Found 40 Documents (Results 1–40)
New multiple stages multistep method with best possible phase properties for second order initial/boundary value problems. (English) Zbl 1414.81083
New four-stages symmetric six-step method with improved phase properties for second order problems with periodical and/or oscillating solutions. (English) Zbl 1425.65072
MSC:
65L05
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. (English) Zbl 1402.81123
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. (English) Zbl 1447.81114
A new six-step algorithm with improved properties for the numerical solution of second order initial and/or boundary value problems. (English) Zbl 1447.81113
A new multistep finite difference pair for the Schrödinger equation and related problems. (English) Zbl 1462.65079
Reviewer: Pavel Burda (Praha)
A multistep method with optimal properties for second order differential equations. (English) Zbl 1384.65049
New two stages high order symmetric six-step method with vanished phase-lag and its first, second and third derivatives for the numerical solution of the Schrödinger equation. (English) Zbl 1384.65047
High order computationally economical six-step method with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation. (English) Zbl 1383.65078
Two stages six-step method with eliminated phase-lag and its first, second, third and fourth derivatives for the approximation of the Schrödinger equation. (English) Zbl 1383.65080
Three stages symmetric six-step method with eliminated phase-lag and its derivatives for the solution of the Schrödinger equation. (English) Zbl 1422.65111
A new two stages tenth algebraic order symmetric six-step method with vanished phase-lag and its first and second derivatives for the solution of the radial Schrödinger equation and related problems. (English) Zbl 1359.65105
A new eight algebraic order embedded explicit six-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the Schrödinger equation. (English) Zbl 1349.65209
A family of two stages tenth algebraic order symmetric six-step methods with vanished phase-lag and its first derivatives for the numerical solution of the radial Schrödinger equation and related problems. (English) Zbl 1367.65106
A family of embedded explicit six-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation: development and theoretical analysis. (English) Zbl 1345.65047
Entropy of chemical processes versus numerical representability of orderings. (English) Zbl 1349.80003
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. (English) Zbl 1349.65208
On the Hausdorff distance between the Heaviside step function and Verhulst logistic function. (English) Zbl 1349.41025
MSC:
41A30
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. (English) Zbl 1356.65163
MSC:
65L05
A high algebraic order multistage explicit four-step method with vanished phase-lag and its first, second, third, fourth and fifth derivatives for the numerical solution of the Schrödinger equation. (English) Zbl 1325.65100
Efficient low computational cost hybrid explicit four-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical integration of the Schrödinger equation. (English) Zbl 1325.65099
A high algebraic order predictor-corrector explicit method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the Schrödinger equation and related problems. (English) Zbl 1331.65093
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. (English) Zbl 1318.65042
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. (English) Zbl 1318.65039
A hybrid type four-step method with vanished phase-lag and its first, second and third derivatives for each level for the numerical integration of the Schrödinger equation. (English) Zbl 1307.65106
A Runge-Kutta type four-step method with vanished phase-lag and its first and second derivatives for each level for the numerical integration of the Schrödinger equation. (English) Zbl 1300.65050
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. (English) Zbl 1321.65114
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. (English) Zbl 1314.65099
New high order multiderivative explicit four-step methods with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation. I: construction and theoretical analysis. (English) Zbl 1270.81083
High order four-step hybrid method with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation. (English) Zbl 1270.81075
A new high order two-step method with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation. (English) Zbl 1310.65079
A new hybrid two-step method with vanished phase-lag and its first and second derivatives for the numerical solution of the Schrödinger equation and related problems. (English) Zbl 1257.81019
A two-step method with vanished phase-lag and its first two derivatives for the numerical solution of the Schrödinger equation. (English) Zbl 1304.65177
A family of ten-step methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation. (English) Zbl 1252.81133
A family of eight-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation. (English) Zbl 1217.65143
MSC:
65L06
Mulitstep methods with vanished phase-lag and its first and second derivatives for the numerical integration of the Schrödinger equation. (English) Zbl 1202.81028
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