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Many applications occurring with liquid gas interfaces and cavitating flows involve a very wide range of Mach number, from 10−3 to supersonic (and even hypersonic) conditions with respect to the mixture sound speed.
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Impulsive differential equations occur in many applications.
The resulting solver is extremely efficient when multiple incident angles are needed, as occurs in many applications.
Aeroacoustic instabilities occur in many applications of technological interest and have undesirable effects on the steady operation of the system.
Differential equations involving impulsive effects occur in many applications: physics, population dynamics, ecology, biological systems, biotechnology, industrial robotic, pharmacokinetics, optimal control, etc.
Periodic nonuniform sampling occurs in many applications, and the Nyquist folding receiver (NYFR) is an efficient, low complexity, and broadband spectrum sensing architecture.
Such a scenario (also the opposite scenario [1, 2, 15, 16, 17, 17, 18, 19]) may commonly occur in many applications and thus results in inconsistent code.
Fractional differential equations have been an active research area during the past few decades and they occur in many applications of physics and engineering.
Differential equations involving impulse effects occurs in many applications: physics, population dynamics, ecology, biological systems, biotechnology, industrial robotic, pharmacokinetics, optimal control, etc.
Kinetic equations containing terms for spatial transport, body forces, and particle particle collisions occur in many applications (e.g., rarefied gases, dilute granular gases, fluid-particle flows).
The problem of predicting features of turbulent flows occurs in many applications such as geophysical flows, turbulent mixing, pollution dispersal, and even in the design of artificial hearts.
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