Results 11 to 20 of about 135 (89)
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
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A priori bounds for the generalised parabolic Anderson model
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1315-1394, May 2026.Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra +2 more
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Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan +2 more
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Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Advanced Physics Research, Volume 5, Issue 2, February 2026.Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
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Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
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Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.ABSTRACT The heat equation is often used to inpaint dropped data in inpainting‐based lossy compression schemes. We propose an alternative way to numerically solve the heat equation by an extended Krylov subspace method. The method is very efficient with respect to the computation of the solution of the heat equation at large times.
Volker Grimm, Kevin Liang
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Molecular Plant Pathology, Volume 27, Issue 2, February 2026.Erwinia amylovora infects apple blossoms by activating the T3SS, then spreads systemically via amylovoran‐mediated biofilms. Transitions between motile and sessile states are regulated by key two‐component systems and c‐di‐GMP. This review summarises infection biology, virulence factors, regulatory networks and evolutionary insights underlying fire ...
Dhirendra Niroula +3 more
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Asia-Pacific Journal of Chemical Engineering, Volume 21, Issue 1, January/February 2026.ABSTRACT Thermal energy transport likely through polymer extrusion, cooling of metallic plates, and chemical processing equipment relating to the flow of viscoelastic nanofluid has a greater role in engineering because of its elastic characteristics.
Rupa Baithalu +3 more
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A matter arising: When should inflammatory and autoimmune rheumatic diseases be considered ‘early’?
European Journal of Clinical Investigation, Volume 56, Issue 1, January 2026.Timely recognition of inflammatory and autoimmune rheumatic diseases (IARDs) is important to optimize the early diagnosis with tailored interventions and possible prevention of irreversible organ damage. This narrative review provides an update by summarizing the advances in identifying the early stages of rheumatoid arthritis, systemic sclerosis and ...
Elvis Hysa +7 more
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Journal of the American Ceramic Society, Volume 109, Issue 1, January 2026.Abstract Silicon carbide (SiC) is a promising material for hypersonic thermal protection systems, but its complex oxidation behavior—marked by transitions between passive, active, and interfacial bubbling regimes—can lead to catastrophic failure. Existing SiC models typically focus exclusively on either passive or active oxidation.
Théo A. Rulko, Raúl A. Radovitzky
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