DOI10.1016/0377-0427(87)90113-0zbMath0614.65084OpenAlexW2027413093MaRDI QIDQ1819900
Yanyan Li
Publication date: 1987
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0377-0427(87)90113-0
Optimized pairs of multidimensional ERKN methods with FSAL property for multi-frequency oscillatory systems ⋮
A new fourteenth algebraic order finite difference method for the approximate solution of the Schrödinger equation ⋮
An economical eighth-order method for the approximation of the solution of the Schrödinger equation ⋮
A Runge-Kutta Fehlberg method with phase-lag of order infinity for initial-value problems with oscillating solution ⋮
Accurate numerical approximations to initial value problems with periodical solutions ⋮
A new variable-step method for the numerical integration of special second-order initial value problems and their application to the one- dimensional Schrödinger equation ⋮
An explicit Numerov-type method for second-order differential equations with oscillating solutions ⋮
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 ⋮
New five-stages finite difference pair with optimized phase properties ⋮
A new six-step algorithm with improved properties for the numerical solution of second order initial and/or boundary value problems ⋮
A new three-stages six-step finite difference pair with optimal phase properties for second order initial and/or boundary value problems with periodical and/or oscillating solutions ⋮
A five-stages symmetric method with improved phase properties ⋮
A two-step method with phase-lag of order infinity for the numerical integration of second order periodic initial-value problem ⋮
\(P\)-stable Obrechkoff methods of arbitrary order for second-order differential equations ⋮
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 ⋮
Three stages symmetric six-step method with eliminated phase-lag and its derivatives for the solution of the Schrödinger equation ⋮
An efficient six-step method for the solution of the Schrödinger equation ⋮
An efficient and computational effective method for second order problems ⋮
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 ⋮
New multiple stages two-step complete in phase algorithm with improved characteristics for second order initial/boundary value problems ⋮
New multiple stages multistep method with best possible phase properties for second order initial/boundary value problems ⋮
New four stages multistep in phase algorithm with best possible properties for second order problems ⋮
New multistage two-step complete in phase scheme with improved properties for quantum chemistry problems ⋮
A new multistage multistep full in phase algorithm with optimized characteristics for problems in chemistry ⋮
A new four-stages two-step phase fitted scheme for problems 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 ⋮
Two-step almost p-stable complete in phase methods for the numerical integration of second order periodic initial-value problems ⋮
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 ⋮
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 ⋮
Quadratic Störmer-type methods for the solution of the Boussinesq equation by the method of lines ⋮
A new four-step hybrid type method with vanished phase-lag and its first derivatives for each level for the approximate integration of the Schrödinger equation ⋮
EXPLICIT EIGHTH ORDER NUMEROV-TYPE METHODS WITH REDUCED NUMBER OF STAGES FOR OSCILLATORY IVPs ⋮
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 ⋮
P-stable exponentially-fitted Obrechkoff methods of arbitrary order for second-order differential equations ⋮
Phase-fitted and amplification-fitted two-step hybrid methods for \(y^{\prime\prime }=f(x,y)\) ⋮
Dissipative high phase-lag order methods ⋮
An improved trigonometrically fitted P-stable Obrechkoff method for periodic initial-value problems ⋮
A generator of hybrid explicit methods for the numerical solution of the Schrödinger equation and related problems ⋮
A new explicit four-step method with vanished phase-lag and its first and second derivatives ⋮
Hybrid Numerov-type methods with coefficients trained to perform better on classical orbits ⋮
An accomplished phase FD process for DEs in chemistry ⋮
Modified Runge-Kutta Verner methods for the numerical solution of initial and boundary-value problems with engineering applications ⋮
A new four-step Runge-Kutta type method with vanished phase-lag and its first, second and third derivatives for the numerical solution of the Schrödinger equation ⋮
Scheifele two-step methods for perturbed oscillators ⋮
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 ⋮
NUMEROV-TYPE METHODS FOR OSCILLATORY LINEAR INITIAL VALUE PROBLEMS ⋮
A PHASE-FITTED AND AMPLIFICATION-FITTED EXPLICIT TWO-STEP HYBRID METHOD FOR SECOND-ORDER PERIODIC INITIAL VALUE PROBLEMS ⋮
EXPLICIT EIGHTH ORDER TWO-STEP METHODS WITH NINE STAGES FOR INTEGRATING OSCILLATORY PROBLEMS ⋮
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 ⋮
A multistage two-step fraught in phase scheme for problems in mathematical chemistry ⋮
A Runge-Kutta type crowded in phase algorithm for quantum chemistry problems ⋮
A phase-fitting singularly P-stable cost-effective two-step method for solving chemistry problems ⋮
High Algebraic Order Methods with Minimal Phase-Lag for Accurate Solution of the Schrödinger Equation ⋮
A perfect in phase FD algorithm for problems in quantum chemistry ⋮
A multiple stage absolute in phase scheme for chemistry problems ⋮
A class of explicit two-step hybrid methods for second-order IVPs ⋮
A new high algebraic order efficient finite difference method for the solution of the Schrödinger equation ⋮
High Algebraic Order Methods for the Numerical Solution of the Schrödinger Equation ⋮
A Runge-Kutta type implicit high algebraic order two-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of coupled differential equations arising from the Schrödinger equation ⋮
A predictor-corrector explicit four-step method with vanished phase-lag and its first, second and third derivatives for the numerical integration of the Schrödinger equation ⋮
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 ⋮
Explicit eighth order methods for the numerical integration of initial-value problems with periodic or oscillating solutions ⋮
Two-derivative Runge-Kutta methods with increased phase-lag and dissipation order for the Schrödinger equation ⋮
New three-stages symmetric six-step finite difference method with vanished phase-lag and its derivatives up to sixth derivative for second order initial and/or boundary value problems with periodical and/or oscillating solutions ⋮
New hybrid two-step method with optimized phase and stability characteristics ⋮
New Runge-Kutta type symmetric two-step method with optimized characteristics ⋮
Explicit two-step methods for second-order linear IVPs ⋮
An implicit symmetric linear six-step methods with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the radial Schrödinger equation and related problems ⋮
A new two stage symmetric two-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the radial Schrödinger equation ⋮
Family of symmetric linear six-step methods with vanished phase-lag and its derivatives and their application to the radial Schrödinger equation and related problems ⋮
Some new variable-step methods with minimal phase lag for the numerical integration of special second-order initial-value problem ⋮
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 ⋮
A Runge-Kutta-Nyström method for the numerical integration of special second-order periodic initial-value problems
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