Numerous problems in numerical analysis, including matrix inversion, eigenvalue calculations and polynomial zerofinding, share the following property: The difficulty of solving a given problem is ...

We presented a realistic numerical analysis considering the generation of rock fractures, which can accurately replicate the trends in the EDZ observed from one of the representative and important ...

Our approach to backward error analysis is based on a simple recursive definition of the modified vector fields that does not require explicit Taylor series expansion of the numerical method and the ...