EXPLICIT RUNGE-KUTTA (-NYSTROM) METHODS WITH REDUCED PHASE ERRORS FOR COMPUTING OSCILLATING SOLUTIONS

被引：318

作者：

VANDERHOUWEN, PJ

SOMMEIJER, BP

机构：

[1] Cent for Mathematics & Computer, Science, Amsterdam, Neth, Cent for Mathematics & Computer Science, Amsterdam, Neth

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1987年 / 24卷 / 03期

关键词：

All Open Access; Green;

D O I：

10.1137/0724041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

MATHEMATICAL TECHNIQUES

引用

页码：595 / 617

页数：23

共 22 条

[1] RUNGE-KUTTA ALGORITHMS FOR OSCILLATORY PROBLEMS
BETTIS, DG
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1979, 30 (04): : 699 - 704
[2] A ONE-STEP METHOD FOR DIRECT INTEGRATION OF STRUCTURAL DYNAMIC EQUATIONS
BRUSA, L
NIGRO, L
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1980, 15 (05) : 685 - 699
[3] HIGH-ORDER P-STABLE FORMULAS FOR THE NUMERICAL-INTEGRATION OF PERIODIC INITIAL VALUE-PROBLEMS
CASH, JR
[J]. NUMERISCHE MATHEMATIK, 1981, 37 (03) : 355 - 370
[4] A NOUMEROV-TYPE METHOD WITH MINIMAL PHASE-LAG FOR THE INTEGRATION OF 2ND-ORDER PERIODIC INITIAL-VALUE PROBLEMS .2. EXPLICIT METHOD
CHAWLA, MM
RAO, PS
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1986, 15 (03) : 329 - 337
[5] 2-STEP 4TH-ORDER P-STABLE METHODS WITH PHASE-LAG OF ORDER 6 FOR Y''=F(T,Y)
CHAWLA, MM
RAO, PS
NETA, B
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1986, 16 (02) : 233 - 236
[6] 2-STEP 4TH ORDER P-STABLE METHODS FOR 2ND ORDER DIFFERENTIAL-EQUATIONS
CHAWLA, MM
[J]. BIT, 1981, 21 (02): : 190 - 193
[7] Gautschi W., 1961, NUMER MATH, V3, P381, DOI DOI 10.1007/BF01386037
[8] DAMPING AND PHASE-ANALYSIS FOR SOME METHODS FOR SOLVING 2ND-ORDER ORDINARY DIFFERENTIAL-EQUATIONS
GLADWELL, I
THOMAS, RM
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1983, 19 (04) : 495 - 503
[9] JAMESON A, 1983, 6TH INT C COMP METH
[10] FAMILIES OF METHODS FOR ORDINARY DIFFERENTIAL-EQUATIONS BASED ON TRIGONOMETRIC POLYNOMIALS
NETA, B
FORD, CH
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1984, 10 (01) : 33 - 38

← 1 2 3 →