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| Content Provider | Springer Nature Link |
|---|---|
| Author | Thalhammer, Mechthild Emmrich, Etienne |
| Copyright Year | 2010 |
| Abstract | The convergence of a time discretisation with variable time steps is shown for a class of doubly nonlinear evolution equations of second order. This also proves existence of a weak solution. The operator acting on the zero-order term is assumed to be the sum of a linear, bounded, symmetric, strongly positive operator and a nonlinear operator that fulfils a certain growth and a Hölder-type continuity condition. The operator acting on the first-order time derivative is a nonlinear hemicontinuous operator that fulfils a certain growth condition and is (up to some shift) monotone and coercive. |
| Ending Page | 190 |
| Page Count | 20 |
| Starting Page | 171 |
| File Format | |
| ISSN | 16153375 |
| e-ISSN | 16153383 |
| Journal | Foundations of Computational Mathematics |
| Issue Number | 2 |
| Volume Number | 10 |
| Language | English |
| Publisher | Springer-Verlag |
| Publisher Date | 2010-02-05 |
| Publisher Place | New York |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Nonlinear equations Nonlinear second-order hyperbolic equations Economics general Variable time grid Linear and Multilinear Algebras, Matrix Theory Monotone operator Weak solution Time discretisation Initial value problems for nonlinear higher-order equations Convergence Evolution equation of second order Stability and convergence of numerical methods Numerical Analysis Computer Science Nonlinear evolution equations Abstract hyperbolic equations Math Applications in Computer Science Applications of Mathematics Monotone operators and generalizations |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Analysis Computational Theory and Mathematics Computational Mathematics |
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