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» Toward a Physics of Equations
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CSC
2008
13 years 9 months ago
The Dirichlet problem for the Laplace equation in a starlike domain
Many applications of Mathematical Physics and Engineering are connected with the Laplacian, however, the most part of BVP relevant to the Laplacian are solved in explicit form onl...
Diego Caratelli, Paolo Emilio Ricci
CPHYSICS
2010
184views more  CPHYSICS 2010»
13 years 8 months ago
Parallel Newton-Krylov-Schwarz algorithms for the three-dimensional Poisson-Boltzmann equation in numerical simulation of colloi
We investigate fully parallel Newton-Krylov-Schwarz (NKS) algorithms for solving the large sparse nonlinear systems of equations arising from the finite element discretization of ...
Feng-Nan Hwang, Shang-Rong Cai, Yun-Long Shao, Jon...
CCECE
2009
IEEE
14 years 2 months ago
Estimation of boundary properties using stochastic differential equations
The inverse diffusion problems deal with the estimation of many crucial parameters such as the diffusion coefficient, source properties, and boundary conditions. Such algorithms ...
Ashraf Atalla, Aleksandar Jeremic
SIAMMA
2011
98views more  SIAMMA 2011»
13 years 2 months ago
Time-Periodic Linearized Solutions of the Compressible Euler Equations and a Problem of Small Divisors
It has been unknown since the time of Euler whether or not time-periodic sound wave propagation is physically possible in the compressible Euler equations, due mainly to the ubiqui...
Blake Temple, Robin Young
ICTAI
2008
IEEE
14 years 2 months ago
The Performance of Approximating Ordinary Differential Equations by Neural Nets
—The dynamics of many systems are described by ordinary differential equations (ODE). Solving ODEs with standard methods (i.e. numerical integration) needs a high amount of compu...
Josef Fojdl, Rüdiger W. Brause