Want this question answered?
There is no application of differential equation in computer science
All the optimization problems in Computer Science have a predecessor analogue in continuous domain and they are generally expressed in the form of either functional differential equation or partial differential equation. A classic example is the Hamiltonian Jacobi Bellman equation which is the precursor of Bellman Ford algorithm in CS.
You need differential equations and partial differential equations to describe and predict the dynamic behaviour of systems. Newton and Laplace developed differential equations originally and simultaneously (using different notation) to work with gravity and the movement of the moon and planets.
All the optimization problems in Computer Science have a predecessor analogue in continuous domain and they are generally expressed in the form of either functional differential equation or partial differential equation. A classic example is the Hamiltonian Jacobi Bellman equation which is the precursor of Bellman Ford algorithm in CS.
C. William Gear has written: 'Introduction to computers, structured programming, and applications' 'Runge-Kutta starters for multistep methods' -- subject(s): Differential equations, Numerical solutions, Runga-Kutta formulas 'BASIC language manual' -- subject(s): BASIC (Computer program language) 'Applications and algorithms in science and engineering' -- subject(s): Data processing, Science, Engineering, Algorithms 'Future developments in stiff integration techniques' -- subject(s): Data processing, Differential equations, Nonlinear, Jacobians, Nonlinear Differential equations, Numerical integration, Numerical solutions 'ODEs, is there anything left to do?' -- subject(s): Differential equations, Numerical solutions, Data processing 'Computer applications and algorithms' -- subject(s): Computer algorithms, Computer programming, FORTRAN (Computer program language), Pascal (Computer program language), Algorithmes, PASCAL (Langage de programmation), Programmation (Informatique), Fortran (Langage de programmation) 'Method and initial stepsize selection in multistep ODE solvers' -- subject(s): Differential equations, Numerical solutions, Data processing 'Stability of variable-step methods for ordinary differential equations' -- subject(s): Differential equations, Numerical solutions, Convergence 'What do we need in programming languages for mathematical software?' -- subject(s): Programming languages (Electronic computers) 'Introduction to computer science' -- subject(s): Electronic digital computers, Electronic data processing 'PL/I and PL/C language manual' -- subject(s): PL/I (Computer program language), PL/C (Computer program language) 'Stability and convergence of variable order multistep methods' -- subject(s): Differential equations, Numerical solutions, Numerical analysis 'Unified modified divided difference implementation of Adams and BDF formulas' -- subject(s): Differential equations, Numerical solutions, Data processing 'Asymptotic estimation of errors and derivatives for the numerical solution of ordinary differential equations' -- subject(s): Differential equations, Numerical solutions, Error analysis (Mathematics), Estimation theory, Asymptotic expansions 'FORTRAN and WATFIV language manual' -- subject(s): FORTRAN IV (Computer program language) 'Computation and Cognition' 'Numerical integration of stiff ordinary differential equations' -- subject(s): Differential equations, Numerical solutions
H. Wayland has written: 'Differential equations applied in science and engineering'
Subjects such as mathematics (calculus, differential equations), physics (mechanics, thermodynamics), and engineering (aerodynamics, control systems) are crucial for aerospace engineering. Additionally, courses in materials science, computer programming, and fluid dynamics are also important for this field.
why is modeling a simulation important to the fields of computer science
Mathematics is extremely important to many fields including science. It is important to have an understanding of math to complete equations and understand the impact of temperatures.
Carl E. Pearson has written: 'Calculus & Ordinary Differential Equations' 'Numerical methods in engineering and science' -- subject(s): Engineering mathematics, Mathematics, Numerical analysis, Science
In solving multi variable equations such as in the analysis of MRI or CAT scan data. Several thousand equations in several thousand variables are utilized, impossible without a computer.
Contrary to the myth that women don't get into mathematics, there are a number of women who have become mathematicians. A few of them, past and present, are Grace Murray Hopper (who was also a computer scientist); Olive Hazlett (whose expertise was in algebra); Euphemia Lofton Haynes (the first black woman to get a PhD in Mathematics, in 1943); Sun-Yung Alice Chang (whose expertise is in differential equations and differential geometry); and Lenore Blum (who has expertise in both computer science and mathematics).