Comparing algebraic and numerical solutions of classical diffusion process equations in computational financial mathematics (Q5953848)
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scientific article; zbMATH DE number 1697498
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Comparing algebraic and numerical solutions of classical diffusion process equations in computational financial mathematics |
scientific article; zbMATH DE number 1697498 |
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Comparing algebraic and numerical solutions of classical diffusion process equations in computational financial mathematics (English)
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29 January 2002
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Summary: We revise the interrelations between the classical Black-Scholes equation, the diffusion equation and Burgers equation. Some of the algebraic properties the diffusion equation shows are elaborated and qualitatively presented. The related numerical elementary recipes are briefly elucidated in context of the diffusion equation. The quality of the approximations to the exact solutions is compared throughout the visualizations. The article mainly is based on the pedagogical style of the presentations to the Novacella Easter School 2000 on Financial Mathematics.
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diffusion processes
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Black-Scholes equation
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diffusion equation
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Burgers equation
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