and PDEs
Coupled PDEs for Non-Rigid Registration and Segmentation
... The contribution of this paper is to develop a joint non- rigid registration and segmentation method without relying on shape priors. If required by the application though, the shape priors can easily be incorporated ...
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An ALE ESFEM for solving PDEs on evolving surfaces
... • Another approach is to numerically solve bulk equations in one space dimension higher. This may be a natural approach when the surface is computed implicitly using phase field or level set methods or when one wishes to ...
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Coupled PDEs for Non-Rigid Registration and Segmentation
... On the other hand, it is worth mentioning approaches developed solely for the purpose of nonrigid registration, a popular class of which are variational as well, solve PDEs for the purpose of non-rigid matching ...
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Maximal Lp Regularity of Deterministic and Stochastic PDEs
... of PDEs is recommended to motivate the results, but the thesis uses functional analytic techniques and no PDE familiarity is required to follow any discussions or ...
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An efficient local formulation for time–dependent PDEs
... In this paper, a local meshless method (LMM) based on radial basis functions (RBFs) is utilized for the numerical solution of various types of PDEs, due to the flexibility with respect to geometry and high order ...
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Stochastic PDES, regularity structures, and interacting particle systems
... STOCHASTIC PDES, REGULARITY STRUCTURES, AND INTERACTING PARTICLE SYSTEMS AJAY CHANDRA AND HENDRIK WEBER.. These lecture notes grew out of a series of lectures given by the second named a[r] ...
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MathPDE: A Package to Solve PDEs by Finite Differences »
... Diffpack (see [1]) presents an object-oriented problem-solving environment for the numerical solution of PDEs. It implements finite-difference as well as finite-element methods and provides C++ modules with a wide ...
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3D modelling using partial differential equations (PDEs)
... system of ODEs are solved analytically. Any method can be used to discretised the independent variables. This includes Fourier Transform or the finite differ ence method. The technique being used in this thesis was to ...
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Expression and function of phosphodiesterases (PDEs) in the rat urinary bladder
... nucleotide PDEs carry out essential roles in signal transduction by modulating cAMP and cGMP levels and have been recognized as potential targets of several blad- der diseases such as overactive ...whole ...
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Efficient and Robust Segmentations Based on Eikonal and Diffusion PDEs
... diffusion PDEs, by computing the distance functions for the exterior and interior regions, and determining the final segmentation labels by a competition criterion between the distance functions for reaching a ...
11
On the Inverse Scattering Method for Integrable PDEs on a Star Graph
... integrable PDEs were treated as initial value problems for functions of one space variable x ∈ R and one time variable t ≥ ...integrable PDEs on metric ...integrable PDEs on the line with a ...
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Adaptive numerical methods for PDEs
... Abstract. While adaptive numerical methods are often used in solving partial differential equations, there is not yet a cohesive theory which justifies their use or analyzes their perfor- mance. The purpose of this talk ...
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Crowd motion and evolution PDEs under density constraints
... other PDEs are presented, as well as several time-discretization schemes based on variational techniques, together with the main theorems guaranteeing their convergence as a tool to prove existence ...
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On Identification of Nonlinear Parameters in PDEs
... We begin by taking a look at the modified output-least squares (MOLS) functional that emerged as an alternative to the generally non-convex output least-squares (OLS) functional. The MOLS has the desirable property of ...
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Travelling wave solutions to some PDEs of mathematical physics
... 3. Theory of elasticity and Colombeau’s algebra. In this section, we consider a simplified model of elasticity to apply new generalized functions for investigating jump conditions of nonlinear PDEs arising in this ...
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Stochastic PDEs with multiscale structure
... stochastic PDEs, where the forcing term may be a highly irregular Gaussian signal taking values in spaces of rather irregular distributions, see for example [3, 7] for introductory texts on the ...for PDEs ...
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An Analytical and Numerical Study of a Class of Nonlinear Evolutionary PDEs.
... evolutionary PDEs by establishing convergence results for the particle method applied to these ...of PDEs is a collection of strongly nonlinear equations which yield traveling wave solutions and can be used ...
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Finite element methods for surface PDEs
... The starting point was the use of surface finite elements to compute solu- tions to the Poisson problem for the Laplace–Beltrami operator on a curved surface proposed and analysed in Dziuk (1988). Here an important con- ...
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On some nonlinear fractional PDEs in physics
... In this paper, we applied relatively new fractional complex transform (FCT) to convert the given fractional partial differential equations (FPDEs) into corresponding partial differential equations (PDEs) and ...
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Poisson structures for PDEs associated with diffeomorphism groups
... We study Poisson and Lie-Poisson structures on the diffeomorphism groups with a smooth metric spray in connection with dynamics of nonlinear PDEs. In particular, we provide a precise analytic sense in which the ...
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