Results 261 to 270 of about 116,861 (304)
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On the conservation laws of PDEs
Reports on Mathematical Physics, 1988The covariance of methods for obtaining conservation laws for nonlinear partial differential equations is studied [the second author, Riv. Nuovo Cim. 5, No.4, 1-122 (1982; see the review above) and \textit{A. M. Vinogradov}, J. Math. Anal. Appl. 100, 41-129 (1985; Zbl 0548.58015)].
MARINO V, PRASTARO, Agostino
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Convergence Rates for Penalized Least Squares Estimators in PDE Constrained Regression Problems
SIAM/ASA J. Uncertain. Quantification, 2020We consider PDE constrained nonparametric regression problems in which the parameter $f$ is the unknown coefficient function of a second order elliptic partial differential operator $L_f$, and the ...
Richard Nickl, S. Geer, Sven Wang
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2009
In this chapter we deal with cascades of parabolic and second-order hyperbolic PDEs. These are example problems. The parabolic-hyperbolic cascade is represented by a heat equation at the input of an antistable wave equation. The hyperbolic-parabolic cascade is represented by a wave equation at the input of an unstable reaction-diffusion equation.
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In this chapter we deal with cascades of parabolic and second-order hyperbolic PDEs. These are example problems. The parabolic-hyperbolic cascade is represented by a heat equation at the input of an antistable wave equation. The hyperbolic-parabolic cascade is represented by a wave equation at the input of an unstable reaction-diffusion equation.
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A regional adaptive variational PDE model for computed tomography image reconstruction
Pattern Recognition, 2019Improving CT images by increasing the number of scans, hence increasing the ionizing radiation dose, can increase the probability of inducing cancer in the patient. Using fewer images but improving them by accurate reconstruction is better solution.
Wei Wei +3 more
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Quaestiones Mathematicae, 2000
Click on the link to view the abstract.Quaestiones Mathematicae 23(2000), 495 ...
Smet, A., Verschoren, A.
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Click on the link to view the abstract.Quaestiones Mathematicae 23(2000), 495 ...
Smet, A., Verschoren, A.
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2003
The spine of an object is an entity that can characterise the object’s topology and describes the object by a lower dimension. It has an intuitive appeal for supporting geometric modelling operations.
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The spine of an object is an entity that can characterise the object’s topology and describes the object by a lower dimension. It has an intuitive appeal for supporting geometric modelling operations.
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2005
One of the aims of Computer Vision in the past thirty years has been to recognize shapes with numerical algorithms. In this chapter, we describe five curve smoothing algorithms, of growing sophistication and invariance. We give a detailed implementation and link these algorithms to the curve evolution PDE's they implement.
Guichard, Frédéric +2 more
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One of the aims of Computer Vision in the past thirty years has been to recognize shapes with numerical algorithms. In this chapter, we describe five curve smoothing algorithms, of growing sophistication and invariance. We give a detailed implementation and link these algorithms to the curve evolution PDE's they implement.
Guichard, Frédéric +2 more
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1991
The main purpose of this interesting paper is to generalize to higher order PDE's some previous results of \textit{J. Eliashberg} [Semin. sud- rhodanien géom. I, 17-31 (1984; Zbl 0542.57024)] concerning the cobordism of the first order PDE's. The paper contains two sections (1. Cobordism and spectral sequences; 2.
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The main purpose of this interesting paper is to generalize to higher order PDE's some previous results of \textit{J. Eliashberg} [Semin. sud- rhodanien géom. I, 17-31 (1984; Zbl 0542.57024)] concerning the cobordism of the first order PDE's. The paper contains two sections (1. Cobordism and spectral sequences; 2.
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Geometry of PDEs and Mechanics
1996Algebraic Geometry: Algebraic Complements, Affine spaces, Differential Manifolds, Grassmann Manifolds, Spectral Sequences. 2. Differential Equations (PDES): Geometry of Differential Equations, Ordinary Differential Equations (ODEs), Characteristics of PDEs, Affine PDEs and Green Functions, Spectral Sequences in PDEs, Tunnel Effects in PDEs, Cobordism ...
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Reports on Mathematical Physics, 1991
This is an extensive review of some recent developments in the applications of a variety of techniques from algebraic topology to quantum field theory. The main aim is to show how category theory, theory of fibre bundles, cobordism and spectral sequences can be exploited for a study of the geometry of partial differential equations and hence that of ...
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This is an extensive review of some recent developments in the applications of a variety of techniques from algebraic topology to quantum field theory. The main aim is to show how category theory, theory of fibre bundles, cobordism and spectral sequences can be exploited for a study of the geometry of partial differential equations and hence that of ...
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