Linux kernel updater, tested on ubuntu/mint.

update-kernel.sh

#!/bin/bash
# Inspired on:
# http://www.yourownlinux.com/2014/10/how-to-install-linux-kernel-3-17-stable-in-linux.html
# http://www.yourownlinux.com/2015/06/how-to-install-linux-kernel-4-1-0-in-linux.html

set -euo pipefail
IFS=$'\n\t'

# NOTE: you need to set this variable to the desired kernel you want
VERSION="v4.1-unstable"

echo -e "This script will: download, verify and install (asking first) the '$VERSION' kernel version.\n"

BASE="http://kernel.ubuntu.com/~kernel-ppa/mainline"

# get the list of files found on that folder
echo "Downloading file list..."
files=`wget -qO - $BASE/$VERSION/ | grep -oP '>\K(linux-image.*\.deb|linux-header.*\.deb)'`

if [[ `getconf LONG_BIT` == "64" ]]; then
    ARCH='amd64'
else
    ARCH='i386'
fi

# Strip out the file names that we need
# we use this regex since each kernel release has different numbers that
# doesn't matter for our purposes
headers_all=`echo $files | grep -o "linux-headers-[0-9\._-]*_all\.deb"`
headers_arch=`echo $files | grep -o "linux-headers-[0-9\._-]*-generic[0-9\._-]*_$ARCH\.deb"`
image_arch=`echo $files | grep -o "linux-image-[0-9\._-]*-generic[0-9\._-]*$ARCH\.deb"`

echo "Downloading packages and checksums..."
wget -qc $BASE/$VERSION/$headers_all $BASE/$VERSION/$headers_arch $BASE/$VERSION/$image_arch $BASE/$VERSION/CHECKSUMS

echo "Verifying checksums..."
shasum -c CHECKSUMS 2>&1 | grep -E "OK$|FAILED$"  # this grep ignores non-existing files

echo
read -p 'Proceed with installation? (<ENTER> to continue, <CTRL+C> to abort) '
sudo dpkg -i *.deb