Chaplygin's method if Newton's method

DOI10.1016/0022-247X(78)90277-9zbMath0398.65042MaRDI QIDQ1254092

Giovanni Vidossich

Publication date: 1978

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Ordinary Differential EquationsNewton's MethodNumerical MethodsInitial Value ProblemsInitial Value ProblemChaplygin's Method

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with nonlinear operators (65J15) Volterra integral equations (45D05)

Related Items (3)

A family of Chaplygin-type solvers for Itô stochastic differential equations ⋮ Newton-Kantorovitch method for decoupled forward-backward stochastic differential equations ⋮ A new approach to the discretization of Chaplygin's method

Cites Work

• A class of semi-linear equations of evolution
• Global convergence of successive approximations
• Newton's method and boundary value problems
• Parabolic differential inequalities and Chaplighin's method
• Note on abstract differential inequalities and Chaplighin method
• A connection between two certain methods of successive approximations in differential equations
• An optimal solution of Nicoletti's boundary value problem
• Solution of linear and slightly nonlinear differential equations
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