TY  - JOUR
AB  - A large class of consistent and unconditionally stable discretizations of nonlinear boundary value problems is defined. The number of solutions to the discretizations is compared to the number of solutions of the continuous problem. We state conditions under which these numbers must agree for all sufficiently small mesh sizes. Various examples, including bifurcation problems, illustrate our theoretical results.
DA  - 1981
DO  - 10.1137/0902009
LA  - eng
IS  - 1
M2  - 107
PY  - 1981
SN  - 0196-5204
SP  - 107-120
T2  - SIAM Journal on Scientific and Statistical Computing
TI  - Stability and Multiplicity of Solutions to Discretizations of Nonlinear Ordinary Differential Equations
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-17853627
Y2  - 2025-01-31T22:08:18
ER  -