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Reconstruction of the Time-Dependent Diffusion Coefficient in a Space-Fractional Parabolic Equation
We propose two algorithms for investigation the numerical reconstruction of the time-dependent diffusion coefficient in a space-fractional parabolic...
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Determining of a Space Dependent Coefficient of Fractional Diffusion Equation with the Generalized Riemann–Liouville Time Derivative
AbstractThis work investigates an initial-boundary value and an inverse coefficient problem of determining a space dependent coefficient in the...
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Inverse Problems of Determination of the Time-Dependent Coefficient of a Parabolic Equation with Involution and Antiperiodicity Conditions
By the method of separation of variables, we construct the solution of the investigated problem with an unknown coefficient in the differential...
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Approximation of the Subdiffusion Equation with Solution-dependent Fractional Time Derivative and Diffusion Coefficient
AbstractWe consider a boundary value problem for a nonlinear subdiffusion equation with Caputo fractional time derivative of the order
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Time-Dependent Reliability Analysis
In practical engineering problems, reliability analysis often involves nonlinear, implicit, and computationally expensive relationships between the...
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An inverse problem for investigating the time-dependent coefficient in a higher-order equation
In this paper, we considered an inverse problem of recovering the time-dependent potential coefficient, for the first time, in the sixth-order...
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Subdiffusion with Time-Dependent Coefficients
So far we have only studied time-fractional evolution equations where the elliptic operator is time independent. The analysis therein heavily relies...
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An inverse problem of reconstructing the time-dependent coefficient in a one-dimensional hyperbolic equation
In this paper, for the first time the inverse problem of reconstructing the time-dependent potential (TDP) and displacement distribution in the...
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Coarse-grid operator optimization in multigrid reduction in time for time-dependent Stokes and Oseen problems
Multigrid reduction in time (MGRIT), one of the most popular parallel-in-time approaches, extracts temporal parallelism by constructing coarse grids...
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Problem of Determining the Time Dependent Coefficient in the Fractional Diffusion-Wave Equation
AbstractIn this article the inverse problem of determining the time depending coefficient in the Cauchy problem for a time-fractional diffusion-wave...
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Nonlinear Inverse Problems for Parabolic Equations with Time–Dependent Coefficients. Reduction to Nonlocal Problems with Samarskii–Ionkin Type Conditions
We consider coefficient inverse problems of finding a solution and a time-dependent coefficient of a parabolic equation under boundary...
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Time Dependent Inverse Source Problems for Integrodifferential Kelvin-Voigt System
In this work, time-dependent inverse source problems for an integrodifferential Kelvin-Voigt (Navier-Stokes-Voigt) system governing a flow of...
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Robust and accurate reconstruction of the time-dependent continuous volatility from option prices
In this paper, we propose a robust and accurate reconstruction algorithm for the time-dependent continuous volatility function using observed option...
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Solving Time-Dependent PDEs with the Ultraspherical Spectral Method
We apply the ultraspherical spectral method to solving time-dependent PDEs by proposing two approaches to discretization based on the method of lines...
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Time-dependent contact mechanics
Contact geometry allows us to describe some thermodynamic and dissipative systems. In this paper we introduce a new geometric structure in order to...
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On the recovery of a time dependent diffusion coefficient for a space fractional diffusion equation
An inverse problem of recovering a time dependent diffusion coefficient for a space-fractional diffusion equation has been considered. The space...
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Distinguished Coefficient Tensors
One of the main goals in the current volume is to employ boundary layer potential operators associated with a given second-order weakly elliptic...
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Tenth-Order Accurate Numerical Method for Solving the Time-Dependent Schrödinger Equation
AbstractA tenth-order accurate method for the numerical solution of the time-dependent Schrödinger equation is presented. The method is based on the...
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Stochastic Galerkin Methods for Time-Dependent Radiative Transfer Equations with Uncertain Coefficients
The generalized polynomial chaos (gPC) method is one of the most popular method for uncertainty quantification. Being essentially a spectral...
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A Dynamic Mode Decomposition Based Reduced-Order Model For Parameterized Time-Dependent Partial Differential Equations
We propose a reduced-order model (ROM) based on dynamic mode decomposition (DMD) for efficient reduced-order modeling of parameterized time-dependent...
