scientific article; zbMATH DE number 1024661

zbMath0874.65047MaRDI QIDQ4342498

Joris van der Hoeven

Publication date: 22 June 1997

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

algebraic differential equationssystems of functional equationstransseriesautomatic computationasymptotic algebrainfinitesimal calculusNewton polygon methodmultivariate seriesautomatic asymptoticsmultivariate transseriestransvarieties

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Numerical methods for initial value problems involving ordinary differential equations (65L05) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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A Borel transform method for locating singularities of Taylor and Fourier series ⋮ On the computation of limsups ⋮ Directed evaluation ⋮ Meta-expansion of transseries ⋮ EFFECTIVE ASYMPTOTICS ANALYSIS FOR FINANCE ⋮ Use of algebraically independent numbers for zero recognition of polynomial terms. ⋮ Counterexamples to witness conjectures ⋮ Complexity bounds for zero-test algorithms ⋮ Efficient accelero-summation of holonomic functions ⋮ Generalized power series solutions to linear partial differential equations ⋮ Weak arithmetic ⋮ On asymptotic extrapolation ⋮ Fast evaluation of holonomic functions ⋮ The natural growth scale ⋮ Counterexamples to the uniformity conjecture ⋮ Intertwined mappings ⋮ Computations with effective real numbers

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