# Numerical solution of the Cauchy problem for Volterra integrodifferential equations with difference kernels

@article{Vabishchevich2021NumericalSO, title={Numerical solution of the Cauchy problem for Volterra integrodifferential equations with difference kernels}, author={Petr N. Vabishchevich}, journal={ArXiv}, year={2021}, volume={abs/2110.15125} }

## 6 Citations

### Approximate solution of the Cauchy problem for a first-order integrodifferential equation with solution derivative memory

- MathematicsJ. Comput. Appl. Math.
- 2023

### Numerical Solution of the Cauchy Problem for a Second-Order Integro-Differential Equation

- MathematicsDifferential Equations
- 2022

In a finite-dimensional Hilbert space, we consider the Cauchy problem for a second-order integro-differential evolution equation with memory where the integrand is the product of a difference kernel…

### Nonlinear approximation of functions based on non-negative least squares solver

- Mathematics
- 2023

The proposed approach’s key feature consists in determining the ﬁrst parameter on each separate iteration of the classical non-negative least squares method for a wide enough class of nonlinear approximations characterized by a set of two required parameters.

### Reconstructing the Potential of the Generalized Heat Equation

- Materials ScienceJournal of Nonlinear Mathematical Physics
- 2022

We reconstruct the potential q(x) for the generalized heat equation of the form ut-b(x)uxx-a(x)ux-q(x)u=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}…

### Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations

- MathematicsJ. Comput. Phys.
- 2023

In this paper, we consider a class of convection-diﬀusion equations with memory eﬀects. These equations arise as a result of homogenization or upscaling of linear transport equations in heterogeneous…

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