Update main README.md with link to arXiv paper

README.md

@@ -8,10 +8,11 @@ asQ is designed to allow fast prototyping of new ParaDiag methods, while still b
 This is achieved using the Firedrake and PETSc libraries.
 The finite element models are defined by specifying the weak form using [Firedrake, "*an automated system for the portable solution of partial differential equations using the finite element method*](https://www.firedrakeproject.org/)", and the linear and nonlinear solvers required are provided by [PETSc, "*the Portable, Extensible Toolkit for Scientific Computation*"](https://petsc.org/release/).
 
+See the arXiv paper https://arxiv.org/abs/2409.18792 for a description and demonstration of asQ. The code used for this paper can be found in the [asq_manuscript_examples](https://github.com/firedrakeproject/asQ/tree/master/asq_manuscript_examples) directory.
 
 ## ParaDiag
 
-ParaDiag is a parallel-in-time method, meaning that is solves for multiple timesteps of a timeseries simultaneously, rather than one at a time like traditional serial-in-time methods.
+ParaDiag is a parallel-in-time method, meaning that it solves for multiple timesteps of a timeseries simultaneously, rather than one at a time like traditional serial-in-time methods.
 This [review article](https://arxiv.org/abs/2005.09158) provides a good introduction to the method.
 asQ implements the ParaDiag-II family of methods based on creating a block-circulant approximation to the all-at-once system which can be block-diagonalised with the FFT and solved efficiently in parallel.
 
@@ -22,7 +23,7 @@ To install asQ, pass the arguments `--install asQ` to the `firedrake-install` sc
 
 ## Getting started
 
-The best place to start is the examples from the asQ release paper on arXiv in [this directory](https://github.com/firedrakeproject/asQ/tree/master/asq_manuscript_examples).
+The best place to start is the arXiv paper and associated examples in [this directory](https://github.com/firedrakeproject/asQ/tree/master/asq_manuscript_examples).
 
 Other examples can be found in the [examples directory](https://github.com/firedrakeproject/asQ/tree/master/examples) and more advanced scripts can be found in the [case studies directory](https://github.com/firedrakeproject/asQ/tree/master/case_studies), including scripts for the shallow water equations and a model for stratigraphic evolution of the sea floor.