Results 111 to 120 of about 15,056,914 (247)

Hierarchical Differentiable Fluid Simulation

Computer Graphics Forum, EarlyView.
We introduce a two‐step algorithm that significantly reduces memory usage for solving control problems using differentiable fluid simulation techniques: our method first optimizes for bulk forces at reduced resolution, then refines local details over sub‐domains while maintaining differentiability. In trading runtime for memory, it enables optimization
Xiangyu Kong, Arnaud Schoentgen, Damien Rioux‐Lavoie, Paul G. Kry, Derek Nowrouzezahrai   +4 more
wiley   +1 more source

A discrete limit theorem for general Dirichlet series in the space of meromorphic functions. [PDF]

, 2008
The discrete limit theorem for general Dirichlet series in the space of meromorphic functions was proved in this paper.
Šemiotas, Donatas,
core  

Solution of the initial-boundary value problem for the wave equation with a mixed derivative in the equation in the case of Dirichlet-Neumann boundary conditions

Современная математика: Фундаментальные направления
We study the initial-boundary value problem for a second-order nonhomogeneous hyperbolic equation in a plane half-strip with constant coefficients, containing a mixed derivative, and with zero and nonzero potentials. This equation is the equation for the
M. S. Pastukhov, V. S. Rykhlov
doaj   +1 more source

A generalization of a theorem of Suetuna on Dirichlet series

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1952
Es seien \(\chi_1, \chi_2,\ldots,\chi_n\) eigentliche Dirichletsche Charaktere, darunter sei höchstens ein Hauptcharakter enthalten, und \(L(s; \chi_i)\) bezeichne die \(\chi_i\) zugeordnete Dirichletsche \(L\)-Reihe. Wenn alsdann alle Koeffizienten der Dirichletschen Reihe \(Z(s) = \prod_{i=1}^s L(s; \chi_i)\) nicht negativ sind, so beweist Verf., daß
openaire   +3 more sources

Fast Injective Mesh Parameterization via Beltrami Coefficient Prolongation

Computer Graphics Forum, EarlyView.
Abstract We present a highly efficient and robust method for free boundary injective parameterization of disk‐like triangle meshes with low isometric distortion. Harmonic function–based approaches, grounded in a strong mathematical framework, are widely employed.
G. Fargion, O. Weber
wiley   +1 more source

Volume Quantization with Flexible Singularities for Hexahedral Meshing

Computer Graphics Forum, EarlyView.
Abstract We present a novel algorithm for quantization and subsequent hexahedral mesh generation from seamless volumetric maps. Quantization is the process of choosing integers that represent the numbers of hexahedral elements to be placed in each region of the volume, and transforming the seamless map into an integer‐grid map matching that choice ...
H. Brückler, M. Campen
wiley   +1 more source

Skeletal‐Driven Animation of Anatomical Humans via Neural Deformation Gradients

Computer Graphics Forum, EarlyView.
Abstract Most real‐time animation techniques for digital humans are limited to deforming the outer skin surface. Geometric skinning methods are highly efficient but struggle with artifacts such as collapsing joints or self‐intersections when animating inner anatomy along with the outer skin.
G. Nolte, F. Kemper, U. Schwanecke, M. Botsch   +3 more
wiley   +1 more source

Generative Cutout Animation

Computer Graphics Forum, EarlyView.
Abstract Cutout animation is one of the earliest forms of animation, and to this day remains a popular technique featured in numerous films including Monty Python and South Park series. Most computer animation systems, however, focus on different styles, including cel animation, making cutout animation somewhat underexplored.
Ivan Puhachov, Noam Aigerman, Thibault Groueix, Mikhail Bessmeltsev   +3 more
wiley   +1 more source

Stability and Positivity Preservation in Conventional Methods for Space-Fractional Diffusion Problems: Analysis and Algorithms

Algorithms
The numerical solution of space-fractional diffusion problems is investigated focusing on stability and non-negativity issues. The extension of classical schemes is analyzed for the case of the spectral fractional Dirichlet Laplacian operator.
Menghis T. Bahlibi, Ferenc Izsák
doaj   +1 more source

Sets of values of general Dirichlet series

Duke Mathematical Journal, 1968
\textit{Harald Bohr} [Math. Ann. 79, 136--156 (1919; JFM 46.0490.01)] gave four theorems on the set of values of a general Dirichlet series \(f(s) = \sum_{n=1}^\infty a_n e^{-\lambda_ns}\), where \(\lambda_{n+1} > \lambda_n\), \(\lambda_n\to +\infty\), taken along a given vertical line or in its neighborhood.
openaire   +2 more sources