A New Class of Higher Order Accurate Non-Oscillatory Implicit Time Integration Schemes

2002 ◽  
Author(s):  
Karthikeyan Duraisamy ◽  
James Baeder
Keyword(s):  
Time Integration ◽  
Higher Order ◽  
Implicit Time ◽  
New Class ◽  
Integration Schemes ◽  
Implicit Time Integration ◽  
Time Integration Schemes

A Mixed and Multi-Step Higher-Order Implicit Time Integration Family

2010 ◽  
Vol 224 (10) ◽  
pp. 2097-2108 ◽  
Author(s):  
M Rezaiee-Pajand ◽  
S R Sarafrazi
Keyword(s):  
Time Integration ◽  
Higher Order ◽  
Trapezoidal Rule ◽  
Implicit Time ◽  
Benchmark Problems ◽  
Integration Schemes ◽  
Implicit Time Integration ◽  
Time Integration Schemes ◽  
The Stability ◽  
Stability And Accuracy

This article develops a new time integration family for second-order dynamic equations. A combination of the trapezoidal rule and higher-order Newton backward extrapolation functions are utilized in the formulation. Five members of the suggested family are extensively studied in this article. Most members of the presented time integration family are new. The stability and accuracy of the proposed time integration schemes are investigated by solving some benchmark problems. Numerical results are checked and compared with well-known strategies. The findings of the article show the efficiency, accuracy and robustness of the suggested techniques.

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