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                <text> Supervisors: Dr. Santhosh Kalash Rajendrakumar and Professor Sebastien Perrier (Perrier Group)   </text>
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              <text>Coal is the deadliest and dirtiest major energy source on the planet. Buying “non-use” rights for coal mines - the right to not exploit, but rather shutter, coal mines upon purchase, could reduce coal production. If there is a global market for non-use rights, marginally profitable mines can be bought, reducing the potential for supply leakage. I perform an indicative cost-benefit analysis on non-use of coal mines in two countries where the supply of two different types of coal is currently marginally profitable: Indonesia and Australia. I find the benefit-cost ratio of buying the median Indonesian coal mine for a year of non-use is 21.00 (low and high estimates: 11.02 and 31.65), and equivalent ratio for the median Australian coal mine is 12.90 (low and high estimates: 6.76 and 19.43). Thus, I find that the purchase of one-year non-use rights for marginally profitable coal mines is both theoretically sound and practically justifiable.</text>
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              <text>Since the outbreak of COVID-19, the world economy has entered a long period of recession, followed by a recent slow recovery. The UK economy experienced a sharp GDP growth rate contraction of 11 per cent in 2020, followed by consecutive positive growth in 2021 and&#13;
2022. However, On aggregate levels, the UK GDP has yet to return to the pre-pandemic level in 2019, suggesting that Covid's impact persists three years into the present. There is mounting evidence showing the negative impact of the pandemic is not shared equally&#13;
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I tried to create a large variety of operators with this property: some were successful; others weren't. These are inspired by finite differences in that the numerical result's values at the half-integers match what a finite difference would give.</text>
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