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1. Differential equations [1988]
 Sánchez, David A.
 2nd ed.  Reading, Mass. : AddisonWesley Pub. Co., c1988.
 Description
 Book — 1 v. (various pagings) ; 24 cm.
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QA372 .S17 1988  Unknown 
2. A first course in differential equations [1975]
 Hagin, Frank G.
 Engelwood Cliffs, N.J. : PrenticeHall, [1975]
 Description
 Book — ix, 342 p. : ill. ; 24 cm.
 Online
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QA371 .H33  Available 
3. Modern elementary differential equations [1971]
 Bellman, Richard, 19201984.
 2nd ed.  Reading (Mass.) ; London : AddisonWesley, 1971.
 Description
 Book — xii, 228 p. : ill. ; 24 cm.
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QA372 .B418 1971  Available 
4. A first course in differential equations [2015]
 Logan, J. David (John David) author.
 Third edition.  Cham : Springer, [2015]
 Description
 Book — 1 online resource (xiii, 369 pages) : illustrations.
 Summary

 Preface to the Third Edition.1. FirstOrder Differential Equations
 2. SecondOrder Linear Equations
 3. Laplace Transforms
 4. Linear Systems
 5. Nonlinear Systems
 6. Computation of Solutions
 Appendix A. Review and Supplementary Exercises.Appendix B. Matlab(R) Supplement
 References
 Index.
 International Conference on Differential Equations: Theory, Numerics, and Applications (1996 : Bandung, Indonesia)
 Dordrecht : Springer Netherlands, 1998.
 Description
 Book — 1 online resource (400 pages)
 Summary

This volume contains the invited and contributed papers presented at an International Conference on Differential Equations held in Indonesia towards the end of 1996. Part I contains eight invited contributions from leading experts. The topics covered embrace solitary waves, aerodynamics, hydrodynamics, tidal motion and mechanical systems. Part II presents 18 contributed papers, covering a rich selection of topics involving the application and solution of differential equations to problems in various disciplines. Audience: Mathematicians, engineers and research scientists in other fields whose work involves differential equations.
6. Fundamentals of differential equations [2018]
 Nagle, R. Kent.
 Ninth edition.  Boston : Pearson, [2018]
 Description
 Book — 1 volume (various pagings) ; 26 cm
 Summary

 1. Introduction 1.1 Background 1.2 Solutions and Initial Value Problems 1.3 Direction Fields 1.4 The Approximation Method of Euler
 2. FirstOrder Differential Equations 2.1 Introduction: Motion of a Falling Body 2.2 Separable Equations 2.3 Linear Equations 2.4 Exact Equations 2.5 Special Integrating Factors 2.6 Substitutions and Transformations
 3. Mathematical Models and Numerical Methods Involving First Order Equations 3.1 Mathematical Modeling 3.2 Compartmental Analysis 3.3 Heating and Cooling of Buildings 3.4 Newtonian Mechanics 3.5 Electrical Circuits 3.6 Improved Euler's Method 3.7 HigherOrder Numerical Methods: Taylor and RungeKutta
 4. Linear SecondOrder Equations 4.1 Introduction: The MassSpring Oscillator 4.2 Homogeneous Linear Equations: The General Solution 4.3 Auxiliary Equations with Complex Roots 4.4 Nonhomogeneous Equations: The Method of Undetermined Coefficients 4.5 The Superposition Principle and Undetermined Coefficients Revisited 4.6 Variation of Parameters 4.7 VariableCoefficient Equations 4.8 Qualitative Considerations for VariableCoefficient and Nonlinear Equations 4.9 A Closer Look at Free Mechanical Vibrations 4.10 A Closer Look at Forced Mechanical Vibrations
 5. Introduction to Systems and Phase Plane Analysis 5.1 Interconnected Fluid Tanks 5.2 Elimination Method for Systems with Constant Coefficients 5.3 Solving Systems and HigherOrder Equations Numerically 5.4 Introduction to the Phase Plane 5.5 Applications to Biomathematics: Epidemic and Tumor Growth Models 5.6 Coupled MassSpring Systems 5.7 Electrical Systems 5.8 Dynamical Systems, Poincare Maps, and Chaos
 6. Theory of HigherOrder Linear Differential Equations 6.1 Basic Theory of Linear Differential Equations 6.2 Homogeneous Linear Equations with Constant Coefficients 6.3 Undetermined Coefficients and the Annihilator Method 6.4 Method of Variation of Parameters
 7. Laplace Transforms 7.1 Introduction: A Mixing Problem 7.2 Definition of the Laplace Transform 7.3 Properties of the Laplace Transform 7.4 Inverse Laplace Transform 7.5 Solving Initial Value Problems 7.6 Transforms of Discontinuous Functions 7.7 Transforms of Periodic and Power Functions 7.8 Convolution 7.9 Impulses and the Dirac Delta Function 7.10 Solving Linear Systems with Laplace Transforms
 8. Series Solutions of Differential Equations 8.1 Introduction: The Taylor Polynomial Approximation 8.2 Power Series and Analytic Functions 8.3 Power Series Solutions to Linear Differential Equations 8.4 Equations with Analytic Coefficients 8.5 CauchyEuler (Equidimensional) Equations 8.6 Method of Frobenius 8.7 Finding a Second Linearly Independent Solution 8.8 Special Functions
 9. Matrix Methods for Linear Systems 9.1 Introduction 9.2 Review
 1: Linear Algebraic Equations 9.3 Review
 2: Matrices and Vectors 9.4 Linear Systems in Normal Form 9.5 Homogeneous Linear Systems with Constant Coefficients 9.6 Complex Eigenvalues 9.7 Nonhomogeneous Linear Systems 9.8 The Matrix Exponential Function
 10. Partial Differential Equations 10.1 Introduction: A Model for Heat Flow 10.2 Method of Separation of Variables 10.3 Fourier Series 10.4 Fourier Cosine and Sine Series 10.5 The Heat Equation 10.6 The Wave Equation 10.7 Laplace's Equation
 Appendix A Newton's Method Appendix B Simpson's Rule Appendix C Cramer's Rule Appendix D Method of Least Squares Appendix E RungeKutta Procedure for n Equations.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9780321977069 20170717
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QA371 .N24 2018  Unknown 
7. Équations différentielles [2016]
 Lefebvre, Mario, 1957 author.
 Deuxième édition revue et augmentée.  Montréal : Les Presses de l'Université de Montréal, [2016]
 Description
 Book — 366 pages : illustrations ; 23 cm.
 Online
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QA371 .L354 2016  Unknown 
8. Elementary differential equations [2009]
 Boyce, William E.
 9th ed.  Hoboken, NJ : Wiley, c2009.
 Description
 Book — xix, 632 p. : ill. (some col.) ; 27 cm.
 Summary

 Preface
 Chapter 1 Introduction
 1 1.1 Some Basic Mathematical Models Direction Fields 1.2 Solutions of Some Differential Equations 1.3 Classification of Differential Equations 1.4 Historical Remarks
 Chapter 2 First Order Differential Equations 2.1 Linear Equations Method of Integrating Factors 2.2 Separable Equations 2.3 Modeling with First Order Equations 2.4 Differences Between Linear and Nonlinear Equations 2.5 Autonomous Equations and Population Dynamics 2.6 Exact Equations and Integrating Factors 2.7 Numerical Approximations: Euler's Method 2.8 The Existence and Uniqueness Theorem 2.9 First Order Difference Equations
 Chapter 3 SecondOrder Linear Equations
 135 3.1 Homogeneous Equations with Constant Coef?cients 3.2 Fundamental Solutions of Linear Homogeneous Equations The Wronskian 3.3 Complex Roots of the Characteristic Equation 3.4 Repeated Roots Reduction of Order 3.5 Nonhomogeneous Equations Method of Undetermined Coefficients 3.6 Variation of Parameters 3.7 Mechanical and Electrical Vibrations 3.8 Forced Vibrations
 Chapter 4 Higher Order Linear Equations 4.1 General Theory of nth Order Linear Equations 4.2 Homogeneous Equations with Constant Coef?cients 4.3 The Method of Undetermined Coef?cients 4.4 The Method of Variation of Parameters
 Chapter 5 Series Solutions of Second Order Linear Equations 5.1 Review of Power Series 5.2 Series Solutions Near an Ordinary Point, Part I 5.3 Series Solutions Near an Ordinary Point, Part II 5.4 Euler Equations Regular Singular Points 5.5 Series Solutions Near a Regular Singular Point, Part I 5.6 Series Solutions Near a Regular Singular Point, Part II 5.7 Bessel's Equation
 Chapter 6 The Laplace Transform 6.1 Definition of the Laplace Transform 6.2 Solution of Initial Value Problems 6.3 Step Functions 6.4 Differential Equations with Discontinuous Forcing Functions 6.5 Impulse Functions 6.6 The Convolution Integral
 Chapter 7 Systems of First Order Linear Equations 7.1 Introduction 7.2 Review of Matrices 7.3 Systems of Linear Algebraic Equations Linear Independence, Eigenvalues, Eigenvectors 7.4 Basic Theory of Systems of First Order Linear Equations 7.5 Homogeneous Linear Systems with Constant Coefficients 7.6 Complex Eigenvalues 7.7 Fundamental Matrices 7.8 Repeated Eigenvalues 7.9 Nonhomogeneous Linear Systems
 Chapter 8 Numerical Methods 8.1 The Euler or Tangent Line Method 8.2 Improvements on the Euler Method 8.3 The RungeKuttaMethod 8.4 Multistep Methods 8.5 More on Errors Stability 8.6 Systems of First Order Equations
 Chapter 9 Nonlinear Differential Equations and Stability 9.1 The Phase Plane: Linear Systems 9.2 Autonomous Systems and Stability 9.3 Locally Linear Systems 9.4 Competing Species 9.5 PredatorPrey Equations 9.6 Liapunov's Second Method 9.7 Periodic Solutions and Limit Cycles 9.8 Chaos and Strange Attractors: The Lorenz Equations Answers to Problems Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9780470039403 20160528
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QA371 .B77 2009  Unknown 
 Szeged, Hungary : Electronic Journal of Qualitative Theory of Differential Equations, 1998
 Description
 Journal/Periodical
 Kamke, E. (Erich), 18901961.
 Izd. 3., ispr.  Moskva, Nauka, Glav. red. fizikomatematicheskoĭ litry, 1965.
 Description
 Book — 703 p. illus. 22 cm.
 Online
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QA372 .K4  Available 
11. International journal of differential equations [2009  ]
 New York, N.Y. : Hindawi
 Description
 Journal/Periodical
 常微分方程式80余例とその厳密解 : 求積法で解ける新しい型の常微分方程式の例
 Nagashima, Takahiro, 1937
 長島隆廣, 1937
 Tōkyō : Kindai Bungeisha, 2005. 東京 : 近代文芸社, 2005.
 Description
 Book — v, 436 pages : ill. ; 22 cm
 Online
SAL3 (offcampus storage)
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QA372 .N355 2005  Available 
13. Exploring ODEs [2018]
 Trefethen, Lloyd N. (Lloyd Nicholas), author.
 Philadelphia : Society for Industrial and Applied Mathematics, [2018]
 Description
 Book — vii, 335 pages ; 27 cm
 Summary

 Preface to the Classics Edition Preface Errata Introduction
 Chapter 1: Number Systems and Errors
 Chapter 2: Interpolation by Polynomial
 Chapter 3: The Solution of Nonlinear Equations
 Chapter 4: Matrices and Systems of Linear Equations
 Chapter 5: Systems of Equations and Unconstrained Optimization
 Chapter 6: Approximation
 Chapter 7: Differentiation and Integration
 Chapter 8: The Solution of Differential Equations
 Chapter 9: Boundary Value Problems Appendix: Subroutine Libraries Appendix: New MATLAB Programs References Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9781611975154 20180306
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QA371 .T67 2018  Unknown 
 Artés, Joan C., 1961 author.
 Cham, Switzerland : Birkhäuser, 2018.
 Description
 Book — 1 online resource (vi, 267 pages) : illustrations (some color)
 Summary

 Introduction. Preliminary definitions. Some preliminary tools. A summary for the structurally stable quadratic vector fields. Proof of Theorem 1.1(a). Proof of Theorem 1.1(b). Bibliography.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9783319921167 20180813
 Constanda, C. (Christian), author.
 Second edition.  Cham, Switzerland : Springer, [2017]
 Description
 Book — xvii, 297 pages ; 26 cm.
 Summary

 1. Introduction.
 2. First Order Equations.
 3. Mathematical Models with FirstOrder Equations.
 4. Linear SecondOrder Equations.
 4. HigherOrder Equations.
 5. Mathematical Models with SecondOrder Equations.
 6. HigherOrder Linear Equations.
 7. Systems of Differential Equations.
 8. The Laplace Transformation.
 9. Series Solutions.
 10. Numerical Methods. A. Algebra Techniques. B. Calculus Techniques. C. Table of Laplace Transforms. D. The Greek Alphabet. Further Reading. Answers to OddNumbered Exercises. Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9783319502236 20170814
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QA371 .C66 2017  Unknown 
 Goudon, Thierry, author.
 London : ISTE Ltd ; Hoboken, NJ : John Wiley & Sons, Inc., 2016.
 Description
 Book — xi, 456 pages : illustrations (some color) ; 25 cm.
 Summary

 Preface ix
 Chapter 1. Ordinary Differential Equations
 1 1.1. Introduction to the theory of ordinary differential equations
 1 1.1.1. Existence uniqueness of firstorder ordinary differential equations
 1 1.1.2. The concept of maximal solution
 11 1.1.3. Linear systems with constant coefficients
 16 1.1.4. Higherorder differential equations
 20 1.1.5. Inverse function theorem and implicit function theorem
 21 1.2. Numerical simulation of ordinary differential equations, Euler schemes, notions of convergence, consistence and stability
 27 1.2.1. Introduction
 27 1.2.2. Fundamental notions for the analysis of numerical ODE methods
 29 1.2.3. Analysis of explicit and implicit Euler schemes
 33 1.2.4. Higherorder schemes
 50 1.2.5. Leslie s equation (Perron Frobenius theorem, power method)
 51 1.2.6. Modeling red blood cell agglomeration
 78 1.2.7. SEI model
 87 1.2.8. A chemotaxis problem
 93 1.3. Hamiltonian problems
 102 1.3.1. The pendulum problem
 106 1.3.2. Symplectic matrices symplectic schemes
 112 1.3.3. Kepler problem
 125 1.3.4. Numerical results
 129
 Chapter 2. Numerical Simulation of Stationary Partial Differential Equations: Elliptic Problems
 141 2.1. Introduction
 141 2.1.1. The 1D model problem elements of modeling and analysis
 144 2.1.2. A radiative transfer problem
 155 2.1.3. Analysis elements for multidimensional problems
 163 2.2. Finite difference approximations to elliptic equations
 166 2.2.1. Finite difference discretization principles
 166 2.2.2. Analysis of the discrete problem
 173 2.3. Finite volume approximation of elliptic equations
 180 2.3.1. Discretization principles for finite volumes
 180 2.3.2. Discontinuous coefficients
 187 2.3.3. Multidimensional problems
 189 2.4. Finite element approximations of elliptic equations
 191 2.4.1. P1 approximation in one dimension
 191 2.4.2. P2 approximations in one dimension
 197 2.4.3. Finite element methods, extension to higher dimensions
 200 2.5. Numerical comparison of FD, FV and FE methods
 204 2.6. Spectral methods
 205 2.7. Poisson Boltzmann equation minimization of a convex function, gradient descent algorithm
 217 2.8. Neumann conditions: the optimization perspective
 224 2.9. Charge distribution on a cord
 228 2.10. Stokes problem
 235
 Chapter 3. Numerical Simulations of Partial Differential Equations: Timedependent Problems
 267 3.1. Diffusion equations
 267 3.1.1. L2 stability (von Neumann analysis) and L stability: convergence
 269 3.1.2. Implicit schemes
 276 3.1.3. Finite element discretization
 281 3.1.4. Numerical illustrations
 283 3.2. From transport equations towards conservation laws
 291 3.2.1. Introduction
 291 3.2.2. Transport equation: method of characteristics
 295 3.2.3. Upwinding principles: upwind scheme
 299 3.2.4. Linear transport at constant speed analysis of FD and FV schemes
 301 3.2.5. Twodimensional simulations
 326 3.2.6. The dynamics of prion proliferation
 329 3.3. Wave equation
 345 3.4. Nonlinear problems: conservation laws
 354 3.4.1. Scalar conservation laws
 354 3.4.2. Systems of conservation laws
 387 3.4.3. Kinetic schemes
 393 Appendices
 407
 Appendix 1
 409
 Appendix 2
 417
 Appendix 3
 427
 Appendix 4
 433
 Appendix 5
 443 Bibliography
 447 Index 455.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9781848219885 20180611
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QA371 .G668 2016  Unknown 
 Radhika, T. S. L., 1974 author.
 Boca Raton, FL : CRC Press, Taylor & Francis, 2015.
 Description
 Book — xi, 188 pages : illustrations ; 24 cm
 Summary

 Chapter 1. Introduction
 chapter 2. Power series method
 chapter 3. Asymptotic method
 chapter 4. Perturbation techniques
 chapter 5. Method of multiple scales
 chapter 6. WKB theory
 chapter 7. Nonperturbation methods
 chapter 8. Homotopy methods.
 Online
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QA372 .R16 2015  Unknown 
 Brannan, James R.
 Third edition.  Hoboken, NJ : John Wiley, [2015]
 Description
 Book — xii, 673 pages : ill. ; 27 cm
 Online
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QA372 .B75 2015  Unknown 
 SaidHouari, Belkacem, author.
 Cham : Springer, 2015.
 Description
 Book — 1 online resource (x, 212 pages) : illustrations.
 Summary

 Preface
 1. Modelling and definitions
 2. Firstorder differential equations
 3. Linear secondorder equations
 4. Laplace Transforms
 5. Power series solution
 6. Systems of differential equations
 7. Qualitative theory
 Index.
 Deng, Yuefan.
 Singapore ; Hackensack, NJ : World Scientific, c2015.
 Description
 Book — xii, 519 p. : ill. ; 24 cm
 Summary

 FirstOrder Differential Equations Mathematical Models Linear DEs of Higher Order Systems of Linear DEs Laplace Transforms Appendices: Solutions to Selected Problems Laplace Transforms Derivatives & Integrals Abbreviations Teaching Plans.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9789814632256 20160617
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QA371 .D46 2015  Unknown 
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