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This property calls for numerical methods with shock capturing capabilities.
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This fact makes the examples especially challenging for numerical methods.
The basic design principles of current leads for superconducting magnets are well established but HTS materials and conduction cooled systems call for new numerical methods.
Roughly speaking, there are two major types of numerical methods, called explicit numerical methods and implicit numerical methods in the existing literature.
For this, numerical methods are required to compute the absorption efficiency Q abs for different shapes.
In addition, the obtained solutions are important for validation of numerical methods for solving the RTE, e.g. Monte Carlo simulations.
Techniques for empirical modeling are alternatively called curve fitting in engineering and numerical methods, regression analysis in statistics, or time series forecasting in economics.
The use of weak gradients and their approximations results in a new concept called discrete weak gradients which is expected to play an important role in numerical methods for partial differential equations.
To overcome the limitations of traditional numerical methods for modeling large deformation, a mesh-free particle method called smoothed particle hydrodynamics (SPH) is introduced in this paper.
Consequently, numerical methods for partial differential equations are typically employed to solve for the transition density φ x, t).
See Appendix B for details concerning the numerical methods.
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