搜索结果: 1-15 共查到“偏微分方程 I-method”相关记录22条 . 查询时间(0.22 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Long-time asymptotics of soliton equations via the nonlinear steepest descent method
非线性 最速下降法 孤立子方程 长时间渐近性
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2023/11/13
Based on the matrix block technique, the Deift-Zhou nonlinear steepest descent method is developed in order to study the asymptotic analysis of solutions of some nonlinear evolution equations associat...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A structure-preserving parametric finite element method (PFEM) for geometric PDEs and applications
几何偏微分方程 结构保持 参数有限元
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2023/4/17
In this talk, I begin with a review of different geometric flows (PDEs) including mean curvature (curve shortening) flow,surface diffusion flow, Willmore flow, etc., which arise from materials science...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A posteriori error estimate for a WG method of H(curl)-elliptic problems
H（卷曲） 椭圆问题 WG方法 后验误差估计
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2023/4/23
In this paper, a posteriori error estimate of a weak Galerkin (WG) finite element method for solving H(curl)-elliptic problems is designed and analyzed. Firstly, a WG method for H(curl)-elliptic probl...
The Technion school lecture notes:the moving plane method,or doing PDEs in a cafe
Technion school lecture notes moving plane method doing PDEs a cafe
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2015/7/14
We will have two main characters in these notes: the maximum principle and the sliding method. The latter has a twin, the moving plane method–they are often so indistinguishable that we will count the...
Bounds on the volume fractions of two materials in a three dimensional body from boundary measurements by the translation method
inverse problems size estimation electrical impedance tomography
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2012/6/19
Using the translation method of Tartar, Murat, Lurie, and Cherkaev bounds are derived on the volume occupied by an inclusion in a three-dimensional conducting body. They assume electrical impedance to...
Thermal modelling for endocardiac radiofrequency ablation: comparison of hyperbolic bioheat equation and Pennes bioheat equation with finite element method
Finite Element Method hyperbolic heat equation Pennes heat equation radiofrequency ablation theoretical model
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2012/4/17
The objectives of this study are to model the endocardiac radiofrequency (RF) ablation procedure and to employ the Hyperbolic Bioheat Equation (HBE), which takes the thermal wave behaviour into accoun...
CK Method And Auto-Backlund Transformation To Find New Exact Solutions Of The (1+1)-Dimensional Variable-Coefficient KdV Equation
CK Method auto-B¨acklund transformation soliton-type solutions
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2011/10/18
In this letter, based on the computerized symbolic computation, we extend the Clarkson and Kruskal (CK) method to search for new soliton-type solutions and auto-B¨acklund transformation of partial dif...
Tikhonov regularization method for a Cauchy problem for the Helmholtz equation in multiple dimensions-----
inverse problems Helmholtz equation Tikhonov regularization error estimate
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2011/10/18
This paper deals with a Cauchy problem for the Helmholtz equa- tion in multiple dimensions.We want to obtain the solution u on the boundary z = 0 from the given function g ontheside z = 1. This proble...
The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval II. Obstacles with a dissipative boundary or finite refractive index and back-scattering data
enclosure method inverse obstacle scattering problem inverse backscattering obstacle wave equation dissipative boundary condition
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2011/9/5
Abstract: In this paper a wave is generated by an initial data whose support is localized at the outside of unknown obstacles and observed in a limited time on a known closed surface or the same posit...
Estimates on Neumann eigenfunctions at the boundary, and the "Method of Particular Solutions" for computing them
Estimates Neumann eigenfunctions Spectral Theory Analysis of PDEs
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2011/9/1
Abstract: We consider the "Method of particular solutions" for numerically computing eigenvalues and eigenfunctions of the Laplacian $\Delta$ on a smooth, bounded domain Omega in RR^n with either Diri...
The heat-balance integral method by a parabolic profile with unspecified exponent: Analysis and Benchmark Exercises
heat-balance integral method heat-conduction parabolic profile
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2011/1/20
The heat-bal ance in te gral method of Good man has been thor oughly an a lyzed in the case of a par a bolic pro file with un spec i fied ex po nent de pend ing on the bound ary con di tion im posed. ...
Research Note on a Parabolic Heat-Balance Integral Method with Unspecified Exponent: An Entropy Generation Approach in Optimal Profile Determination
Research Note on a Parabolic Heat-Balance Integral Method Unspecified Exponent Entropy Generation Optimal Profile Determination
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2011/1/20
The heat-bal ance in te gral method of Good man is stud ied with two sim ple 1-D heat con duc tion prob lems with pre scribed tem per a ture and flux bound ary con di tions.These clas si cal prob lems...
Spline element method for the Monge-Ampere equation
Spline element Monge-Ampere equation
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2011/1/19
We consider numerical approximations of the Monge-Ampere equation det D2u = f; f > 0 with Dirichlet boundary conditions on a convex bounded domain in Rn; n = 2; 3. We make a comparative study of thr...
Energy stable and momentum conserving interface stabilised finite element method for the incompressible Navier-Stokes equations
Finite element method stabilised finite element methods
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2011/3/3
An interface stabilised finite element method for the incompressible Navier-Stokes
equations is presented. The method inherits the attractive stabilising mechanism of upwinded discon-tinuous Galerkin...
New exact multi line soliton and periodic solutions with constant asymptotic values at infinity of the NVN integrable nonlinear evolution equation via dibar-dressing method
exact multi line soliton nonlinear evolution equation periodic solutions
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2010/4/6
The classes of exact multi line soliton, periodic solutions and solutions with functional parameters, with constant asymptotic values at infinity u|_{xi^2+eta^2->infty}->-epsilon, for the hyperbolic a...