{"product_id":"9783031833977","title":"New Trends in the Applications of Differential Equations in Sciences : NTADES 2024, Saints Constantine and Helena, Bulgaria, July 7-10 (Springer Proceedings in Mathematics \u0026 Statistics 488) (2025. x, 529 S. X, 529 p. 74 illus., 55 illus. in color. 235 mm)","description":"\u003cp\u003eThis volume compiles selected papers focusing on the applications of differential equations across various scientific domains, presented at the International Conference \"New Trends in the Applications of Differential Equations in Sciences\" (NTADES), which took place in Saints Constantine and Helena, Bulgaria, in July 2024.\u003c\/p\u003e\u003cp\u003eThe book is organized around several key themes, including applications in mathematical physics, mathematical biology, financial mathematics, fractional analysis, numerical methods, and neuroscience. The covered applications encompass diverse topics such as mechanics, neural networks in insurance, credit portfolios, predator-prey systems with fractional derivatives, recent findings regarding COVID-19 epidemic waves, memristive cellular nonlinear networks, and more.\u003c\/p\u003e\u003cp\u003eBy promoting fundamental research in mathematics, this book aims to develop new methods and techniques that can effectively address real-life challenges through the application of differential equations.\u003c\/p\u003e \u003cp\u003e\u003cstrong\u003ePart1.Applications in Mathematical Physics.- \u003c\/strong\u003eGround states of Schrödinger-Poisson-Slater equations with linear non-local  terms\u003cstrong\u003e.- \u003c\/strong\u003eInterpolation of Sobolev spaces for Laplace operator with contact interaction\u003cstrong\u003e.-\u003c\/strong\u003eExact travelling wave solutions to several fully nonlinear PDE and radial solutions of boundary value problem to the Liouville equation in circular domains in the plane\u003cstrong\u003e.- \u003c\/strong\u003eRecent developments in the methodology of the Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear differential equations\u003cstrong\u003e.- \u003c\/strong\u003eForward stability conditions and applications\u003cstrong\u003e.- \u003c\/strong\u003eExact solutions of the Troesch's problem\u003cstrong\u003e.- \u003c\/strong\u003ePavlina Atanasova, Valentin Georgiev, On the special cases of the Jacobi elliptic function solutions of the (2+1)-dimensional Sine-Gordon equation\u003cstrong\u003e.- \u003c\/strong\u003eAn application of the method of simplest equation for exact real solutions of the model for spatial - time interaction of populations\u003cstrong\u003e.- \u003c\/strong\u003eA characterization of the K-functional for the algebraic version of the trigonometric Jackson integrals Gs,n in generalized weighted integral metric\u003cstrong\u003e.- \u003c\/strong\u003eMixed semicontinuous fully nonlinear evolution inclusions\u003cstrong\u003e.- \u003c\/strong\u003eNonlinear waves in the diffusion-advection-reaction model of interacting populations incorporating nonlocal effects and long range diffusion\u003cstrong\u003e.- \u003c\/strong\u003ePhysic informed neural networks for solving nonstandard initial-boundary value problem for second order hyperbolic equation\u003cstrong\u003e.- \u003c\/strong\u003eApproximate solution of the optimal control problem with the Hukuhara derivative equation with rapidly fluctuating coefficients on a finite interval\u003cstrong\u003e.- \u003c\/strong\u003eTravelling wave solutions of the Wu-Zhang system of PDE\u003cstrong\u003e.- \u003c\/strong\u003ePhysics informed neural networks for solving predator-prey models\u003cstrong\u003e.- Part2. Applications in Mechanics.- \u003c\/strong\u003eOn nonlinear waves in microtubules generated by means of a linear simple equation\u003cstrong\u003e.- \u003c\/strong\u003eOn a mathematical model describing pollution processes in a channel\u003cstrong\u003e.- \u003c\/strong\u003eOn nonlinear waves in microtubules generated by means of simple equation of Bernoulli kind\u003cstrong\u003e.- \u003c\/strong\u003eAnalysis of non-periodic buckling in an axisymmetric thin uniform shell\u003cstrong\u003e.- \u003c\/strong\u003eOn nonlinear waves in microtubules\u003cstrong\u003e.- \u003c\/strong\u003eAn education facility for design and mathematical modeling of 4 bar linkage mechanism\u003cstrong\u003e.- Part3. Applications in Numerical Methods and Computer Science.- \u003c\/strong\u003eAn improved interpolation error estimate from a new Taylor-like formula: Application to finite element method\u003cstrong\u003e.- \u003c\/strong\u003eMixed finite element method applied to sixth-order eigenvalue problem\u003cstrong\u003e.- \u003c\/strong\u003eAdvanced unbiased Monte Carlo for multidimensional Fredholm integral equations\u003cstrong\u003e.- \u003c\/strong\u003eNovel stochastic sequences for multidimensional air pollution modelling\u003cstrong\u003e.- \u003c\/strong\u003eAdvanced stochastic method for linear algebraic systems\u003cstrong\u003e.- \u003c\/strong\u003eStochastic approaches for the mutidimensional Volterra integral equation\u003cstrong\u003e.- \u003c\/strong\u003eNumerical analysis of a difference scheme family for solving semilinear hyperbolic PDEs\u003cstrong\u003e.- \u003c\/strong\u003eNumerical solution of switched systems with delay\u003cstrong\u003e.- Part4. Applications in Financial Mathematics.- \u003c\/strong\u003eMulticriteria optimization approach for investment project financing evaluation and decision making\u003cstrong\u003e.- \u003c\/strong\u003eApplication of weighted t-tests for loss-given-default forecasts validation\u003cstrong\u003e.- \u003c\/strong\u003eA comparison of deep neural network and convolutional neural network for credit card fraud detection\u003cstrong\u003e.- \u003c\/strong\u003eStudying the dependency between household income and consumption of basic food commodities in Bulgaria\u003cstrong\u003e.- \u003c\/strong\u003e\u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eAngela Slavova\u003c\/strong\u003e graduated from the University of Ruse, Bulgaria, with a degree in Computer Engineering and obtained her Master's degree in 1986. From 1992 to 1993, she was awarded a Fulbright Scholarship at the Florida Institute of Technology, Florida, USA. She earned her PhD in Mathematics in 1994. Since 2004, Professor Slavova has served as the Head of the Department of Mathematical Physics at the Institute of Mathematics, Bulgarian Academy of Sciences. Since 2023, she has held the position of Full Professor at the Institute of Mechanics, Bulgarian Academy of Sciences.\u003c\/p\u003e","brand":"SPRINGER, BERLIN; SPRINGER NATURE SWITZERLAND; SPRING","offers":[{"title":"Default Title","offer_id":48865578352875,"sku":"00000_00000_00000_00000","price":604.27,"currency_code":"SGD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0758\/4484\/5803\/files\/9783031833977-1.jpg?v=1781717836","url":"https:\/\/kinokuniya.com.sg\/products\/9783031833977","provider":"Books Kinokuniya Singapore","version":"1.0","type":"link"}