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Numerical results show that these proposed methods are faster than the other leading numerical methods, often by orders of magnitude.
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Many different works already addressed the JCH equilibrium phase diagram with analytical, as well as numerical methods, leading to a fairly complete theoretical understanding of the nature and the location of the emerging phases and phase transitions in terms of the parameters governing the system (the field has been recently reviewed in, e.g., Refs. [12 15]).
However, the complexity and uncertainty of geological conditions and geo-technical engineering problems represent a great challenge to the numerical method, leading some researchers to question how far numerical simulation can go.
The advantage of the new approach without need of numerical approximation of derivatives is obvious, potentially leading to a more robust numerical method.
Asymptotic and numerical methods.
Use of numerical methods.
Numerical Methods for Stiff Problems.
Ancient Greek mathematicians made many further advancements in numerical methods.
Advanced introduction to numerical linear algebra and related numerical methods.
Numerical Methods in Engineering and Applied Sciences.
Some familiarity with numerical methods is assumed.
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