Geometry.Net - Math Help Desk Books: Equation Solvers

Each Problem Solver is an insightful and essential study and solution guide chock-full of clear, concise problem-solving gems. All your questions can be found in one convenient source from one of the most trusted names in reference solution guides. More useful, more practical, and more informative, these study aids are the best review books and textbook companions available. Nothing remotely as comprehensive or as helpful exists in their subject anywhere. Perfect for undergraduate and graduate studies.

Here in this highly useful reference is the finest overview of differential equations currently available, with hundreds of differential equations problems that cover everything from integrating factors and Bernoulli's equation to variation of parameters and undetermined coefficients. Each problem is clearly solved with step-by-step detailed solutions.

DETAILS
- The PROBLEM SOLVERS are unique - the ultimate in study guides.
- They are ideal for helping students cope with the toughest subjects.
- They greatly simplify study and learning tasks.
- They enable students to come to grips with difficult problems by showing them the way, step-by-step, toward solving problems. As a result, they save hours of frustration and time spent on groping for answers and understanding.
- They cover material ranging from the elementary to the advanced in each subject.
- They work exceptionally well with any text in its field.
- PROBLEM SOLVERS are available in 41 subjects.
- Each PROBLEM SOLVER is prepared by supremely knowledgeable experts.
- Most are over 1000 pages.
- PROBLEM SOLVERS are not meant to be read cover to cover. They offer whatever may be needed at a given time. An excellent index helps to locate specific problems rapidly.

TABLE OF CONTENTS
Introduction
Units Conversion Factors
Chapter 1: Classification of Differential Equations
Chapter 2: Separable Differential Equations
Variable Transformation u = ax + by
Variable Transformation y = vx
Chapter 3: Exact Differential Equations
Definitions and Examples
Solving Exact Differential Equations
Making a Non-exact Differential Equation Exact
Chapter 4: Homogenous Differential Equations
Identifying Homogenous Differential Equations
Solving Homogenous Differential Equations by Substitution and Separation
Chapter 5: Integrating Factors
General Theory of Integrating Factors
Equations of Form dy/dx + p(x)y = q(x)
Grouping to Simplify Solutions
Solution Directly From M(x,y)dx + N(x,y)dy = 0
Chapter 6: Method of Grouping
Chapter 7: Linear Differential Equations
Integrating Factors
Bernoulli's Equation
Chapter 8: Riccati's Equation
Chapter 9: Clairaut's Equation
Geometrical Construction Problems
Chapter 10: Orthogonal Trajectories
Elimination of Constants
Orthogonal Trajectories
Differential Equations Derived from Considerations of Analytical Geometry
Chapter 11: First Order Differential Equations: Applications I
Gravity and Projectile
Hooke's Law, Springs
Angular Motion
Over-hanging Chain
Chapter 12: First Order Differential Equations: Applications II
Absorption of Radiation
Population Dynamics
Radioactive Decay
Temperature
Flow from an Orifice
Mixing Solutions
Chemical Reactions
Economics
One-Dimensional Neutron Transport
Suspended Cable
Chapter 13: The Wronskian and Linear Independence
Determining Linear Independence of a Set of Functions
Using the Wronskian in Solving Differential Equations
Chapter 14: Second Order Homogenous Differential Equations with Constant Coefficients
Roots of Auxiliary Equations: Real
Roots of Auxiliary: Complex
Initial Value
Higher Order Differential Equations
Chapter 15: Method of Undetermined Coefficients
First Order Differential Equations
Second Order Differential Equations
Higher Order Differential Equations
Chapter 16: Variation of Parameters
Solution of Second Order Constant Coefficient Differential Equations
Solution of Higher Order Constant Coefficient Differential Equations
Solution of Variable Coefficient Differential Equations
Chapter 17: Reduction of Order
Chapter 18: Differential Operators
Algebra of Differential Operators
Properties of Differential Operators
Simple Solutions
Solutions Using Exponential Shift
Solutions by Inverse Method
Solution of a System of Differential Equations
Chapter 19: Change of Variables
Equation of Type (ax + by + c)dx + (dx + ey + f)dy = 0
Substitutions for Euler Type Differential Equations
Trigonometric Substitutions
Other Useful Substitutions
Chapter 20: Adjoint of a Differential Equation
Chapter 21: Applications of Second Order Differential Equations
Harmonic Oscillator
Simple Pendulum
Coupled Oscillator and Pendulum
Motion
Beam and Cantilever
Hanging Cable
Rotational Motion
Chemistry
Population Dynamics
Curve of Pursuit
Chapter 22: Electrical Circuits
Simple Circuits
RL Circuits
RC Circuits
LC Circuits
Complex Networks
Chapter 23: Power Series
Some Simple Power Series
Solutions May Be Expanded
Finding Power Series Solutions
Power Series Solutions for Initial Value Problems
Chapter 24: Power Series about an Ordinary Point
Initial Value Problems
Special Equations
Taylor Series Solution to Initial Value Problem
Chapter 25: Power Series about a Singular Point
Singular Points and Indicial Equations
Frobenius Method
Modified Frobenius Method
Indicial Roots: Equal
Special Equations
Chapter 26: Laplace Transforms
Exponential Order
Simple Functions
Combination of Simple Functions
Definite Integral
Step Functions
Periodic Functions
Chapter 27: Inverse Laplace Transforms
Partial Fractions
Completing the Square
Infinite Series
Convolution
Chapter 28: Solving Initial Value Problems by Laplace Transforms
Solutions of First Order Initial Value Problems
Solutions of Second Order Initial Value Problems
Solutions of Initial Value Problems Involving Step Functions
Solutions of Third Order Initial Value Problems
Solutions of Systems of Simultaneous Equations
Chapter 29: Second Order Boundary Value Problems
Eigenfunctions and Eigenvalues of Boundary Value Problem
Chapter 30: Sturm-Liouville Problems
Definitions
Some Simple Solutions
Properties of Sturm-Liouville Equations
Orthonormal Sets of Functions
Properties of the Eigenvalues
Properties of the Eigenfunctions
Eigenfunction Expansion of Functions
Chapter 31: Fourier Series
Properties of the Fourier Series
Fourier Series Expansions
Sine and Cosine Expansions
Chapter 32: Bessel and Gamma Functions
Properties of the Gamma Function
Solutions to Bessel's Equation
Chapter 33: Systems of Ordinary Differential Equations
Converting Systems of Ordinary Differential Equations
Solutions of Ordinary Differential Equation Systems
Matrix Mathematics
Finding Eigenvalues of a Matrix
Converting Systems of Ordinary Differential Equations into Matrix Form
Calculating the Exponential of a Matrix
Solving Systems by Matrix Methods
Chapter 34: Simultaneous Linear Differential Equations
Definitions
Solutions of 2 x 2 Systems
Checking Solution and Linear Independence in Matrix Form
Solution of 3 x 3 Homogenous System
Solution of Non-homogenous System
Chapter 35: Method of Perturbation
Chapter 36: Non-Linear Differential Equations
Reduction of Order
Dependent Variable Missing
Independent Variable Missing
Dependent and Independent Variable Missing
Factorization
Critical Points
Linear Systems
Non-Linear Systems
Liapunov Function Analysis
Second Order Equation
Perturbation Series
Chapter 37: Approximation Techniques
Graphical Methods
Successive Approximation
Euler's Method
Modified Euler's Method
Chapter 38: Partial Differential Equations
Solutions of General Partial Differential Equations
Heat Equation
Laplace's Equation
One-Dimensional Wave Equation
Chapter 39: Calculus of Variations
Index

WHAT THIS BOOK IS FOR

Students have generally found differential equations a difficult subject to understand and learn. Despite the publication of hundreds of textbooks in this field, each one intended to provide an improvement over previous textbooks, students of differential equations continue to remain perplexed as a result of numerous subject areas that must be remembered and correlated when solving problems. Various interpretations of differential equations terms also contribute to the difficulties of mastering the subject.

In a study of differential equations, REA found the following basic reasons underlying the inherent difficulties of differential equations:

No systematic rules of analysis were ever developed to follow in a step-by-step manner to solve typically encountered problems. This results from numerous different conditions and principles involved in a problem that leads to many possible different solution methods. To prescribe a set of rules for each of the possible variations would involve an enormous number of additional steps, making this task more burdensome than solving the problem directly due to the expectation of much trial and error.

Current textbooks normally explain a given principle in a few pages written by a differential equations professional who has insight into the subject matter not shared by others. These explanations are often written in an abstract manner that causes confusion as to the principle's use and application. Explanations then are often not sufficiently detailed or extensive enough to make the reader aware of the wide range of applications and different aspect... ... Read more

Customer Reviews (5)

I doubt that there's a better supplemental DE book out there
I used this book for an introductory differential equations course.With the help of this book, I was completely prepared for everything the professor threw at us and more.

Some of the problems are simple and should help to reinforce the basic concepts learned from another book.Learn the fundamentals from some other book (or even a professor), and refine your thought processes using this one.There are some basic explanations of concepts and problem types, but most of the space is devoted to problems and solutions, as you may have guessed.If I had trouble with a problem from another book, I could almost always find a similar one in the REA book.A few problems are extremely difficult or involved, but the book leads you through every step of every problem.I was blown away by the depth of a few problems, but following the reasoning in this book really helped me to develop a better "feel" for the subject.

Yes, the font looks like something from your mother's typewriter, but the book is very sensibly organized into a (huge) number of chapters that should more than cover any intro-level DE course.My test reviews consisted of working problems from this book and doing little else, and I've never felt more confident going into exams.

If you're willing to put in the time, this book is probably one of the best course-related resources you could ever spend your money on.It would also be a good reference for someone who occasionally wants help with troublesome problem types.

Excellent
This is an excellent supplement to any Differential Equations class.It starts out with easy and straight forward problems and progressively gets to the more advanced problems.All steps are worked out in an easy to understand way.Most importantly this book shows the algebraic steps in obtaining solutions, which is ussually where students have trouble.This book is a must have for any science major.

An Excellent Resource!
If you are studying DEs, get this book! It beats the usual text books that only contain solutions to selected problems, namely the ones that the professor does not assign or examine you on. This book is comprehensive and contains stratagies for attacking the various problems you will encounter in undergraduate DE courses. It even contains problems and solutions to Partial Differential Equations, Fourier Series and Boundary Value Problems, not just ODEs!

Great - after learning hoe to work with - its a life saver
The book is very good, but the student have to spend some time knowing thesystem of the book. it is not strait foward .

It's alright
I thought that this book was THE problem solver as it claimed but I didn't like the format and it sure does not appeal to many college students. ... Read more

1. Differential Equations Problem Solver (Problem Solvers) by The Staff of REA, David R. Arterburn, Technology
	Paperback: 1560 Pages (1998) list price: US$30.95 -- used & new: US$18.27 (price subject to change: see help) Asin: 0878915133 Average Customer Review: Canada \| United Kingdom \| Germany \| France \| Japan
Editorial Review Book Description Each Problem Solver is an insightful and essential study and solution guide chock-full of clear, concise problem-solving gems. All your questions can be found in one convenient source from one of the most trusted names in reference solution guides. More useful, more practical, and more informative, these study aids are the best review books and textbook companions available. Nothing remotely as comprehensive or as helpful exists in their subject anywhere. Perfect for undergraduate and graduate studies. Here in this highly useful reference is the finest overview of differential equations currently available, with hundreds of differential equations problems that cover everything from integrating factors and Bernoulli's equation to variation of parameters and undetermined coefficients. Each problem is clearly solved with step-by-step detailed solutions. DETAILS - The PROBLEM SOLVERS are unique - the ultimate in study guides. - They are ideal for helping students cope with the toughest subjects. - They greatly simplify study and learning tasks. - They enable students to come to grips with difficult problems by showing them the way, step-by-step, toward solving problems. As a result, they save hours of frustration and time spent on groping for answers and understanding. - They cover material ranging from the elementary to the advanced in each subject. - They work exceptionally well with any text in its field. - PROBLEM SOLVERS are available in 41 subjects. - Each PROBLEM SOLVER is prepared by supremely knowledgeable experts. - Most are over 1000 pages. - PROBLEM SOLVERS are not meant to be read cover to cover. They offer whatever may be needed at a given time. An excellent index helps to locate specific problems rapidly. TABLE OF CONTENTS Introduction Units Conversion Factors Chapter 1: Classification of Differential Equations Chapter 2: Separable Differential Equations Variable Transformation u = ax + by Variable Transformation y = vx Chapter 3: Exact Differential Equations Definitions and Examples Solving Exact Differential Equations Making a Non-exact Differential Equation Exact Chapter 4: Homogenous Differential Equations Identifying Homogenous Differential Equations Solving Homogenous Differential Equations by Substitution and Separation Chapter 5: Integrating Factors General Theory of Integrating Factors Equations of Form dy/dx + p(x)y = q(x) Grouping to Simplify Solutions Solution Directly From M(x,y)dx + N(x,y)dy = 0 Chapter 6: Method of Grouping Chapter 7: Linear Differential Equations Integrating Factors Bernoulli's Equation Chapter 8: Riccati's Equation Chapter 9: Clairaut's Equation Geometrical Construction Problems Chapter 10: Orthogonal Trajectories Elimination of Constants Orthogonal Trajectories Differential Equations Derived from Considerations of Analytical Geometry Chapter 11: First Order Differential Equations: Applications I Gravity and Projectile Hooke's Law, Springs Angular Motion Over-hanging Chain Chapter 12: First Order Differential Equations: Applications II Absorption of Radiation Population Dynamics Radioactive Decay Temperature Flow from an Orifice Mixing Solutions Chemical Reactions Economics One-Dimensional Neutron Transport Suspended Cable Chapter 13: The Wronskian and Linear Independence Determining Linear Independence of a Set of Functions Using the Wronskian in Solving Differential Equations Chapter 14: Second Order Homogenous Differential Equations with Constant Coefficients Roots of Auxiliary Equations: Real Roots of Auxiliary: Complex Initial Value Higher Order Differential Equations Chapter 15: Method of Undetermined Coefficients First Order Differential Equations Second Order Differential Equations Higher Order Differential Equations Chapter 16: Variation of Parameters Solution of Second Order Constant Coefficient Differential Equations Solution of Higher Order Constant Coefficient Differential Equations Solution of Variable Coefficient Differential Equations Chapter 17: Reduction of Order Chapter 18: Differential Operators Algebra of Differential Operators Properties of Differential Operators Simple Solutions Solutions Using Exponential Shift Solutions by Inverse Method Solution of a System of Differential Equations Chapter 19: Change of Variables Equation of Type (ax + by + c)dx + (dx + ey + f)dy = 0 Substitutions for Euler Type Differential Equations Trigonometric Substitutions Other Useful Substitutions Chapter 20: Adjoint of a Differential Equation Chapter 21: Applications of Second Order Differential Equations Harmonic Oscillator Simple Pendulum Coupled Oscillator and Pendulum Motion Beam and Cantilever Hanging Cable Rotational Motion Chemistry Population Dynamics Curve of Pursuit Chapter 22: Electrical Circuits Simple Circuits RL Circuits RC Circuits LC Circuits Complex Networks Chapter 23: Power Series Some Simple Power Series Solutions May Be Expanded Finding Power Series Solutions Power Series Solutions for Initial Value Problems Chapter 24: Power Series about an Ordinary Point Initial Value Problems Special Equations Taylor Series Solution to Initial Value Problem Chapter 25: Power Series about a Singular Point Singular Points and Indicial Equations Frobenius Method Modified Frobenius Method Indicial Roots: Equal Special Equations Chapter 26: Laplace Transforms Exponential Order Simple Functions Combination of Simple Functions Definite Integral Step Functions Periodic Functions Chapter 27: Inverse Laplace Transforms Partial Fractions Completing the Square Infinite Series Convolution Chapter 28: Solving Initial Value Problems by Laplace Transforms Solutions of First Order Initial Value Problems Solutions of Second Order Initial Value Problems Solutions of Initial Value Problems Involving Step Functions Solutions of Third Order Initial Value Problems Solutions of Systems of Simultaneous Equations Chapter 29: Second Order Boundary Value Problems Eigenfunctions and Eigenvalues of Boundary Value Problem Chapter 30: Sturm-Liouville Problems Definitions Some Simple Solutions Properties of Sturm-Liouville Equations Orthonormal Sets of Functions Properties of the Eigenvalues Properties of the Eigenfunctions Eigenfunction Expansion of Functions Chapter 31: Fourier Series Properties of the Fourier Series Fourier Series Expansions Sine and Cosine Expansions Chapter 32: Bessel and Gamma Functions Properties of the Gamma Function Solutions to Bessel's Equation Chapter 33: Systems of Ordinary Differential Equations Converting Systems of Ordinary Differential Equations Solutions of Ordinary Differential Equation Systems Matrix Mathematics Finding Eigenvalues of a Matrix Converting Systems of Ordinary Differential Equations into Matrix Form Calculating the Exponential of a Matrix Solving Systems by Matrix Methods Chapter 34: Simultaneous Linear Differential Equations Definitions Solutions of 2 x 2 Systems Checking Solution and Linear Independence in Matrix Form Solution of 3 x 3 Homogenous System Solution of Non-homogenous System Chapter 35: Method of Perturbation Chapter 36: Non-Linear Differential Equations Reduction of Order Dependent Variable Missing Independent Variable Missing Dependent and Independent Variable Missing Factorization Critical Points Linear Systems Non-Linear Systems Liapunov Function Analysis Second Order Equation Perturbation Series Chapter 37: Approximation Techniques Graphical Methods Successive Approximation Euler's Method Modified Euler's Method Chapter 38: Partial Differential Equations Solutions of General Partial Differential Equations Heat Equation Laplace's Equation One-Dimensional Wave Equation Chapter 39: Calculus of Variations Index WHAT THIS BOOK IS FOR Students have generally found differential equations a difficult subject to understand and learn. Despite the publication of hundreds of textbooks in this field, each one intended to provide an improvement over previous textbooks, students of differential equations continue to remain perplexed as a result of numerous subject areas that must be remembered and correlated when solving problems. Various interpretations of differential equations terms also contribute to the difficulties of mastering the subject. In a study of differential equations, REA found the following basic reasons underlying the inherent difficulties of differential equations: No systematic rules of analysis were ever developed to follow in a step-by-step manner to solve typically encountered problems. This results from numerous different conditions and principles involved in a problem that leads to many possible different solution methods. To prescribe a set of rules for each of the possible variations would involve an enormous number of additional steps, making this task more burdensome than solving the problem directly due to the expectation of much trial and error. Current textbooks normally explain a given principle in a few pages written by a differential equations professional who has insight into the subject matter not shared by others. These explanations are often written in an abstract manner that causes confusion as to the principle's use and application. Explanations then are often not sufficiently detailed or extensive enough to make the reader aware of the wide range of applications and different aspect... ... Read more Customer Reviews (5) I doubt that there's a better supplemental DE book out there I used this book for an introductory differential equations course.With the help of this book, I was completely prepared for everything the professor threw at us and more. Some of the problems are simple and should help to reinforce the basic concepts learned from another book.Learn the fundamentals from some other book (or even a professor), and refine your thought processes using this one.There are some basic explanations of concepts and problem types, but most of the space is devoted to problems and solutions, as you may have guessed.If I had trouble with a problem from another book, I could almost always find a similar one in the REA book.A few problems are extremely difficult or involved, but the book leads you through every step of every problem.I was blown away by the depth of a few problems, but following the reasoning in this book really helped me to develop a better "feel" for the subject. Yes, the font looks like something from your mother's typewriter, but the book is very sensibly organized into a (huge) number of chapters that should more than cover any intro-level DE course.My test reviews consisted of working problems from this book and doing little else, and I've never felt more confident going into exams. If you're willing to put in the time, this book is probably one of the best course-related resources you could ever spend your money on.It would also be a good reference for someone who occasionally wants help with troublesome problem types. Excellent This is an excellent supplement to any Differential Equations class.It starts out with easy and straight forward problems and progressively gets to the more advanced problems.All steps are worked out in an easy to understand way.Most importantly this book shows the algebraic steps in obtaining solutions, which is ussually where students have trouble.This book is a must have for any science major. An Excellent Resource! If you are studying DEs, get this book! It beats the usual text books that only contain solutions to selected problems, namely the ones that the professor does not assign or examine you on. This book is comprehensive and contains stratagies for attacking the various problems you will encounter in undergraduate DE courses. It even contains problems and solutions to Partial Differential Equations, Fourier Series and Boundary Value Problems, not just ODEs! Great - after learning hoe to work with - its a life saver The book is very good, but the student have to spend some time knowing thesystem of the book. it is not strait foward . It's alright I thought that this book was THE problem solver as it claimed but I didn't like the format and it sure does not appeal to many college students. ... Read more

3. Parallel-Vector Equation Solvers for Finite Element Engineering by Duc Thai Nguyen
	Hardcover: 362 Pages (2001-08-01) list price: US$137.00 -- used & new: US$98.79 (price subject to change: see help) Asin: 0306466406 Canada \| United Kingdom \| Germany \| France \| Japan
Editorial Review Book Description Despite the ample number of articles on parallel-vectorcomputational algorithms published over the last 20 years, there is alack of texts in the field customized for senior undergraduate andgraduate engineering research. Parallel-Vector Equation Solvers forFinite Element Engineering Applications aims to fill thisgap, detailing both the theoretical development and importantimplementations of equation-solution algorithms. The mathematicalbackground necessary to understand their inception balances well withdescriptions of their practical uses. Illustrated with a number ofstate-of-the-art FORTRAN codes developed as examples for the book, Dr.Nguyen's text is a perfect choice for instructors and researchersalike. ... Read more

5. Iterative Equation Solvers for Structural Mechanics Problems (Computers in Engineering Division, Volume 4)
	Paperback: 77 Pages (1991) Isbn: 0791808513 Canada \| United Kingdom \| Germany \| France \| Japan

6. Application of a Finite-Volume Time-Domain Maxwell Equation Solver to Three-Dimensional Objects
	Spiral-bound: Pages (1996) -- used & new: US$31.95 (price subject to change: see help) Asin: 1423573986 Canada \| United Kingdom \| Germany \| France \| Japan
Editorial Review Product Description This is a AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH report procured by the Pentagon and made available for public release. It has been reproduced in the best form available to the Pentagon. It is not spiral-bound, but rather assembled with Velobinding in a soft, white linen cover. The Storming Media report number is A433123. The abstract provided by the Pentagon follows: Concurrent engineering approaches for the disciplines of computational fluid dynamics (CFD) and electromagnetics (CEM) are necessary for designing future high-performance, low-observable aircraft. A characteristic- based finite-volume time-domain (FVTD) computational algorithm, developed for CFD and now applied to CEM, is implemented to analyze the radar cross section (RCS) of two three-dimensional objects, the ogive and cone-sphere. The FVTD formulation implements a Monotone Upstream-Centered Scheme for Conservation Laws (MUSCL) algorithm for the flux evaluation and a Runge-Kutta multi-stage scheme for the time integration. Developmental FVTD work for the thesis focused on algorithm development to analyze scattering and obtain RCS data for closed- surface perfect electric conductor (PEC) 3-D objects using either a Gaussian pulse or sinusoid incident wave. In addition, specification of the direction and polarization of the incident wave gives monostatic and bistatic RCS results. Convergence and threshold checks end the simulation run to ensure accurate computation of the RCS. Validation of the characteristic-based FVTD formulation and code for electromagnetic scattering problems is completed by comparing RCS results obtained from the FVTD code to Moment Method and empirical RCS data. The FVTD results for the ogive and cone-sphere are within 3.0 dB of the MoM results and 3.1 dB of the empirical RCS results. Accurate FVTD computations of diffraction, traveling waves, and creeping waves require a surface grid point density of 15-30 cells/lamda. ... Read more

7. Whole-building simulation with symbolic DAE equations and general purpose solvers [An article from: Building and Environment] by P. Sahlin, L. Eriksson, P. Grozman, H. Johnsson
	Digital: Pages (2004-08-01) list price: US$8.95 -- used & new: US$8.95 (price subject to change: see help) Asin: B000RQYWWY Canada \| United Kingdom \| Germany \| France \| Japan
Editorial Review Book Description This digital document is a journal article from Building and Environment, published by Elsevier in 2004. The article is delivered in HTML format and is available in your Amazon.com Media Library immediately after purchase. You can view it with any web browser. Description: In building simulation, as in several other domains, traditional monolithic simulation codes are still in dominance over simulators based on symbolic equations in a general modeling language. Introduced in 1998, IDA Indoor Climate and Energy has become the first widely spread thermal building performance simulator based on the new technology. Developing a full-fledged dynamic whole-building simulation program is a formidable endeavor in any setting and since the first beta version in 1997 a number of lessons have been learned. The paper shares some of these experiences concerning general program structure, models, performance, integration, GUI design and issues specifically linked to equation-based modeling using a variable timestep differential-algebraic (DAE) solver. ... Read more

8. Ordinary differential equations (Problem solvers) by John Heading
	Paperback: 92 Pages (1971) Isbn: 0045170029 Canada \| United Kingdom \| Germany \| France \| Japan

9. The universal equation solver: A simple, new method for microcomputers by Noel Kantaris
	Unknown Binding: 196 Pages (1983) Isbn: 0905104404 Canada \| United Kingdom \| Germany \| France \| Japan

10. Recent Advances in Integral Equation Solvers in Electromagnetics (Synthesis Lectures on Computational Electromagnetics) by Weng Chew, Bin Hu
	Paperback: Pages (2007-07-15) list price: US$40.00 -- used & new: US$40.00 (price subject to change: see help) Asin: 1598291483 Canada \| United Kingdom \| Germany \| France \| Japan
Editorial Review Book Description This book address the recent advent of fast equation solvers, whichgreatly increases efficiency in integral equations adn electromagneticapplications. The authors also address the combination of integral anddifferential equations to reduce resource usage and increase speed.Time-domain integral equationsolvers are often the most efficient formanaging broadband data in electromagnetics. ... Read more

11. The Differential Equations Problem Solver by Max, program director Fogiel
	Paperback: Pages (1986) Asin: B000V8Z9YI Canada \| United Kingdom \| Germany \| France \| Japan

12. Differential Equations Problem Solvers by Rea
	Paperback: Pages (1980) Asin: B000N79UDI Canada \| United Kingdom \| Germany \| France \| Japan

13. Periodic Integral & Pseudodifferential Equations with Numerical Approximation by Jukka Saranen, Gennadi Vainikko, J. Saranen
	Hardcover: 500 Pages (2001-12-12) list price: US$129.00 -- used & new: US$63.04 (price subject to change: see help) Asin: 3540418784 Canada \| United Kingdom \| Germany \| France \| Japan
Editorial Review Book Description Classical boundary integral equations arising from the potential theory and acoustics (Laplace and Helmholtz equations) are derived. Using the parametrization of the boundary these equations take a form of periodic pseudodifferential equations. A general theory of periodic pseudodifferential equations and methods of solving are developed, including trigonometric Galerkin and collocation methods, their fully discrete versions with fast solvers, quadrature and spline based methods. The theory of periodic pseudodifferential operators is presented in details, with preliminaries (Fredholm operators, periodic distributions, periodic Sobolev spaces) and full proofs. This self-contained monograph can be used as a textbook by graduate/postgraduate students. It also contains a lot of carefully chosen exercises. ... Read more

14. Ode Solver: Numerical Procedures for Ordinary Differential Equations IBM PC VersionBook & Disk by Thomas Kiffe, William Rundell
	Hardcover: Pages (1995-09) list price: US$49.95 -- used & new: US$18.09 (price subject to change: see help) Asin: 0534946569 Canada \| United Kingdom \| Germany \| France \| Japan
Editorial Review Book Description Self-contained, menu-driven software program and accompanying booklet designed to guide student through numerical routines for initial and boundary value problems. ... Read more

15. Ode Solver: Numerical Procedures for Ordinary Differential Equations Macintosh by Thomas Kiffe, William Rundell
	Paperback: Pages (1995-09) list price: US$45.95 -- used & new: US$9.95 (price subject to change: see help) Asin: 0534946577 Canada \| United Kingdom \| Germany \| France \| Japan

16. An efficient and flexible computational model for solving the mild slope equation [An article from: Coastal Engineering] by J. Tang, Y. Shen, Y. Zheng, D. Qiu
	Digital: Pages (2004-04-01) list price: US$8.95 -- used & new: US$8.95 (price subject to change: see help) Asin: B000RR11AE Canada \| United Kingdom \| Germany \| France \| Japan
Editorial Review Book Description This digital document is a journal article from Coastal Engineering, published by Elsevier in 2004. The article is delivered in HTML format and is available in your Amazon.com Media Library immediately after purchase. You can view it with any web browser. Description: The mild slope equation is used to describe wave propagating in the near shore region. In this paper, the finite difference method is used to discretize the governing elliptic equation and the discretized linear equation is solved using GPBiCG (m, n) method. Two cases of wave propagating are used to test the model, and reasonable agreements have been achieved. It is shown that the present algorithm: GPBiCG (m, n) with a flexible and diverse form, has a fast and relatively robust convergence rate, and can be efficiently and economically run in either the linear or nonlinear wave model and easily used to a complicated region. ... Read more

17. Hybrid Solvers for the Maxwell Equations in Time-Domain (Uppsala Dissertations from the Faculty of Science & Technology, 40) by Frederik Edelvik
	Paperback: 155 Pages (2002-07) list price: US$44.00 -- used & new: US$44.00 (price subject to change: see help) Asin: 9155453546 Canada \| United Kingdom \| Germany \| France \| Japan

18. Differential Equations Problem Solver [Vol. I] by Max Fogiel, Staff of Research and Education Association
	Paperback: 690 Pages (1984) Isbn: 0878915133 Canada \| United Kingdom \| Germany \| France \| Japan

19. A compressible Navier-Stokes solver with two-equation and Reynolds stress turbulence close models (NASA contractor report) by Joseph H Morrison
	Unknown Binding: 41 Pages (1992) Asin: B0006DK6Q4 Canada \| United Kingdom \| Germany \| France \| Japan

20. Control-volume based Navier-Stokes equation solver valid at all flow velocities (NASA technical memorandum) by S. W Kim
	Unknown Binding: 38 Pages (1989) Asin: B00072LRZI Canada \| United Kingdom \| Germany \| France \| Japan