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 ...

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 ...

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 ...