Third Order Dynamical Systems for the Sum of Two Generalized Monotone Operators

Authors: Pham Viet Hai, Phan Tu Vuong

Source: Journal of Optimization Theory and Applications. 202:519-553

Subject Terms: Inverse Problems in Mathematical Physics and Imaging, Economics, 0211 other engineering and technologies, Nonlinear Operators, Geometry, 02 engineering and technology, Mathematical analysis, Quantum mechanics, 01 natural sciences, Numerical Methods, Microscopic Simulators, FOS: Mathematics, Multiscale Methods for Heterogeneous Systems, Iterative Algorithms, 0101 mathematics, Mathematical Physics, Order (exchange), Theory of computation, Physics, Mathematical optimization, Pure mathematics, Iterative Algorithms for Nonlinear Operators and Optimization, Applied mathematics, Algorithm, Computational Theory and Mathematics, Computer Science, Physical Sciences, Monotone polygon, Dynamical systems theory, Multiscale Methods, Mathematics, Monotonic function, Finance

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Regularizing effect of absorbtion term in singular and degenerate elliptic problems

Authors: Abdelaaziz Sbai, Youssef El Hadfi

Source: Boletim da Sociedade Paranaense de Matemática, Vol 42 (2024)

Subject Terms: Singular Perturbation, Inverse Problems in Mathematical Physics and Imaging, Mathematical analysis, Quantum mechanics, 01 natural sciences, Tikhonov Regularization, Term (time), Mathematics - Analysis of PDEs, Numerical Methods for Singularly Perturbed Problems, QA1-939, FOS: Mathematics, Multiscale Methods for Heterogeneous Systems, Convection-Diffusion Problems, 0101 mathematics, Mathematical Physics, Numerical Analysis, Degenerate energy levels, Physics, Elliptic Problems, Regularization Methods, Computational Theory and Mathematics, Computer Science, Physical Sciences, 35A21, 35B20, 35B25, 35B45, 35D30, 35J60, 35J70, 35J75, Mathematics, Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2008.03597
https://doaj.org/article/7409737cd36440e897dfff89d85c8955

Symmetrization for Mixed Operators: Symmetrization for mixed operators

Authors: Sabri Bahrouni

Source: Annales Mathematicae Silesianae, Vol 39, Iss 1, Pp 64-75 (2024)

Subject Terms: Inverse Problems in Mathematical Physics and Imaging, Spectral Theory of Differential Operators, Symmetrization, Coarse-Grained Computation, talenti's comparison, 01 natural sciences, Faber-Krahn' mixed operators, 35r11, Boundary value problems for second-order elliptic equations, 47a75, Microscopic Simulators, QA1-939, FOS: Mathematics, Multiscale Methods for Heterogeneous Systems, 0101 mathematics, Mathematical Physics, Homogenization, Talenti's comparison, Pure mathematics, faber–krahn' mixed operators, 16. Peace & justice, Fractional partial differential equations, Schrödinger Operators, Differential Operators, Computational Theory and Mathematics, Combinatorics, Computer Science, Physical Sciences, Eigenvalue problems for linear operators, Mathematics

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THE CONDITIONAL STABILITY AND AN ITERATIVE REGULARIZATION METHOD FOR A FRACTIONAL INVERSE ELLIPTIC PROBLEM OF TRICOMI-GELLERSTEDT-KELDYSH TYPE

Authors: Sebti Djemoui, Mohamed Sief Eddine Meziani, Nadjib Boussetila

Source: Mathematical Modelling and Analysis, Vol 29, Iss 1 (2024)
Mathematical Modelling and Analysis; Vol 29 No 1 (2024); 23–45

Subject Terms: Artificial intelligence, fractional elliptic equations, Inverse Problems in Mathematical Physics and Imaging, Geometry, 01 natural sciences, Mathematical analysis, ill-posed problems, iterative regularization method, Machine learning, QA1-939, FOS: Mathematics, Regularization (linguistics), 0101 mathematics, Stability (learning theory), Biology, Mathematical Physics, Anomalous Diffusion Modeling and Analysis, Ecology, inverse problems, a posteriori parameter choice rule, Applied Mathematics, 4. Education, Applied mathematics, 16. Peace & justice, Computer science, Nonlocal Partial Differential Equations and Boundary Value Problems, Regularization Methods, Modeling and Simulation, FOS: Biological sciences, Physical Sciences, Tricomi-Gellerstedt-Keldysh equations, Inverse, Type (biology), Mathematics

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Access URL: https://doaj.org/article/3a37c2fc7f45463ea80b1d24122b84c9
https://journals.vilniustech.lt/index.php/MMA/article/view/16783

Inverse problems for general parabolic systems and application to Ornstein-Uhlenbeck equation

Authors: El Mustapha Ait Ben Hassi, Salah‐Eddine Chorfi, Lahcen Maniar

Source: Discrete and Continuous Dynamical Systems - S. 17:1966-1980

Subject Terms: Financial economics, Dissipative system, Artificial intelligence, Observability, Class (philosophy), Inverse Problems in Mathematical Physics and Imaging, Inverse Scattering Theory, Economics, Inverse Problems, Semigroup, Geometry, 35R30, 93C25, 93B07, 35K90, 35K65, Mathematical analysis, Quantum mechanics, 01 natural sciences, Convexity, Mathematics - Analysis of PDEs, Engineering, State (computer science), Machine learning, FOS: Mathematics, Multiscale Methods for Heterogeneous Systems, Logarithm, 0101 mathematics, Stability (learning theory), Mathematics - Optimization and Control, Mathematical Physics, Physics, Applied mathematics, Computer science, Algorithm, Computational Theory and Mathematics, Control and Systems Engineering, Optimization and Control (math.OC), Physical Sciences, Computer Science, Inverse problem, Analysis and Control of Distributed Parameter Systems, Inverse, Stability, Mathematics, Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2110.01321

A two-phase Stefan problem with power-type temperature-dependent thermal conductivity. Existence of a solution by two fixed points and numerical results

Authors: Julieta Bollati, Marı́a F. Natale, José A. Semitiel, Domingo A. Tarzia

Source: AIMS Mathematics, Vol 9, Iss 8, Pp 21189-21211 (2024)

Subject Terms: stefan problem, Banach fixed point theorem, Inverse Problems in Mathematical Physics and Imaging, Materials Science, FOS: Mechanical engineering, Phase (matter), banach fixed point theorem, Heat Conduction, Mathematical analysis, Quantum mechanics, 01 natural sciences, 7. Clean energy, Thermal Conductivity Enhancement, Unavailability, Engineering, QA1-939, Materials Chemistry, FOS: Mathematics, Thermal conduction, 0101 mathematics, Mathematical Physics, similarity solution, 9. Industry and infrastructure, Mechanical Engineering, Physics, Statistics, Thermal Conductivity, Thermal Energy Storage with Phase Change Materials, Stefan problem, Applied mathematics, Heat Balance integral method, Similarity solution, heat balance integral method, Thermal conductivity, Boundary (topology), Physical Sciences, Thermodynamics, Temperature-dependent thermal conductivity, Nanoscale Thermal Transport in Carbon Materials, temperature-dependent thermal conductivity, Mathematics

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Access URL: https://doaj.org/article/5e0b4ca84a3446f99c1865309ad85ad9
http://hdl.handle.net/11336/239992

Numerical solutions of Troesch's problem based on a faster iterative scheme with an application

Authors: Junaid Ahmad, Muhammad Arshad, Zhenhua Ma

Source: AIMS Mathematics, Vol 9, Iss 4, Pp 9164-9183 (2024)

Subject Terms: numerical solution, Numerical Analysis, Inverse Problems in Mathematical Physics and Imaging, Inverse Problems, Mathematical optimization, green's function, iterative scheme, Applied mathematics, Computer science, Mathematical analysis, 01 natural sciences, Atomic and Molecular Physics, and Optics, Iterative method, Physics and Astronomy, Numerical Methods for Singularly Perturbed Problems, Physical Sciences, QA1-939, FOS: Mathematics, Electromagnetic Scattering with Integral Equations, 0101 mathematics, troesch's problem, fractional bvps, Mathematical Physics, Mathematics, Scheme (mathematics)

Access URL: https://doaj.org/article/d4e5238922364415b01b270b72bf5695

A recent proximal gradient algorithm for convex minimization problem using double inertial extrapolations

Authors: Suparat Kesornprom, Papatsara Inkrong, Uamporn Witthayarat, Prasit Cholamjiak

Source: AIMS Mathematics, Vol 9, Iss 7, Pp 18841-18859 (2024)

Subject Terms: Artificial intelligence, Inverse Problems in Mathematical Physics and Imaging, Convex Optimization, Economics, Inverse Problems, minimization problem, 0211 other engineering and technologies, Computational Mechanics, Biomedical Engineering, Geometry, 02 engineering and technology, FOS: Medical engineering, 01 natural sciences, Mathematical analysis, Quantum mechanics, Sparse Approximation, inertial extrapolation, Engineering, Compressed Sensing, Convex function, QA1-939, FOS: Mathematics, Image (mathematics), Orthogonal Matching Pursuit, 0101 mathematics, Mathematical Physics, Economic growth, Computer network, forward-backward algorithm, Minification, Physics, Mathematical optimization, Advances in Photoacoustic Imaging and Tomography, Lipschitz continuity, Rate of convergence, Theory and Applications of Compressed Sensing, Computer science, Convex optimization, Regular polygon, Algorithm, Channel (broadcasting), Physical Sciences, Convergence (economics), weak convergence, Inertial frame of reference, Mathematics

Access URL: https://doaj.org/article/3d497ac52ad64ebda166be4248739767

Double inertial steps extragadient-type methods for solving optimal control and image restoration problems

Authors: Austine Efut Ofem, Jacob Ashiwere Abuchu, Godwin Chidi Ugwunnadi, Hossam A. Nabwey, Abubakar Adamu, Ojen Kumar Narain

Source: AIMS Mathematics, Vol 9, Iss 5, Pp 12870-12905 (2024)

Subject Terms: Artificial intelligence, Inverse Problems in Mathematical Physics and Imaging, 0211 other engineering and technologies, Aerospace Engineering, FOS: Mechanical engineering, variational inequality problem, Control (management), pseudo-monotone operator, 02 engineering and technology, 01 natural sciences, Image restoration, Engineering, Image processing, QA1-939, FOS: Mathematics, Image (mathematics), Control theory (sociology), Classical mechanics, 0101 mathematics, Mathematical Physics, Control engineering, Physics, Paleontology, Geology, Iterative Algorithms for Nonlinear Operators and Optimization, FOS: Earth and related environmental sciences, Computer science, strong convergence, fixed point, Computational Theory and Mathematics, viscosity, Computer Science, Physical Sciences, Inertial frame of reference, Type (biology), subgradient extragradient method, Mathematics, Autonomous Aerial Refueling Systems for UAVs

Access URL: https://doaj.org/article/3e09228a0fdf4d98b10092437860d194

On the nonlocal hybrid $ ({\mathsf{k}}, {\rm{\mathsf{φ}}}) $-Hilfer inverse problem with delay and anticipation

Authors: Abdelkrim Salim, Sabri T. M. Thabet, Imed Kédim, Miguel Vivas–Cortez

Source: AIMS Mathematics. 9:22859-22882

Subject Terms: Artificial intelligence, Inverse Problems in Mathematical Physics and Imaging, Inverse Scattering Theory, Applied Mathematics, Inverse Problems, Physics, Anticipation (artificial intelligence), Spectral Theory of Differential Operators, Geometry, Integro-Differential Equations, Computer science, 01 natural sciences, Nonlocal Partial Differential Equations and Boundary Value Problems, Inverse Spectral Problems, Combinatorics, Mathematical physics, Physical Sciences, FOS: Mathematics, Inverse, 0101 mathematics, Mathematical Physics, Mathematics

Coupling local and nonlocal equations with Neumann boundary conditions

Authors: Gabriel Acosta, Francisco M. Bersetche, Julio D. Rossi

Source: Revista de la Unión Matemática Argentina. :533-565

Subject Terms: Neumann boundary condition, Inverse Problems in Mathematical Physics and Imaging, Applied Mathematics, Pure mathematics, FOS: Mechanical engineering, 01 natural sciences, Mathematical analysis, Nonlocal Partial Differential Equations and Boundary Value Problems, Mechanical engineering, Mathematics - Analysis of PDEs, Boundary Value Problems, Engineering, Computational Theory and Mathematics, Boundary (topology), Computer Science, Physical Sciences, FOS: Mathematics, Coupling (piping), Multiscale Methods for Heterogeneous Systems, 0101 mathematics, Von Neumann architecture, Boundary value problem, Mathematical Physics, Mathematics, Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2112.00120

Numerical solutions of nonlocal heat conduction technique in tumor thermal therapy

Authors: Ibrahim A. Abbas, Aatef Hobiny, Alaa A. El-Bary

Source: Acta Mechanica. 235:1865-1875

Subject Terms: Thermoelastic Damping and Heat Conduction, Heat Transfer Enhancement in Nanofluids, Inverse Problems in Mathematical Physics and Imaging, Laplace transform, Biomedical Engineering, Bioheat Transfer, Evolutionary biology, 02 engineering and technology, FOS: Medical engineering, Mechanics, 01 natural sciences, Heat Conduction, Mathematical analysis, Engineering, Meteorology, 0203 mechanical engineering, 0103 physical sciences, Heat transfer, FOS: Mathematics, Hyperthermia, Thermal conduction, Solid mechanics, Biology, Mathematical Physics, Physics, Heat Transfer, Applied mathematics, Materials science, 3. Good health, Mechanics of Materials, Function (biology), Physical Sciences, Thermodynamics, Bioheat transfer, Mathematics, Discretization

Breast Cancer Screening Using a Modified Inertial Projective Algorithms for Split Feasibility Problems

Authors: Pennipat Nabheerong, Warissara Kiththiworaphongkich, Watcharaporn Cholamjiak

Source: Int J Breast Cancer
International Journal of Breast Cancer, Vol 2023 (2023)

Subject Terms: Artificial intelligence, Inverse Problems in Mathematical Physics and Imaging, Convex Optimization, Economics, Computational Mechanics, Engineering, Breast cancer, Compressed Sensing, Health Sciences, Machine learning, FOS: Mathematics, Matrix Completion, Orthogonal Matching Pursuit, Breast cancer screening, Internal medicine, RC254-282, Mathematical Physics, Economic growth, Cancer, Role of Chemokine Receptors in Cancer Metastasis, Neoplasms. Tumors. Oncology. Including cancer and carcinogens, Linguistics, Theory and Applications of Compressed Sensing, Computer science, Dictionary Learning, FOS: Philosophy, ethics and religion, Algorithm, Philosophy, Oncology, Physical Sciences, Convergence (economics), FOS: Languages and literature, Medicine, Recall, Mathematics, Research Article, Mammography

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Access URL: https://pubmed.ncbi.nlm.nih.gov/37720822
https://doaj.org/article/69f7838b314b43adbba60633d71b29f0

A second order asymptotic model for diffusion MRI in permeable media

Authors: Marwa Kchaou, Jing-Rebecca Li

Contributors: Sciences, EDP

Source: ESAIM: Mathematical Modelling and Numerical Analysis. 57:1953-1980

Subject Terms: Radiology, Nuclear Medicine and Imaging, Finite element method, Inverse Problems in Mathematical Physics and Imaging, Permeability (electromagnetism), Asymptotic analysis, Structural engineering, higher-order diffusion tensor, [MATH] Mathematics [math], Mechanics, 01 natural sciences, Mathematical analysis, Biochemistry, Diffusion MRI, diffusion MRI, Diffusion, 03 medical and health sciences, 0302 clinical medicine, Differential equation, Engineering, Health Sciences, FOS: Mathematics, Multiscale Methods for Heterogeneous Systems, Homogenization (climate), 0101 mathematics, Anisotropic Water Diffusion, Biology, Mathematical Physics, Homogenization, Ecology, Physics, Membrane, Partial differential equation, Biodiversity, Asymptotic homogenization, Upscaling Techniques, Transverse plane, Chemistry, Diffusion Magnetic Resonance Imaging, Computational Theory and Mathematics, Bloch–Torrey equation, FOS: Biological sciences, Computer Science, Physical Sciences, Medicine, Thermodynamics, Multiscale Methods, Mathematics, Ordinary differential equation

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Existence and multiplicity of solutions for a class of critical anisotropic elliptic equations of Schrödinger–Kirchhoff‐type

Authors: Nabil Chems Eddine, Phuong D. Nguyen, Maria Alessandra Ragusa

Source: Mathematical Methods in the Applied Sciences. 46:16782-16801

Subject Terms: Schrodinger-Kirchhoff-type problems, Dirichlet boundary conditions, p (x)-Laplacian, Anisotropic variable mean curvature oper ator, Anisotropic variable exponent Sobolev spaces, Concentration-compactness principle, Artificial intelligence, Class (philosophy), Inverse Problems in Mathematical Physics and Imaging, Geometry, Compact space, Mathematical analysis, Quantum mechanics, Scaling, Variational Problems, Fractional Laplacian Operators, Elliptic curve, FOS: Mathematics, Multiscale Methods for Heterogeneous Systems, Variable (mathematics), Nonlinear Equations, Mathematical Physics, Exponent, Applied Mathematics, Physics, Critical Exponents, Pure mathematics, Linguistics, Elliptic Problems, Applied mathematics, Critical exponent, Computer science, FOS: Philosophy, ethics and religion, Philosophy, Multiplicity (mathematics), Computational Theory and Mathematics, Physical Sciences, Computer Science, Nonlinear system, FOS: Languages and literature, Anisotropy, Mathematics

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Access URL: https://hdl.handle.net/20.500.11769/562469
https://doi.org/10.1002/mma.9474

A unified Bayesian inversion approach for a class of tumor growth models with different pressure laws

Authors: Feng Yu, Ming Liu, Zhennan Zhou

Source: ESAIM: Mathematical Modelling and Numerical Analysis. 58:613-638

Subject Terms: 0301 basic medicine, Artificial intelligence, Class (philosophy), Inverse Problems in Mathematical Physics and Imaging, Inverse Scattering Theory, Tumor Dynamics, FOS: Political science, Inverse Problems, Bayesian inference, 01 natural sciences, Political science, Seismology, Mathematical Physics, Compressibility, Physics, Mathematical optimization, Statistics, Life Sciences, Geology, Numerical Analysis (math.NA), Structural basin, Stochasticity in Gene Regulatory Networks, Algorithm, Computational Theory and Mathematics, Modeling and Simulation, Physical Sciences, Inverse problem, Thermodynamics, 35R30 62F15 65M32 92-10, FOS: Law, Cancer Growth, Bayesian probability, Mathematical analysis, Inversion (geology), 03 medical and health sciences, Biochemistry, Genetics and Molecular Biology, FOS: Mathematics, Multiscale Methods for Heterogeneous Systems, Mathematics - Numerical Analysis, 0101 mathematics, Molecular Biology, Biology, Mathematical Modeling of Cancer Growth and Treatment, Tectonics, Paleontology, FOS: Earth and related environmental sciences, Applied mathematics, Computer science, Upscaling Techniques, Parametric statistics, Computer Science, Law, Mathematics

Access URL: http://arxiv.org/abs/2306.02060

A Mesh-Free Algorithm to Solve an Inverse Source Problem for Degenerate Two-Dimensional Parabolic Equation from Final Observations

Authors: Khalid Atifi

Source: Armenian Journal of Mathematics. 15:1-11

Subject Terms: FOS: Computer and information sciences, Inverse Problems in Mathematical Physics and Imaging, Bioinformatics, Inverse Problems, Geometry, Mathematical analysis, Quantum mechanics, FOS: Mathematics, Work (physics), Biology, Mathematical Physics, Parabolic partial differential equation, Degenerate energy levels, Domain (mathematical analysis), Physics, 4. Education, Partial differential equation, Applied mathematics, Computer science, Algorithm, Degeneracy (biology), Physical Sciences, Inverse problem, Thermodynamics, Inverse, Mathematics

Regularization of Nonlocal Pseudo-Parabolic Equation with Random Noise

Authors: Yusuf Gurefe, Dinh Long Le, Devendra Kumar

Source: Electronic Journal of Applied Mathematics. 1:40-61

Subject Terms: Artificial intelligence, Inverse Problems in Mathematical Physics and Imaging, Inverse Scattering Theory, Inverse Problems, Geometry, Epistemology, 01 natural sciences, Mathematical analysis, Random noise, FOS: Mathematics, Multiscale Methods for Heterogeneous Systems, Regularization (linguistics), 0101 mathematics, Mathematical Physics, Anomalous Diffusion Modeling and Analysis, Time-Fractional Diffusion Equation, 4. Education, Mathematical optimization, A priori and a posteriori, Applied mathematics, Computer science, FOS: Philosophy, ethics and religion, Algorithm, Regularization Methods, Philosophy, Computational Theory and Mathematics, Modeling and Simulation, Physical Sciences, Computer Science, Inverse problem, Noisy data, Well-posed problem, Inverse, Mathematics, Anomalous Diffusion

Fast superconvergent solvers for weakly singular Hammerstein equations

Authors: Mohamed Arrai, Chafik Allouch, Abderrahim Aslimani

Source: Numerical Algorithms. 97:345-372

Subject Terms: Finite element method, Inverse Problems in Mathematical Physics and Imaging, Dykstra's projection algorithm, Economics, Inverse Problems, Local Convergence, Quadrature (astronomy), Superconvergence, Mathematical analysis, 01 natural sciences, Convergence Analysis of Iterative Methods for Nonlinear Equations, Higher-Order Methods, Engineering, FOS: Mathematics, Projection method, 0101 mathematics, Biology, Anomalous Diffusion Modeling and Analysis, Mathematical Physics, Economic growth, Numerical Analysis, Computer network, Ecology, Physics, 4. Education, Projection (relational algebra), Mathematical optimization, Pure mathematics, Partition (number theory), Rate of convergence, Applied mathematics, Computer science, Algorithm, Piecewise, Combinatorics, Channel (broadcasting), Modeling and Simulation, FOS: Biological sciences, Electrical engineering, Physical Sciences, Convergence (economics), Kernel (algebra), Thermodynamics, Iterative Methods, Type (biology), Mathematics

An Efficient Iterative Algorithm for Solving the Split Feasibility Problem in Hilbert Spaces Applicable in Image Deblurring, Signal Recovering, and Polynomiography

Authors: Lanchakorn Kittiratanawasin, Damrongsak Yambangwai, Chonjaroen Chairatsiripong, Tanakit Thianwan

Source: Journal of Mathematics, Vol 2023 (2023)

Subject Terms: Inverse Problems in Mathematical Physics and Imaging, Economics, Bilevel Programming, Inverse Problems, Acceleration, Computational Mechanics, Fixed-Point Problems, Mathematical analysis, 01 natural sciences, Sparse Approximation, Image restoration, Engineering, Image processing, QA1-939, FOS: Mathematics, Image (mathematics), Classical mechanics, Iterative Algorithms, 0101 mathematics, Mathematical Physics, Economic growth, Signal recovery, Physics, Mathematical optimization, Hilbert space, Iterative Algorithms for Nonlinear Operators and Optimization, Theory and Applications of Compressed Sensing, Applied mathematics, Computer science, Iterative method, Algorithm, Computational Theory and Mathematics, Deblurring, Computer Science, Physical Sciences, Convergence (economics), Compressed sensing, Computer vision, Mathematics

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Access URL: https://doaj.org/article/0652f88aafcc4ee59901a1fcce0be678