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20042026
most citedSciPy 1.0--Fundamental Algorithms for Scientific Computing in Python

40.2k citations

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11 papers · 1 filter

math.NA2026

Reduced-order computational homogenization for hyperelastic media using gradient based sensitivity analysis of microstructures

Vladimír Lukeš, Eduard Rohan

We propose an algorithm for the computational homogenization of locally periodic hyperelastic structures undergoing large deformations due to external quasi-static loading. The alg…

math.NA2021★ 6 cited

Minimization of p-Laplacian via the Finite Element Method in MATLAB

Ctirad Matonoha, Alexej Moskovka, Jan Valdman

Minimization of energy functionals is based on a discretization by the finite element method and optimization by the trust-region method. A key tool is a local evaluation of the ap…

math.NA2020★ 12 cited

Homogenization of large deforming fluid-saturated porous structures

Vladimír Lukeš, Eduard Rohan

The two-scale computational homogenization method is proposed for modelling of locally periodic fluid-saturated media subjected a to large deformation induced by quasistatic loadin…

math.NA2020★ 8 cited

Numerical aspects of integration in semi-closed option pricing formulas for stochastic volatility jump diffusion models

Josef Daněk, J. Pospíšil

In mathematical finance, a process of calibrating stochastic volatility (SV) option pricing models to real market data involves a numerical calculation of integrals that depend on…

math.NA2018★ 5 cited

Determination of Stationary Points and Their Bindings in Dataset using RBF Methods

Zuzana Majdisova, Vaclav Skala, Michal Smolik

Stationary points of multivariable function which represents some surface have an important role in many application such as computer vision, chemical physics, etc. Nevertheless, t…

math.NA2018★ 194 cited

Radial Basis Function Approximations: Comparison and Applications

Zuzana Majdisova, Vaclav Skala

Approximation of scattered data is often a task in many engineering problems. The Radial Basis Function (RBF) approximation is appropriate for large scattered (unordered) datasets…

math.NA2018★ 11 cited

A Radial Basis Function Approximation for Large Datasets

Zuzana Majdisova, Vaclav Skala

Approximation of scattered data is often a task in many engineering problems. The Radial Basis Function (RBF) approximation is appropriate for large scattered datasets in d-dimensi…

math.NA2017★ 73 cited

RBF Interpolation with CSRBF of Large Data Sets

Vaclav Skala

This contribution presents a new analysis of properties of the interpolation using Radial Bases Functions (RBF) related to large data sets interpolation. The RBF application is con…

math.NA2016★ 11 cited

Modelling large-deforming fluid-saturated porous media using an Eulerian incremental formulation

Eduard Rohan, Vladimír Lukeš

The paper deals with modelling fluid saturated porous media subject to large deformation. An Eulerian incremental formulation is derived using the problem imposed in the spatial co…

math.NA2014★ 48 cited

Guaranteed upper-lower bounds on homogenized properties by FFT-based Galerkin method

Jaroslav Vondřejc, Jan Zeman, Ivo Marek

Guaranteed upper-lower bounds on homogenized coefficients, arising from the periodic cell problem, are calculated in a scalar elliptic setting. Our approach builds on the recent va…

math.NA2013★ 171 cited

An FFT-based Galerkin Method for Homogenization of Periodic Media

Jaroslav Vondřejc, Jan Zeman, Ivo Marek

In 1994, Moulinec and Suquet introduced an efficient technique for the numerical resolution of the cell problem arising in homogenization of periodic media. The scheme is based on…