{"title":"Mathematical models in biology","authors":"L. Edelstein-Keshet","doi":"10.1137/1.9780898719147","DOIUrl":"https://doi.org/10.1137/1.9780898719147","url":null,"abstract":"Part I. Discrete Process in Biology: 1. The theory of linear difference equations applied to population growth 2. Nonlinear difference equations 3. Applications of nonlinear difference equations to population biology Part II. Continuous Processes and Ordinary Differential Equations: 4. An introduction to continuous models 5. Phase-plane methods and qualitative solutions 6. Applications of continuous models to population dynamics 7. Models for molecular events 8. Limit cycles, oscillations, and excitable systems Part III. Spatially Distributed Systems and Partial Differential Equation Models: 9. An introduction to partial differential equations and diffusion in biological settings 10. Partial differential equation models in biology 11. Models for development and pattern formation in biological systems Selected answers Author index Subject index.","PeriodicalId":190999,"journal":{"name":"Classics in applied mathematics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129730683","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":"The finite element method for elliptic problems","authors":"P. G. Ciarlet","doi":"10.1115/1.3424474","DOIUrl":"https://doi.org/10.1115/1.3424474","url":null,"abstract":"From the Publisher: \u0000This book is particularly useful to graduate students, researchers, and engineers using finite element methods. The reader should have knowledge of analysis and functional analysis, particularly Hilbert spaces, Sobolev spaces, and differential calculus in normed vector spaces. Other than these basics, the book is mathematically self-contained. \u0000 \u0000About the Author \u0000 \u0000Philippe G. Ciarlet is a Professor at the Laboratoire d'Analyse Numerique at the Universite Pierre et Marie Curie in Paris. He is also a member of the French Academy of Sciences. He is the author of more than a dozen books on a variety of topics and is a frequent invited lecturer at meetings and universities throughout the world. Professor Ciarlet has served approximately 75 visiting professorships since 1973, and he is a member of the editorial boards of more than 20 journals.","PeriodicalId":190999,"journal":{"name":"Classics in applied mathematics","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2002-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121092993","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":"Time series - data analysis and theory","authors":"D. Brillinger","doi":"10.2307/2530198","DOIUrl":"https://doi.org/10.2307/2530198","url":null,"abstract":"This book will be most useful to applied mathematicians, communication engineers, signal processors, statisticians, and time series researchers, both applied and theoretical. Readers should have some background in complex function theory and matrix algebra and should have successfully completed the equivalent of an upper division course in statistics.","PeriodicalId":190999,"journal":{"name":"Classics in applied mathematics","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1981-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121926126","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":"Multiple decision procedures - theory and methodology of selecting and ranking populations","authors":"S. Gupta, S. Panchapakesan","doi":"10.2307/2530791","DOIUrl":"https://doi.org/10.2307/2530791","url":null,"abstract":"From the Publisher: \u0000Audience \u0000This book can serve as a text for a graduate topics course in ranking and selection (as it has done at Purdue University for more than 30 years). It will also serve as a valuable reference for researchers and practitioners in various fields, such as agriculture, industry, engineering, and behavioral sciences. \u0000 \u0000 \u0000About the Author \u0000 \u0000Shanti S. Gupta (19252002) was Professor of Statistics and Mathematics at Purdue University from 1962 until his death in January 2002. He was a Fellow of the American Statistical Association (ASA), the Institute of Mathematical Statistics (IMS), the American Association for the Advancement of Science, the Royal Statistical Society, and the International Indian Statistical Association (Honorary). He was the president of the IMS in 1989-1990. He served on the editorial boards of several journals, including acting as the editor-in-chief of the Journal of Statistical Planning and Inference during 1989-1991. A pioneer in the area of ranking and selection, he authored well over 200 journal articles, collaborated with many researchers, and guided 30 Ph.D. students in statistics. \u0000S. Panchapakesan is Professor Emeritus of Mathematics at the Southern Illinois University at Carbondale. He has published close to 70 journal articles and reports, mostly on ranking and selection. He is a member of the ASA, IMS, and the International Statistical Institute (elected). He is currently Associate Editor of Communications in Statistics and editorial board member for American Journal of Mathematical and Management Sciences.","PeriodicalId":190999,"journal":{"name":"Classics in applied mathematics","volume":"74 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1979-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114807267","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":"Nonnegative Matrices in the Mathematical Sciences","authors":"A. Berman, R. Plemmons","doi":"10.1137/1.9781611971262","DOIUrl":"https://doi.org/10.1137/1.9781611971262","url":null,"abstract":"1. Matrices which leave a cone invariant 2. Nonnegative matrices 3. Semigroups of nonnegative matrices 4. Symmetric nonnegative matrices 5. Generalized inverse- Positivity 6. M-matrices 7. Iterative methods for linear systems 8. Finite Markov Chains 9. Input-output analysis in economics 10. The Linear complementarity problem 11. Supplement 1979-1993 References Index.","PeriodicalId":190999,"journal":{"name":"Classics in applied mathematics","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1979-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133886280","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":"Solving least squares problems","authors":"C. Lawson, R. Hanson","doi":"10.2307/2286501","DOIUrl":"https://doi.org/10.2307/2286501","url":null,"abstract":"Since the lm function provides a lot of features it is rather complicated. So we are going to instead use the function lsfit as a model. It computes only the coefficient estimates and the residuals. Now would be a good time to read the help file for lsfit. Note that lsfit supports the fitting of multiple least squares models and weighted least squares. Our function will not, hence we can omit the arguments wt, weights and yname. Also, changing tolerances is a little advanced so we will trust the default values and omit the argument tolerance as well.","PeriodicalId":190999,"journal":{"name":"Classics in applied mathematics","volume":"116 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1976-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121439074","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":"Mathematics applied to deterministic problems in the natural sciences","authors":"Chia-chiao Lin, L. Segel, G. Handelman","doi":"10.1137/1.9781611971347","DOIUrl":"https://doi.org/10.1137/1.9781611971347","url":null,"abstract":"A. An Overview of the Interaction of Mathematics and Natural Science: 1. What is applied mathematics? 2. Deterministic systems and ordinary differential equations 3. Random processes and ial differential equations 4. Superposition, heat flow, and Fourier analysis 5. Further developments in Fourier analysis B. Some Fundamental Procedures Illustrated on Ordinary Differential Equations: 6. Simplification, dimensional analysis, and scaling 7. Regular perturbation theory 8. Illustration of techniques on a physiological flow problem 9. Introduction to singular perturbation theory 10. Singular perturbation theory applied to a problem in biochemical kinetics 11. Three techniques applied to the simple pendulum C. Introduction to Theories of Continuous Fields: 12. Longitudinal motion of a bar 13. The continuous medium 14. Field equations of continuum mechanics 15. Inviscid fluid flow 16. Potential theory.","PeriodicalId":190999,"journal":{"name":"Classics in applied mathematics","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1974-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116474806","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":"Numerical solution of initial-value problems in differential-algebraic equations","authors":"K. Brenan, S. Campbell, L. Petzold","doi":"10.1137/1.9781611971224","DOIUrl":"https://doi.org/10.1137/1.9781611971224","url":null,"abstract":"Preface 1. Introduction: why DAE's? Basic types of DAE's applications Overview 2. Theory of DAE's Iintroduction solvability and the index Linear constant coefficient DAE's Linear time varying DAE's Nonlinear systems 3. Multistep methods Introduction DBF convergence BDF methods, DAE's and stiff problems General linear multistep methods 4. One-step methods Introduction Linear constant coefficient systems Nonlinear index one systems Semi-Explicit Nonlinear Index Two systems Order reduction and stiffness Extrapolation Methods 5. Software and DAE's Introduction Algorithms and Strategies in Dassl Obtaining numerical solutions Solving higher index systems 6. Applications. Introduction Systems of rigid bodies Trajectory prescribed path control Electrical networks DAE's arising from the method of lines Bibliography 7. The DAE home page Introduction theoretical advances Numerical analysis advancements DAE software DASSL Supplementary bibliography Index.","PeriodicalId":190999,"journal":{"name":"Classics in applied mathematics","volume":"140 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131560389","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}
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