New vector forms of elemental functions with Taylor series.

DOI10.1016/S0096-3003(02)00255-2zbMath1043.65082OpenAlexW1968961627MaRDI QIDQ1408319

Jian-Lin Xia, Xin-Yuan Wu

Publication date: 15 September 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00255-2

zbMATH Keywords

stiff systemsKrylov subspace methodsmatrix exponentialselementary functionsTaylor series expansionvector form

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (4)

A two-step explicit \(P\)-stable method of high phase-lag order for linear periodic IVPs ⋮ A nonlinear explicit two-step fourth algebraic order method of order infinity for linear periodic initial value problems ⋮ A class of two-step explicit methods for periodic IVPs ⋮ Optimization as a function of the phase-lag order of nonlinear explicit two-step \(P\)-stable method for linear periodic IVPs

Cites Work

• Unconditionally stable explicit methods for parabolic equations
• Rational Runge-Kutta methods for solving systems of ordinary differential equations
• The vector form of a sixth-order \(A\)-stable explicit one-step method for stiff problems
• Two low accuracy methods for stiff systems
• Acceleration Techniques for Iterated Vector and Matrix Problems
• Exponential Integrators for Large Systems of Differential Equations

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