| Class of numerical methods for differential-algebraic systems with discontinuous right-hand sides |
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| 作者姓名： | Leng Xin Song Xiaoqiu & Liu DeguiInstitute of No. Second Academy of China Aerospace Science and Industry Corporation Beijing P. R. China |
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| 作者单位： | Leng Xin，Song Xiaoqiu & Liu DeguiInstitute of No.204，Second Academy of China Aerospace Science and Industry Corporation，Beijing 100854，P. R. China |
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| 摘 要： | 1.INTRODUCTION Differential algebraicsystemswithdiscontinuous right handsides My′=f(t,y),a≤t≤b, y(t0)=y0(1) discontinuitiesoff(t,y)aredeterminedbythestate ofswitchingfunctionφ(t,y).Adiscontinuityissaid tooccuratt whenφ(t ,y(t ))=0.Theex pressionoff(t,y)is f(t,y)=f-(t,y)φ(t,y)<0f+(t,y)φ(t,y)≥0(2) tistheindependentvariableofsystem,y=( y1, y2, …, yn)Tisstatevariableofndimensions,f=(f1, f2,…,fn)T,somefiisdiscontinuousfunction,M= m1,…,mn]n×nisann×ndiagonalmatrix,thedi …
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Class of numerical methods for differential-algebraic systems with discontinuous right-hand sides |
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| Leng Xin,Song Xiaoqiu & Liu DeguiInstitute of No.,Second Academy of China Aerospace Science and Industry Corporation,Beijing ,P. R. China.Class of numerical methods for differential-algebraic systems with discontinuous right-hand sides[J].Journal of Systems Engineering and Electronics,2005,16(1). |
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| Authors: | LENG Xin Song Xiaoqiu Liu Degui |
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| Institution: | Institute of No. 204, Second Academy of China Aerospace Science and Industry Corporation, Beijing 100854, P. R. China |
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| Abstract: | Numerical methods for Differential-Algebraic systems with discontinuous right-hand sides is discussed. A class of continuous Rosenbrock methods are constructed, and numerical experiments show that the continuous Rosenbrock methods are effective. Applying the methods, a fast and high-precision numerical algorithm is given to deal with typical discontinuous parts, which occur frequently in differential-algebraic systems(DAS). |
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| Keywords: | algorithm differential-algebraic systems right-hand sides typical discontinuous parts |
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