Raimonds Vilums

Raimonds Vilums
CENOS

PhD in Applied Mathematics

About

16
Publications
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47
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Introduction
PhD in Applied Mathematics. Two decades of solid experience in software development and implementation of algorithms. Now, CTO and co-founder of CENOS, engineering simulation software. Enjoys things that are nice, functional and usable at the same time, and makes them happen.

Publications

Publications (16)
Presentation
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In this presentation we list features and benefits of induction heating; describe main applications; obstacles and solutions of induction heating; advantages and disadvantages of computer simulation vs physical testing; what should be taken into account when choosing the right simulation software. Induction heating is an efficient way to quickly he...
Presentation
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There's an opinion that simulation of real induction cases takes too much time. Our opinion - it depends on optimization. We're sharing our experience on how to optimize simulation time of 3D induction heating tasks.
Article
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The paper describes simulation of induction heating process of ferromagnetic steel, when a full non-linear model is used: a temperature dependent B-H curve is taken into account. The full B(H,T) model is essential to obtain accurate results, which are confirmed by experimental validation. The paper also points out sensitivity of the model to slight...
Article
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In this paper we develop mathematical models for 3-D, 2-D and one-dimensional hyperbolic heat equations (wave equation or telegraph equation) and construct their analytical solutions for the determination of the initial heat flux for rectangular samples. In some cases we give expression of wave energy. Some solutions of time inverse problems are ob...
Article
Full-text available
In this paper we develop mathematical models for 3-D, 2-D and one-dimensional hyperbolic heat equations (wave equation or telegraph equation) and construct their analytical solutions for the determination of the initial heat flux for rectangular samples. In some cases we give expression of wave energy. Some solutions of time inverse problems are ob...
Research
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Abstracts of Int. Conf. Mathematical Modelling and Analysis. June 4-7, 2008, Tartu, Estonia.
Research
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WSEAS Transactions on Heat and Mass Transfer, Issue 4, Volume 1, April 2006.
Research
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Abstracts of the International Conference Mathematical Modelling and Analysis, May 30-June 2, 2007, Trakai, Lithuania.
Research
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Abstracts of the International Conference Mathematical Modelling and Analysis, May 30-June 2, 2007, Trakai, Lithuania.
Conference Paper
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In this paper we develop mathematical models for 1-D hyperbolic heat equations (wave equation or telegraph equation) and construct their analytical solutions for the determination of the initial heat flux for rectangular sample. In some cases we give expression of wave energy. Some solutions of time inverse problems are obtained in the form of 1 st...
Article
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About 30 yaers ago A. Buikis defined anew class of splines:the integral splines.
Conference Paper
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Cylindrical mathematical model of automotive fuse is considered in this paper. Initially, partial differential equations of the transient heat conduction are given to describe heat-up process in the fuse. Conservative averaging method is used to obtain analytical approximation of these equations by the system of ordinary differential equations. Num...
Article
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Three-dimensional mathematical model of the automotive fuse is considered in this paper. Initially, partial differential equations of the transient heat conduction are given to describe heat-up process in the fuse. Conservative averaging method is used to obtain analytical approximation of these equations by the system of three ordinary differentia...
Article
Full-text available
Three-dimensional mathematical model of the automotive fuse is considered in this paper. Initially, partial differential equations of the transient heat conduction are given to describe heat-up process in the fuse. Original method of conservative averaging is used to analytically approximate these equations with system of three ordinary differentia...
Article
Full-text available
In this paper the description of the method of conservative averaging for partial differential equations in two-layer domain is given. As numerical example the non-linear heat conduction in electrical wire with insulation is considered. This problem is solved numerically.