A general symbolic PDE solver generator: Explicit schemes
Scientific Programming
On Stability, Monotonicity, and Construction of Difference Schemes II: Applications
SIAM Journal on Scientific Computing
Convection in a porous medium and mimetic scheme in polar coordinates
CASC'11 Proceedings of the 13th international conference on Computer algebra in scientific computing
Modified Eulerian-Lagrangian formulation for hydrodynamic modeling
Journal of Computational Physics
On the provably tight approximation of optimal meshing for non-convex regions
CASC'06 Proceedings of the 9th international conference on Computer Algebra in Scientific Computing
Applied Numerical Mathematics
Stability investigation of a difference scheme for incompressible Navier-Stokes equations
CASC'07 Proceedings of the 10th international conference on Computer Algebra in Scientific Computing
Hi-index | 0.00 |
From the Publisher:Partial differential equations (PDEs) play an important role in the natural sciences and technology because they describe the way systems (natural and other) behave. The inherent suitability of PDEs to characterize the nature, motion, and evolution of systems, has led to their wide-ranging use in numerical models that are developed in order to analyze systems that are not otherwise easily studied. Numerical Solutions for Partial Differential Equations: Problems Solving Using Mathematica contains all the details necessary for the reader to understand the principles and applications of advanced numerical methods for solving PDEs. In addition, it shows how the modern computer system algebra Mathematica can be used for the analytic investigation of such numerical properties as stability, approximation, and dispersion.