Ordinary differential equations (ODEs) are widely used in biomedical research and other scientific areas to model complex dynamic systems. It is an important statistical problem to estimate parameters ...
Applied Mathematics, Mathematical Physics, Nonlinear Waves, Parity-Time Symmetry, Scientific Computing, Sum-of-squares Optimization My research focus lies in Applied Mathematics broadly; more ...
Science Progress (1933-), Vol. 104, No. 4 (2021), pp. 1-26 (26 pages) Singularity is one of the important features in invariant structures in several physical phenomena reflected often in the ...
The course begins with an overview of classes of ordinary and partial differential equations (ODEs & PDEs) that are solved by exact methods. Fourier methods for solving linear DEs are extended to ...
Quantum Painleve equations are Fokker-Planck/non-stationary Schroedinger equations satisfied by certain eigenvalue probabilities of Dyson beta ensembles of random ...
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