C06 交流電界中の誘電泳動力を考慮した小惑星における静電粒子採取機構のシミュレーション(複合材料・土壌採取)

Laplace transforms are an essential part of the mathematical background required by engineers, mathematicians, and physicists. They have many applications in physics and engineering (electrical networks, springs, mixing problems; see Sec. 6.4). They make solving linear ODEs, IVPs (both in Sec. 6.2), systems of ODEs (Sec. 6.7), and integral equations (Sec. 6.5) easier and thus form a fitting end to Part A on ODEs. In addition, they are superior to the classical approach of Chap. 2 because they allow us to solve new problems that involve discontinuities, short impulses, or complicated periodic functions. Phenomena of “short impulses” appear in mechanical systems hit by a hammerblow, airplanes making a “hard” landing, tennis balls hit by a racket, and others (Sec. 6.4).