (2023; Zbl 1521.74271) Full Text: DOI
Shaaban, Ahmed Mostafa; Anitescu, Cosmin; Atroshchenko, Elena; Rabczuk, Timon Isogeometric indirect BEM solution based on virtual continuous sources placed directly on the boundary of 2D Helmholtz acoustic problems. (English) Zbl 1521.76516 Eng. Anal. Bound. Elem. 148, 243-255 (2023). MSC: 76M15 65M38 PDFBibTeX XMLCite \textit{A. M. Shaaban} et al., Eng. Anal. Bound. Elem. 148, 243--255 (2023; Zbl 1521.76516) Full Text: DOI
Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu An efficient moving pseudo-boundary MFS for void detection. (English) Zbl 1521.65128 Eng. Anal. Bound. Elem. 147, 90-111 (2023). MSC: 65N35 65N21 65N38 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Eng. Anal. Bound. Elem. 147, 90--111 (2023; Zbl 1521.65128) Full Text: DOI
Chen, Kun-Yung; Tu, Te-Wen Inverse estimation of time-varying heat transfer coefficients for a hollow cylinder by using self-learning particle swarm optimization. (English) Zbl 07677988 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 1, 359-372 (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{K.-Y. Chen} and \textit{T.-W. Tu}, Int. J. Nonlinear Sci. Numer. Simul. 24, No. 1, 359--372 (2023; Zbl 07677988) Full Text: DOI
Shi, Chengxin; Cheng, Hao; Geng, Xiaoxiao The backward problem for an inhomogeneous time-fractional diffusion-wave equation in an axis-symmetric cylinder. (English) Zbl 07674324 Comput. Math. Appl. 137, 44-60 (2023). MSC: 65-XX 35R30 35R11 35R25 65J20 26A33 PDFBibTeX XMLCite \textit{C. Shi} et al., Comput. Math. Appl. 137, 44--60 (2023; Zbl 07674324) Full Text: DOI
Botchev, Mikhail A.; Kabanikhin, Sergey I.; Shishlenin, Maxim A.; Tyrtyshnikov, Eugene E. The Cauchy problem for the 3D Poisson equation: Landweber iteration vs. horizontally diagonalize and fit method. (English) Zbl 1514.65157 J. Inverse Ill-Posed Probl. 31, No. 2, 203-221 (2023). MSC: 65N21 65N20 65K10 65F22 65F15 65N15 35J05 35B65 35R30 PDFBibTeX XMLCite \textit{M. A. Botchev} et al., J. Inverse Ill-Posed Probl. 31, No. 2, 203--221 (2023; Zbl 1514.65157) Full Text: DOI
Pyatkov, S. G.; Baranchuk, V. A. Determination of the heat transfer coefficient in mathematical models of heat and mass transfer. (English. Russian original) Zbl 1509.80006 Math. Notes 113, No. 1, 93-108 (2023); translation from Mat. Zametki 113, No. 1, 90-108 (2023). MSC: 80A23 35R30 80A19 35K05 35N10 35A01 35A02 80M50 45D05 65R20 PDFBibTeX XMLCite \textit{S. G. Pyatkov} and \textit{V. A. Baranchuk}, Math. Notes 113, No. 1, 93--108 (2023; Zbl 1509.80006); translation from Mat. Zametki 113, No. 1, 90--108 (2023) Full Text: DOI
Park, Won-Kwang On the application of MUSIC algorithm for identifying short sound-hard arcs in limited-view inverse acoustic problem. (English) Zbl 1524.76404 Wave Motion 117, Article ID 103114, 17 p. (2023). MSC: 76Q05 33C10 65N80 35R30 78A46 76M99 PDFBibTeX XMLCite \textit{W.-K. Park}, Wave Motion 117, Article ID 103114, 17 p. (2023; Zbl 1524.76404) Full Text: DOI
Alosaimi, M.; Lesnic, D. Determination of a space-dependent source in the thermal-wave model of bio-heat transfer. (English) Zbl 1524.65308 Comput. Math. Appl. 129, 34-49 (2023). MSC: 65M06 35R30 35L20 65J20 35K20 35R25 35A15 65K10 65N06 65M22 65M30 80A19 35Q92 PDFBibTeX XMLCite \textit{M. Alosaimi} and \textit{D. Lesnic}, Comput. Math. Appl. 129, 34--49 (2023; Zbl 1524.65308) Full Text: DOI
Jiang, Yi; Liu, Jun; Wang, Xiang-Sheng A direct parallel-in-time quasi-boundary value method for inverse space-dependent source problems. (English) Zbl 1505.65254 J. Comput. Appl. Math. 423, Article ID 114958, 19 p. (2023). MSC: 65M32 65M30 65M12 65M15 65F35 65F05 65J20 65Y05 PDFBibTeX XMLCite \textit{Y. Jiang} et al., J. Comput. Appl. Math. 423, Article ID 114958, 19 p. (2023; Zbl 1505.65254) Full Text: DOI arXiv
Zhang, Mengmeng; Li, Qianxiao; Liu, Jijun On stability and regularization for data-driven solution of parabolic inverse source problems. (English) Zbl 07640536 J. Comput. Phys. 474, Article ID 111769, 20 p. (2023). MSC: 35Kxx 65Mxx 35Rxx PDFBibTeX XMLCite \textit{M. Zhang} et al., J. Comput. Phys. 474, Article ID 111769, 20 p. (2023; Zbl 07640536) Full Text: DOI
Abid, Chaima; Abda, Amel Ben; Fatma, Riadh Ben; Boukari, Yosra A data completion algorithm using an integral representation of the Steklov-Poincaré operator. (English) Zbl 1504.65242 J. Comput. Appl. Math. 422, Article ID 114855, 13 p. (2023). MSC: 65N20 65N21 65K10 65R20 65F08 65F10 65N12 35J05 35R25 PDFBibTeX XMLCite \textit{C. Abid} et al., J. Comput. Appl. Math. 422, Article ID 114855, 13 p. (2023; Zbl 1504.65242) Full Text: DOI
Jiang, Yi; Liu, Jun Fast parallel-in-time quasi-boundary value methods for backward heat conduction problems. (English) Zbl 1510.65229 Appl. Numer. Math. 184, 325-339 (2023). Reviewer: Petr Sváček (Praha) MSC: 65M32 65M06 65N06 65T50 65F50 65F05 60H50 35K05 35Q79 35R30 35R25 35R60 PDFBibTeX XMLCite \textit{Y. Jiang} and \textit{J. Liu}, Appl. Numer. Math. 184, 325--339 (2023; Zbl 1510.65229) Full Text: DOI arXiv
Alpar, Sultan; Rysbaiuly, Bolatbek Determination of thermophysical characteristics in a nonlinear inverse heat transfer problem. (English) Zbl 1511.49023 Appl. Math. Comput. 440, Article ID 127656, 19 p. (2023). MSC: 49N45 35C05 35K20 35R11 35R30 65M32 80A23 PDFBibTeX XMLCite \textit{S. Alpar} and \textit{B. Rysbaiuly}, Appl. Math. Comput. 440, Article ID 127656, 19 p. (2023; Zbl 1511.49023) Full Text: DOI
Khoa, Vo Anh Convergence of a spectral regularization of a time-reversed reaction-diffusion problem with high-order Sobolev-Gevrey smoothness. (English) Zbl 07601342 J. Math. Anal. Appl. 518, No. 1, Article ID 126666, 20 p. (2023). MSC: 65Mxx 35Kxx 35Rxx PDFBibTeX XMLCite \textit{V. A. Khoa}, J. Math. Anal. Appl. 518, No. 1, Article ID 126666, 20 p. (2023; Zbl 07601342) Full Text: DOI arXiv
Ouni, Marwa; Habbal, Abderrahmane; Kallel, Moez A three-player Nash game for point-wise source identification in Cauchy-Stokes problems. (English) Zbl 1502.65214 J. Comput. Appl. Math. 417, Article ID 114613, 23 p. (2023). MSC: 65N30 65K10 65N21 65N20 76D07 91A80 91A06 35J15 35R60 PDFBibTeX XMLCite \textit{M. Ouni} et al., J. Comput. Appl. Math. 417, Article ID 114613, 23 p. (2023; Zbl 1502.65214) Full Text: DOI
Denisov, A. M.; Solov’eva, S. I. Numerical methods for determining the coefficient and the source term in the heat equation. (English. Russian original) Zbl 07818382 Comput. Math. Model. 33, No. 4, 389-400 (2022); translation from Prikl. Mat. Inf. 72, 4-15 (2023). MSC: 35-XX 65-XX PDFBibTeX XMLCite \textit{A. M. Denisov} and \textit{S. I. Solov'eva}, Comput. Math. Model. 33, No. 4, 389--400 (2022; Zbl 07818382); translation from Prikl. Mat. Inf. 72, 4--15 (2023) Full Text: DOI
Dib, Fatima; Kirane, Mokhtar An inverse source problem for a two terms time-fractional diffusion equation. (English) Zbl 07801816 Bol. Soc. Parana. Mat. (3) 40, Paper No. 28, 15 p. (2022). MSC: 80A23 65N21 26A33 45J05 34K37 42A16 PDFBibTeX XMLCite \textit{F. Dib} and \textit{M. Kirane}, Bol. Soc. Parana. Mat. (3) 40, Paper No. 28, 15 p. (2022; Zbl 07801816) Full Text: DOI
Jacinto, Cibele Cornejo; Tadeu, António; de Lacerda, Luiz Alkimin A new approach for solving heat conduction under zero and non-zero initial conditions. (English) Zbl 07789040 Eng. Anal. Bound. Elem. 144, 185-198 (2022). MSC: 80-XX 65-XX PDFBibTeX XMLCite \textit{C. C. Jacinto} et al., Eng. Anal. Bound. Elem. 144, 185--198 (2022; Zbl 07789040) Full Text: DOI
Huntul, M. J.; Tamsir, Mohammad; Dhiman, Neeraj Identification of time-dependent potential in a fourth-order pseudo-hyperbolic equation from additional measurement. (English) Zbl 07780980 Math. Methods Appl. Sci. 45, No. 9, 5249-5266 (2022). MSC: 65M20 PDFBibTeX XMLCite \textit{M. J. Huntul} et al., Math. Methods Appl. Sci. 45, No. 9, 5249--5266 (2022; Zbl 07780980) Full Text: DOI
Kumar, Sunil; Ghosh, Surath; Jleli, Mohamed; Araci, Serkan A fractional system of Cauchy-reaction diffusion equations by adopting Robotnov function. (English) Zbl 07777097 Numer. Methods Partial Differ. Equations 38, No. 3, 470-489 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Kumar} et al., Numer. Methods Partial Differ. Equations 38, No. 3, 470--489 (2022; Zbl 07777097) Full Text: DOI
Nanda, Phalguni; Reddy, Gujji Murali Mohan Efficient numerical solution of one-phase linear inverse Stefan and Cauchy-Stefan problems in two dimensions: a posteriori error control. (English) Zbl 07776534 Stud. Appl. Math. 148, No. 4, 1563-1585 (2022). MSC: 65M15 65N80 76T99 PDFBibTeX XMLCite \textit{P. Nanda} and \textit{G. M. M. Reddy}, Stud. Appl. Math. 148, No. 4, 1563--1585 (2022; Zbl 07776534) Full Text: DOI
Mostajeran, F.; Mokhtari, R. DeepBHCP: deep neural network algorithm for solving backward heat conduction problems. (English) Zbl 07699221 Comput. Phys. Commun. 272, Article ID 108236, 15 p. (2022). MSC: 80-XX 65-XX PDFBibTeX XMLCite \textit{F. Mostajeran} and \textit{R. Mokhtari}, Comput. Phys. Commun. 272, Article ID 108236, 15 p. (2022; Zbl 07699221) Full Text: DOI
Rashedi, Kamal; Baharifard, Fatemeh; Sarraf, Aydin Stable recovery of a space-dependent force function in a one-dimensional wave equation via Ritz collocation method. (English) Zbl 1524.35349 J. Math. Model. 10, No. 4, 463-480 (2022). MSC: 35L05 35R30 65M32 65N35 PDFBibTeX XMLCite \textit{K. Rashedi} et al., J. Math. Model. 10, No. 4, 463--480 (2022; Zbl 1524.35349) Full Text: DOI
Abbasi, Majid; Ramezani, Mehdi An interval chaos insight to iterative decomposition method for Rossler differential equation by considering stable uncertain coefficients. (English) Zbl 1524.65950 Comput. Methods Differ. Equ. 10, No. 4, 1115-1122 (2022). MSC: 65P20 34A45 65L05 PDFBibTeX XMLCite \textit{M. Abbasi} and \textit{M. Ramezani}, Comput. Methods Differ. Equ. 10, No. 4, 1115--1122 (2022; Zbl 1524.65950) Full Text: DOI
Durdiev, Durdimurod; Durdiev, Dilshod The Fourier spectral method for determining a heat capacity coefficient in a parabolic equation. (English) Zbl 1509.65089 Turk. J. Math. 46, No. 8, 3223-3233 (2022). Reviewer: Christian Clason (Graz) MSC: 65M32 65M70 65M06 65N35 65N06 35Q79 35K05 49M41 PDFBibTeX XMLCite \textit{D. Durdiev} and \textit{D. Durdiev}, Turk. J. Math. 46, No. 8, 3223--3233 (2022; Zbl 1509.65089) Full Text: DOI
Tahami, Mahdieh; Hemmat, Ataollah Askari Two-dimensional wavelet with matrix dilation \(M=2I\) and its application in solving integral equations. (English) Zbl 1513.65546 Kragujevac J. Math. 46, No. 4, 649-666 (2022). MSC: 65T60 42C40 65R20 45B05 PDFBibTeX XMLCite \textit{M. Tahami} and \textit{A. A. Hemmat}, Kragujevac J. Math. 46, No. 4, 649--666 (2022; Zbl 1513.65546) Full Text: Link
Yu, Bo; Hu, Pengmin; Wei, Peng; Cao, Geyong; Wang, Baozheng The identification of voids and inclusions based on the parameter level set method using boundary data. (English) Zbl 1505.65298 Appl. Math. Modelling 112, 505-539 (2022). MSC: 65N30 35R30 74P10 80A19 PDFBibTeX XMLCite \textit{B. Yu} et al., Appl. Math. Modelling 112, 505--539 (2022; Zbl 1505.65298) Full Text: DOI
Feng, Xiaoli; Zhao, Lizhi The backward problem of stochastic convection-diffusion equation. (English) Zbl 1501.35455 Bull. Malays. Math. Sci. Soc. (2) 45, No. 6, 3535-3560 (2022). MSC: 35R30 35K20 35R60 60G22 65M32 PDFBibTeX XMLCite \textit{X. Feng} and \textit{L. Zhao}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 6, 3535--3560 (2022; Zbl 1501.35455) Full Text: DOI
Fakhraei, Javad; Arcos, Robert; Pàmies, Teresa; Romeu, Jordi 2.5D singular boundary method for exterior acoustic radiation and scattering problems. (English) Zbl 1521.76503 Eng. Anal. Bound. Elem. 143, 293-304 (2022). MSC: 76M15 65N38 76Q05 PDFBibTeX XMLCite \textit{J. Fakhraei} et al., Eng. Anal. Bound. Elem. 143, 293--304 (2022; Zbl 1521.76503) Full Text: DOI
Azis, Mohammad Ivan A boundary integral equation formulation for an unsteady anisotropic-diffusion convection equation of exponentially variable coefficients and compressible flow. (English) Zbl 1504.35281 Kyungpook Math. J. 62, No. 3, 557-581 (2022). MSC: 35Q35 35K51 35N10 44A10 65M38 65M80 76N10 76R50 PDFBibTeX XMLCite \textit{M. I. Azis}, Kyungpook Math. J. 62, No. 3, 557--581 (2022; Zbl 1504.35281) Full Text: DOI
Antunes, Pedro R. S. A well-conditioned method of fundamental solutions for Laplace equation. (English) Zbl 1500.65011 Numer. Algorithms 91, No. 3, 1381-1405 (2022). MSC: 65N80 35J05 PDFBibTeX XMLCite \textit{P. R. S. Antunes}, Numer. Algorithms 91, No. 3, 1381--1405 (2022; Zbl 1500.65011) Full Text: DOI arXiv
Chapko, R.; Johansson, B. T. Calculating heat and wave propagation from the lateral Cauchy data. (English) Zbl 1501.65055 Ukr. Math. J. 74, No. 2, 314-326 (2022) and Ukr. Mat. Zh. 74, No. 2, 274-285 (2022). MSC: 65M32 65M30 65M06 65N38 65N06 65N80 65F22 35K05 35J15 33C45 35R30 PDFBibTeX XMLCite \textit{R. Chapko} and \textit{B. T. Johansson}, Ukr. Math. J. 74, No. 2, 314--326 (2022; Zbl 1501.65055) Full Text: DOI
Cheng, Wei; Liu, Yi-Liang; Zhao, Qi A posteriori regularization method for the two-dimensional inverse heat conduction problem. (English) Zbl 1496.65146 Open Math. 20, 1030-1038 (2022). MSC: 65M30 35R30 35R25 65M15 PDFBibTeX XMLCite \textit{W. Cheng} et al., Open Math. 20, 1030--1038 (2022; Zbl 1496.65146) Full Text: DOI
Al Attas, H.; Boumenir, A. Reconstruction of a heat equation from one point observations. (English) Zbl 1513.35542 Commun. Appl. Math. Comput. 4, No. 4, 1280-1292 (2022). MSC: 35R30 65M32 PDFBibTeX XMLCite \textit{H. Al Attas} and \textit{A. Boumenir}, Commun. Appl. Math. Comput. 4, No. 4, 1280--1292 (2022; Zbl 1513.35542) Full Text: DOI
Wen, Jin; Liu, Zhuan-Xia; Yue, Chong-Wang; Wang, Shi-Juan Landweber iteration method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation. (English) Zbl 07597397 J. Appl. Math. Comput. 68, No. 5, 3219-3250 (2022). MSC: 65-XX 35R11 41A28 65N21 PDFBibTeX XMLCite \textit{J. Wen} et al., J. Appl. Math. Comput. 68, No. 5, 3219--3250 (2022; Zbl 07597397) Full Text: DOI
Parvaz, Samaneh; Zakeri, Ali; Aminataei, Azim A quasi solution for a nonlinear inverse stochastic partial differential equation of parabolic type. (English) Zbl 1498.60290 Bull. Iran. Math. Soc. 48, No. 5, 2145-2158 (2022). MSC: 60H35 65L09 PDFBibTeX XMLCite \textit{S. Parvaz} et al., Bull. Iran. Math. Soc. 48, No. 5, 2145--2158 (2022; Zbl 1498.60290) Full Text: DOI
Nanda, P.; Reddy, G. M. M.; Vynnycky, M. Inverse two-phase nonlinear Stefan and Cauchy-Stefan problems: a phase-wise approach. (English) Zbl 1524.80017 Comput. Math. Appl. 123, 216-226 (2022). MSC: 80A23 80A22 35R35 35K05 35R30 65M32 PDFBibTeX XMLCite \textit{P. Nanda} et al., Comput. Math. Appl. 123, 216--226 (2022; Zbl 1524.80017) Full Text: DOI
Zhang, Li-Ping; Li, Zi-Cai; Wei, Yimin; Huang, Hung-Tsai Spurious eigenvalue-free algorithms of the method of fundamental solutions for solving the Helmholtz equation in bounded multiply connected domains. (English) Zbl 1497.65254 Numer. Algorithms 91, No. 2, 895-932 (2022). MSC: 65N80 65N12 65N15 35J05 PDFBibTeX XMLCite \textit{L.-P. Zhang} et al., Numer. Algorithms 91, No. 2, 895--932 (2022; Zbl 1497.65254) Full Text: DOI
Meng, Qingchun; Zhang, Lei Numerical solution of the three-dimensional inverse heat conduction problems. (Chinese. English summary) Zbl 1513.65376 Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 1, 187-200 (2022). MSC: 65M60 PDFBibTeX XMLCite \textit{Q. Meng} and \textit{L. Zhang}, Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 1, 187--200 (2022; Zbl 1513.65376) Full Text: Link
Zhang, Hongwu One regularization method for a Cauchy problem of semilinear elliptic equation. (Chinese. English summary) Zbl 1513.35255 Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 1, 45-57 (2022). MSC: 35J61 65J20 PDFBibTeX XMLCite \textit{H. Zhang}, Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 1, 45--57 (2022; Zbl 1513.35255) Full Text: Link
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 1521.74416 Eng. Anal. Bound. Elem. 140, 132-144 (2022). MSC: 74S99 65M32 35R11 65M70 74A15 PDFBibTeX XMLCite \textit{W. Hu} et al., Eng. Anal. Bound. Elem. 140, 132--144 (2022; Zbl 1521.74416) Full Text: DOI
Cheng, Suifu; Wang, Fajie; Li, Po-Wei; Qu, Wenzhen Singular boundary method for 2D and 3D acoustic design sensitivity analysis. (English) Zbl 1524.76368 Comput. Math. Appl. 119, 371-386 (2022). MSC: 76Q05 65N80 65N38 35J05 76M15 PDFBibTeX XMLCite \textit{S. Cheng} et al., Comput. Math. Appl. 119, 371--386 (2022; Zbl 1524.76368) Full Text: DOI
Bucataru, Mihai; Cîmpean, Iulian; Marin, Liviu A gradient-based regularization algorithm for the Cauchy problem in steady-state anisotropic heat conduction. (English) Zbl 1524.65707 Comput. Math. Appl. 119, 220-240 (2022). MSC: 65N06 35J20 35R30 65J20 PDFBibTeX XMLCite \textit{M. Bucataru} et al., Comput. Math. Appl. 119, 220--240 (2022; Zbl 1524.65707) Full Text: DOI