Are you an EPFL student looking for a semester project?

Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.

Search Results

Partial differential equation

Concept

In mathematics, a partial differential equation (PDE) is an equation which computes a function between various partial derivatives of a multivariable function. The function is often thought of as an "unknown" to be solved for, similar to how x is thought of as an unknown number to be solved for in an algebraic equation like x2 − 3x + 2 = 0. However, it is usually impossible to write down explicit formulas for solutions of partial differential equations.

Concept

Differential equation

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.

Concept

Laplace's equation

In mathematics and physics, Laplace's equation is a second-order partial differential equation named after Pierre-Simon Laplace, who first studied its properties. This is often written as or where is the Laplace operator, is the divergence operator (also symbolized "div"), is the gradient operator (also symbolized "grad"), and is a twice-differentiable real-valued function. The Laplace operator therefore maps a scalar function to another scalar function.

Concept

Siméon Denis Poisson

Baron Siméon Denis Poisson FRS FRSE (si.me.ɔ̃ də.ni pwa.sɔ̃; 21 June 1781 – 25 April 1840) was a French mathematician and physicist who worked on statistics, complex analysis, partial differential equations, the calculus of variations, analytical mechanics, electricity and magnetism, thermodynamics, elasticity, and fluid mechanics. Moreover, he predicted the Poisson spot in his attempt to disprove the wave theory of Augustin-Jean Fresnel, which was later confirmed.

Concept

Function (mathematics)

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity. For example, the position of a planet is a function of time. Historically, the concept was elaborated with the infinitesimal calculus at the end of the 17th century, and, until the 19th century, the functions that were considered were differentiable (that is, they had a high degree of regularity).

Concept

Numerical methods for partial differential equations

Numerical methods for partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs). In principle, specialized methods for hyperbolic, parabolic or elliptic partial differential equations exist. Finite difference method In this method, functions are represented by their values at certain grid points and derivatives are approximated through differences in these values.

Course

CIVIL-210: Fluids mechanics (For GC)

Ce cours est une première introduction à la mécanique des fluides. On aborde tout d'abord les propriétés physiques des fluides et quelques principes fondamentaux de la physique, dont ceux de conservat

Course

MATH-203(b): Analysis III

Le cours étudie les concepts fondamentaux de l'analyse vectorielle et l'analyse de Fourier en vue de leur utilisation pour résoudre des problèmes pluridisciplinaires d'ingénierie scientifique.

Course

MATH-207(a): Analysis IV (for SV, MT)

The course studies the fundamental concepts of complex analysis with a view to their use in solving multidisciplinary problems of scientific engineering.

Course

MATH-405: Harmonic analysis

An introduction to methods of harmonic analysis. Covers convergence of Fourier series, Hilbert transform, Calderon-Zygmund theory, Fourier restriction, and applications to PDE.

Lecture

Nonlinear Equations: Fixed Point Method

Covers the topic of nonlinear equations and the fixed point method.

Lecture

Untitled

MOOC

Matlab & octave for beginners

Premiers pas dans MATLAB et Octave avec un regard vers le calcul scientifique

MOOC

Matlab & octave for beginners

Premiers pas dans MATLAB et Octave avec un regard vers le calcul scientifique

Person

Alfio Quarteroni

Of italian nationality, Alfio Quarteroni was born on May 30th 1952. He pursued his studies in mathematics at University of Pavia and at University of Paris VI. In 1986 he was nominated full professor at Catholic University of Brescia, later professor in ma ...

Person

Fabio Nobile

Person

Jan Sickmann Hesthaven

Prof. Hesthaven received an M.Sc. in computational physics from the Technical University of Denmark (DTU) in August 1991. During the studies, the last 6 months of 1989 was spend at JET, the european fusion laboratory in Culham, UK. Following graduation, he ...

Person

Olivier Martin

Olivier J.F. Martin received the M.Sc. and Ph.D. degrees in physics in 1989 and 1994, respectively, from the Swiss Federal Institute of Technology, Lausanne (EPFL), Switzerland. In 1989, he joined IBM Zurich Research Laboratory, where he investigated therm ...

Publication

Search Results

Partial differential equation

Concept

Partial differential equation

Concept

Differential equation

Concept

Laplace's equation

Concept

Siméon Denis Poisson

Concept

Function (mathematics)

Concept

Numerical methods for partial differential equations

Course

CIVIL-210: Fluids mechanics (For GC)

Course

MATH-203(b): Analysis III

Le cours étudie les concepts fondamentaux de l'analyse vectorielle et l'analyse de Fourier en vue de leur utilisation pour résoudre des problèmes pluridisciplinaires d'ingénierie scientifique.

Course

MATH-207(a): Analysis IV (for SV, MT)

The course studies the fundamental concepts of complex analysis with a view to their use in solving multidisciplinary problems of scientific engineering.

Course

MATH-405: Harmonic analysis

An introduction to methods of harmonic analysis. Covers convergence of Fourier series, Hilbert transform, Calderon-Zygmund theory, Fourier restriction, and applications to PDE.

Lecture

Nonlinear Equations: Fixed Point Method

Covers the topic of nonlinear equations and the fixed point method.

Lecture

Untitled

MOOC

Matlab & octave for beginners

Premiers pas dans MATLAB et Octave avec un regard vers le calcul scientifique

MOOC

Matlab & octave for beginners

Premiers pas dans MATLAB et Octave avec un regard vers le calcul scientifique

Person