THE main work of mathematical physicists is to represent the sequence of phenomena in time and space by means of differential equations, and to solve these equations. Even the revolution effected by ...

The fdaPDE core library is a C++ header-only library for Partial Differential Equation discretization, computational geometry, unconstrained nonlinear optimization, linear algebra and much more.

Partial differential equations (PDEs) are fundamental tools for modeling a wide range of scientific and engineering phenomena. This PhD course focuses on developing high-performance computational ...

IN the six lectures before us, Prof. Prasad gives an interesting account of the part played by partial differential equations in dealing with vibratory phenomena, conduction of heat, gravitational ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

In teaching and textbook-writing on partial differential equations the author has observed some peculiar phenomena. He gives a bouquet of such observations in the article. Publisher Information ...

Abstract: Many physical, engineering problems from some areas like fluid mechanics, heat transfer, rigid body dynamics and elasticity are modelled by Partial Differential Equations (PDEs). That's why, ...

Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...

Have you ever wondered how complex phenomena like fluid flows, heat transfer, or even the formation of patterns in nature can be described mathematically? The answer lies in partial differential ...

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