Later studies, also on the topic of nonlinear differential equations, were carried out by George David Birkhoff, Andrey Nikolaevich Kolmogorov, Mary Lucy Cartwright and John Edensor Littlewood, and Stephen Smale.
22.
"' Thomas Brooke Benjamin "', English mathematical physicist and mathematician, best known for his work in mathematical analysis and fluid mechanics, especially in applications of nonlinear differential equations.
23.
In May 1690 in a paper published in " Acta Eruditorum ", Jacob Bernoulli showed that the problem of determining the isochrone is equivalent to solving a first-order nonlinear differential equation.
24.
As the field generated by quasimodular forms of some level has transcendence degree 3 over "'C "', this implies that any quasimodular form satisfies some nonlinear differential equation of order 3.
25.
His research interests are concentrated in computer algebra, symbolic and algebraic computations, algebraic and numerical analysis of nonlinear differential equations, polynomial equations, applications to mathematics and physics, and quantum computation with over 210 published articles.
26.
In 2015 he was awarded the SIAM-ETH Henrici prize for 3 original, broad and fundamental contributions to the applied and numerical analysis of nonlinear differential equations and their applications in areas such as fluid dynamics, image processing and social dynamics ".
27.
In continuous time, when you've got a bunch of nonlinear differential equations strung together, and you model them using, say, RungeKutta45, how many dimensions can you keep adding before the computational rounding-error and noise will take over?
28.
In 2006 he received with Martin Kruskal, Robert M . Miura, and John M . Greene the Leroy P . Steele Prize for their work on the inverse scattering transformation method for the solution of nonlinear differential equations ( special soliton modeling equations similar to the Korteweg de Vries equation ).
29.
His dissertation " Qualitative Problems for Nonlinear Differential Equations of Accretive Type in Banach Spaces " included original results published in top-ranked journals ( " Atti della Accademia Nazionale dei Lincei, Journal of Differential Equations, Journal of Mathematical Analysis and Applications, Nonlinear Analysis, Numerical Functional Analysis and Optimization " ).
30.
When attempting to look for'good'nonlinear differential equations it is this property of linear equations that one would like to see : asking for no movable singularities is often too stringent, instead one often asks for the so-called Painlev?property :'any movable singularity should be a pole', first used by Sofia Kovalevskaya.
