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Inverse Problems: Tikhonov Theory And Algorithms

• Authors : Kazufumi Ito; Bangti Jin

Subjects: Inverse problems (Differential equations)--Numerical solutionsMATHEMATICS / Applied; MATHEMATICS / Complex Analysis; MATHEMATICS / Optimization

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Structured Over-Relaxed Monotone FISTA for Linear Inverse Problems in Image Restoration.

• Authors : Chen, Zixuan^1,2 (AUTHOR); Zhao, Xinzhu^2,3 (AUTHOR)

• Source: Axioms (2075-1680). Mar2026, Vol. 15 Issue 3, p235. 15p.

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Analysis of Inverse Problems in Geotechnical Engineering-Underground Pipelines and Magnetometric Research.

• Authors : Movchan, I. B.¹; Yakovleva, A. A.¹; Semenov, V. V.²

Subjects: *Underground pipelines; *Magnetic testing; *Data analysis

• Source: International Journal of Engineering Transactions C: Aspects. Jun2026, Vol. 39 Issue 6, p1346-1356. 11p.

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WF-PINNs: solving forward and inverse problems of burgers equation with steep gradients using weak-form physics-informed neural networks.

• Authors : Wang, Xianke¹ (AUTHOR); Yi, Shichao^1,2,3 (AUTHOR) ; Gu, Huangliang⁴ (AUTHOR)

• Source: Scientific Reports. 11/18/2025, Vol. 15 Issue 1, p1-17. 17p.

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A Comparative study between Boundary and Finite Element Techniques for solving Inverse Problems.

• Authors : Saeed, Farah A.¹ ; Ghafel, Sarah F.²

Subjects: *Inverse problems; *Finite element method; *Boundary value problems

• Source: Misan Journal of Academic Studies. Sep2025, Vol. 24 Issue 55, p24-33. 10p.

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Inverse problems for discrete Hermite nabla difference equation.

• Authors : Shiri, B.¹ (AUTHOR) ; Guang, Y.² (AUTHOR); Baleanu, D.^3,4 (AUTHOR)

• Source: Applied Mathematics in Science & Engineering. Dec2025, Vol. 33 Issue 1, p1-15. 15p.

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Symmetry, Conservation Law, Uniqueness and Stability of Optimal Control and Inverse Problems for Burgers' Equation.

• Authors : Qin, Yifan¹ (AUTHOR); Qin, Jiale^1,2 (AUTHOR); Yi, Shichao^1,2,3 (AUTHOR)

• Source: Symmetry (20738994). Nov2025, Vol. 17 Issue 11, p1927. 20p.

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Efficient sparsity-promoting MAP estimation for Bayesian linear inverse problems

• Authors : Lindbloom, Jonathan; Glaubitz, Jan; Gelb, Anne

Subjects: image reconstruction; Bayesian inverse problems; sparsity-promoting hierarchical Bayesian learning

• Source: Inverse Problems. 41(2)

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Noise-Adaptive Diffusion Sampling for Inverse Problems Without Task-Specific Tuning

• Authors : Xia, Yingzhi; Tanomkiattikun, Setthakorn; Zhen, Liangli

Subjects: Machine Learning; Artificial Intelligence; Computer Vision and Pattern Recognition

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Inverse problems for a coupled system of wave equations with point source-receiver data

• Authors : Bhardwaj, Rahul; Vashisth, Manmohan

Subjects: Analysis of PDEs

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