Concept

Fundamental theorem of calculus

Related publications (32)

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Self-Similar Vector Fields

Pouya Dehghani Tafti

We propose statistically self-similar and rotation-invariant models for vector fields, study some of the more significant properties of these models, and suggest algorithms and methods for reconstructing vector fields from numerical observations, using the ...

EPFL2011

Enabling parametric feasibility analysis in real-time calculus driven performance evaluation

Alena Simalatsar

This paper advocates a rigorously formal and compositional style for obtaining key performance and/or interface metrics of systems with real-time constraints. We propose a hierarchical approach that couples the independent and different by nature framework ...

ACM2011

Splitting Methods with Modified Potentials and Application to the Damped Wave Equation

Jonathan Rochat

In this report we study and compare particular integration methods to solve ordinary differential equations, which are separable in solvable parts. The main source for this work is the article of Blanes and Casas: "On the necessity of negative coefficient ...

2011

Link between Alginate Reaction Front Propagation and General Reaction Diffusion Theory

Jürgen Brugger, Philippe Renaud, Thomas Michael Braschler, Kristopher Pataky, Ana Valero, Ludovica Colella

We provide a common theoretical framework reuniting specific models for the Ca2+-alginate system and general reaction diffusion theory along with experimental validation on a microfluidic chip. As a starting point, we use a set of nonlinear, partial differ ...

2011

Mechanics of Unsaturated Geomaterials

Lyesse Laloui

An understanding of the mechanics of unsaturated geomaterials has become an important component of the background of a geo-engineer operating in various fields of geomechanics. Several geotechnical operations, such as compaction and excavation processes, a ...

John Wiley & sons2010

The Momentum Map, Symplectic Reduction and an Introduction to Brownian Motion

The underlying goal of this Master's thesis is of laying down, in so far as possible, the foundations for later work in Geometric Stochastic Mechanics. The first part is a presentation of symplectic reduction, going through the momentum map and culminating ...

2010

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu

The approximate behavior of wavelets as differential operators is often considered as one of their most fundamental properties. In this paper, we investigate how we can further improve on the wavelet's behavior as differentiator. In particular, we propose ...

SPIE2005

Inner Classes and Virtual Types

Vincent Cremet, Philippe Altherr

This paper studies the interplay between inner classes and virtual types. The combination of these two concepts can be observed in object-oriented languages like Beta or Scala. This study is based on a calculus of classes and objects composed of a very lim ...

2005

Wavelets, Fractals, and Radial Basis Functions

Michaël Unser, Thierry Blu

Wavelets and radial basis functions (RBFs) lead to two distinct ways of representing signals in terms of shifted basis functions. RBFs, unlike wavelets, are nonlocal and do not involve any scaling, which makes them applicable to nonuniform grids. Despite t ...

IEEE2002

Wavelets and Radial Basis Functions: A Unifying Perspective

Michaël Unser, Thierry Blu

Wavelets and radial basis functions (RBF) are two rather distinct ways of representing signals in terms of shifted basis functions. An essential aspect of RBF, which makes the method applicable to non-uniform grids, is that the basis functions, unlike wave ...

SPIE2000