Scinovex
Physical Sciences → Mathematics → Numerical Analysis

Numerical methods for differential equations

This cluster of papers focuses on the development and analysis of numerical integration methods for solving differential equations, with a particular emphasis on exponential integrators, symplectic methods, time-stepping schemes, and variational integrators. The research covers a wide range of applications including the numerical solution of the Schrödinger equation, Hamiltonian systems, and matrix exponential computations.

71K works worldwide1.1M citations
Numerical IntegrationDifferential EquationsExponential IntegratorsSymplectic MethodsTime-Stepping SchemesVariational IntegratorsMatrix ExponentialRunge-Kutta MethodsSchrödinger EquationHamiltonian Systems

Journals publishing in this area

1Applied Mathematics and Computation cover
Applied Mathematics and Computation
ISSN 0096-30032,037 articles in this topic
195h-index
2Journal of Computational Physics cover
Journal of Computational Physics
ISSN 0021-99911,708 articles in this topic
411h-index
3Journal of Mathematical Analysis and Applications cover
Journal of Mathematical Analysis and Applications
ISSN 0022-247X1,416 articles in this topic
235h-index
4Computers & Mathematics with Applications cover
Computers & Mathematics with Applications
ISSN 0898-12211,359 articles in this topic
231h-index
5Mathematics of Computation cover
Mathematics of Computation
ISSN 0025-57181,320 articles in this topic
322h-index
6IEEE Transactions on Automatic Control cover
IEEE Transactions on Automatic Control
ISSN 0018-92861,234 articles in this topic
474h-index
7Computer Methods in Applied Mechanics and Engineering cover
Computer Methods in Applied Mechanics and Engineering
ISSN 0045-7825812 articles in this topic
313h-index
8International Journal for Numerical Methods in Engineering cover
International Journal for Numerical Methods in Engineering
ISSN 0029-5981789 articles in this topic
270h-index
9Computer Physics Communications cover
Computer Physics Communications
ISSN 0010-4655535 articles in this topic
296h-index
10Automatica cover
Automatica
ISSN 0005-1098509 articles in this topic
397h-index
11Journal of Mathematical Problems Equations and Statistics cover
Journal of Mathematical Problems Equations and Statistics
ISSN 2709-93938 articles in this topic
3h-index
12International Journal of Physics and Mathematics cover
International Journal of Physics and Mathematics
ISSN 2664-86366 articles in this topic
3h-index