@Article{JCM-12-1, author = {Kuang, Jiaoxun and Lu, Lianhua}, title = {On the Unique Solvability of the Nonlinear Systems in MDBM}, journal = {Journal of Computational Mathematics}, year = {1994}, volume = {12}, number = {1}, pages = {55--60}, abstract = {
To obtain the approximate solution of the nonlinear ordinary differential equations requires the solution to systems of nonlinear equations. The authors study the conditions for the existence and uniqueness of the solutions to the algebraic equations in multiderivative block methods.