Efficient recurrence relations for univariate and multivariate Taylor series coefficients

zbMATH Open1307.65027MaRDI QIDQ489870

Richard D. Neidinger

Publication date: 21 January 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://aimsciences.org/journals/displayPaperPro.jsp?paperID=9241

zbMATH Keywords

recurrence relationautomatic differentiationTaylor seriesseriesLeibniz ruledifferential transform methodmultivariable series

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical differentiation (65D25)

Related Items (8)

Solving the stationary Navier-Stokes equations by using Taylor meshless method ⋮ New efficient programs to calculate general recoupling coefficients. II: Evaluation of a summation formula ⋮ Directions for computing truncated multivariate Taylor series ⋮ Taylor meshless method for solving non-linear partial differential equations ⋮ Comparing high-order multivariate AD methods ⋮ Solving PDEs with Hermite Interpolation ⋮ A Hermite method with a discontinuity sensor for Hamilton-Jacobi equations ⋮ Adaptive Hamiltonian Variational Integrators and Applications to Symplectic Accelerated Optimization

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