Search Results - numerical solution to inverse problems in abstract (spaces* OR space*)

A local meshless method for the numerical solution of space‐dependent inverse heat problems by Khan, Muhammad Nawaz, Siraj‐ul‐Islam, Hussain, Iltaf, Ahmad, Imtiaz, Ahmad, Hijaz

“…In this paper, a local radial basis function collocation method is proposed for the numerical solution of inverse space…”
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Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems by Sakamoto, Kenichi, Yamamoto, Masahiro

“…) the uniqueness of solution by the decay rate as t → ∞ , (iv) stability in an inverse source problem of determining t-dependent factor in the source by observation at one point over ( 0 , T ) …”
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Hanke–Raus rule for Landweber iteration in Banach spaces by Real, Rommel R.

“…We consider the Landweber iteration for solving linear as well as nonlinear inverse problems in Banach spaces…”
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Numerical methods for time-fractional evolution equations with nonsmooth data: A concise overview by Jin, Bangti, Lazarov, Raytcho, Zhou, Zhi

“… The present paper gives a concise overview on numerical schemes for the subdiffusion model with nonsmooth problem data, which are important for the numerical analysis of many problems arising…”
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A Deep Learning Approach to Navigating the Joint Solution Space of Redundant Inverse Kinematics and Its Applications to Numerical IK Computations by Ho, Chi-Kai, Chan, Li-Wei, King, Chung-Ta, Yen, Ting-Yu

“… Numerical optimizations are commonly used to solve the problem due to their generality and accuracy…”
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Approximation of inverse problems for fractional differential equations in abstract spaces by Ruhil, Santosh, Malik, Muslim, Nisar, Kottakkaran Sooppy, Shammari, Fahad Sameer Al

“…This article focuses on approximating a fractional-order inverse problem (IP) for an abstract differential equation in a Hilbert space…”
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The Mathematics of Atmospheric Dispersion Modeling by Stockie, John M.

“… The results are then applied to solving an inverse problem in which emission source rates are determined from a given set of ground-level contaminant measurements…”
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Uniqueness of a Solution to the Lavrent’ev Integral Equation in n-Dimensional Space by Kokurin, M. M., Klyuchev, V. V., Gavrilova, A. V.

“… Conditions under which the studied equation has a unique solution are established. Results of numerical experiments concerning the solution of the inverse acoustic…”
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Error Estimates of a Space‐Time Spectral Method for Nonlinear Klein–Gordon Equation With Unknown Coefficients by Qiao, Yan, Wu, Hua

“…ABSTRACT A space‐time spectral method combined with mollification method is proposed for the inverse coefficient problem of the nonlinear Klein–Gordon equation…”
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A novel space–time meshless method for solving the backward heat conduction problem by Ku, Cheng-Yu, Liu, Chih-Yu, Yeih, Weichung, Liu, Chein-Shan, Fan, Chia-Ming

“…•A novel spacetime meshless method for solving the backward heat conduction problem…”
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A Time–Space Numerical Procedure for Solving the Sideways Heat Conduction Problem by Tan, Ching-Chuan, Shih, Chao-Feng, Shen, Jian-Hung, Chen, Yung-Wei

“…This paper proposes a solution to the sideways heat conduction problem (SHCP) based on the time and space integration direction…”
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A Unifying Representer Theorem for Inverse Problems and Machine Learning by Unser, Michael

“… The method is applicable whenever the problem is formulated as an optimization task. The standard strategy consists in augmenting the original cost functional by an energy that penalizes solutions with undesirable behavior…”
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Efficient PINNs via multi-head unimodular regularization of the solutions space by Tarancón-Álvarez, Pedro, Tejerina-Pérez, Pablo, Jimenez, Raul, Protopapas, Pavlos

“… Here we present a machine learning framework to facilitate the solution of nonlinear multiscale differential equations and, especially, inverse problems using Physics-Informed Neural Networks (PINNs…”
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UNCERTAINTY QUANTIFICATION AND WEAK APPROXIMATION OF AN ELLIPTIC INVERSE PROBLEM by DASHTI, M., STUART, A. M.

“…We consider the inverse problem of determining the permeability from the pressure in a Darcy model of flow in a porous medium…”
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Latent-space inversion (LSI): a deep learning framework for inverse mapping of subsurface flow data by Razak, Syamil Mohd, Jiang, Anyue, Jafarpour, Behnam

“…This paper presents Latent-Space Inversion (LSI) as a new data-informed inversion and parameterization framework where dimensionality reduction is tailored to flow physics that governs the behavior of subsurface systems…”
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Uncertainty assessment for inverse problems in high dimensional spaces using particle swarm optimization and model reduction techniques by Fernández-Martínez, J.L., Mukerji, T., García-Gonzalo, E., Fernández-Muñiz, Z.

“… Thus, both a large number of parameters and very costly forward evaluations hamper the use of global algorithms in inverse problems…”
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An inverse method for real-time estimation of aerothermal heating for thermal protection systems of space vehicles by Uyanna, Obinna, Najafi, Hamidreza, Rajendra, Bhuvaneswari

“…•The effect of temperature dependent material properties on the solution is explored. Space vehicles experience extremely high aerothermal heating during atmospheric entry which necessitates the use of appropriate thermal protection system (TPS…”
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The method of fundamental solutions for the inverse space-dependent heat source problem by Nili Ahmadabadi, M., Arab, M., Maalek Ghaini, F.M.

“…In this study, the inverse heat source problem in which the heat source is space-dependent is treated…”
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Algorithm for Determining the Types of Inverse Kinematics Solutions for Sequential Planar Robots and Their Representation in the Configuration Space by Chavdarov, Ivan, Naydenov, Bozhidar

“…The work defines in a new way the different types of solutions of the inverse kinematics (IK…”
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Numerical Inversion of Space-Time-Dependent Sources in the Integer-Fractional Two-Region Solute Transport System by Yu, Chengyuan, Liu, Wenyi, Li, Gongsheng

“…Abstract-This article deals with an inverse problem of determining two space-time-dependent sources in an integerfractional mobile-immobile two-region solute transport system by additional Dirichlet-Neumann data…”
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