# A scattering-based algorithm for wave propagation in one dimension

## TL;DR

This paper introduces a new explicit numerical scheme for solving the one-dimensional variable coefficient wave equation, offering minimal restrictions on coefficients and initial data for wave propagation simulations.

## Contribution

The paper proposes a novel scattering-based explicit algorithm that improves flexibility and applicability in 1D wave propagation modeling.

## Key findings

- Efficient numerical solution for variable coefficient wave equations
- Minimal restrictions on initial data and coefficients
- Potential for improved accuracy in wave simulations

## Abstract

We present an explicit numerical scheme to solve the variable coefficient wave equation in one space dimension with minimal restrictions on the coefficient and initial data.