Relevant bibliographies by topics / Non-solvable system of equations

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Non-solvable system of equations'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Non-solvable system of equations"

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KARA, MERVE, and YASIN YAZLIK. "ON A SOLVABLE SYSTEM OF NON-LINEAR DIFFERENCE EQUATIONS WITH VARIABLE COEFFICIENTS." Journal of Science and Arts 21, no. 1 (2021): 145–62. http://dx.doi.org/10.46939/j.sci.arts-21.1-a13.

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In this paper, we show that the system of difference equations can be solved in the closed form. Also, we determine the forbidden set of the initial values by using the obtained formulas. Finally, we obtain periodic solutions of aforementioned system.
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Stević, Stevo, Bratislav Iricanin, and Witold Kosmala. "Symmetric nonlinear solvable system of difference equations." Electronic Journal of Qualitative Theory of Differential Equations, no. 49 (2024): 1–16. http://dx.doi.org/10.14232/ejqtde.2024.1.49.

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We show the theoretical solvability of the system of difference equations x n + k = y n + l y n − c d y n + l + y n − c − d , y n + k = x n + l x n − c d x n + l + x n − c − d , n ∈ N 0 , where k ∈ N , l ∈ N 0 , l < k , c , d ∈ C and x j , y j ∈ C , j = 0 , k − 1 ¯ . For several special cases of the system, we give some detailed explanations on how some formulas for their general solutions can be found in closed form, that is, we show their practical solvability. To do this, among other things, we use the theory of homogeneous linear difference equations with constant coefficients and the p
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Bombelli, L., W. E. Couch, and R. J. Torrence. "Solvable systems of wave equations and non-Abelian Toda lattices." Journal of Physics A: Mathematical and General 25, no. 5 (1992): 1309–27. http://dx.doi.org/10.1088/0305-4470/25/5/032.

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Stanzhytskyi, O. M., R. E. Uteshova, M. Mukash, and V. V. Mogylova. "Application of the method of averaging to boundary value problems for differential equations with non-fixed moments of impulse." Carpathian Mathematical Publications 14, no. 2 (2022): 304–26. http://dx.doi.org/10.15330/cmp.14.2.304-326.

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The method of averaging is applied to study the existence of solutions of boundary value problems for systems of differential equations with non-fixed moments of impulse action. It is shown that if an averaged boundary value problem has a solution, then the original problem is solvable as well. Here the averaged problem for the impulsive system is a simpler problem of ordinary differential equations.
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Stević, Stevo, Josef Diblík, Bratislav Iričanin, and Zdeněk Šmarda. "On a solvable system of rational difference equations." Journal of Difference Equations and Applications 20, no. 5-6 (2013): 811–25. http://dx.doi.org/10.1080/10236198.2013.817573.

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Stević, Stevo. "On a solvable rational system of difference equations." Applied Mathematics and Computation 219, no. 6 (2012): 2896–908. http://dx.doi.org/10.1016/j.amc.2012.09.012.

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Zhu, Changrong. "From homoclinics to quasi-periodic solutions for ordinary differential equations." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 145, no. 5 (2015): 1091–114. http://dx.doi.org/10.1017/s0308210515000189.

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We consider the quasi-periodic solutions bifurcated from a degenerate homoclinic solution. Assume that the unperturbed system has a homoclinic solution and a hyperbolic fixed point. The bifurcation function for the existence of a quasi-periodic solution of the perturbed system is obtained by functional analysis methods. The zeros of the bifurcation function correspond to the existence of the quasi-periodic solution at the non-zero parameter values. Some solvable conditions of the bifurcation equations are investigated. Two examples are given to illustrate the results.
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Kara, Merve, and Yasin Yazlik. "Solvable three-dimensional system of higher-order nonlinear difference equations." Filomat 36, no. 10 (2022): 3449–69. http://dx.doi.org/10.2298/fil2210449k.

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In this work, we indicate three-dimensional system of difference equations xn = ayn?k + dyn?kxn?k?l/?bxn?k?l+?czn?l, yn = ?zn?k + ?zn?kyn?k?l/??yn?k?l + ??xn?l, zn = exn?k + hxn?kzn?k?l/?fzn?k?l +?g?yn?l , n ? N0, where k and l are positive integers, the parameters a,?b, ?c, d, ?, ??, ??, ?, e, ?f ,?g, h and the initial values x?j, y?j, z?j j = ?1,k+l, are non-zero real numbers, can be solved in closed form. In addition, we obtain explicit formulas for the well-defined solutions of the aforementioned system for the case l = 1. Also, the set of undefinable solutions of the system is found. Fina
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Pinar, Zehra. "The symmetry analysis of electrostatic micro-electromechanical system (MEMS)." Modern Physics Letters B 34, no. 18 (2020): 2050199. http://dx.doi.org/10.1142/s0217984920501997.

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The model of electrostatic Micro-Electromechanical System (MEMS) is considered without/with an external pressure. The model represents nonlinear elliptic or parabolic problem due to the steady or non-steady state problem, respectively. To obtain exact solutions in an explicit form, the symmetry analysis is considered. With symmetries, the transformations are obtained and by means of these transformations, solvable equations are hold. The obtained results have a major role in the literature so that the considered equation is seen in a large-scale applications.
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Tarasov, Vasily E. "General Non-Markovian Quantum Dynamics." Entropy 23, no. 8 (2021): 1006. http://dx.doi.org/10.3390/e23081006.

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A general approach to the construction of non-Markovian quantum theory is proposed. Non-Markovian equations for quantum observables and states are suggested by using general fractional calculus. In the proposed approach, the non-locality in time is represented by operator kernels of the Sonin type. A wide class of the exactly solvable models of non-Markovian quantum dynamics is suggested. These models describe open (non-Hamiltonian) quantum systems with general form of nonlocality in time. To describe these systems, the Lindblad equations for quantum observable and states are generalized by ta
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Dissertations / Theses on the topic "Non-solvable system of equations"

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Lee, Hwasung. "Strominger's system on non-Kähler hermitian manifolds." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:d3956c4f-c262-4bbf-8451-8dac35f6abef.

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In this thesis, we investigate the Strominger system on non-Kähler manifolds. We will present a natural generalization of the Strominger system for non-Kähler hermitian manifolds M with c₁(M) = 0. These manifolds are more general than balanced hermitian manifolds with holomorphically trivial canonical bundles. We will then consider explicit examples when M can be realized as a principal torus fibration over a Kähler surface S. We will solve the Strominger system on such construction which also includes manifolds of topology (k−1)(S²×S⁴)#k(S³×S³). We will investigate the anomaly cancellation co
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Voldman, Aleksandr. "Topological classification of non-degenerate quadratic system." CSUSB ScholarWorks, 1996. https://scholarworks.lib.csusb.edu/etd-project/1192.

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Chow, Tanya L. M., of Western Sydney Macarthur University, and Faculty of Business and Technology. "Systems of partial differential equations and group methods." THESIS_FBT_XXX_Chow_T.xml, 1996. http://handle.uws.edu.au:8081/1959.7/43.

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This thesis is concerned with the derivation of similarity solutions for one-dimensional coupled systems of reaction - diffusion equations, a semi-linear system and a one-dimensional tripled system. The first area of research in this thesis involves a coupled system of diffusion equations for the existence of two distinct families of diffusion paths. Constructing one-parameter transformation groups preserving the invariance of this system of equations enables similarity solutions for this coupled system to be derived via the classical and non-classical procedures. This system of equation is th
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Ikeda, Tatsushi. "Quantum Hierarchical Fokker-Planck and Smoluchowski Equations: Application to Non-Adiabatic Transition and Non-Linear Optical Response." Kyoto University, 2019. http://hdl.handle.net/2433/242623.

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Post, Katharina. "A System of Non-linear Partial Differential Equations Modeling Chemotaxis with Sensitivity Functions." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 1999. http://dx.doi.org/10.18452/14365.

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Wir betrachten ein System nichtlinearer parabolischer partieller Differentialgleichungen zur Modellierung des biologischen Phänomens Chemotaxis, das unter anderem in Aggregationsprozessen in Lebenszyklen bestimmter Einzeller eine wichtige Rolle spielt. Unser Chemotaxismodell benutzt Sensitivitäts funktionen, die die vorkommenden biologischen Prozesse genauer spezifizieren. Trotz der durch die Sensitivitätsfunktionen eingebrachten, zusätzlichen Nichtlinearitäten in den Gleichungen erhalten wir zeitlich globale Existenz von Lösungen für verschiedene biologisch realistische Klassen von Sensitiv
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Di, Cosmo Jonathan. "Nonlinear Schrödinger equation and Schrödinger-Poisson system in the semiclassical limit." Doctoral thesis, Universite Libre de Bruxelles, 2011. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209863.

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The nonlinear Schrödinger equation appears in different fields of physics, for example in the theory of Bose-Einstein condensates or in wave propagation models. From a mathematical point of view, the study of this equation is interesting and delicate, notably because it can have a very rich set of solutions with various behaviours.<p><p>In this thesis, we have been interested in standing waves, which satisfy an elliptic partial differential equation. When this equation is seen as a singularly perturbed problem, its solutions concentrate, in the sense that they converge uniformly to zero outsid
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Svedberg, Christopher. "Future stability of the Einstein-Maxwell-Scalar field system and non-linear wave equations coupled to generalized massive-massless Vlasov equations." Doctoral thesis, KTH, Matematik (Avd.), 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-93891.

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This thesis consists of two articles related to mathematical relativity theory. In the first article we prove future stability of certain spatially homogeneous solutionsto Einstein’s field equations. The matter model is assumed to consist of an electromagnetic field and a scalar field with a potential creating an accelerated expansion. Beside this, more general properties concerning Einstein’s field equation coupled to a scalar field and an electromagnetic field are settled. The most important of these questions are the existence of a maximal globally hyperbolic development and the Cauchy stab
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Talib, Ahmed Abedelhussain. "Optimal system of subalgebras and invariant solutions for a nonlinear wave equation." Thesis, Blekinge Tekniska Högskola, Sektionen för ingenjörsvetenskap, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-2675.

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This thesis is devoted to use Lie group analysis to obtain all invariant solutions by constructing optimal system of one-dimensional subalgebras of the Lie algebra L5 for a nonlinear wave equation. I will show how the given symmetries ( Eq.2) are admitted by using partial differential equation (Eq.1), In addition to obtain the commutator table by using the same given symmetries. Subsequently, I calculate the transformations of the generators with the Lie algebra L5, which provide the 5-parameter group of linear transformations for the operators. Finally, I construct the invariant solutions for
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Leto, Jonathan. "SOLITARY WAVE FAMILIES IN TWO NON-INTEGRABLE MODELS USING REVERSIBLE SYSTEMS THEORY." Master's thesis, University of Central Florida, 2008. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/3504.

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In this thesis, we apply a recently developed technique to comprehensively categorize all possible families of solitary wave solutions in two models of topical interest. The models considered are: a) the Generalized Pochhammer-Chree Equations, which govern the propagation of longitudinal waves in elastic rods, and b) a generalized microstructure PDE. Limited analytic results exist for the occurrence of one family of solitary wave solutions for each of these equations. Since, as mentioned above, solitary wave solutions often play a central role in the long-time evolution of an initial disturban
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Chow, Tanya L. M. "Systems of partial differential equations and group methods." Thesis, [Campbelltown, N.S.W. : The Author], 1996. http://handle.uws.edu.au:8081/1959.7/43.

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This thesis is concerned with the derivation of similarity solutions for one-dimensional coupled systems of reaction - diffusion equations, a semi-linear system and a one-dimensional tripled system. The first area of research in this thesis involves a coupled system of diffusion equations for the existence of two distinct families of diffusion paths. Constructing one-parameter transformation groups preserving the invariance of this system of equations enables similarity solutions for this coupled system to be derived via the classical and non-classical procedures. This system of equation is th
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Books on the topic "Non-solvable system of equations"

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Vidyasagar, M. Non-linear systems analysis. 2nd ed. Prentice-Hall International (UK), 1993.

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Kaikko, Juha. Performance prediction of gas turbines by solving a system of non-linear equations. Lappeenranta University of Technology, 1998.

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Burns, John. On non-convergence of adjoint semigroups for control systems with delays. ICASE, 1987.

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Burns, John. On non-convergence of adjoint semigroups for control systems with delays. National Aeronautics and Space Administration, Langley Research Center, 1987.

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Burns, John. On non-convergence of adjoint semigroups for control systems with delays. National Aeronautics and Space Administration, Langley Research Center, 1987.

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Verhulst, Ferdinand. Nonlinear differential equations and dynamical systems. Springer-Verlag, 1990.

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Kikuchi, Tetsuya. Studies on commuting difference systems arising from solvable lattice models. Tohoku University, 2000.

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Grusa, Karl-Ulrich. Mathematical analysis of nonlinear dynamic processes: An introduction to processes governed by partial differential equations. Longman Scientific & Technical, 1988.

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V, Uspenskiĭ S., ed. Partial differential equations and systems not solvable with respect to the highest-order derivative. Marcel Dekker, 2003.

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Braga da Costa Campos, Luis Manuel. Non-Linear Differential Equations and Dynamical Systems. Edited by L. M. B. C. Campos. CRC Press, 2019. http://dx.doi.org/10.1201/9780429028991.

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Book chapters on the topic "Non-solvable system of equations"

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Kim, Tujin, and Daomin Cao. "The Non-steady Boussinesq System." In Equations of Motion for Incompressible Viscous Fluids. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-78659-5_8.

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Kim, Tujin, and Daomin Cao. "The Non-steady Navier-Stokes System." In Equations of Motion for Incompressible Viscous Fluids. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-78659-5_4.

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Winkler, Henrik, and Harald Woracek. "Reparametrizations of Non Trace-normed Hamiltonians." In Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0297-0_40.

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Kavallaris, Nikos I., and Takashi Suzuki. "Gierer–Meinhardt System." In Non-Local Partial Differential Equations for Engineering and Biology. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-67944-0_5.

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Horgmo Jæger, Karoline, and Aslak Tveito. "Re-Introducing the Cell: The Extracellular-Membrane-Intracellular (EMI) Model." In Differential Equations for Studies in Computational Electrophysiology. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-30852-9_11.

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AbstractAs mentioned earlier, the bidomain system is currently the standard mathematical model of cardiac electrophysiology. This system is nowroutinely solved and provides valuable insights into the conduction of electrical signals in cardiac tissue. However, the model has one glaring limitation: The cardiomyocyte is nowhere to be found in the model, since the extracellular space, the intracellular space and the cell membrane are all assumed to be everywhere in the computational domain. The cell was lost in homogenization! There is a tremendous advantage to this because the model becomes much
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Colombo, Maria. "The semigeostrophic system." In Flows of Non-smooth Vector Fields and Degenerate Elliptic Equations. Scuola Normale Superiore, 2017. http://dx.doi.org/10.1007/978-88-7642-607-0_9.

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Bagarello, Fabio, and Miloslav Znojil. "The Dynamical Problem for a Non Self-adjoint Hamiltonian." In Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0297-0_6.

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Colombo, Maria. "The Vlasov-Poisson system." In Flows of Non-smooth Vector Fields and Degenerate Elliptic Equations. Scuola Normale Superiore, 2017. http://dx.doi.org/10.1007/978-88-7642-607-0_8.

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Hanzon, Bernard, and Finbarr Holland. "Non-negativity Analysis for Exponential-Polynomial-Trigonometric Functions on [0,∞)." In Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0297-0_21.

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Bart, Harm, Torsten Ehrhardt, and Bernd Silbermann. "Families of Homomorphisms in Non-commutative Gelfand Theory: Comparisons and Examples." In Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0297-0_8.

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Conference papers on the topic "Non-solvable system of equations"

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Allan, Douglas A., Anca Ostace, Andrew Lee, et al. "Jacobian-based Model Diagnostics and Application to Equation Oriented Modeling of a Carbon Capture System." In Foundations of Computer-Aided Process Design. PSE Press, 2024. http://dx.doi.org/10.69997/sct.160262.

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Equation-oriented (EO) modeling has the potential to enable the effective design and optimization of the operation of advanced energy systems. However, advanced modeling of energy systems results in a large number of variables and non-linear equations, and it can be difficult to search through these to identify the culprit(s) responsible for convergence issues. The Institute for the Design of Advanced Energy Systems Integrated Platform (IDAES-IP) contains a tool to identify poorly scaled constraints and variables by searching for rows and columns of the Jacobian matrix with small L2-norms so t
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Elperin, Tov, Andrew Fominykh, and Boris Krasovitov. "Simultaneous Heat and Mass Transfer During Evaporation/Condensation on the Surface of a Stagnant Droplet in the Presence of Inert Admixtures Containing Non-Condensable Solvable Gas." In ASME 2005 Summer Heat Transfer Conference collocated with the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems. ASMEDC, 2005. http://dx.doi.org/10.1115/ht2005-72493.

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In this study we investigated numerically simultaneous heat and mass transfer during evaporation/condensation on the surface of a stagnant droplet in the presence of inert admixtures containing non-condensable solvable gas. The performed analysis is pertinent to slow droplet evaporation/condensation when Mach number is small (M≪1). The system of transient conjugate nonlinear energy and mass conservation equations was solved using anelastic approximation. Transport coefficients of the gaseous phase were calculated as functions of temperature and concentrations of gaseous species. Thermophysical
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Elperin, Tov, Andrew Fominykh, and Boris Krasovitov. "Modeling of Simultaneous Gas Absorption and Evaporation of Large Droplet." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-79924.

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In this study we investigated numerically simultaneous heat and mass transfer during evaporation/condensation on the surface of a stagnant droplet in the presence of inert admixtures containing non-condensable solvable gas. The performed analysis is pertinent to slow droplet evaporation/condensation when Mach number is small (M≪1). The system of transient conjugate nonlinear energy and mass conservation equations was solved using anelastic approximation. Transport coefficients of the gaseous phase were calculated as functions of temperature and concentrations of gaseous species. Thermophysical
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Brill, Michael H. "Direct linear transformation methods of triangulating from optical and SAR images." In OSA Annual Meeting. Optica Publishing Group, 1986. http://dx.doi.org/10.1364/oam.1986.fq9.

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Given an optical photograph with images of six control points (whose three-space coordinates are known), and the two image coordinates of an unknown ground point, it is possible to determine the equation of the line of sight from the camera station to the unknown point via a direct linear transformation (DLT) approach.1 To do this requires writing the projective equations for the control points in a form that is linear in the unknowns containing camera position, orientation, and (assumed affine) film distortions. These equations are written so each image coordinate of each control point appear
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Young, Robin. "The p-system II: The vacuum." In Evolution Equations Propagation Phenomena - Global Existence - Influence of Non-Linearities. Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc60-0-19.

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Chen, Shuxing. "Formation and development of global shock for p-system." In Evolution Equations Propagation Phenomena - Global Existence - Influence of Non-Linearities. Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc60-0-14.

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Pawłow, Irena, and Antoni Żochowski. "Existence and uniqueness for the three-dimensional thermoelasticity system in shape memory problems." In Evolution Equations Propagation Phenomena - Global Existence - Influence of Non-Linearities. Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc60-0-25.

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Dhingra, A. K., A. N. Almadi, and D. Kohli. "A Framework for Closed-Form Displacement Analysis of 10-Link 1-DOF Mechanisms." In ASME 1998 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/detc98/mech-5885.

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Abstract This paper presents a closed-form approach, based on the theory of resultants, to the displacement analysis problem of planar 10-link 1-DOF mechanisms. Since each 10-link mechanism has 4 independent loops, its displacement analysis problem can be written as a system of 4 reduced loop-closure equations in 4 unknowns. This system of 4 reduced loop closure equations, for all non-trivial mechanisms resulting from 230 10-link kinematic chains, can be classified into 22 distinct structures. Using the successive and repeated elimination procedures presented herein, it is shown how each of th
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PETZELTOVÁ, H. "CONVERGENCE OF SOLUTIONS OF A NON-LOCAL PHASE-FIELD SYSTEM WITH MEMORY." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0110.

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Joshi, Gopesh, and M. Bala Krishna. "Solving system of non-linear equations using Genetic Algorithm." In 2014 International Conference on Advances in Computing, Communications and Informatics (ICACCI). IEEE, 2014. http://dx.doi.org/10.1109/icacci.2014.6968423.

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Reports on the topic "Non-solvable system of equations"

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McDougall, Robert. A New Regional Household Demand System for GTAP. GTAP Working Paper, 2000. http://dx.doi.org/10.21642/gtap.wp14.

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The GTAP final demand system has some known defects: the computation of the equivalent variation is not exact; with non-standard demand parameters, the equivalent variation may be grossly in error; the decomposition of the equivalent variation contains a nuisance term. We find a further defect, that the upper-level demand equations are invalid. We revise the model to remove these defects.
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McDougall, Robert. A New Regional Household Demand System for GTAP. GTAP Technical Paper, 2002. http://dx.doi.org/10.21642/gtap.tp20.

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The GTAP model, versions 4.1 and lower, suffers from some defects in the implementation of the regional household demand system. Most seriously, the upper level of the demand system assumes that each regional household faces a fixed price for utility from private consumption. But with a private consumption demand system of the CDE form, the price of utility from private consumption depends on the level of private consumption expenditure. With no fixed price for utility from private consumption, the familiar Cobb-Douglas demand system does not apply. Accordingly, the upper-level demand equation
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Peterson, Warren. PR-663-19600-Z01 Develop Guidance for Calculation of HCDP in Pipelines. Pipeline Research Council International, Inc. (PRCI), 2020. http://dx.doi.org/10.55274/r0011659.

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To maintain the integrity and reliability of natural gas transportation systems, system operators ensure that products in transit remain in the gas phase under foreseeable operating conditions. Compliance with pipeline hydrocarbon dew point (HCDP) specifications are demonstrated though in-situ testing or predictive models based on Equations of State (EOS) calculations. Numerical prediction of HCDP is a product of contributing elements, including gas chromatography, calibration gas quality, thermophysical science and the experimental data that underpins equations of state. Some hydrocarbon mixt
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Pasupuleti, Murali Krishna. Mathematical Modeling for Machine Learning: Theory, Simulation, and Scientific Computing. National Education Services, 2025. https://doi.org/10.62311/nesx/rriv125.

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Abstract Mathematical modeling serves as a fundamental framework for advancing machine learning (ML) and artificial intelligence (AI) by integrating theoretical, computational, and simulation-based approaches. This research explores how numerical optimization, differential equations, variational inference, and scientific computing contribute to the development of scalable, interpretable, and efficient AI systems. Key topics include convex and non-convex optimization, physics-informed machine learning (PIML), partial differential equation (PDE)-constrained AI, and Bayesian modeling for uncertai
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Lubowa, Nasser, Zita Ekeocha, Stephen Robert Byrn, and Kari L. Clase. Pharmaceutical Industry in Uganda: A Review of the Common GMP Non-conformances during Regulatory Inspections. Purdue University, 2021. http://dx.doi.org/10.5703/1288284317442.

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The prevalence of substandard medicines in Africa is high but not well documented. Low and Middle-Income Countries (LMICs) are likely to face considerable challenges with substandard medications. Africa faces inadequate drug regulatory practices, and in general, compliance with Good Manufacturing Practices (GMP) in most of the pharmaceutical industries is lacking. The majority of pharmaceutical manufacturers in developing countries are often overwhelmed by the GMP requirements and therefore are unable to operate in line with internationally acceptable standards. Non-conformances observed durin
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Warrick, Arthur W., Gideon Oron, Mary M. Poulton, Rony Wallach, and Alex Furman. Multi-Dimensional Infiltration and Distribution of Water of Different Qualities and Solutes Related Through Artificial Neural Networks. United States Department of Agriculture, 2009. http://dx.doi.org/10.32747/2009.7695865.bard.

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The project exploits the use of Artificial Neural Networks (ANN) to describe infiltration, water, and solute distribution in the soil during irrigation. It provides a method of simulating water and solute movement in the subsurface which, in principle, is different and has some advantages over the more common approach of numerical modeling of flow and transport equations. The five objectives were (i) Numerically develop a database for the prediction of water and solute distribution for irrigation; (ii) Develop predictive models using ANN; (iii) Develop an experimental (laboratory) database of
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Snyder, Victor A., Dani Or, Amos Hadas, and S. Assouline. Characterization of Post-Tillage Soil Fragmentation and Rejoining Affecting Soil Pore Space Evolution and Transport Properties. United States Department of Agriculture, 2002. http://dx.doi.org/10.32747/2002.7580670.bard.

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Tillage modifies soil structure, altering conditions for plant growth and transport processes through the soil. However, the resulting loose structure is unstable and susceptible to collapse due to aggregate fragmentation during wetting and drying cycles, and coalescense of moist aggregates by internal capillary forces and external compactive stresses. Presently, limited understanding of these complex processes often leads to consideration of the soil plow layer as a static porous medium. With the purpose of filling some of this knowledge gap, the objectives of this Project were to: 1) Identif
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