A problem-solving environment for the numerical solution of nonlinear algebraic equations

作者: Thian-Peng Ter

DOI:

关键词: Mathematical analysisNewton's methodApplied mathematicsLocal convergenceDifferential algebraic geometryDifferential algebraic equationReal algebraic geometryAlgebraic equationProblem solving environmentNonlinear systemMathematics

摘要:

参考文章(43)
W Gropp, P Brune, A Dener, S Abhyankar, K Rupp, B Smith, S Balay, D May, T Munson, D Kaushik, H Zhang, K Buschelman, M Knepley, R Mills, L Curfman McInnes, L Dalcin, J Brown, P Sanan, D Karpeyev, M Adams, S Zampini, Eijkhout, PETSc Users Manual Argonne National Laboratory. ,(2019)
M. Schatzman, John Taylor, Numerical Analysis: A Mathematical Introduction ,(2002)
Uri M. Ascher, Robert D. Russell, Robert M. M. Mattheij, Numerical solution of boundary value problems for ordinary differential equations ,(1985)
Lloyd N. Trefethen, David Bau, Numerical Linear Algebra ,(1997)
Cleve B. Moler, Numerical Computing with MATLAB ,(2004)
X.-C. Cai, W. D. Gropp, D. E. Keyes, M. D. Tidriri, Newton-Krylov-Schwarz Methods in CFD Vieweg+Teubner Verlag, Wiesbaden. pp. 17- 30 ,(1994) , 10.1007/978-3-663-14007-8_3