6533b7dcfe1ef96bd12732e6
RESEARCH PRODUCT
Numerische Behandlung von Verzweigungsproblemen bei gew�hnlichen Differentialgleichungen
H. Webersubject
Oscillation theoryComputational MathematicsShooting methodApplied MathematicsOrdinary differential equationNumerical analysisMathematical analysisBoundary value problemNonlinear boundary value problemStandard methodsBifurcationMathematicsdescription
We present a new method for the numerical solution of bifurcation problems for ordinary differential equations. It is based on a modification of the classical Ljapunov-Schmidt-theory. We transform the problem of determining the nontrivial branch bifurcating from the trivial solution into the problem of solving regular nonlinear boundary value problems, which can be treated numerically by standard methods (multiple shooting, difference methods).
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1979-03-01 | Numerische Mathematik |