A sparse spectral method for Volterra integral equations using orthogonal polynomials on the triangle
Fuente:
arXiv
Saved in:
| Main Authors: | Gutleb, Timon S., Olver, Sheehan |
|---|---|
| Format: | Preprint |
| Published: |
2019
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Building hierarchies of semiclassical Jacobi polynomials for spectral methods in annuli
by: Papadopoulos, Ioannis P. A., et al.
Published: (2023)
by: Papadopoulos, Ioannis P. A., et al.
Published: (2023)
A sparse $hp$-finite element method for piecewise-smooth differential equations with periodic boundary conditions
by: VandenHeuvel, Daniel, et al.
Published: (2025)
by: VandenHeuvel, Daniel, et al.
Published: (2025)
Polynomial and rational measure modifications of orthogonal polynomials via infinite-dimensional banded matrix factorizations
by: Gutleb, Timon S., et al.
Published: (2023)
by: Gutleb, Timon S., et al.
Published: (2023)
On norms and traces of the derivatives of the $L^2$-projection error
by: Linß, Torsten, et al.
Published: (2026)
by: Linß, Torsten, et al.
Published: (2026)
Numerical solution of locally loaded Volterra integral equations
by: Byankin, Vladislav, et al.
Published: (2025)
by: Byankin, Vladislav, et al.
Published: (2025)
Newtonian potentials of Legendre polynomials on rectangles have displacement structure
by: Olver, Sheehan
Published: (2025)
by: Olver, Sheehan
Published: (2025)
Superconvergence points of Hermite spectral interpolation
by: Wang, Haiyong, et al.
Published: (2025)
by: Wang, Haiyong, et al.
Published: (2025)
A Reynolds-semi-robust and pressure robust Hybrid High-Order method for the time dependent incompressible Navier--Stokes equations on general meshes
by: Quiroz, Daniel Castanon, et al.
Published: (2024)
by: Quiroz, Daniel Castanon, et al.
Published: (2024)
Adaptive boundary element methods for regularized combined field integral equations
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)
A divergence-free projection method for quasiperiodic photonic crystals in three dimensions
by: Gao, Zixuan, et al.
Published: (2024)
by: Gao, Zixuan, et al.
Published: (2024)
Underdetermined Fourier Extensions for Surface Partial Differential Equations
by: Venn, Daniel R., et al.
Published: (2024)
by: Venn, Daniel R., et al.
Published: (2024)
A novel mixed spectral method with ball polynomials for the Biharmonic equation on a unit ball
by: Gao, Mengxue, et al.
Published: (2026)
by: Gao, Mengxue, et al.
Published: (2026)
Refined stability estimates for mixed problems by exploiting semi norm arguments
by: Gauger, Nicolas, et al.
Published: (2025)
by: Gauger, Nicolas, et al.
Published: (2025)
A quasi-Monte Carlo multiscale method for the wave propagation in random media
by: Li, Panchi, et al.
Published: (2025)
by: Li, Panchi, et al.
Published: (2025)
A new interpolated pseudodifferential preconditioner for the Helmholtz equation in heterogeneous media
by: Acosta, Sebastian, et al.
Published: (2024)
by: Acosta, Sebastian, et al.
Published: (2024)
Scaling Optimized Hermite Approximation Methods
by: Hu, Hao, et al.
Published: (2024)
by: Hu, Hao, et al.
Published: (2024)
Finite element solution of a radiation/propagation problem for a Helmholtz equation with a compactly supported nonlinearity
by: Angermann, Lutz
Published: (2023)
by: Angermann, Lutz
Published: (2023)
Embedded Trefftz DG method for the Helmholtz equation
by: Stocker, Paul, et al.
Published: (2026)
by: Stocker, Paul, et al.
Published: (2026)
A B-spline-Heaviside collocation method for solving Fredholm integral equations with piecewise Holder-continuous right-hand sides
by: Capcelea, Maria, et al.
Published: (2025)
by: Capcelea, Maria, et al.
Published: (2025)
Exponentially accurate spectral Monte Carlo method for linear PDEs and their error estimates
by: Feng, Jiaying, et al.
Published: (2025)
by: Feng, Jiaying, et al.
Published: (2025)
Towards provable energy-stable overset grid methods using sub-cell summation-by-parts operators
by: Glaubitz, Jan, et al.
Published: (2025)
by: Glaubitz, Jan, et al.
Published: (2025)
Fourier-Galerkin method for scattering poles of sound soft obstacles
by: Ma, Yunyun, et al.
Published: (2025)
by: Ma, Yunyun, et al.
Published: (2025)
A mixed interpolation-regression method for numerical integration on the unit circle using zeros of para-orthogonal polynomials
by: Cruz-Barroso, Ruymán, et al.
Published: (2026)
by: Cruz-Barroso, Ruymán, et al.
Published: (2026)
A low-order hybrid method for the variable-density incompressible Navier-Stokes equations
by: Dauphin, Mathias, et al.
Published: (2026)
by: Dauphin, Mathias, et al.
Published: (2026)
Scaling Optimized Spectral Approximations on Unbounded Domains: The Generalized Hermite and Laguerre Methods
by: Hu, Hao, et al.
Published: (2026)
by: Hu, Hao, et al.
Published: (2026)
Parallelisation of partial differential equations via representation theory
by: Olver, Sheehan
Published: (2024)
by: Olver, Sheehan
Published: (2024)
High-order numerical method for solving elliptic partial differential equations on unfitted node sets
by: Nielsen, Morten E., et al.
Published: (2024)
by: Nielsen, Morten E., et al.
Published: (2024)
A model reduction method for solving the eigenvalue problem of semiclassical random Schrödinger operators
by: Li, Panchi, et al.
Published: (2025)
by: Li, Panchi, et al.
Published: (2025)
On deconvolution methods
by: Ramm, Alexander G., et al.
Published: (2003)
by: Ramm, Alexander G., et al.
Published: (2003)
Applying stiff integrators for ODEs and DDEs to problems with distributed delays
by: Guglielmi, Nicola, et al.
Published: (2024)
by: Guglielmi, Nicola, et al.
Published: (2024)
Quasi-interpolators with application to postprocessing in finite element methods
by: Führer, Thomas, et al.
Published: (2024)
by: Führer, Thomas, et al.
Published: (2024)
Isogeometric analysis of the Laplace eigenvalue problem on circular sectors: Regularity properties, graded meshes & variational crimes
by: Apel, Thomas, et al.
Published: (2024)
by: Apel, Thomas, et al.
Published: (2024)
Near-field-free super-potential FFT method for the three-dimensional free-space Poisson equation
by: Exl, Lukas, et al.
Published: (2025)
by: Exl, Lukas, et al.
Published: (2025)
Error estimation for finite element method on meshes that contain thin elements
by: Kobayashi, Kenta, et al.
Published: (2024)
by: Kobayashi, Kenta, et al.
Published: (2024)
The inverse electromagnetic scattering problem by a penetrable cylinder at oblique incidence
by: Gintides, Drossos, et al.
Published: (2017)
by: Gintides, Drossos, et al.
Published: (2017)
A note on improvement by iteration for the approximate solutions of second kind Fredholm integral equations with Green's kernels
by: Rakshit, Gobinda, et al.
Published: (2024)
by: Rakshit, Gobinda, et al.
Published: (2024)
Mesh-Intrinsic GFEM: High-Order Smoothness on $C^0$ Unstructured Meshes
by: Tian, Rong
Published: (2026)
by: Tian, Rong
Published: (2026)
Well-conditioned dipole-type method of fundamental solutions: derivation and its mathematical analysis
by: Sakakibara, Koya
Published: (2024)
by: Sakakibara, Koya
Published: (2024)
Spherical configurations and quadrature methods for integral equations of the second kind
by: An, Congpei, et al.
Published: (2024)
by: An, Congpei, et al.
Published: (2024)
Robust finite element methods and solvers for the Biot--Brinkman equations in vorticity form
by: Caraballo, Ruben, et al.
Published: (2023)
by: Caraballo, Ruben, et al.
Published: (2023)
Similar Items
-
Building hierarchies of semiclassical Jacobi polynomials for spectral methods in annuli
by: Papadopoulos, Ioannis P. A., et al.
Published: (2023) -
A sparse $hp$-finite element method for piecewise-smooth differential equations with periodic boundary conditions
by: VandenHeuvel, Daniel, et al.
Published: (2025) -
Polynomial and rational measure modifications of orthogonal polynomials via infinite-dimensional banded matrix factorizations
by: Gutleb, Timon S., et al.
Published: (2023) -
On norms and traces of the derivatives of the $L^2$-projection error
by: Linß, Torsten, et al.
Published: (2026) -
Numerical solution of locally loaded Volterra integral equations
by: Byankin, Vladislav, et al.
Published: (2025)