Abel's integral operator: sparse representation based on multiwavelets
From MaRDI portal
Publication:2026366
DOI10.1007/s10543-020-00832-1zbMath1466.45011OpenAlexW3125356203MaRDI QIDQ2026366
Publication date: 19 May 2021
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10543-020-00832-1
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Integral operators (45P05)
Related Items (2)
An efficient algorithm based on the pseudospectral method for solving Abel's integral equation using Hermite cubic spline scaling bases ⋮ On a multiwavelet spectral element method for integral equation of a generalized Cauchy problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A family of methods for Abel integral equations of the second kind
- Sparse representation of system of Fredholm integro-differential equations by using alpert multiwavelets
- Product integration methods for second-kind Abel integral equations
- Fast numerical solution of weakly singular Volterra integral equations
- Propagation of simple non-linear waves in gas filled tubes with friction
- Abel integral equations. Analysis and applications
- Introduction to fractional differential equations
- An efficient algorithm for solving Volterra integro-differential equations based on Alpert's multi-wavelets Galerkin method
- Adaptive solution of partial differential equations in multiwavelet bases
- Numerical approach based on fractional-order Lagrange polynomials for solving a class of fractional differential equations
- Solution of nonlinear Volterra integral equations with weakly singular kernel by using the HOBW method
- Adaptive multiresolution discontinuous Galerkin schemes for conservation laws
- Fractional Linear Multistep Methods for Abel-Volterra Integral Equations of the First Kind
- Abel's Integral Equation as a Convolution Transform
- Nonpolynomial Spline Collocation for Volterra Equations with Weakly Singular Kernels
- Runge-Kutta Theory for Volterra and Abel Integral Equations of the Second Kind
- Numerical Methods in Scientific Computing, Volume I
- The Analysis of Product Integration Methods for Abel's Equation using Discrete Fractional Differentiation
- The Numerical Solution of Weakly Singular Volterra Integral Equations by Collocation on Graded Meshes
- A Stability Analysis of Convolution Quadraturea for Abel-Volterra Integral Equations
- A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators
- An Existence Theorem for Abel Integral Equations
- Stability of collocation for weakly singular Volterra equations
- The Convergence of Collocation Solutions in Continuous Piecewise Polynomial Spaces for Weakly Singular Volterra Integral Equations
- Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations
- Heat transfer between solids and gases under nonlinear boundary conditions
This page was built for publication: Abel's integral operator: sparse representation based on multiwavelets