Asymptotics Asymptotic methods represent a third mode of computing that complements exact symbolic and approximate numeric modes of computing for calculus and algebra. Asymptotic methods are what disciplines turn to when they run into hard problems and are used in a wide variety of areas, including number theory, analysis of algorithms, statistics, theoretical physics and numerical methods. Asymptotic computing allows hard problems to be solved and furthermore is typically more insightful even when other modes of computing succeed. With Version 12, asymptotic computing is fully automated and as easy to use as other high-level solvers. General support for asymptotic order relations. » Test whether , or . » Test whether or . » Test whether . » Find asymptotic solutions of ordinary differential equations. » Compute asymptotic approximations for integrals. » Find asymptotic solutions of ordinary difference equations. » Compute asymptotic approximations for sums. » Find asymptotic solutions of algebraic equations. » Related Examples Compare Algorithms Using Asymptotic Relations » Find the Computational Complexity » Compare Functions in Higher Dimensions » Verify Asymptotic Approximations » Compute a Series Solution (AsymptoticDSolveValue) » Find a Frobenius Approximation (AsymptoticDSolveValue) » Generate an Asymptotic Expansion (AsymptoticDSolveValue) » Solve Boundary Layer ODEs (AsymptoticDSolveValue) » Approximate an Exponential Integral (AsymptoticIntegrate) » Estimate the Integral of an Oscillatory Function (AsymptoticIntegrate) » Explore a Divergent Asymptotic Expansion (AsymptoticIntegrate) » Compute an Exact Integral (AsymptoticIntegrate) »
