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The Impact Of Question-Answer Relationships On Thai Reading Comprehension Of Economically Disadvantaged Students: A Mixed Methods Study In Thailand, Raveema Mongkolrat Aug 2017

The Impact Of Question-Answer Relationships On Thai Reading Comprehension Of Economically Disadvantaged Students: A Mixed Methods Study In Thailand, Raveema Mongkolrat

Dissertations

Thailand’s education has not succeeded in meeting the Ministry of Education Thailand’s goals for Thai language. The problem manifests in students’ substandard Thai reading comprehension. Results of the Thailand’s standardized national test showed that students, especially those with economical disadvantages, have performed poorly in Thai reading comprehension for many consecutive years. A confounding factor could be the dearth of evidence-based comprehension instruction in Thai classrooms. This mixed methods study examined the effectiveness of Question-Answer Relationships, which is an evidence-based comprehension strategy, in a Thai reading classroom. Fifty-seven fifth graders and one teacher participated in the study. The quantitative research design …


Generalized Partial Least Squares Approach For Nominal Multinomial Logit Regression Models With A Functional Covariate, Amani Mohammed H Albaqshi Aug 2017

Generalized Partial Least Squares Approach For Nominal Multinomial Logit Regression Models With A Functional Covariate, Amani Mohammed H Albaqshi

Dissertations

Functional Data Analysis (FDA) has attracted substantial attention for the last two decades. Within FDA, classifying curves into two or more categories is consistently of interest to scientists, but multi-class prediction within FDA is challenged in that most classification tools have been limited to binary response applications. The functional logistic regression (FLR) model was developed to forecast a binary response variable in the functional case. In this study, a functional nominal multinomial logit regression (F-NM-LR) model was developed that shifts the FLR model into a multiple logit model. However, the model generates inaccurate parameter function estimates due to multicollinearity in …


Educators’ Perceptions Of The Substitution, Augmentation, Modification, Redefinition Model For Technology Integration, Mark Angelo Savignano Aug 2017

Educators’ Perceptions Of The Substitution, Augmentation, Modification, Redefinition Model For Technology Integration, Mark Angelo Savignano

Dissertations

The Substitution, Augmentation, Modification, Redefinition (SAMR) model has been introduced (Puentedura, 2006) claims that use of technology could predict student outcomes. School districts and educational institutions have been adopting this model in hopes to enhance the educational experience and outcomes for their students (SAMR Model, n.d.). This study explored six teachers’ and three administrators’ perception of the SAMR model in integrating technology into the classroom environment. This qualitative research, used surveys and interviews for indicative analysis using the constructivist approach. Data analysis found that educators using the SAMR model were and had a common level used for technology integration as …


Anodic Nanocatalysts For Formic Acid Fuel Cells: An Electrochemical Study, Tamanna F. Shanta Mcfarland Aug 2017

Anodic Nanocatalysts For Formic Acid Fuel Cells: An Electrochemical Study, Tamanna F. Shanta Mcfarland

Dissertations

Direct formic acid fuel cells (DFAFCs) have been reported as a prominent source of alternative green energy and solution to imminent energy crisis for the last two decades. The challenge to commercialize DFAFCs is primarily the utilization of cost effective, high performance and durable anodic catalyst for formic acid oxidation (FAO). Consequently, this dissertation addresses the extensive electrochemical study of a number of nanomaterials towards the potential use as electrocatalysts for FAO. Morphology and elemental analyses of the prepared nanomaterials were obtained using electron microscopy techniques.

After a general introduction and overall review of this dissertation (Chapter I), studies of …


Synthesis And Catalytic Evaluation Of Novel C-Alpha-Methyl-Beta-Proline Analogues, And Concise Synthetic Approach To Nh-Fmoc-S-Trityl-C-Alpha-Methyl Cysteine, Hari Kiran Kotapati Aug 2017

Synthesis And Catalytic Evaluation Of Novel C-Alpha-Methyl-Beta-Proline Analogues, And Concise Synthetic Approach To Nh-Fmoc-S-Trityl-C-Alpha-Methyl Cysteine, Hari Kiran Kotapati

Dissertations

In the field of chemistry there is a growing demand for small molecule organocatalysts such as amino acids, more specifically proline and its analogues, which could catalyze various key chemical reactions in the synthesis of several biologically important molecules. Even though natural proline is reported to catalyze various chemical reactions, its use as organocatalyst is limited mainly due to the solubility issues in the reaction media and high catalyst loadings, which is not very ideal for bulk scale manufacturing. To address these limitations we planned to develop unnatural analogues of proline that could catalyze the reactions with lower catalyst loadings …


Finite Element Maximum Entropy Method For Approximating Absolutely Continuous Invariant Measures, Tulsi Upadhyay Aug 2017

Finite Element Maximum Entropy Method For Approximating Absolutely Continuous Invariant Measures, Tulsi Upadhyay

Dissertations

In a chaotic dynamical system, the eventual behavior of iterates of initial points of a map is unpredictable even though the map is deterministic. A system which is chaotic in a deterministic point of view may be regular in a statistical viewpoint. The statistical viewpoint requires the study of absolutely continuous invariant measure (ACIM) of a map with respect to the Lebesgue measure. An invariant density of the Frobenius-Perron (F-P) operator associated with a nonsingular map is employed to evaluate an ACIM of the map. The ACIM is a key factor for studying the eventual behavior of iterates of almost …


Electrogenerated Chemiluminescent Studies Of 9,10-Diphenylanthracene, Rubrene, Tris(2,2'-Bipyridine)Ruthenium(Ii) Species, And Their Derivatives For Sensitive Detection Of Biomolecules, Pradip Bastola Aug 2017

Electrogenerated Chemiluminescent Studies Of 9,10-Diphenylanthracene, Rubrene, Tris(2,2'-Bipyridine)Ruthenium(Ii) Species, And Their Derivatives For Sensitive Detection Of Biomolecules, Pradip Bastola

Dissertations

This dissertation explored and investigated the coreactant electrogenerated chemiluminescent (ECL) properties of unmixed and mixed systems of highly efficient ECL emitters, such as 9,10-diphenylanthracene (DPA), rubrene (RUB), and tris(2,2′-bipyridine)ruthenium(II) [(Ru(bpy)32+)] species as well as their water-soluble derivatives, which can serve as ECL labels for sensitive bioanalysis of single or multiple analytes. The screening of most favorable common ECL coreactants, their concentration effects along with the effect of working electrode materials on ECL behavior, and energy transfer related interactions between ECL emitters were systematically investigated. In addition, a strategy for improvement of ECL signals with the use of …


Numerical Solution Of Partial Differential Equations Using Polynomial Particular Solutions, Thir R. Dangal Aug 2017

Numerical Solution Of Partial Differential Equations Using Polynomial Particular Solutions, Thir R. Dangal

Dissertations

Polynomial particular solutions have been obtained for certain types of partial differential operators without convection terms. In this dissertation, a closed-form particular solution for more general partial differential operators with constant coefficients has been derived for polynomial basis functions. The newly derived particular solutions are further coupled with the method of particular solutions (MPS) for numerically solving a large class of elliptic partial differential equations. In contrast to the use of Chebyshev polynomial basis functions, the proposed approach is more flexible in selecting the collocation points inside the domain. Polynomial basis functions are well-known for yielding ill-conditioned systems when their …


Property Morphology Correlations Of Organic Semiconductor Nanowires, Frederick Marshall Mcfarland Aug 2017

Property Morphology Correlations Of Organic Semiconductor Nanowires, Frederick Marshall Mcfarland

Dissertations

Chemically doped and non-doped P3HT nanoaggregates are studied to establish a comprehensive understanding of the interplay between their morphology and various optoelectronic properties. One-dimensional nanoaggregates of P3HT are chosen as the model systems here due to their high surface/volume ratio and suitability for microscopic investigations.

Atomic force microscopy (AFM) and kelvin probe force microscopy (KPFM) are used to correlate property/morphology characteristics of non-doped P3HT nanowhiskers. Topographical measurements indicate that individually folded P3HT motifs stack via interfacial interactions to form nanowhiskers in solution. Further aging leads to multi-layered nanowhiskers with greater stability and less instances of π-π sliding of interfacial edge-on …


Solution Of Pdes For First-Order Photobleaching Kinetics Using Krylov Subspace Spectral Methods, Somayyeh Sheikholeslami Aug 2017

Solution Of Pdes For First-Order Photobleaching Kinetics Using Krylov Subspace Spectral Methods, Somayyeh Sheikholeslami

Dissertations

We solve the first order reaction-diffusion equations which describe binding-diffusion kinetics using a photobleaching scanning profile of a confocal laser scanning microscope approximated by a Gaussian laser profile. We show how to solve these equations with prebleach steady-state initial conditions using a time-domain method known as a Krylov Subspace Spectral (KSS) method. KSS methods are explicit methods for solving time- dependent variable-coefficient partial differential equations (PDEs). KSS methods are advantageous compared to other methods because of their stability and their superior scalability. These advantages are obtained by applying Gaussian quadrature rules in the spectral domain developed by Golub and Meurant. …


Evaluation Of A Positive Version Of The Good Behavior Game Utilizing Classdojo Technology In Secondary Classrooms, William Blake Ford Aug 2017

Evaluation Of A Positive Version Of The Good Behavior Game Utilizing Classdojo Technology In Secondary Classrooms, William Blake Ford

Dissertations

Appropriate and effective classroom management skills are critical in supporting students’ academic, social, and behavior development in schools; however, teachers often cite needing help with classroom management as their greatest need. Given this concern, school psychologists need effective and efficient strategies to offer to teachers and school staff dealing with classwide behavioral difficulties. The Good Behavior Game (GBG) is an empirically supported interdependent group contingency intervention providing explicit classroom management techniques aimed at improving student behavior. The purpose of this study was to assess the effects of a positive version of the GBG utilizing ClassDojo technology on classwide academically engaged …


Evaluating Relevance And Reliability Of Twitter Data For Risk Communication, Xiaohui Liu Aug 2017

Evaluating Relevance And Reliability Of Twitter Data For Risk Communication, Xiaohui Liu

Dissertations

While Twitter has been touted to provide up-to-date information about hazard events, the relevance and reliability of tweets is yet to be tested. This research examined the relevance and reliability of risk information extracted from Twitter during the 2013 Colorado floods using five different approaches. The first approach examined the relationship between tweet volume and precipitation amount. The second approach explored the relationship between geo-tagged tweets and degree of damage. In the third approach, the spatiotemporal distribution of tweets was compared with flood extent. In the fourth approach, risk information from tweets were compared with survey responses obtained in a …


Makerspaces: A Qualitative Look Into Makerspaces As Innovative Learning Environment, Catherine Otieno Aug 2017

Makerspaces: A Qualitative Look Into Makerspaces As Innovative Learning Environment, Catherine Otieno

Dissertations

This study examined makerspace instructor’s pedagogical practices and how these influenced learning within the space. Three different Makerspaces located in a library and K-12 were selected and studied. The instructors teaching within these spaces were observed, interviewed and artifacts collected. Preliminary results showed that the pedagogical practices of Makerspace instructors were in line with constructivist, framework for 21st century learning and constructionism theoretical framework. These results further showed that making and tinkering in the makerspace does contribute to learning if we define learning from the lenses of constructivist, framework for 21st century learning and constructionism framework. This study has several …


The Good Behavior Game: Effects On And Maintenance Of Behavior In Middle-School Classrooms Using Class Dojo, Komila Dadakhodjaeva Aug 2017

The Good Behavior Game: Effects On And Maintenance Of Behavior In Middle-School Classrooms Using Class Dojo, Komila Dadakhodjaeva

Dissertations

Classroom management is one of the key components for successful instruction and affects both instructors and learners. Although most frequent discipline strategies in schools involve punitive actions, research suggests that using positive statements to teach and reinforce desirable behaviors is more appropriate and effective. A form of a group-oriented contingency that focuses on desirable behaviors is a positive variation of the Good Behavior Game (GBG). The GBG has been used widely in its original form, focusing on undesirable behaviors, and more research is needed on its positive version. Another strategy that can be used within classrooms is Class Dojo, a …


Cultural Values, Narratives And Myth In Reality Television, Alison Rebecca Foster Miller Aug 2017

Cultural Values, Narratives And Myth In Reality Television, Alison Rebecca Foster Miller

Dissertations

Television programming today consists of many unique genres, many of which have existed since the birth of television in 1948. Although reality television is considered a relatively new genre of television programming, this genre has proven a vital, contributing type of programming since the development of early programs such as Candid Camera, Queen For a Day and I'd Like to See.

Scholarly research has demonstrated the importance of television programming as a form of cultural transmission within society. Further, scholarly research on reality television programming has investigated the implications of the genre of reality television programming on the …


A Comparison Of Two Mcmc Algorithms For Estimating The 2pl Irt Models, Meng-I Chang Aug 2017

A Comparison Of Two Mcmc Algorithms For Estimating The 2pl Irt Models, Meng-I Chang

Dissertations

The fully Bayesian estimation via the use of Markov chain Monte Carlo (MCMC) techniques has become popular for estimating item response theory (IRT) models. The current development of MCMC includes two major algorithms: Gibbs sampling and the No-U-Turn sampler (NUTS). While the former has been used with fitting various IRT models, the latter is relatively new, calling for the research to compare it with other algorithms. The purpose of the present study is to evaluate the performances of these two emerging MCMC algorithms in estimating two two-parameter logistic (2PL) IRT models, namely, the 2PL unidimensional model and the 2PL multi-unidimensional …


A Qualitative Study Of The Positive Transformation Of Public High School Cultures As Perceived By Administrators, Teachers, And Classified Staff Members, Amy L. Besler Jul 2017

A Qualitative Study Of The Positive Transformation Of Public High School Cultures As Perceived By Administrators, Teachers, And Classified Staff Members, Amy L. Besler

Dissertations

Purpose: The purpose of this qualitative phenomenological study is to discover the factors which contribute to the positive transformation of a comprehensive public high school’s culture as perceived by the school’s administrators, teachers, and classified staff. An additional purpose of the study is to determine what similarities and differences exist between the perceptions of administrators, teachers, and classified staff.

Methodology: The researcher identified comprehensive public high schools within the state of California where measurable growth in positive perceptions of school culture had been achieved within the preceding two to four years. Of this target population, six schools were identified, through …


Teachers’ Perceptions Of Educational Games That Keep Score Of Cooperative Performances, Theodore Alden Wohlfarth Jul 2017

Teachers’ Perceptions Of Educational Games That Keep Score Of Cooperative Performances, Theodore Alden Wohlfarth

Dissertations

The scoring systems used in traditional sports and games are founded on the zero-sum premise that players are on opposite sides and one side can win only if the other side loses. These scoring systems may be effective at nurturing zero-sum mindsets and providing data for assessing performance in win-lose relationships. If so, games that use different scoring systems can be used to facilitate the development of collaborative mindsets, nurture win-win skills between diverse groups, and enable objective self-assessment of performances in non-zero-sum events when engaging with those on “other sides.” Although economic game theory has rich reservoirs of research …


Cadmium Chloride Dimensionality Changes From Ortho-Substituted Anilines, Stephanie Cernicek Jul 2017

Cadmium Chloride Dimensionality Changes From Ortho-Substituted Anilines, Stephanie Cernicek

Dissertations

Inorganic-organic hybrid metal halide materials have been of great interest recently due to the useful properties offered by such a combination. The inorganic portions usually consisting of MX62- subunits, (M = Pb, Sn, Cd, Cu; X = Cl, Br, I) most often form 2-D perovskite layers where the metals are bridged by corner sharing halides. The organic portion, usually consisting of primary amines or anilines provides a template for the inorganic framework and in some cases, dictates the dimensionality (2-D, 1-D, 0-D) of the network. These materials have various applications in host-guest chemistry catalysis, and gas storage, or …


Sistahs For Success: An Adult Education Intervention Program To Increase Career Decsion Self-Efficacy For African American Women, Traci L. Hodges Jul 2017

Sistahs For Success: An Adult Education Intervention Program To Increase Career Decsion Self-Efficacy For African American Women, Traci L. Hodges

Dissertations

The purpose of this study was to determine if there is a significant difference in career decision self-efficacy for African American women after participating in a short-term, adult education intervention program and to give voice to barriers and challenges experienced by African American women in their career development and the coping strategies they use to overcome these obstacles. In this quasi-experimental mixed methods study, a snowball sample of 20 African American women participated in a short-term adult education intervention program designed using Black feminist critical social theory and the career management model of social cognitive career theory. A pre-test-post-test control …


Meeting Yourself Without Rose Colored Glasses: An Urban Public School, Shenelle Dubose, Apryll Mendez Jul 2017

Meeting Yourself Without Rose Colored Glasses: An Urban Public School, Shenelle Dubose, Apryll Mendez

Dissertations

The impact of a culturally relevant professional development series on classroom teacher’s cultural lens was determined. Fifty teachers from two different school districts participated in 16 hours of professional development in an attempt to impact their understanding of how culture and instruction are connected.

During the professional development, participants took part in activities, dialogues and reflections designed to impact their cultural competency. The content of the four professional development sessions included (a) videos on culturally relevant teaching; (b) discussion of cultural identity of participants and how it surfaces in the classroom; (c) discussion of the culture, values, and beliefs of …


Meeting Yourself Without Rose Colored Glasses: An Urban Charter, Apryll L. Mendez Gaskew, Shenelle M. Dubose Jul 2017

Meeting Yourself Without Rose Colored Glasses: An Urban Charter, Apryll L. Mendez Gaskew, Shenelle M. Dubose

Dissertations

Abstract

The impact of a culturally relevant professional development series on classroom teacher’s cultural lens was determined. Fifty teachers from two different school districts participated in 16 hours of professional development in an attempt to impact their understanding of how culture and instruction are connected.

During the professional development, participants took part in activities, dialogues and reflections designed to impact their cultural competency. The content of the four professional development sessions included (a) videos on culturally relevant teaching; (b) discussion of cultural identity of participants and how it surfaces in the classroom; (c) discussion of the culture, values, and beliefs …


Analysis Of A Stem Education Professional Development Conference For Pre-Service Educators, Keeta Holmes, Pamela Atkinson-Hamilton, Tiffanni Durham, Gloria Hardrict-Ewing, Deborah Heisler, Christina Hughes, Rosalinda Williams, Lane Walker, Christopher Young-El, Amy Dooley Jul 2017

Analysis Of A Stem Education Professional Development Conference For Pre-Service Educators, Keeta Holmes, Pamela Atkinson-Hamilton, Tiffanni Durham, Gloria Hardrict-Ewing, Deborah Heisler, Christina Hughes, Rosalinda Williams, Lane Walker, Christopher Young-El, Amy Dooley

Dissertations

Science, technology, engineering, and mathematics (STEM) disciplines are attracting increased attention in education. The iSTEM 2017 conference was a professional development program designed to acquaint pre-service teachers with interdisciplinary, research-based STEM instructional strategies that can transform traditional classroom instruction into dynamic learning environments.

The STEM Education Scholars (STEMES) is a Learning Community of Practice, housed in the College of Education, at a midsized mid-western public research university. The program of study focused on designing a professional development program for future Pre-K12 teachers. The iSTEM 2017 conference presented by the STEMES Community of Practice sought to inform pre-service teachers of STEM …


Detecting User Demographics In Twitter To Inform Health Trends In Social Media, Christopher R. Markson Jul 2017

Detecting User Demographics In Twitter To Inform Health Trends In Social Media, Christopher R. Markson

Dissertations

The widespread and popular use of social media and social networking applications offer a promising opportunity for gaining knowledge and insights regarding population health conditions thanks to the diversity and abundance of online user-generated information (UGHI) relating to healthcare and well-being. However, users on social media and social networking sites often do not supply their complete demographic information, which greatly undermines the value of the aforementioned information for health 2.0 research, e.g., for discerning disparities across population groups in certain health conditions. To recover the missing user demographic information, existing methods observe a limited scope of user behaviors, such as …


The Analysis And The Three-Dimensional, Forward-Fit Modeling Of The Hard X-Ray And The Microwave Emissions Of Major Solar Flares, Natsuha Kuroda Jul 2017

The Analysis And The Three-Dimensional, Forward-Fit Modeling Of The Hard X-Ray And The Microwave Emissions Of Major Solar Flares, Natsuha Kuroda

Dissertations

Solar flares are one of the most violent and energetic space weather events that are known to cause various adverse effects on the Earth. One of the major problems that must be solved to understand flares and to be able to predict their magnitudes is how the particles in the solar atmosphere are accelerated after the magnetic reconnection. One way to help solve this problem is to investigate the properties of the high energy electrons produced during the flare impulsive phase, observed in the hard X-ray (HXR) and microwave (MW). The two emissions are considered to be produced by a …


Decision Models For Fast-Fashion Supply And Stocking Problems In Internet Fulfillment Warehouses, Jingran Zhang Jul 2017

Decision Models For Fast-Fashion Supply And Stocking Problems In Internet Fulfillment Warehouses, Jingran Zhang

Dissertations

Internet technology is being widely used to transform all aspects of the modern supply chain. Specifically, accelerated product flows and wide spread information sharing across the supply chain have generated new sets of decision problems. This research addresses two such problems. The first focuses on fast fashion supply chains in which inventory and price are managed in real time to maximize retail cycle revenue. The second is concerned with explosive storage policies in Internet Fulfillment Warehouses (IFW).

Fashion products are characterized by short product life cycles and market success uncertainty. An unsuccessful product will often require multiple price discounts to …


Dual Credit Instructor And Counselor Opinions Concerning The Effectiveness Of Dual Credit Programs On Post-Secondary Readiness In Southwest Missouri, Natalie Gail Cook Jul 2017

Dual Credit Instructor And Counselor Opinions Concerning The Effectiveness Of Dual Credit Programs On Post-Secondary Readiness In Southwest Missouri, Natalie Gail Cook

Dissertations

Dual enrollment numbers continue to increase in public school districts; therefore, dual credit programs must be effective for students, adequately challenging them academically and preparing them for the college environment (Flores, 2014). The intention of this study was to survey dual credit instructors and counselors to determine their opinions of post-secondary readiness among dual credit learners in southwest Missouri. Results of the study were organized based upon significance regarding effectiveness. Researchers are uncertain concerning the effectiveness of dual credit programs for post-secondary readiness (Cowan & Goldhaber, 2015). This study was intended to close gaps in the research and to support …


Boundary Integral Equation Based Numerical Solutions Of Helmholtz Transmission Problems For Composite Scatters, Haiyang Qi Jul 2017

Boundary Integral Equation Based Numerical Solutions Of Helmholtz Transmission Problems For Composite Scatters, Haiyang Qi

Dissertations

In this dissertation, an in-depth comparison between boundary integral equation solvers and Domain Decomposition Methods (DDM) for frequency domain Helmholtz transmission problems in composite two-dimensional media is presented. Composite media are characterized by piece-wise constant material properties (i.e., index of refraction) and thus, they exhibit interfaces of material discontinuity and multiple junctions. Whenever possible to use, boundary integral methods for solution of Helmholtz boundary value problems are computationally advantageous. Indeed, in addition to the dimensional reduction and straightforward enforcement of the radiation conditions that these methods enjoy, they do not suffer from the pollution effect present in volumetric discretization. The …


Seepage Monitoring And Diagnosis Of Distresses In An Earth Embankment Dam Using Probability Methods, Seyed Mohammad Reza Mousavian Jul 2017

Seepage Monitoring And Diagnosis Of Distresses In An Earth Embankment Dam Using Probability Methods, Seyed Mohammad Reza Mousavian

Dissertations

Failure of embankment dams may result in catastrophic consequences. Considering seepage and internal erosion are accounted as one of the major causes of failure in earth embankment dams, it is essential to detect any concentrated seepage and sources of distress at early stages. A number of investigation and monitoring methods exist for the detection of seepage, with varying degrees of technological and implementation complexity. This research, focuses on the Electrical Resistivity Monitoring Method (ERM), and develops a condition assessment process that allows 1) the identification of potential seepage areas and progress through visual observation and flow measurement, and 2) the …


Efficient Coarse-Grained Brownian Dynamics Simulations For Dna And Lipid Bilayer Membrane With Hydrodynamic Interactions, Szu-Pei Fu Jul 2017

Efficient Coarse-Grained Brownian Dynamics Simulations For Dna And Lipid Bilayer Membrane With Hydrodynamic Interactions, Szu-Pei Fu

Dissertations

The coarse-grained molecular dynamics (CGMD) or Brownian dynamics (BD) simulation is a particle-based approach that has been applied to a wide range of biological problems that involve interactions with surrounding fluid molecules or the so-called hydrodynamic interactions (HIs). From simple biological systems such as a single DNA macromolecule to large and complicated systems, for instances, vesicles and red blood cells (RBCs), the numerical results have shown outstanding agreements with experiments and continuum modeling by adopting Stokesian dynamics and explicit solvent model. Finally, when combined with fast algorithms such as the fast multipole method (FMM) which has nearly optimal complexity in …