Results 21 to 30 of about 193 (123)

Generalized solutions of systems of nonlinear partial differential equations [PDF]

, 2009
Thesis (PhD)--University of Pretoria, 2009.In this thesis, we establish a general and type independent theory for the existence and regularity of generalized solutions of large classes of systems of nonlinear partial differential equations (PDEs).

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A numerical framework for solving PDE-constrained optimization problems from multiscale particle dynamics [PDF]

, 2023
In this thesis, we develop accurate and efficient numerical methods for solving partial differential equation (PDE) constrained optimization problems arising from multiscale particle dynamics, with the aim of producing a desired time-dependent state at ...
Aduamoah, Mildred
core   +1 more source

Anatomy and variation in the paraphyletic Mosasaurus lemonnieri assemblage from the Craie phosphatée de ciply, Belgium

The Anatomical Record, EarlyView.
Abstract Nineteenth century excavations of the Ciply‐Malogne Phosphatic Chalk Formation in Hainaut, Belgium, yielded over 50 partial mosasaur skeletons, the majority of which were referred to the species Mosasaurus lemonnieri Dollo, 1889. In the years since, this taxon has experienced a complicated taxonomic history, and its exceptional hypodigm has ...
Henry S. Sharpe, Hallie P. Street‐Sampson, Takuya Konishi, Michael W. Caldwell   +3 more
wiley   +1 more source

Unlocking Hydrokinetic Energy in the Brazilian Amazon: A Statistical Resource Assessment and Economic Feasibility Analysis

Energy Science &Engineering, EarlyView.
This study develops a spatial and technical framework to evaluate hydrokinetic energy potential in the Amazon as a sustainable alternative to diesel‐based systems. By modeling regional resources, we demonstrate that hydrokinetic sources offer a cleaner, economically competitive solution for displacing fossil fuels in remote riverine communities ...
Ana Cláudia Pinto Ferraz, Ivan Felipe Silva dos Santos, Marina Batalini Macedo, Regina Mambeli Barros, Janayna Alves Romil dos Santos   +4 more
wiley   +1 more source

Explicit Methods for Inverse Source Identification in Transient Diffusion via Truncated Eigenfunction Regularization of Temperature Measurements

Heat Transfer, EarlyView.
ABSTRACT This work presents and compares two explicit approaches for estimating space‐ and time‐dependent source terms in parabolic diffusion equations, derived from analytical solutions obtained through the Classical Integral Transform Technique (CITT).
André J. P. de Oliveira, Diego C. Knupp, Luiz A. S. Abreu, Mousa J. Huntul, David A. Pelta, Antônio J. da Silva Neto   +5 more
wiley   +1 more source

Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion

Mathematische Nachrichten, EarlyView.
ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng, Hao Shen, Ranchao Wu, Hao Wang   +3 more
wiley   +1 more source

Computing Skinning Weights via Convex Duality

Computer Graphics Forum, EarlyView.
We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley   +1 more source

WELL-POSEDNESS FOR SOME NON-LINEAR DIFFUSION PROCESSES AND RELATED PDE ON THE WASSERSTEIN SPACE

, 2022
International audienceIn this paper, we investigate the well-posedness of the martingale problem associated to non-linear stochastic differential equations (SDEs) in the sense of McKean-Vlasov under mild assumptions on the coefficients as well as ...
Frikha, Noufel, Chaudru de Raynal, Paul-Eric, Noufel Frikha, Paul-Eric Chaudru de Raynal   +3 more
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SDFs from Unoriented Point Clouds using Neural Variational Heat Distances

Computer Graphics Forum, EarlyView.
We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. We first compute a small time step of heat flow (middle) and then use its gradient directions to solve for a neural SDF (right). Abstract We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from ...
Samuel Weidemaier, Florine Hartwig, Josua Sassen, Sergio Conti, Mirela Ben‐Chen, Martin Rumpf   +5 more
wiley   +1 more source

MATHICSE Technical Report : Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity [PDF]

We analyze the recent Multi-index Stochastic Collocation (MISC) method for computing statistics of the solution of a partial differential equation with random data, where the random coefficient is parametrized by means of a countable sequence of terms in
Tempone, Raúl, Nobile, Fabio, Tamellini, Lorenzo, Haji Ali, Abdul Lateef   +3 more
core   +2 more sources