Cover Image

A unified framework for the analysis, numerical approximation and model reduction of linear operator equations, Part I: Well-posedness in space and time

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Feuerle, Moritz, Löscher, Richard, Steinbach, Olaf, Urban, Karsten
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis 35R20, 35A15, 65N12
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Well-posedness and numerical analysis of an elapsed time model with strongly coupled neural networks
by: Sepulveda, Mauricio, et al.
Published: (2023)

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

Numerical approximations to statistical conservation laws for scalar hyperbolic equations
by: Huang, Qian, et al.
Published: (2025)

A space-time finite element method for the eddy current approximation of rotating electric machines
by: Gangl, Peter, et al.
Published: (2023)

Backward problem for a degenerate viscous Hamilton-Jacobi equation: stability and numerical identification
by: Chorfi, S. E., et al.
Published: (2026)

Structure-preserving scheme for fractional nonlinear diffusion equations
by: Hivert, Hélène, et al.
Published: (2024)

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

Efficient numerical methods for the uncertain Boltzmann equation based on a hybrid solver
by: Lin, Yiwen, et al.
Published: (2025)

A relaxation approach to the coupling of a two-phase fluid with a linear-elastic solid
by: Kolbe, Niklas, et al.
Published: (2024)

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

A matrix-based spectral method for the numerical approximation of the fractional Laplacian and the fractional $p$-Laplacian of functions defined on $\mathbb R^n$
by: Constantin, Loïc, et al.
Published: (2026)

A moving mesh finite element method for Bernoulli free boundary problems
by: Shen, Jinye, et al.
Published: (2024)

Well-posedness and numerical approximation of nonlinear conservation laws with hysteresis
by: Goatin, Paola, et al.
Published: (2026)

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

Rational approximation to the fractional Laplacian operator in reaction-diffusion problems
by: Aceto, Lidia, et al.
Published: (2016)

A numerical scheme for a fully nonlinear free boundary problem
by: Pimentel, Edgard A., et al.
Published: (2025)

Discontinuous finite element approximation of quasistatic crack growth in finite elasticity
by: Giacomini, Alessandro, et al.
Published: (2004)

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

Sharp decay estimates and numerical analysis for weakly coupled systems of two subdiffusion equations
by: Li, Zhiyuan, et al.
Published: (2025)

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 numerical method for scattering problems with unbounded interfaces
by: Goodwill, Tristan, et al.
Published: (2024)

A preconditioned boundary value method for advection-diffusion equations with half Laplacian via spectrum doubling
by: Yuan, Pu, et al.
Published: (2025)

Finite Volumes for a dissipative free boundary problem
by: Cancès, Clément, et al.
Published: (2025)

State-based nested iteration solution of optimal control problems with PDE constraints
by: Langer, Ulrich, et al.
Published: (2025)

Nonlinear parametrization solver for fractional Burgers equations
by: Qin, Haojun, et al.
Published: (2026)

Approximating and preconditioning the stiffness matrix in the GoFD approximation of the fractional Laplacian
by: Huang, Weizhang, et al.
Published: (2024)

Approximation for stochastic time-space fractional cable equations driven by rough noise
by: He, Jiawei, et al.
Published: (2026)

Stability of the Stokes projection on weighted spaces and applications
by: Duran, Ricardo G., et al.
Published: (2019)

Linearization-based direct reconstruction for EIT using triangular Zernike decompositions
by: Autio, Antti, et al.
Published: (2024)

Unique continuation for the wave equation based on a discontinuous Galerkin time discretization
by: Burman, Erik, et al.
Published: (2024)

Optimal error bounds on the exponential integrator for dispersive equations with highly concentrated potential
by: Bal, Guillaume, et al.
Published: (2026)

On a port-Hamiltonian formulation and structure-preserving numerical approximations for thermodynamic compressible fluid flow
by: Hauschild, Sarah-Alexa, et al.
Published: (2024)

A Simple Collocation-Type Approach to Numerical Stochastic Homogenization
by: Hauck, Moritz, et al.
Published: (2024)

A time dependent fractional order diffusion equation with constant diffusivity matrix
by: Catoe, T., et al.
Published: (2026)

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

Geometrically Graded h-p Quadrature Applied to the Complex Boundary Integral Equation Method for the Dirichlet Problem with Corner Singularities
by: De Wit, David
Published: (2000)

Reconstruction of heat relaxation index in phonon transport equation
by: Chen, Peiyi, et al.
Published: (2025)

A data-driven model reduction approach for backward fractional diffusion-wave equations
by: Cen, Dakang, et al.
Published: (2026)

A Semidiscrete Lagrangian-Eulerian scheme for the LWR traffic model with discontinuous flux
by: Abreu, Eduardo, et al.
Published: (2024)

Energy Stable and Structure-Preserving Algorithms for the Stochastic Galerkin System of 2D Shallow Water Equations
by: Epshteyn, Yekaterina, et al.
Published: (2024)