Cover Image

POD/DEIM Reduced-Order Modeling of Time-Fractional Partial Differential Equations with Applications in Parameter Identification

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Fu, Hongfei, Wang, Hong, Wang, Zhu
Format:	Preprint
Published:	2016
Subjects:	Numerical Analysis 35R11, 65M32, 65M06, 65M22
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

An Efficient Numerical Scheme for a Time-Fractional Burgers Equation with Caputo-Prabhakar Derivative
by: Singh, Deeksha, et al.
Published: (2024)

High-order nonuniform time-stepping and MBP-preserving linear schemes for the time-fractional Allen-Cahn equation
by: Zhang, Bingyin, et al.
Published: (2025)

A Fully Discrete Energy-Based Discontinuous Galerkin Method for Variable-Order Time-Fractional Wave Equations
by: Zhang, Lu
Published: (2026)

Crank-Nicolson schemes for sub-diffusion equations with nonsingular and singular source terms in time
by: Zhou, Han, et al.
Published: (2023)

Numerical reconstructions of a source term in a mobile-immobile diffusion model from the partial interior observation
by: Yang, Zhiwei, et al.
Published: (2025)

A backward problem for the time-fractional pseudo-parabolic equation with a variable coefficient
by: Altybay, Arshyn
Published: (2026)

Analysis of a WSGD scheme for backward fractional Feynman-Kac equation with nonsmooth data
by: Hao, Liyao, et al.
Published: (2023)

Fractional-step High-order and Bound-preserving Method for Convection Diffusion Equations
by: Kuang, Baolin, et al.
Published: (2024)

A numerical study for tempered time-fractional advection-dispersion equation on graded meshes
by: Huang, Liangcai, et al.
Published: (2026)

An Arbitrarily Higher-Order Time Implicit Scheme for Maxwell's Equations
by: Arya, Archana, et al.
Published: (2024)

Reconstruction of source function in a parabolic equation using partial boundary measurements
by: Sharma, T., et al.
Published: (2025)

Two Frameworks and their Fourth Order Implicit Schemes for Time Discretization of Maxwell's Equations
by: Arya, Archana, et al.
Published: (2026)

The extended adjoint state and nonlinearity in correlation-based passive imaging
by: Nguyen, Tram Thi Ngoc
Published: (2025)

Error analysis of the space-time interface-fitted finite element method for an inverse source problem for an advection-diffusion equation with moving subdomains
by: Ta, Thi Thanh Mai, et al.
Published: (2025)

Numerical identification of the time-dependent coefficient in the heat equation with fractional Laplacian
by: Altybay, Arshyn, et al.
Published: (2025)

Maximum-Norm Error Estimates of Fourth-Order Compact and ADI Compact Finite Difference Methods for Nonlinear Coupled Bacterial Systems
by: Xu, Jie, et al.
Published: (2024)

Variational optimization approach for reconstruction of dielectric permittivity and conductivity functions using partial boundary measurements
by: Lindström, Eric, et al.
Published: (2026)

Dynamic-stabilization-based linear schemes for the Allen-Cahn equation with degenerate mobility: MBP and energy stability
by: Fu, Hongfei, et al.
Published: (2025)

A Positivity-Preserving Relaxation Algorithm
by: Izgin, Thomas, et al.
Published: (2026)

Numerical analysis of a time-stepping method for the Westervelt equation with time-fractional damping
by: Baker, Katherine, et al.
Published: (2022)

Stable Volume Dissipation for High-Order Finite-Difference and Spectral-Element Methods with the Summation-by-Parts Property
by: Bercik, Alex, et al.
Published: (2025)

An Unconditionally Linearly Convergent ADMM Approach for the Allen-Cahn Equation with Flory-Huggins Potential
by: Jiang, Peng, et al.
Published: (2026)

Numerical reconstruction of orders in coupled systems of subdiffusion equations
by: Liu, Yikan
Published: (2025)

Mathematical analysis and symmetric fractional-order reduction method for diffusion-wave equations
by: Cen, Dakang, et al.
Published: (2026)

On Properties of Compact 4th order Finite-Difference Schemes for the Variable Coefficient Wave Equation
by: Zlotnik, Alexander, et al.
Published: (2021)

Strang splitting structure-preserving high-order compact difference schemes for nonlinear convection diffusion equations
by: Kuang, Baolin, et al.
Published: (2024)

Numerical Approximation of Gaussian random fields on Closed Surfaces
by: Bonito, Andrea, et al.
Published: (2022)

Bi-level regularization via iterative mesh refinement for aeroacoustics
by: Aarset, Christian, et al.
Published: (2024)

Bi-level iterative regularization for inverse problems in nonlinear PDEs
by: Nguyen, Tram Thi Ngoc
Published: (2023)

Entropy-split multidimensional summation-by-parts discretization of the Euler and compressible Navier-Stokes equations
by: Worku, Zelalem Arega, et al.
Published: (2023)

Numerical study on a multi-dimensional pressureless Euler-type model with non-local interactions and chemotaxis for collective cell migration
by: Menci, Marta, et al.
Published: (2025)

A positive meshless finite difference scheme for scalar conservation laws with adaptive artificial viscosity driven by fault detection
by: Bracco, Cesare, et al.
Published: (2024)

Numerical analysis of high-order methods for variable-exponent fractional diffusion-wave equation
by: Qiu, Wenlin, et al.
Published: (2024)

Alikhanov-XfPINNs: Adaptive Physics-Informed Learning for Nonlinear Fractional PDEs on Nonuniform Meshes
by: Dwivedi, Himanshu Kumar, et al.
Published: (2026)

LR-WaveHoltz: A Low-Rank Helmholtz Solver
by: Granath, Andreas, et al.
Published: (2025)

An adaptive dynamical low-rank optimizer for solving kinetic parameter identification inverse problems
by: Baumann, Lena, et al.
Published: (2025)

Differential-Equation Constrained Optimization With Stochasticity
by: Li, Qin, et al.
Published: (2023)

Numerical PDE solvers outperform neural PDE solvers
by: Chatain, Patrick, et al.
Published: (2025)

Energy Conserving Higher Order Mixed Finite Element Discretizations of Maxwell's Equations
by: Arya, Archana, et al.
Published: (2023)

Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions
by: Giesselmann, Jan, et al.
Published: (2025)