{"title":"An alternative method for the numerical solution of the integrodifferential heat-conduction equation","authors":"E.N. Baidakov, G.N. Kuvyrkin","doi":"10.1016/0041-5553(90)90016-L","DOIUrl":"10.1016/0041-5553(90)90016-L","url":null,"abstract":"<div><p>An algorithm is developed using the finite-element method for calculating the temperature field in a bounded domain allowing for the finite rate of propagation of heat during pulsed surface heating. An accumulating finite element mesh is used in order to remove the oscillations in the solution behind the temperature wave front. An investigation of the error in the calculations enables a rational approach to be taken to the choice of parameters in the integration scheme. Calculations of the propagation and reflection of the temperature waves due to pulsed surface charging are presented.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 118-122"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90016-L","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84142758","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Localized compression regimes in a heat-conducting gas","authors":"V.V. Gudkov, A.P. Mikhailov, V.V. Stepanova","doi":"10.1016/0041-5553(90)90088-A","DOIUrl":"10.1016/0041-5553(90)90088-A","url":null,"abstract":"<div><p>The effect of limiting regimes with peaking on a compressible sphere with thermal conductivity <em>χ</em> = <em>χ</em><sub>0</sub><em>ρ</em><sup><em>α</em></sup><em>T</em><sup><em>β</em></sup>, <em>β</em> > 0, is examined. The investigation is carried out for selfsimilar solutions of the power type. Conditions are established for shockless supercompression of the material and joint localization of the thermal and gas-dynamic processes, which depend on the thermophysical properties of the medium and the limiting law. The phenomena are also investigated numerically.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 130-138"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90088-A","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90575549","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A method of generating an interpolating curve with piecewise sign-constant curvature","authors":"V.L. Murashko, I.L. Osipov","doi":"10.1016/0041-5553(90)90211-A","DOIUrl":"10.1016/0041-5553(90)90211-A","url":null,"abstract":"<div><p>A method of interpolating a function of one variable whose values and first derivatives are fixed at the end-points of an interval is described. The solution of the problem is a one-parameter family of second-order curves. An example of the application of the method to the global construction of an interpolating curve is given.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 212-214"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90211-A","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73775260","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An unsaturated method for the discretization of systems of linear differential equations unsolved with respect to derivatives","authors":"P.N. Denisenko","doi":"10.1016/0041-5553(90)90166-P","DOIUrl":"10.1016/0041-5553(90)90166-P","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 100-106"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90166-P","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79015067","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Chebyshev acceleration of the schwarz alternation process","authors":"S.A. Sander","doi":"10.1016/0041-5553(90)90077-6","DOIUrl":"10.1016/0041-5553(90)90077-6","url":null,"abstract":"<div><p>Chebyshev acceleration of a difference analogue of the Schwarz alternation process is considered. Estimates for the rate of convergence, in the <em>W</em><sub>2<em>h</em></sub><sup>1</sup> norm, are presented.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 62-67"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90077-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77243136","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Diffraction by a strip parallel to the surface of a compressible stratified liquid","authors":"R.R. Gabdullin","doi":"10.1016/0041-5553(90)90159-P","DOIUrl":"10.1016/0041-5553(90)90159-P","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 35-41"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90159-P","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84844951","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A numerical-asymptotic multicomponent averaging method for equations with contrasting coefficients","authors":"G.P. Panasenko","doi":"10.1016/0041-5553(90)90027-P","DOIUrl":"10.1016/0041-5553(90)90027-P","url":null,"abstract":"<div><p>A new numerical-asymptotic method is proposed for constructing asymptotic solutions of equations that describe processes in strongly nonhomogeneous periodic media.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 1","pages":"Pages 178-186"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90027-P","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88792924","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Decomposition in extremal problems of special structure","authors":"I.S. Litvinchev","doi":"10.1016/0041-5553(90)90041-P","DOIUrl":"10.1016/0041-5553(90)90041-P","url":null,"abstract":"<div><p>A decomposition method based on aggregated macrovariables is proposed for optimization problems in which some of the constraints have a special structure — block, block-separable, or blocks with coupling variables. A number of standard decomposition methods are derived in the proposed framework. Problems with known bounds on the coupling variables are considered.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 32-38"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90041-P","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85670820","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On an inertial flow","authors":"Yu.D. Shmyglevskii","doi":"10.1016/0041-5553(90)90126-D","DOIUrl":"10.1016/0041-5553(90)90126-D","url":null,"abstract":"<div><p>An example of a steady axisymmetric flow of an incompressible fluid, with a non-zero peripheral velocity component and straight streamlines, is constructed.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 6","pages":"Pages 167-168"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90126-D","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"99282866","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fundamental solutions and Green's formulae for families of equations arising in the theory of the oscillations of a stratified viscous liquid","authors":"A.G. Sveshnikov, S.T. Simakov","doi":"10.1016/0041-5553(90)90174-Q","DOIUrl":"10.1016/0041-5553(90)90174-Q","url":null,"abstract":"","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 5","pages":"Pages 159-167"},"PeriodicalIF":0.0,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90174-Q","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83641631","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}