The development of numerical techniques for solving parabolic

partial differential equations is subjects of considerable interest.

Stefanova, Two dimensional integral inequalities and applications to

partial differential equations with "maxima", IeJPAM, 1 (2010), No.

1966, Linear

Partial Differential Equations with Constant Coefficients, Gordon and Breach.

Methods

Partial Differential Equations, 12 (1996), pp.

16) is very important for the solution of the boundary value problem for linear

partial differential equations.

A more physical approach can be motivated by remembering that the system of

partial differential equations under consideration is actually a set of balance equations and how the local balances have been derived/motivated [3].

Problems of this type arise in modeling based on

partial differential equations, such as in fluid flow and structural analysis.

Polycadr is a general-purpose finite element package (about 50,000 lines of code) which solves the

partial differential equations for molten polymer flows.

The augmented state variable approach for pricing strongly path-dependent options using either

partial differential equations or Monte Carlo simulation

Geometric analysis, mathematical relativity, and nonlinear

partial differential equations.

Coleman's second updated edition of An Introduction To

Partial Differential Equations With MATLAB is a pick for any college-level collection strong in applied mathematics and nonlinear science, and provides a thorough assessment updated for the latest mathematical applications.

Time-step simulation and advanced topics like the simulation of chaotic dynamics and

partial differential equations are also covered.