DOI10.1016/S0377-0427(99)00055-2zbMath0934.65079OpenAlexW2094948835MaRDI QIDQ1301794
L. Gr. Ixaru, Beatrice Paternoster
Publication date: 27 January 2000
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00055-2
A new finite difference method with optimal phase and stability properties for problems in chemistry ⋮
Efficient FinDiff algorithm with optimal phase properties for problems in quantum chemistry ⋮
New FD methods with phase-lag and its derivatives equal to zero for periodic initial value problems ⋮
A new method with vanished phase-lag and its derivatives of the highest order for problems in quantum chemistry ⋮
A new FinDiff numerical scheme with phase-lag and its derivatives equal to zero for periodic initial value problems ⋮
New FD scheme with vanished phase-lag and its derivatives up to order six for problems in chemistry ⋮
A new algorithm with eliminated phase-lag and its derivatives up to order five for problems in quantum chemistry ⋮
Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday ⋮
A multistep method with optimal phase and stability properties for problems in quantum chemistry ⋮
A multistep conditionally P-stable method with phase properties of high order for problems in quantum chemistry ⋮
A phase-fitting and first derivative phase-fitting singularly P-stable economical two-step method for problems in quantum chemistry ⋮
A phase-fitting, first and second derivatives phase-fitting singularly P-stable economical two-step method for problems in chemistry ⋮
A phase-fitting, first, second and third derivatives phase-fitting singularly P-stable economical two-step method for problems in quantum chemistry ⋮
On the numerical stability of the exponentially fitted methods for first order IVPs ⋮
A phase fitted FiniteDiffr process for DiffrntEqutns in chemistry ⋮
A complete in phase FiniteDiffrnc algorithm for DiffrntEqutins in chemistry ⋮
Full in phase finite difference algorithm for differential equations in quantum chemistry ⋮
Solution of quantum chemical problems using an extremely successful and reasonably cost two-step, fourteenth-order phase-fitting approach ⋮
Solution of quantum chemical problems by a very effective and relatively inexpensive two-step, fourteenth-order, phase-fitting procedure ⋮
Phase-fitting, singularly P-stable, cost-effective two-step approach to solving problems in quantum chemistry with vanishing phase-lag derivatives up to order 6 ⋮
Two-step, fourteenth-order, phase-fitting procedure with high efficiency and minimal cost for chemical problems ⋮
Highly efficient, singularly P-stable, and low-cost phase-fitting two-step method of 14th order for problems in chemistry ⋮
An exceedingly effective and inexpensive two-step, fourteenth-order phase-fitting method for solving quantum chemical issues ⋮
Phase fitted algorithm for problems in quantum chemistry ⋮
A finite difference method with zero phase-lag and its derivatives for quantum chemistry problems ⋮
Complete in phase method for problems in chemistry ⋮
A finite difference method with phase-lag and its derivatives equal to zero for problems in chemistry ⋮
PGSCM: A family of \(P\)-stable boundary value methods for second-order initial value problems ⋮
Solution to quantum chemistry problems using a phase-fitting, singularly P-stable, cost-effective two-step approach with disappearing phase-lag derivatives up to order 5 ⋮
Explicit Numerov type methods with reduced number of stages. ⋮
Adapted numerical modelling of the Belousov-Zhabotinsky reaction ⋮
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Two-step method with vanished phase-lag and its derivatives for problems in quantum chemistry: an economical case ⋮
An economical two-step method with optimal phase and stability properties for problems in chemistry ⋮
Piecewise-linearized methods for initial-value problems with oscillating solutions ⋮
Stability regions of one step mixed collocation methods for \(y=f(x,y)\) ⋮ Optimal implicit exponentially-fitted Runge-Kutta methods ⋮ An accomplished phase FD process for DEs in chemistry ⋮ A new economical method with eliminated phase-lag and its derivative for problems in chemistry ⋮ A new method with improved phase-lag and stability properties for problems in quantum chemistry - an economical case ⋮ An economical two-step method with improved phase and stability properties for problems in chemistry ⋮ A new improved economical finite difference method for problems in quantum chemistry ⋮ An integrated in phase FD procedure for DiffEqns in chemical problems ⋮ A phase fitted FinDiff process for DifEquns in quantum chemistry ⋮ A complete in phase FinitDiff procedure for DiffEquns in chemistry ⋮ A phase-fitting singularly P-stable economical two-step method for problems in quantum chemistry ⋮ A singularly P-stable two-step method with improved characteristics for problems in chemistry ⋮ Phase fitted method for quantum chemistry problems ⋮ A phase-fitting singularly P-stable cost-effective two-step method for solving chemistry problems ⋮ A perfect in phase FD algorithm for problems in quantum chemistry ⋮ A multiple stage absolute in phase scheme for chemistry problems ⋮ A phase-fitted collocation-based Runge-Kutta-Nyström method ⋮ On the generation of \(P\)-stable exponentially fitted Runge-Kutta-Nyström methods by exponentially fitted Runge-Kutta methods. ⋮ A two-step method singularly P-Stable with improved properties for problems in quantum chemistry ⋮ A two-step singularly P-Stable method with high phase and large stability properties for problems in chemistry ⋮ New methods for oscillatory problems based on classical codes