It is one more example of the author's untiring industry and, so far as we have tested it, of his accuracy in details of analysis. Solutions of the Examples in a Treatise on Differential Equations.

Special attention will be paid to geometric concepts and the role of differential equations in the theory of dynamical systems. Specific topics covered are: First examples; illustrations of use of the ...

Differential equation (DE) models are widely used in many scientific fields, including engineering, physics, and biomedical sciences. The so-called "forward problem," the problem of simulations and ...

MIT solved a century-old differential equation to break 'liquid' AI's computational bottleneck The discovery could usher in a new generation of weather forecasting and autonomous vehicle driving ...

Example 14.10: Systems of Differential Equations The following is a simplified reaction scheme for the competitive inhibitors with recombinant human renin (Morelock et al. 1995).

We apply our method to the case of a semilinear stochastic heat equation driven by a space-time white noise. This journal, begun in 1943 as Mathematical Tables and Other Aids to Computation, publishes ...

We derive a partial differential equation (PDE) representation for the value of financial derivatives with bilateral counterparty risk and funding costs. The model is very general in that the funding ...

A teenager has just done what dozens of seasoned mathematicians could not: they toppled a conjecture that quietly steered harmonic analysis and ...