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pro vyhledávání: '"Jakobsen, Per Kristen"'
In this paper, we solve a North-type Energy Balance Model (EBM) using an analytical method, the Boundary Integral Method. This approach is discussed in light of existing analytical techniques for this type of equation. We use the method to demonstrat
Externí odkaz:
http://arxiv.org/abs/2312.09032
A wavepacket (electromagnetic or otherwise) within an isotropic and homogeneous space can be quantized on a regular lattice of discrete k-vectors. Each k-vector is associated with a temporal frequency omega; together, k and omega represent a propagat
Externí odkaz:
http://arxiv.org/abs/2311.01970
Autor:
Juhasz, David, Jakobsen, Per Kristen
In this paper we study dispersive wave equation using the method of multiple scales (MMS) and perform several numerical tests to investigate its accuracy. The key feature of our MMS solution is the linearity of the amplitude equation and the complex
Externí odkaz:
http://arxiv.org/abs/2103.14437
Autor:
Jakobsen, Per Kristen
The selection of topics in this text has formed the core of a one semester course in applied mathematics at the Arctic University of Norway that has been running continuously since the 1970s. The class has, during its existence, drawn participants fr
Externí odkaz:
http://arxiv.org/abs/1904.07702
Autor:
Juhasz, David, Jakobsen, Per Kristen
In this paper we introduce a method for creating a transparent computational boundary for the simulation of unidirectional propagation of optical beams and pulses using leaky modes. The key element of the method is the introduction of an artificial-i
Externí odkaz:
http://arxiv.org/abs/1904.00834
Autor:
Jakobsen, Per Kristen
The field of partial differential equations (PDEs) is vast in size and diversity. The basic reason for this is that essentially all fundamental laws of physics are formulated in terms of PDEs. In addition, approximations to these fundamental laws, th
Externí odkaz:
http://arxiv.org/abs/1901.03022
Autor:
Lin, Aihua, Jakobsen, Per Kristen
In this paper we discuss some of the mathematical and numerical issues that have to be addressed when calculating wave scattering using the EOS approach. The discussion is framed in context of light scattering by objects whose optical response can be
Externí odkaz:
http://arxiv.org/abs/1812.05136
Akademický článek
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Autor:
Lin, Aihua, Jakobsen, Per Kristen
In this paper we explore the possibility for solving the 3D Maxwell's equations in the presence of nonlinear and/or inhomogeneous material response. We propose using a hybrid approach which combines a bound- ary integral representation with a domain-
Externí odkaz:
http://arxiv.org/abs/1810.12221
In this paper we introduce a method for solving linear and nonlinear scattering problems for wave equations using a new hybrid approach. This new approach consists of a reformulation of the governing equations into a form that can be solved by a comb
Externí odkaz:
http://arxiv.org/abs/1807.01142